Transcript A c - Texas Math TAKS

6th Grade TAKS
Released Tests
by Objective
Objective
1
Numbers, operations, and quantitative reasoning
2
Patterns, relationships, and algebraic reasoning
3
Geometry and spatial reasoning
4
Measurement
5
Probability and statistics
6
Mathematical processes and tools
Objective 1:
The student will demonstrate an
understanding of numbers,
operations, and
quantitative reasoning.
(6.1) Number, operation, and
quantitative reasoning. The student
represents and uses rational numbers in
a variety of equivalent forms. The
student is expected to
(A) compare and order non-negative
rational numbers;
Sam recorded the lengths of his model cars in
inches. Which list shows the lengths in order
from greatest to least?
A
6.8 in., 6.78 in., 6.45 in., 6.5 in., 6.34 in.
B
6.34 in., 6.45 in., 6.5 in., 6.78 in., 6.8 in.
C
6.8 in., 6.78 in., 6.45 in., 6.34 in., 6.5 in.
D
6.8 in., 6.78 in., 6.5 in., 6.45 in., 6.34 in.
Correct Answer - D
Spring 2003 #7
Amy, Jasmine, Katrina, and Myra each walked from
their houses to the mall. Amy walked ½ mile, Jasmine
walked ¼ mile, Katrina walked ¾ mile, and Myra
walked ⅝ mile. Which list shows these distances in
order from greatest to least?
Correct Answer - G
Spring 2003 #16
Which statement about the mixed number 1⅓ is true?
Correct Answer - C
April 2004 #31
The table below shows the
time it took 4 runners to
finish a 100-meter dash.
Which list shows the
runners in order from
fastest to slowest?
F
Bernice, Elaine, Dawn, Carlene
G
Dawn, Carlene, Elaine, Bernice
H
Carlene, Bernice, Elaine, Dawn
J
Bernice, Carlene, Dawn, Elaine
Correct Answer - F
April 2006 #32
Which number line shows the points correctly
labeled?
Correct Answer - D
2008 Released Item
(6.1) Number, operation, and
quantitative reasoning. The student
represents and uses rational numbers in
a variety of equivalent forms. The
student is expected to
(B) generate equivalent forms of
rational numbers including whole
numbers, fractions, and decimals;
Stephanie bought a basketball on sale for $15, which
was 1/5 off the original price. What decimal represents
the discount she received?
F
0.05
G
0.15
H
0.20
J
0.50
Correct Answer - H
Spring 2003 #20
The formula F = C + 32 can be used to convert a
temperature from degrees Celsius to degrees
Fahrenheit. Which of the following best
represents ?
F
9.5
G
1.8
H
0.55
J
0.18
Correct Answer - G
April 2004 #28
Fabian has organized 3/5 of his baseball card
collection. Which decimal represents the fraction
of Fabian’s collection he has organized?
F
0.4
G
0.6
H
0.35
J
0.12
Correct Answer - G
April 2006 #34
(6.1) Number, operation, and
quantitative reasoning. The student
represents and uses rational numbers in
a variety of equivalent forms. The
student is expected to
(C) use integers to represent real-life
situations;
The low temperature on Saturday was 10 degrees below
zero Celsius. On Sunday the low temperature was 30
degrees above zero Celsius. What integer represents the
low temperature on Saturday in degrees Celsius?
F
20
G
10
H
-10
J
-20
Correct Answer - H
Spring 2003 #36
Acorn woodpeckers live in families. The family members collect
acorns and store them in the trunks of trees. The table below
shows information about the number of acorns collected and
eaten by a family of
woodpeckers on 3 days.
Which expression best
describes the information in
the table if the family had
stored 428 acorns before
Monday?
F
428 – 23 + 8 – 29 + 10 – 42 + 9
G
428 + 23 – 8 + 29 – 10 + 42 – 9
H
23 – 8 + 29 – 10 + 42 – 9 – 428
J
23 + 8 – 29 + 10 – 42 + 9 + 428
Correct Answer - G
April 2006 #14
(6.1) Number, operation, and
quantitative reasoning. The student
represents and uses rational numbers in
a variety of equivalent forms. The
student is expected to
(D) write prime factorizations using
exponents;
Find the prime factorization of 60.
F
32 ∙ 10
G
2 ∙ 3 ∙ 10
H
2 ∙ 2 ∙ 15
J
22 ∙ 3 ∙ 5
Correct Answer - J
Spring 2003 #14
Which is the prime factorization of 315?
A
33 ∙ 5
B
33 ∙ 7
C
32 ∙ 5 ∙ 7
D
3 ∙ 52 ∙ 7
Correct Answer - C
April 2004 #39
What is the prime factorization of 220?
A
2 ∙ 5 ∙ 11
B
22 ∙ 5 ∙ 5
C
22 ∙ 5 ∙ 11
D
2 ∙ 55
Correct Answer - C
April 2006 #3
Which Expression shows the prime factorization
of 312?
A
22 ∙ 3 ∙ 13
B
2 ∙ 132
C
2 ∙ 3 ∙ 13
D
22 ∙ 32 ∙ 13
Correct Answer - A
2008 Released Item
(6.1) Number, operation, and
quantitative reasoning. The student
represents and uses rational numbers in
a variety of equivalent forms. The
student is expected to
(E) identify factors of a positive
integer, common factors, and the
greatest common factor of a set of
positive integers;
At a spring band concert, a prize was awarded to the
person sitting in the chair numbered with the least
common multiple of 12, 15, and 30. Find the number
of the prizewinning chair.
F
60
G
45
H
30
J
15
Correct Answer - F
Spring 2003 #38
Find the greatest common factor of 12, 24, and 36.
A
6
B
12
C
18
D
24
Correct Answer - B
April 2004 #17
Which of the following is the least common
multiple that Valerie can use to add three
fractions with denominators of 6, 8, and 9?
A
48
B
54
C
72
D
144
Correct Answer - C
April 2004 #29
Mrs. Sandoval has 60 folders, 45 pairs of scissors,
and 30 rulers. What is the greatest common
factor Mrs. Sandoval can use to divide the school
supplies into equal groups?
A
3
B
5
C
10
D
15
Correct Answer - D
April 2006 #15
(6.1) Number, operation, and
quantitative reasoning. The student
represents and uses rational numbers in
a variety of equivalent forms. The
student is expected to
(F) identify multiples of a positive
integer and common multiples and the
least common multiple of a set of
positive integers.
What is the least common multiple of 18 and 30?
A
540
B
90
C
12
D
6
Correct Answer - B
2008 Released Item
(6.2) Number, operation, and
quantitative reasoning. The student
adds, subtracts, multiplies, and divides
to solve problems and justify solutions.
The student is expected to
(A) model addition and subtraction
situations involving fractions with
[objects,] pictures, words, and numbers;
Mara plans to buy fabric for two sewing projects. One
project requires ⅛ yard of fabric, and the other requires ¾
yard of fabric. Each strip below represents 1 yard of
fabric. Which strip is shaded to show the total amount of
fabric that Mara needs for her projects?
Correct Answer - H
Spring 2003 #12
Frank and Joe each bought a small pizza and ate
only part of their pizza. The pictures below show
how much of the pizzas were left. What portion
of the pizza did Frank and Joe eat altogether?
Correct Answer - D
April 2004 #11
To get ready for a race, Louise ran 1⅔ miles on
Monday, 2¼ miles on Tuesday, and 2 5/6 miles on
Wednesday. Which procedure can Louise use to find
the total number of miles she ran on these 3 days?
A
B
C
D
Find the product of the sum of the whole numbers and
the sum of the fractions
Subtract the sum of the fractions from the sum of the
whole numbers
Find the quotient of the sum of the whole numbers and
the sum of the fractions
Add the sum of the whole numbers to the sum of the
fractions
Correct Answer - D
April 2006 #29
Mrs. Gabriel owns a total of 60 acres. Her western
pasture has an area of 4¾ acres. Her eastern pasture
has an area of 10½ acres. Which expression could be
used to find how much larger the eastern pasture is
than the western pasture?
Correct Answer - C
2008 Released Item
(6.2) Number, operation, and
quantitative reasoning. The student
adds, subtracts, multiplies, and divides
to solve problems and justify solutions.
The student is expected to
(B) use addition and subtraction to
solve problems involving fractions and
decimals;
Harold made a drawing of his rectangular kitchen for
art class. The length of the drawing was 8.6 inches,
and the width of the drawing was 2.5 inches less than
the length. Find the width of the drawing.
F
6.1 in.
G
8.6 in.
H
11.1 in.
J
21.5 in.
Correct Answer - F
Spring 2003 #42
The Springer family took a trip for the holidays.
When they left home, the odometer in their car
read 5,364.6 miles. When they returned from
their trip, the odometer read 7,347.0 miles. How
many miles did the Springers travel?
Record your answer and fill in the bubbles on your
answer document. Be sure to use the correct place value.
April 2004 #21
Correct Answer – 1982.4
John is going to make three kinds of cookies. He
will need 2⅓ cups flour for the first kind, 2¼ cups
flour for the second kind, and 3⅓ cups flour for
the third kind. How much flour does John need
for all three kinds of cookies?
Correct Answer - B
April 2004 #45
Sandra added $0.60 to the $25.00 she had saved.
She then bought a CD that cost $13.79, including
tax. Exactly how much money in dollars and cents
should Sandra have left after paying for the CD?
Record your answer and fill in the bubbles on your
answer document. Be sure to use the correct place value.
Correct Answer – 11.81
April 2006 #21
Hilda has $300 a month to spend for business
travel. So far this month she has spent $245.67 on
gasoline. How much money in dollars and cents
does Hilda have left to spend on business travel?
Record your answer and fill in the bubbles on your
answer document. Be sure to use the correct place value.
Correct Answer – 54.33
2008 Released Item
(6.2) Number, operation, and
quantitative reasoning. The student
adds, subtracts, multiplies, and divides
to solve problems and justify solutions.
The student is expected to
(C) use multiplication and division of
whole numbers to solve problems
including situations involving
equivalent ratios and rates;
Linda bought 2 blouses for a total of $52 and 3 equally
priced dresses. She spent a total of $148, not including
tax. Find the price of each dress.
F
$26
G
$32
H
$52
J
$55
Correct Answer - G
Spring 2003 #32
During basketball season Wanda made 2 out of
every 3 free throws she attempted. In the last
basketball game, Wanda attempted 12 free
throws. How many free throws would she have
been expected to make?
A
2
B
8
C
24
D
36
Correct Answer - B
April 2004 #15
At a community center there are a total of 11
tables in the dining room. Six of the tables seat 4
people each. Five of the tables seat 8 people each.
What is the maximum number of people who can
sit at the tables in the dining room?
F
40
G
12
H
22
J
64
Correct Answer - J
April 2006 #4
The ratio of women to men in a local book club is
7 to 3. Which combination of women and men
could the club have?
A
21 women and 9 men
B
35 women and 50 men
C
14 women and 9 men
D
21 women and 15 men
Correct Answer - A
April 2006 #11
(6.2) Number, operation, and
quantitative reasoning. The student
adds, subtracts, multiplies, and divides
to solve problems and justify solutions.
The student is expected to
(D) estimate and round to approximate
reasonable results and to solve
problems where exact answers are not
required;
For a science project Ruth is keeping track of the calories her
father eats at breakfast. The table shows the number of
calories he ate at breakfast on Monday. Which is closest to the
number of calories Ruth’s father ate at breakfast on Monday?
F
200 cal
G
300 cal
H
400 cal
J
500 cal
Correct Answer - H
Spring 2003 #44
Several middle school bands boarded buses after a
marching competition. If there were 21 buses and
about 47 band members on each bus, about how
many band members were on the buses in all?
A
70
B
900
C
1,000
D
1,250
Correct Answer - C
April 2004 #5
Mr. Cartwright bought 18 computer books for his
bookstore. If he paid $24.95 for each book, about
how much did Mr. Cartwright pay for the books?
A
$40
B
$600
C
$500
D
$300
Correct Answer - C
April 2006 #17
(6.2) Number, operation, and
quantitative reasoning. The student
adds, subtracts, multiplies, and divides
to solve problems and justify solutions.
The student is expected to
(E) use order of operations to simplify
whole number expressions (without
exponents) in problem solving
situations.
Objective 2:
The student will demonstrate an
understanding of patterns,
relationships, and
algebraic reasoning.
(6.3) Patterns, relationships, and
algebraic thinking. The student solves
problems involving direct proportional
relationships. The student is expected
to
(A) use ratios to describe proportional
situations;
There were 14 boats and 42 people registered for
a boat race. Which ratio accurately compares the
number of people to the number of boats?
F
2:6
G
3:1
H
7:21
J
14:42
Correct Answer - G
Spring 2003 #24
If the ratio of boys to girls in the sixth-grade chorus is
2 to 3, which of these shows possible numbers of the
boys and girls in the chorus?
A
20 boys, 35 girls
B
24 boys, 36 girls
C
35 boys, 20 girls
D
36 boys, 24 girls
Correct Answer - B
Spring 2003 #35
An animal shelter currently has 20 cats and 25
dogs. What is the ratio of cats to dogs?
F
5 to 4
G
4 to 9
H
4 to 5
J
1 to 5
Correct Answer - H
April 2004 #26
A recipe for pancakes requires 3 eggs and makes
12 pancakes. What is the ratio of eggs to
pancakes?
A
12:3
B
1:4
C
3:1
D
1:3
Correct Answer - B
April 2006 #7
An artist buys 36 tubes of oil paint, 6
paintbrushes, 3 canvases, and 2 jars of paint
thinner. What is the ratio of paintbrushes to
tubes of oil paint?
A
12:1
B
1:18
C
2:1
D
1:6
Correct Answer - D
2008 Released Item
(6.3) Patterns, relationships, and
algebraic thinking. The student solves
problems involving direct
proportional relationships. The student
is expected to
(B) represent ratios and percents with
[concrete] models, fractions, and
decimals;
By 2:30 P.M. on Monday, 25% of the classes at
Valley Middle School had finished taking
yearbook pictures. What fractional part of the
classes had NOT yet taken yearbook pictures?
Correct Answer - J
Spring 2003 #18
Each square below is divided into sections of
equal size. Which square has 62.5% of its total
area shaded?
Correct Answer - J
April 2004 #14
Franklin’s Vending Service received a shipment
of soda for its machines. The manager
determined that 15% of the cans were damaged.
What fraction of the cans were damaged?
Correct Answer - G
April 2004 #42
Use the ruler on the Mathematics Chart to
measure the lengths of the line segments below to
the nearest centimeter. Which best represents the
ratio of UV to XY?
0
1
F
7:15
G
3:7
H
3:8
J
1:2
2
3
4
5
Correct Answer - G
6
7
8
April 2006 #16
Paul made 11 of the 20 shots he took at hockey
practice yesterday. What percent of his shots did
he make?
F
20%
G
11%
H
45%
J
55%
Correct Answer - J
April 2006 #18
Clarissa baked 56% of her cookie dough. Exactly
what fraction of the cookie dough did she bake?
A
5/6
B
14/25
C
2/3
D
1/2
Correct Answer - B
2008 Released Item
(6.3) Patterns, relationships, and
algebraic thinking. The student solves
problems involving direct
proportional relationships. The student
is expected to
(C) use ratios to make predictions in
proportional situations.
The ratio of red rosebushes to yellow rosebushes
in the school garden is about 3 to 4. If there were
36 yellow rosebushes, about how many red
rosebushes would there be?
F
36
G
32
H
27
J
12
Correct Answer - H
Spring 2003 #10
Corinne’s group was responsible for painting
windows on the set of a school play. The group
painted 18 windows in 90 minutes. If they
continued painting at this rate, how many
windows would they paint in 3 hours?
A
24
B
36
C
54
D
72
Correct Answer - B
Spring 2003 #15
Josie’s horse eats about 2 bales of hay every 5
days. About how many bales of hay does Josie’s
horse eat in 31 days?
A
8
B
12
C
16
D
78
Correct Answer - B
April 2004 #9
Manuel’s heart beats 9 times per 10 seconds while
Manuel is resting. About how many times would
Manuel’s heart beat during 3 minutes of rest?
A
27
B
162
C
270
D
200
Correct Answer - B
April 2004 #37
Palmer participated in sports for 8 hours and
drama for 5 hours during a period of 2 weeks. If
Palmer continues participating in these activities
at this rate, how many hours will he spend
participating in them during 52 weeks?
F
13 hours
G
338 hours
H
8 hours
J
208 hours
Correct Answer - G
April 2006 #26
A survey at Wheeler Middle School indicated that
4 out of 32 students have a stamp collection. If
560 students attend Wheeler Middle School,
about how many students can be expected to have
a stamp collection?
A
28
B
36
C
70
D
140
Correct Answer - C
2008 Released Item
(6.4) Patterns, relationships, and algebraic
thinking. The student uses letters as variables
in mathematical expressions to describe how
one quantity changes when a related quantity
changes. The student is expected to
(A) use tables and symbols to represent and
describe proportional and other relationships
such as those involving conversions,
arithmetic sequences (with a constant rate of
change), perimeter and area;
The table shows Andre’s age and Maria’s age over 4
consecutive years. Which expression best represents
Maria’s age in terms of Andre’s age?
F
x+4
G
2x
H
y+4
J
2y
Correct Answer - F
Spring 2003 #28
At Sandra’s school there is 1 teacher for every 15
students. There are 630 students at the school.
Which proportion can be used to find x, the
number of teachers?
Correct Answer - H
April 2004 #2
Rafael pays $550 in rent each month. Which table best
represents the relationship between m, the number of
months, and r, the amount he pays in rent for that
length of time?
Correct Answer - A
April 2006 #25
Which equation best represents the relationship
between x and y in the table below?
A
y = 7x
B
y = 3x + 4
C
y = 2x + 5
D
y=x+6
Correct Answer - C
April 2006 #27
(6.4) Patterns, relationships, and
algebraic thinking. The student uses
letters as variables in mathematical
expressions to describe how one quantity
changes when a related quantity changes.
The student is expected to
(B) use tables of data to generate formulas
representing relationships involving
perimeter, area, volume of a rectangular
prism, etc.
A certain regular polygon is made of congruent equilateral
triangles. The table shows the relationship between the area of
the triangle and the area of the polygon it is part of. Which
expression can be used to find the area of a similar polygon
made of triangles with an area of n square units each?
A
1n
B
6n
C
n+6
D
n + 36
Correct Answer - B
Spring 2003 #37
The table shows the areas of a triangle where the
height of the triangle stays the same but the base
changes. Which expression can be used to find the
area of a triangle that has a height of 6 units and a
base of n units?
Correct Answer - C
April 2004 #25
What is the rule to find the value of a term in the
sequence below?
F
n+3
G
3n – 2
H
3n
J
n–2
Correct Answer - G
April 2004 #34
Alex found the perimeter of a square to be 12
inches. Which of the following could be used to
find l, the length of one edge of the square?
A
l = 4 ∙ 12
B
l = 12 ÷ 4
C
l = 4 + 12
D
l = 12 – 4
Correct Answer - B
April 2006 #31
(6.5) Patterns, relationships, and
algebraic thinking. The student uses
letters to represent an unknown in an
equation. The student is expected to
(A) formulate an equation from
problem situations described by linear
relationships.
David bought 2 shirts that were originally priced at
$26.50 each. Each shirt was on sale for $3.98 off the
original price when David bought them. Which equation
can be used to find t, the total sale price of the 2 shirts?
A
t = 26.50 – 3.98
B
t = 2(26.50) – 3.98
C
t = 2(3.98) – 2(26.50)
D
t = 2(26.50) – 2(3.98)
Correct Answer - D
Spring 2003 #29
Mr. Chávez distributed 78 sheets of drawing paper to
the art students in his class. Each student received 3
sheets of drawing paper. Which equation can be used
to find s, the number of students in the class?
A
s = 78 ÷ 3
B
s = 75 – 3
C
s = 78 × 3
D
s = 78 + 3
Correct Answer - A
Spring 2003 #45
If the cost of renting a canoe is a basic fee of $5 plus
an additional $2.50 for each hour that the canoe is
rented, which equation can be used to find c, the
cost in dollars of the rental for h hours?
A
c = 2.5h + 5
B
c = 5h + 2.5
C
c = 2.5(h + 5)
D
c = 5(h + 2.5)
Correct Answer - A
April 2004 #19
Mr. Duran handed out 32 sheets of graph paper
equally among 8 groups of students. Which
equation can be used to find s, the number of
sheets of paper each group received?
F
s = 32 ÷ 8
G
s = 32 – 8
H
s = 32 ∙ 8
J
s = 32 + 8
Correct Answer - F
April 2006 #2
Zack attended a basketball camp for two weeks.
His parents paid $50.00, which was ⅓ the cost of
attending the camp. Zack had saved money to pay
the rest of the cost. Which equation can be used to
find c, the entire cost of attending the camp?
Correct Answer - G
April 2006 #36
The table shows the relationship between the number of
necklaces made and the number of yellow beads used to
make each necklace. Which equation could be used to find
y, the number of yellow beads used, in terms of n, the
number of necklaces made?
A
y = 8n
B
y=n÷8
C
y = 2n
D
y = n + 14
Correct Answer - A
2008 Released Item
Objective 3:
The student will demonstrate an
understanding of geometry and
spatial reasoning.
(6.6) Geometry and spatial
reasoning. The student uses geometric
vocabulary to describe angles,
polygons, and circles. The student is
expected to
(A) use angle measurements to classify
angles as acute, obtuse, or right;
What kind of angle is N?
F
Acute
G
Right
H
Obtuse
J
Straight
Correct Answer - F
Spring 2003 #4
In which of the pictures does P
appear to be an obtuse angle?
Correct Answer - D
Spring 2003 #5
The angle at each vertex of a regular octagon is
135°. What type of angle is at each vertex of a
regular octagon?
F
Obtuse
G
Right
H
Straight
J
Acute
Correct Answer - F
April 2004 #44
The table below shows different types of volcanoes and the
angles formed by their slopes. Based on the data in the table,
which of the following statements is true about these volcanoes?
A
All the volcanoes have obtuse angles of slope.
B
All the volcanoes have acute angles of slope.
C
The cinder cone has an obtuse angle of slope, and the
composite cone and shield have acute angles of slope.
D
The cinder cone has an acute angle of slope, and the
composite cone and shield have obtuse angles of slope.
Correct Answer - B
April 2006 #41
Look at the figure shown below. Which of the
following angles in the figure is obtuse?
F
angle NMR
G
angle MRQ
H
angle PQR
J
angle MNP
Correct Answer - G
April 2006 #44
The figure shown below has two angles, one that
measures 140° and another that measures 40°.
What type of angle is the angle that measures 140°?
A
Acute
B
Obtuse
C
Right
D
Not here
Correct Answer - B
2008 Released Item
(6.6) Geometry and spatial
reasoning. The student uses geometric
vocabulary to describe angles,
polygons, and circles. The student is
expected to
(B) identify relationships involving
angles in triangles and quadrilaterals;
The drawing below shows the shape of a plot of land.
Find the measure of Z.
F
40°
G
50°
H
99°
J
180°
Correct Answer - G
Spring 2003 #30
Triangle XYZ is an isosceles triangle. If the measure
of Z is 32°, what is the measure of Y?
F
32°
G
74°
H
148°
J
164°
Correct Answer - G
Spring 2003 #40
A triangle has angles measuring 45° and 55°.
What is the measure of the triangle’s third angle?
F
80°
G
100°
H
125°
J
135°
Correct Answer - F
April 2004 #12
Mr. Sosa has a ranch in the shape of a trapezoid. The
sides of the ranch form angles measuring 60°, 80°, and
120°. What is the measure of the fourth angle?
F
80°
G
100°
H
240°
J
260°
Correct Answer - G
April 2004 #40
∆RST shown below is an isosceles triangle. If the
measure of R is 40°, what is the measure of S?
A
320°
B
140°
C
70°
D
40°
Correct Answer - C
April 2006 #9
Look at the parallelogram shown below. Which
of the following could be the measures of the
angles of the parallelogram?
F
120°, 60°, 120°, 120°
G
80°, 100°, 80°, 100°
H
90°, 90°, 120°, 60°
J
100°, 90°, 80°, 90°
Correct Answer - G
April 2006 #38
David’s front yard is in the shape of a
quadrilateral. The measures of 3 of its angles are
80°, 95°, and 133°. What is the measure of the
fourth angle?
A
308°
B
270°
C
52°
D
38°
Correct Answer - C
2008 Released Item
(6.6) Geometry and spatial
reasoning. The student uses geometric
vocabulary to describe angles,
polygons, and circles. The student is
expected to
(C) describe the relationship between
radius, diameter, and circumference of
a circle.
The drawing shows 2 circles that share a common
center point. Which expression can be used to find the
approximate circumference of the outer circle in
centimeters?
A
π(3 + 8)
B
½(3 + 8)
C
2π(3 + 8)
D
2(3 + 8)
Correct Answer - C
Spring 2003 #27
A circle with center at point O is shown below. Which
line segment is 2 times the length of radius OK?
F
Segment LN
G
Segment LM
H
Segment LK
J
Segment ON
Correct Answer - G
April 2004 #10
Trevor knows the circumference of his bicycle tire, but
he needs to find the diameter. Which method can
Trevor use to find the diameter?
A
B
C
D
Multiply the circumference by 2 and divide the
result by π
Divide the circumference by 2 and multiply the
result by π
Multiply the circumference by π
Divide the circumference by π
April 2004 #23
Correct Answer - D
Rosa sliced an orange into circular pieces to put
into a bowl of punch. The piece shown below had
a radius of 4 centimeters. Which expression can
be used to find the approximate circumference of
this piece of orange?
A
2(4)
B
π(4)
C
2(π)(8)
D
2(π)(4)
Correct Answer - D
April 2006 #13
The drawing below shows a single-engine airplane
propeller.
Which method can be used to find the radius of the circle
formed by the spinning propeller?
A
Multiply 7 feet by 2
B
Multiply 7 feet by π
C
Divide 7 feet by π
D
Divide 7 feet by 2
Correct Answer - D
2008 Released Item
(6.7) Geometry and spatial
reasoning. The student uses
coordinate geometry to identify
location in two dimensions. The
student is expected to
(A) locate and name points on a
coordinate plane using ordered pairs of
non-negative rational numbers;
Which point best represents the location of the ordered
pair (1¾, 2)?
A
Point P
B
Point Q
C
Point R
D
Point S
Correct Answer - A
Spring 2003 #39
Valerie listed the coordinates of 5 of the vertices of the
hexagon below.
(1, 2), (1, 4), (2, 1), (4, 1), (5, 5)
Which of these shows the coordinates of the vertex that
Valerie did not list?
A
(1, 3)
B
(3, 1)
C
(3, 6)
D
(6, 3)
Correct Answer - C
Spring 2003 #43
Which ordered pair represents a point located
inside both the triangle and the circle?
A
(8, 4)
B
(8, 10)
C
(14, 8)
D
(15, 9)
Correct Answer - C
April 2004 #1
What point on the grid below corresponds to
the coordinate pair (5½, 8)?
A
Point W
B
Point X
C
Point Y
D
Point Z
Correct Answer - A
April 2004 #41
The coordinate grid shows point L, the position of the rover Spirit
when it landed on Mars, and the path it followed to point M.
Point M shows the position of the rover after it traveled 100
meters. Which of the following best shows the position of the
rover when it was halfway between point L and point M?
A
(2, 4)
B
(4, 8)
C
(4, 2)
D
(8, 4)
Correct Answer - C
April 2006 #35
A window is shown on the grid below. Which ordered
pairs best represent the 4 vertices of the window?
A
(4, 2), (2, 2), (5, 2), (4, 5)
B
(2, 2), (2, 4), (5, 2), (5, 4)
C
(2, 2), (4, 2), (4, 5), (2, 5)
D
(4, 2), (5, 4), (5, 2), (2, 2)
Correct Answer - C
April 2006 #39
What are the coordinates of point W in ΔUVW?
A
(0.8, 0.9)
B
(0.6, 0.4)
C
(1.2, 0.6)
D
(0.4, 0.6)
Correct Answer - B
2008 Released Item
Objective 4:
The student will demonstrate an
understanding of the concepts and uses
of measurement.
(6.8) Measurement. The student
solves application problems involving
estimation and measurement of length,
area, time, temperature, volume,
weight, and angles. The student is
expected to
(A) estimate measurements (including
circumference) and evaluate
reasonableness of results;
On Tuesday night Lucas spent 18 minutes on social studies
homework, 29 minutes on language arts homework, and 59
minutes on mathematics homework. About how much
time in all did Lucas spend on his homework?
F
1 hour 50 minutes
G
1 hour 10 minutes
H
1.5 hours
J
1.10 hours
Correct Answer - F
Spring 2003 #34
Gerald got out of bed at 7:05 A.M. and returned
home from school at 2:50 P.M. About how many
hours elapsed between the time he got out of bed
and the time he returned home from school?
F
4h
G
5h
H
7h
J
8h
Correct Answer - J
April 2004 #30
The temperature was 47°F at 10 A.M. and 68°F at 3
P.M. The temperature decreased by about 4°F per
hour after 3 P.M. About how much warmer was the
temperature at 5 P.M. than it was at 10 A.M.?
F
0°F
G
10°F
H
20°F
J
30°F
Correct Answer - G
April 2006 #24
The total length of all the songs on a CD Mohammed
bought is about 80 minutes. Each song is between 4
and 6 minutes long. Which is a reasonable number
of songs that could be on the CD?
A
10
B
40
C
74
D
16
Correct Answer - D
April 2006 #37
Tiffany’s bracelet is shown below. Use the ruler on
the Mathematics Chart to measure the radius of the
inner circle of the bracelet to the nearest centimeter.
Which is the closest to the circumference of the inner
circle of the bracelet?
A
24 cm
B
48 cm
C
12 cm
D
8 cm
1
Correct Answer - A
2
3
4
5
2008 Released Item
(6.8) Measurement. The student solves
application problems involving estimation
and measurement of length, area, time,
temperature, capacity, weight, and angles.
The student is expected to
(B) select and use appropriate units, tools,
or formulas to measure and to solve
problems involving length (including
perimeter), area, time, temperature,
volume, and weight;
Lauren cut a triangle out of construction paper
for a geometry project. Find the perimeter of the
triangle in centimeters.
Record your answer and fill in the bubbles on your
answer document. Be sure to use the correct place value.
Correct Answer - 91
Spring 2003 #21
Francesca used a square piece of poster board to
show the main points of her history presentation.
The length of each side of the poster board was 24
inches. Find the area of the poster board.
A
48 in.2
B
96 in.2
C
400 in.2
D
576 in.2
Correct Answer - D
Spring 2003 #23
A family put a rectangular patio in their
backyard and planted grass in the rest of the
yard. The rectangular backyard is 100 feet by 80
feet, and the patio is 13 feet by 8 feet. What is the
area of the backyard that is planted with grass?
F
402 sq ft
G
7,896 sq ft
H
8,000 sq ft
J
8,104 sq ft
Correct Answer - G
April 2004 #16
Mrs. Gold designed a piece of art by outlining
equilateral triangles with wire. How much wire
did Mrs. Gold use to complete her piece of art?
F
9m
G
33 m
H
90 m
J
57 m
Correct Answer - J
April 2004 #32
Nicole was on the decorating committee for a
school dance. She made 5 different circular
designs for the decorations. The committee
agreed to use a design with a diameter of 19
inches. Which is closest to the circumference in
inches of the design the committee chose?
F
13 in.
G
60 in.
H
95 in.
J
300 in.
Correct Answer - G
April 2006 #28
Omar is getting a new rectangular rug for his
room. His old rectangular rug is 5 feet wide and 7
feet long. If Omar’s new rug is 1 foot longer and
1 foot wider than his old rug, what is the area of
his new rug?
A
35 ft2
B
40 ft2
C
42 ft2
D
48 ft2
Correct Answer - D
2008 Released Item
(6.8) Measurement. The student
solves application problems involving
estimation and measurement of length,
area, time, temperature, capacity,
weight, and angles. The student is
expected to
(C) measure angles;
A parallelogram is shown. Find the measurement of
∠S to the nearest degree.
A
136°
B
124°
C
64°
D
56°
Correct Answer - B
Spring 2003 #19
Lynn’s garden is shaped like an isosceles trapezoid.
Find the measure of ∠T to the nearest degree.
A
65°
B
75°
C
115°
D
125°
Correct Answer - C
April 2004 #7
Triangle VUW is shown below. What is the
measure of ∠ VUW to the nearest degree?
F
57°
G
63°
H
123°
J
137°
Correct Answer - H
April 2006 #30
What is the measure, to the nearest degree, of
∠SXT?
A
41°
B
139°
C
94°
D
180°
Correct Answer - B
2008 Released Item
(6.8) Measurement. The student solves
application problems involving estimation
and measurement of length, area, time,
temperature, capacity, weight, and angles.
The student is expected to
(D) convert measures within the same
measurement system (customary and
metric) based on relationships between
units.
Anna’s brother is 117 centimeters tall. How is 117
centimeters expressed in meters?
A
0.117 m
B
1.17 m
C
11.7 m
D
117 m
Correct Answer - B
Spring 2003 #9
Pedro bought a 2-liter bottle of soda. What is the
volume of the bottle in milliliters?
F
20,000 mL
G
2,000 mL
H
200 mL
J
20 mL
Correct Answer - G
April 2004 #46
Ted collected 22 pounds of aluminum cans. How
many ounces of aluminum cans did he collect?
A
6 oz
B
38 oz
C
352 oz
D
220 oz
Correct Answer - C
April 2006 #43
Objective 5:
The student will demonstrate an
understanding of probability and
statistics.
(6.9) Probability and statistics. The
student uses experimental and
theoretical probability to make
predictions. The student is expected to
(A) construct sample spaces using lists
and tree diagrams;
Charlie had 1 red marble, 1 blue marble, 1 yellow marble,
and 1 green marble in a bag. He picked 2 marbles at
random from the bag. Which diagram shows all the possible
color combinations of the 2 marbles that Charlie picked?
Correct Answer - H
Spring 2003 #22
Bob’s Lunch Café offers 3 kinds of sandwich
fillings and 3 kinds of bread. Which table shows
all the possible
sandwich
combinations at
Bob’s Lunch Café?
Correct Answer - B
April 2004 #43
A customer at Steven’s Sub Stop can choose from white, wheat,
and rye bread. The customer can also choose from American
and Swiss cheese. Which diagram shows all the possible
combinations of 1 type of bread and 1 type of cheese?
Correct
Answer
H
April 2006 #6
(6.9) Probability and statistics. The
student uses experimental and
theoretical probability to make
predictions. The student is expected to
(B) find the probabilities of a simple
event and its complement and describe
the relationship between the two.
Scott has 5 green marbles, 8 red marbles, 2 purple
marbles, and 6 blue marbles in a container. If he
draws a marble at random from the container, what is
the probability that he will NOT draw a blue marble?
Correct Answer - C
Spring 2003 #25
Nate has a bag containing 3 red, 2 blue, 4 yellow,
and 3 green marbles. If he randomly chooses one
marble from the bag, what is the probability that
the marble will be blue?
Correct Answer - D
April 2004 #35
Jocelyn made a spinner with equal sections, as
shown below. If Jocelyn spins only one time, what
is the probability that the arrow will NOT land on
a red section of the spinner?
Correct Answer - B
April 2006 #23
For a game Larry must spin the spinner shown
below. What is the probability that the spinner
will land on an even number greater than 4?
Correct Answer - C
2008 Released Item
(6.10) Probability and statistics. The
student uses statistical representations to
analyze data. The student is expected to
(A) select and use an appropriate
representation for presenting and
displaying different graphical
representations of the same data
including line plot, line graph, bar
graph[, and stem and leaf plot];
Cynthia surveyed the students at her school about their favorite
month during the school year. The table shows the results of the
survey. Which graph correctly displays the data in the table?
Correct Answer - B
Spring 2003 #1
The table shows the gross income of 5 of the highestgrossing U.S. movies from 1982 to 1996. Which graph
most accurately displays the information in the table?
Correct Answer - J
April 2004 #4
(6.10) Probability and statistics. The
student uses statistical representations
to analyze data. The student is
expected to
(B) identify mean (using [concrete
objects and] pictorial models), median,
mode, and range of a set of data;
Mr. Franks recorded these mathematics test scores of
his sixth-grade students.
67, 69, 71, 73, 74, 75, 79, 81, 81, 82, 83, 87, 88, 88, 88,
88, 90, 91, 93, 95, 99, 100
What is the median of these test scores?
F
83
G
85
H
87
J
88
Correct Answer - G
Spring 2003 #26
The Q&R Band performed concerts from 1992 to
2001. The table shows the number of concerts the
band performed each year. What is the median of
the number of concerts?
A
162
B
170
C
180
D
172
Correct Answer - B
April 2004 #13
There are 6 children in Todd’s family, including
Todd. Their ages in years are listed below.
1, 2, 2, 8, 9, 14
What is the median of the children’s ages?
F
6
G
5
H
2
J
13
Correct Answer - G
April 2006 #10
Beth and her friends played a board game. Beth
scored 27, 33, 18, 32, 35, 27, 31, 32, 28, and 27 points
in ten games. What is the mode of Beth’s scores?
A
35
B
32
C
29
D
27
Correct Answer - D
2008 Released Item
(6.10) Probability and statistics. The
student uses statistical representations
to analyze data. The student is
expected to
(C) sketch circle graphs to display data;
Of the 100 people An Li surveyed about their favorite sport, 45
said football, 30 said wrestling, 20 said baseball, and 5 said
basketball. Which circle graph best displays the data?
Correct Answer - J
Spring 2003 #46
At Central City Music Store, 15% of the music sold
is classical,
20% is blues,
25% is rock, and
40% is country.
Which graph best
represents
these data?
Correct Answer - H
April 2004 #22
Angela receives a $20.00 allowance each week. She spends $4.00
on art supplies, $6.00 on movies, and $7.50 on school lunches, and
she puts $2.50 into savings. Which graph best represents Angela’s
allowance?
Correct
Answer
C
April 2006 #1
(6.10) Probability and statistics. The
student uses statistical representations
to analyze data. The student is
expected to
(D) solve problems by collecting,
organizing, displaying, and interpreting
data.
The line plot shows the
homework grades of the students
in Mrs. Smith’s class. Which
information is supported by the
information in the line plot?
F
The same number of students received a B as received a D.
G
Eighteen students received a C or higher.
H
The same number of students received a D or an F as
received an A or a B.
J
Sixteen students received a C or lower.
Correct Answer - G
Spring 2003 #6
Apollo Middle School
collected the following
data from students.
Which statement is
supported by the graph?
F
G
H
J
More than 25% of the students were born in either January or March.
The second half of the year had fewer births than the first half.
May was the birth month for 30 students.
The same number of births per month occurred in February, October,
and November.
Correct Answer - G
April 2004 #20
Dee and Ella kept track of the miles they hiked over 4 days, as
shown in the graph below. Which statement is best supported by
the information in
the graph?
F Dee walked more miles each day than Ella did.
G Ella walked more miles in all than Dee did on these 4 days.
H Dee and Ella walked more than 15 miles each on these 4 days.
J
Ella walked 0.5 mile farther than Dee each day.
Correct Answer - G
April 2006 #20
Lisa surveyed 100 students out of the 600 students at Ryan
Middle School about their favorite foods.
Which statement is best
supported by the survey?
A Less than ¼ of the students surveyed like hamburgers best.
B More than ½ of the students surveyed like pizza best.
C All the students at Ryan Middle School like hamburgers, pizza,
spaghetti, and tacos.
D Some students at Ryan Middle School do not like tacos.
Correct Answer - B
2008 Released Item
Objective 6:
The student will demonstrate an
understanding of the mathematical
processes and tools used in
problem solving.
(6.11) Underlying processes and
mathematical tools. The student applies
Grade 6 mathematics to solve problems
connected to everyday experiences,
investigations in other disciplines, and
activities in and outside of school. The
student is expected to
(A) identify and apply mathematics to
everyday experiences, to activities in and
outside of school, with other disciplines,
and with other mathematical topics;
Cindy and 2 friends ordered a large pizza for $9.00,
3 large drinks for $0.99 each, and a salad for $1.50.
If they split these costs evenly, which equation can
be used to find c, the amount in dollars and cents
each person should pay, not including tax?
A
c = 9.00 + 0.99 + 1.50 ÷ 3
B
c = 9.00 + 3 × 0.99 + (1.50 ÷ 3)
C
c = (9.00 + 0.99 + 1.50) ÷ 2
D
c = (9.00 + 3 × 0.99 + 1.50) ÷ 3
Correct Answer - D
Spring 2003 #3
The weight limit for an elevator is 2,000 pounds. Which
statement is best supported by this information?
A
The elevator can carry more than 20 adults.
B
The elevator can carry more than 20 crates that weigh
100 pounds each.
C
The elevator can carry up to 8 people who each weigh
as much as 250 pounds.
D
The elevator can carry twice as many children as
adults.
Correct Answer - C
Spring 2003 #33
Mr. and Mrs. Gunther tiled their rectangular
porch using square tiles. Each box of tile
contained 30 square tiles. The rectangular porch
measured 38 feet by 22 feet. What missing piece
of information is needed in order to find the
number of boxes of tile the Gunthers needed?
F
Area of each square tile
G
Perimeter of the box
H
Perimeter of the porch
J
Area of the porch
Correct Answer - F
April 2004 #36
Irma has $10.00 to buy apples. Apples at the market
are $2.50 per bag. Which additional information is
needed to find the number of apples Irma can buy?
F
The cost of apples per pound.
G
The size of each bag of apples.
H
The weight of each apple.
J
The number of apples in each bag.
Correct Answer - J
April 2006 #8
Ms. Meléndez needs to replace the batteries in 20
calculators. Each calculator uses 4 batteries. The
batteries are sold in packages of 16. How many
packages of batteries does Ms. Meléndez need to buy?
A
64
B
4
C
80
D
5
Correct Answer - D
April 2006 #33
Lucy bought lunch for herself and her two
brothers. Lucy’s lunch cost $4.75, and her
brothers’ lunches cost $3.50 and $3.70. If tax was
already included, which of the following shows the
change she would have received from a $20.00 bill?
A
On ten-dollar bill, Three quarters, Two dimes
B
One five-dollar bill, Four one-dollar bills, One nickel
C
On five-dollar bill, Three one-dollar bills, One nickel
D
One ten-dollar bill, One nickel
Correct Answer - C
2008 Released Item
(6.11) Underlying processes and
mathematical tools. The student applies
Grade 7 mathematics to solve problems
connected to everyday experiences,
investigations in other disciplines, and
activities in and outside of school. The student
is expected to
(B) use a problem-solving model that
incorporates understanding the problem,
making a plan, carrying out the plan, and
evaluating the solution for reasonableness;
Stan must buy paper plates and plastic forks for a
picnic. Plates are sold in packages of 8 and forks in
packages of 12. What is the least number of packages
of plates and packages of forks that Stan can buy to
have an equal number of plates and forks?
A
2 packages of plates and 3 packages of forks
B
3 packages of plates and 2 packages of forks
C
4 packages of plates and 6 packages of forks
D
6 packages of plates and 4 packages of forks
Correct Answer - B
Spring 2003 #13
Antonio saved $30 to go to a carnival. He needs a certain amount of
money for bus fare and admission. Antonio wants to find the amount
of money he will have left for rides and food.
Look at the problem-solving steps shown below. Arrange the steps in
the correct order for Antonio to find the amount of money he will
have left for rides and food.
Step P: Identify the cost of bus fare and then the cost of admission.
Step Q: Find the difference between $30 and the sum of the costs of
bus fare and admission.
Step R: Find the sum of the costs of bus fare and admission.
Which list shows the steps in the correct order?
A
P, Q, R
B
Q, P, R
C
P, R, Q
D
Q, R, P
Correct Answer - C
Spring 2003 #41
Mrs. Miller is baking cookies for 16 children. She
has baked 2 dozen cookies. If she wants each
child to receive exactly 2 cookies and have no
cookies left over, how many more cookies should
she bake?
F
1.5
G
8
H
24
J
32
Correct Answer - G
April 2004 #18
Tickets for a circus performance cost $9.50 for an adult and $6.75 for a
child. Mr. Snyder and some of his friends, a group of 4 adults and 5
children, went to the circus performance. Mr. Snyder paid for all the
tickets.
Read the problem-solving steps shown below. Arrange the steps in the
correct order for Mr. Snyder to find the total cost for the tickets.
Step K: Add the two products together
Step L: Write down the number of adults and the number of children
going to the circus performance
Step M: Multiply the cost of an adult ticket by the number of adults
Step N: Multiply the cost of a child’s ticket by the number of children
Which list shows the steps in the correct order?
A
L, K, M, N
B
L, M, N, K
C
N, M, L, K
D
M, N, L, K
Correct Answer - B
April 2004 #33
Jeremy received $70 as a gift. He wanted to use the money to
go to the movies and to buy a book. He wanted to save the
money he had left. Which is the correct order of steps to find
the amount of money Jeremy would have left to save?
Step K: Find the sum of the costs of the movie and the book.
Step L: Find the difference between $70 and the sum of the
costs of the movie and the book.
Step M: Identify the cost of the movie and the cost of the
book.
A
L, K, M
B
M, K, L
C
L, M, K
D
K, L, M
Correct Answer - B
April 2006 #5
(6.11) Underlying processes and mathematical
tools. The student applies Grade 7 mathematics to
solve problems connected to everyday experiences,
investigations in other disciplines, and activities in
and outside of school. The student is expected to
(C) select or develop an appropriate problemsolving strategy from a variety of different types,
including drawing a picture, looking for a pattern,
systematic guessing and checking, acting it out,
making a table, working a simpler problem, or
working backwards to solve a problem.
When Marco’s dog got loose, it ran ⅓ mile on Pine
Street, 1½ miles on Oak Street, and 2 5/6 miles on
Hickory Street. Which procedure can Marco use to
find the total distance in miles that his dog ran?
F
Multiply the sum of the whole numbers by the sum of the
fractions, using a common denominator when necessary
G
Find the difference between the sum of the whole numbers
and the sum of the fractions, using a common denominator
when necessary
H
Add the sum of the whole numbers and the sum of the
fractions, using a common denominator when necessary
J
Divide the sum of the whole numbers by the sum of the
fractions, using a common denominator when necessary
Correct Answer - H
Spring 2003 #2
Miss Caruso’s car travels an average of 22 miles per gallon
of gasoline. The gas tank holds 12 gallons. How would
you find the number of miles Miss Caruso can drive on 1
full tank of gasoline?
F
Add the car’s average mileage in miles per gallon to
the number of gallons the tank can hold
G
Subtract the number of gallons the tank can hold from
the car’s average mileage in miles per gallon
H
Multiply the car’s average mileage in miles per gallon
by the number of gallons the tank can hold
J
Divide the car’s average mileage in miles per gallon
by the number of gallons the tank can hold
Correct Answer - H
April 2004 #6
Jade is 3 years older than Steven, and Steven is 5
years younger than Andrew, who is 15 years old.
Which table could be used to find Jade’s age?
Correct Answer - G
April 2004 #8
Felicia went shopping for clothes. She bought a pair
of jeans priced at $28.00, a sweater priced at $32.50,
and a belt priced at $18.75. If there was an 8.75%
tax on clothing items, which procedure could be used
to find the amount of tax Felicia paid?
F
G
H
J
Multiply the tax rate by the sum of the prices of the
clothing items
Add the prices of the clothing items to the tax rate
Add the prices of the clothing items
Multiply the tax rate by the price of the most
expensive clothing item
Correct Answer - F
April 2004 #24
The table below shows the number of minutes it takes
to wash different vehicles at Jay Dee’s Car Wash.
When the car-wash machine has been in use for a total
of 2 hours, Jay must add one bottle of liquid soap to
the machine. What is the number of trucks the
machine can wash with each bottle of liquid soap?
F
5
G
12
H
20
J
32
Correct Answer - G
April 2006 #12
A parent group is planning an awards dinner for
students, teachers, and parents. The parent group
plans to seat the guests around a circular table that has
seating for 30. The guests will be seated in the order of
student, teacher, parent, in a repeating pattern. Will
the 20th guest be a student, a teacher, or a parent?
A
Student
B
Teacher
C
Parent
D
Cannot be determined
Correct Answer - B
April 2006 #19
Conrad had some marbles. First he gave 3 marbles to
Jim, and then he bought 16 more marbles. Next he
sold ½ of his marbles to Terry. He now has 12
marbles. How many marbles did Conrad start with?
A
19
B
11
C
15
D
4
Correct Answer - B
2008 Released Item
(6.12) Underlying processes and
mathematical tools. The student
communicates about Grade 6 mathematics
through informal and mathematical language,
representations, and models. The student is
expected to
(A) communicate mathematical ideas using
language, efficient tools, appropriate units, and
graphical, numerical, physical, or algebraic
mathematical models.
Mr. Ortega gave his social studies students a map of Texas.
According to the map scale, 1 inch on the map represents
100 actual miles. Which strategy can Mr. Ortega’s
students use to find the actual distance in miles between
points on the map?
A
Measure the number of inches between points and
then divide by 100
B
Measure the number of inches between points and
then multiply by 100
C
Measure the number of inches between points and
then subtract 100
D
Measure the number of inches between points and
then add 100
Correct Answer - B
Spring 2003 #11
Each number in the sequence below has the same
relationship to the number immediately before it.
24, 12, 6, 3, 1½, …
How can the next number in the sequence be found?
A
By subtracting 12 from the previous number
B
By adding 1½ to the previous number
C
By multiplying the previous number by 2
D
By dividing the previous number by 2
Correct Answer - D
Spring 2003 #31
Mrs. Valcome has $25.00 to spend on seeds for her
flower garden. Marigold seeds cost $1.50 per
package, and zinnia seeds cost $1.25 per package,
tax included. If Mrs. Valcome buys 10 packages of
marigold seeds, how can she determine how much
money she has left to spend on zinnia seeds?
A
Add $1.50 and $1.25
B
Subtract the product of 10 and $1.50 from $25.00
C
Multiply $1.25 and 10
D
Divide 10 by $1.25
Correct Answer - B
April 2004 #27
If Mr. Albright drives at a constant speed of 65 miles
per hour, which method can be used to find the
number of hours it will take him to drive 260 miles?
F
Add 65 and 260
G
Subtract 65 from 260
H
Multiply 260 by 65
J
Divide 260 by 65
Correct Answer - J
April 2004 #38
Elm’s Carpeting Company sells
carpet by the square yard. A
salesperson at the company uses the
table to calculate the amount
of carpet needed to cover floor areas
of different sizes. Which statement
describes the calculation used to
determine the amount of carpet
needed for a given area of floor?
F
The area of the floor is divided by 12.
G
The area of the floor is divided by 10.
H
The area of the floor is divided by 9.
J
The area of the floor is divided by 3.
Correct Answer - H
April 2006 #22
Three friends attended a football game and
agreed to share the cost evenly. The total cost of
the tickets was $51, the taxi ride to and from the
game was $24, and snacks and drinks were $30.
Which equation can be used to find c, the amount
each friend should have paid?
F
c = (51 + 24 + 30) ∙ 3
G
c = (51 + 24 + 30) ÷ 3
H
c = 51 + 24 + 30 + 3
J
c = 51 + 24 + 30 – 3
Correct Answer - G
April 2006 #42
Mrs. Duncan earned $100.00 at work. She used
the money to buy a skirt for $35.99 and 2 pairs of
shorts for $11.99 each. If the prices include tax,
which procedure could be used to find the amount
of money she had left?
A
Add together the costs of the items and then subtract
the sum from 100
B
Subtract the number of items from 100
C
Multiply the total costs of the items by 100 and then
divide by 2
D
Add together the costs of the items and then
divide the sum by 100
2008 Released Item
Correct Answer - A
(6.13) Underlying processes and
mathematical tools. The student uses
logical reasoning to make conjectures
and verify conclusions. The student is
expected to
(A) make conjectures from patterns or
sets of examples and nonexamples;
The side lengths and perimeters of some regular
polygons are shown in the table. Which geometric
figure is represented by the information in the table?
A
Pentagon
B
Square
C
Hexagon
D
Triangle
Correct Answer - A
Spring 2003 #17
Look at the shapes below. Which statement best
describes these shapes?
A
They all appear to be regular polygons.
B
They all have an even number of sides.
C
They all have an even number of angles.
D
They all contain only right angles.
Correct Answer - A
April 2004 #3
Look at Set V and Set W shown below.
Set V = {1, 3, 5, 7, 9, 11, . . .}
Set W = {3, 6, 9, 12, 15, 18, . . .}
Which of the following numbers could belong to
both Set V and Set W?
F
35
G
25
H
21
J
31
Correct Answer - H
April 2006 #46
Look at the set of numbers below.
Set D: {6, 12, 30, 48}
Which statement about all the numbers in this set
is NOT true?
A
They are all multiples of 3.
B
They are all even numbers.
C
They are all factors of 48.
D
They are all divisible by 2.
Correct Answer - C
2008 Released Item
(6.13) Underlying processes and
mathematical tools. The student uses
logical reasoning to make conjectures
and verify conclusions. The student is
expected to
(B) validate his/her conclusions using
mathematical properties and
relationships.
Laurence was asked to find 2 integers that have a
difference of 1 and a sum of 59. He said the
integers were 29 and 28. Why was Laurence’s
answer incorrect?
F
The difference between 29 and 28 is not 1.
G
The difference between 29 and 28 is 1.
H
The sum of 29 and 28 is 59.
J
The sum of 29 and 28 is not 59.
Correct Answer - J
Spring 2003 #8
Zane is reading a history book for a project. The graph below
shows how many pages he read during a 5-day period. Which
statement is best supported by the information in the graph?
F Zane read more pages on Monday
and Wednesday than he did on
Tuesday and Thursday, because
40 + 80 > 70 + 60.
G Zane read fewer pages on Tuesday
and Wednesday than he did on
Thursday and Friday, because
70 + 80 < 60 + 90.
H Zane read more pages on Thursday and
Friday than he did on Tuesday and
Wednesday, because 60 + 90 > 70 + 80.
J Zane read fewer pages on Wednesday and Thursday than he did
on Tuesday and Friday, because 80 + 60 < 70 + 90.
Correct Answer - J
April 2006 #40