Transcript 7th Grade Math Tourn. Practice

7th Grade Math Tourn.
Practice
2004 7th Grade
Which of the following has a mean
of 20?
30, 18, 16, 20, 18, 28, 18
32, 10, 33, 43, 12, 33, 12
18, 12, 11, 10, 22, 40, 45
4, 30, 16, 35, 17, 19, 19
Stacy has $350 in her savings
account. If 24% came from her
graduation, 20% from babysitting,
19% from her birthday, and 37%
from allowance. How much money
came from babysitting?
3
What is the value of 5 ?
Margaret solved a math problem
and came up with an answer of 24.
Which of the following expressions
also has a value of 24?
2 6 8 6
22  6  3  27
15(5  3)  12
12  3 10  2
2
2
What is the value of the expression
3x  5 y
2
when x = 4 and y = 3?
Carla’s Detail Car Wash will come
to your home and clean your car.
This service charges $12 per car
plus $5 for each hour after the first
hour. Write an algebraic expression
that describes how to figure the
cost.
Ralph’s favorite number is very
special. The prime factors of this
number do not repeat and are all
odd prime numbers less than 15.
What is Ralph’s number?
At the football game, Brett carried
the ball 5 different times. He ran for
a gain of 15 yards, a loss of 5
yards, a loss of 8 yards, a gain of
20 yards, and a loss of 4 yards.
What was his total yardage?
Caroline had $567 in her checking
account. She wrote three checks
for $45, $18, and $287. What is her
current checking account balance?
Max recorded the following
morning temperatures over the
past week.
10, 8, 2,0, 9,2,5
Write the temperatures from least
to greatest.
Which is not equal to three-fourths?
0.75, 6/9, 12/16, 75/100
What is the sum of the two shaded
regions written as a decimal and
percent?
3
4
Carlos has 7 cups of sugar. After
making 5 gallons of ice tea, he now
3
only has 2 5 cups of sugar. How
much sugar did Carlos use to
sweeten the tea?
John, Carol, Sue, and Wyatt
decided to drive to the beach. It is a
1
3
7 4 hour drive. John drove 2 2
1
hours. Carole drove 1 3 hours. Sue
drove 1 87 hours. How many hours
did Wyatt drive if he drove the
remaining time?
Terry read 6 pages of his reading
book in 18 minutes. How long will it
take him to read a story that has
150 pages?
Ashley is using a recipe that calls
1
for 3 2 lb of butter. The recipe
serves 16 people, but Ashley only
needs to serve 4 people. How
much butter should she use if she
reduces the recipe?
Which two ratios are proportional?
3
5
2
3
and
9
25
1
8
and
10
15
9
12
and
3
16
and
36
60
Which of the following triangles are
similar?
On a road map, the distance
between city A and city B is 7.25
inches. What is the actual distance
if the map scale is 2.5 inches
equals 35 miles?
Which is not equivalent to
1
5
4
20
, ,20%,40%
40
200
?
Ramon spent 40% of his savings
on a new stereo system. If he had
$275.50 in his savings account,
how much did he spend on the
stereo system?
If a light reflects a mirror at a 48
degree angle, what is the
supplement of the angle?
Mariah needs to fence in her pool
yard. How many feet of fencing will
Mariah need to purchase?
The average life span of a dog is
12 years. How many hours is this?
If the height of the following cone is
reduced by one-third, what is the
difference in the volumes of the two
cones?
Four friends went to lunch. The
total bill was $48.50. The friends
wanted to add a 15% tip to the bill
and then split the bill into 4 equal
amounts. How much did each
friend have to pay? Round to the
nearest cent.
7th Grade 2002
Mrs. Wing organized a school trip
to an amusement park. There are
enough people going to fill 6 buses
that hold 45 passengers each.
Each bus will have four adult
chaperones with the students. How
many students will be going to the
park?
If b = 3 and c = 4, evaluate
3( b  c )
b
c
The wave pool at Cedar Point Park
holds 500,000 gallons of water. If it
fills at a rate of 10,000 gallons per
hour, about how long will it take to
fill the pool?
10  0.0793
6
The trail up to the top of Pike’s
Peak is about 23 miles long. The
Kalman family drove about three
quarters of the way. About how
many more miles must they drive to
reach the top?
A beaker contains 625 milliliters of
water. A chemist pours 0.25 liter of
the water into a solution. How
many milliliters are left in the
beaker?
Find the LCM of 17, 27, and 37.
Write a percent to represent the
shaded area.
a = (-9)3
Use the graph to describe the
movement from
XYZ to X 'Y ' Z '
4n  22  3.6
-35 = -6b +1
5.3 – 6m = -1.3
3 2
5
9
6
7
2 3
1
4
3
5
If each side of an eight sided stop
13
sign measures about 12 16
inches,
what is its perimeter to the nearest
foot?
Find the circumference of a circle
5
whose diameter is 9 yard. Round
to the nearest tenth.
What is the density per square foot
of 2,112 cats in 96 square feet?
On a scale drawing, the scale is
1
4
inch :1 foot
What is the dimensions in the scale
drawing for a room that is 27 feet
by 20 feet.
Jeri asked her 31 classmates how
many liked chocolate cake, white
cake, or neither. Fourteen liked
chocolate and nine liked white.
Assuming that all of her classmates
replied, what percent liked neither?
Round to the nearest percent.
Estimate 178 to the nearest
whole number.
The length of one leg of a right
triangle is 21 inches and the length
of the hypotenuse is 35 inches.
Find the length of the other leg.
Find the area of the trapezoid:
A strong wind blew over a billboard
27 feet tall so that it is leaning
against a telephone pole. The top
of the billboard is 21 feet from the
ground. How far from the base of
the telephone pole is the base of
the billboard?
Some divers found a shipwreck in
the Gulf of Mexico. The mast of the
ship had broken off and was
leaning against a vertical section of
the coral reef. If there was 12.8
meters of the top of the mast left
resting 5.5 meters away from the
base of the reef, how high up the
reef is the crow’s nest (top of the
mast) resting?
Find the percent of change if the
original price is $19.95 and the new
price is 14.49. Round to the
nearest percent.
Find the volume of the rectangular
prism with length 9.3 meters, width
6.6 meters, and height 3.2 meters.
Round to the nearest tenth.
There are two bunny counters, 16
mouse counters, 8 snake counters,
and 7 monkey counters in the bag.
Gina takes 2 counters without
replacing the first one. Find
P(snake, then bunny).
2000 7th Grade
Solve:
3
3
(
c

8)


8
2
7th
4
7
In the
grade class, of the
students are at least 13 years old.
If there are 12 students younger
than 13, how many are older than
13?
Find the GCF of 16, 56, and 64
What is the multiplicative inverse of
3
1
6
If a = 4, b = 7, and c = 10, evaluate
4a  c  2b
What is the total cost of a shirt that
cost $27.99 if the tax rate is 8 34 % ?
Write twenty-five thousandths in
scientific notation.
What is the square root of the cube
root of 64?
The price of a long sleeved shirt at
Hammer’s went from $28.59 to
$36.89 last month. Find the percent
of increase to the nearest whole
percent.
If 30% of the people surveyed
preferred the color green, how
many degrees would represent this
sector on a circle graph?
Find the circumference of a circle
with r = 4.2 cm.
Find the volume of a cylinder that
has a diameter of 6 ft. and a height
of 24 ft.
What four sided figure has one pair
of parallel sides?
A piece of wire is cut into thirds.
One-third was used. One-fifth of
the remaining wire was used. The
piece that remains is 16 ft. long.
What was the original length of the
wire?
Find the median of 30, 25, 20, 18,
22, 30, and 28.
List the elements that would be
contained in the resulting set
{100,98,95,78,62} {57,78,82,94,95,98}
How much interest is earned on
$5000 at 8% simple interest in 3
months.
40% of what number is 82?
What is
1
3
1
2
of of 36
Simplify:
18  (16  35  7  199.996)
0
Alana and Chris are running for
president of a service group, and
Bert, Devon, Elaine, and Frances
are running for vice-president. How
many president/vice-president
combinations are possible?
Find the largest integer that
satisfies the following inequality:
12  3x  152
Simplify:
(3gal 2qt 1 pt )  (1gal 2qt 1 pt 2oz )
Find the surface area of a
rectangular prism whose height is
10 cm, width is 12 cm, and length
is 15 cm.
What is the height of a right triangle
whose base is 24 in and has a
hypotenuse of 26 in?
Given:
(6 )(5 )  ( N )(900)
3
4
Find N.
A 100 ft. rope is cut into 3 pieces.
The first is 3 times as long as the
second, and the third piece is 20 ft.
shorter than the second. How many
feet long is the shortest piece?
What is the mean of all the prime
numbers between 90 and 115?
1998 7th Grade
87.5 is 3.5% of what number?
20 + .06 + .005 + 9.0062
Which is biggest?
5.5% of 100
125% of 12
3
4 of 84
5 10
1
2
9.55 10
2
Find the area of a triangle with a
base of 20 ft. and a height of 18 ft.
1
62
3
4
If Tom answered 35 questions
correctly, what percent did he get
wrong if there were 50 questions?
Change to a decimal and round to
the nearest tenth:
4 75
Find the perimeter of a regular
pentagon if a side is 12m.
Find the area of a circle whose
diameter is 20 ft.
Solve for y:
2y + 5 = 17
(-72) – (-84) =
Which is not true:
A right triangle always has two acute angles.
A scalene triangle has no congruent sides.
A triangle may have two obtuse angles.
An equilateral triangle has three congruent angles.
In a right triangle, the largest angle is opposite the
longest side.
Find the value of 5abc if
a = 7, b = 36, and c = 40
Simplify:
75  35  5  4  3
Find the area of a square if the
perimeter is 96 ft.
Find the GCF of 96 and 72.
Find
4 2
3
2
(12)  (4)
A man needs 4.75 lbs. of grass
seed. If he has 80 oz, how much
more does he need?
If you travel 225 miles in 3 34 hours,
what is your rate of speed in miles
per hour?
How much time elapses between
4:30 am and 8:15 pm the same
day?
Find the area of a triangle in square
yards if the base is 12 ft and the
height is 18 ft.
If 3x – 3 > 12, write three possible
values of x.
Sue purchased 5 pens at $1.25
each and paid sales tax of 8%.
How much changed did she get
from $10?
Write in order from least to
greatest:
1
2
, 0.65,
5
8
, 6.5%
If the area of a rectangle is 135
square feet and the width is 9 ft.,
what is the perimeter?
A farmer needs 1,350 lb. of hog
feed each day. How many tons
must he buy for a week if cannot
buy parts of a ton?
Give the sum in feet:
(3 ft 18in)  (5 ft 10in)
1997 7th Grade
What is the sum of
16 + 2.04 + 133.27?
Mrs. Jones bought a radio for
$128. 86. She also bought a box of
tapes for $11.50. How much
change would she receive if she
gave the clerk $150.00?
What is 34.824 x 100?
Suppose your body burns 4
calories per minute while walking, 8
calories per minute while
swimming, and 6 calories per
minute while bicycling. How many
calories would you burn if you
spent 5 hours walking, 4 hours
bicycling, and 6 hours swimming?
What is the quotient when you
divide 87.516 by 44?
A refreshment stand sells a 0.4 liter
serving of lemonade for $.65. How
much money is made if 9.2 liters
are sold?
Solve the equation:
d + (3.6 + 2.5) = 15.5
Solve:
3b
5
 2  43
Add.
8 9 2
3
8
4
6
5
24
Julie has 2 pieces of fabric. One
2
piece is 4 3 yards long. The other is
3 125 yards long. How much must
she cut from the longer piece for
both pieces to be the same size?
1 2
1
4
2
7
James teaches carpentry. To save
money, James buys wood in bulk.
1
He has one piece that is 8 2 ft. long.
He must saw it into 34 ft. segments
for birdhouse floors. How many
segments can he cut from the
piece?
Add. Reduce to lowest terms.
4qt. 2c.
 2qt. 5c.
Add.
4 yd . 2 ft. 10in.
 3 yd . 1 ft. 11in.
A video tape can record 4 hours of
TV shows. A 90 minute show and
an 85 minute show have been
recorded. How much time is left on
the tape?
What percent of 50 is 15?
The original cost of an item is $360.
If you receive a discount of 18%,
what will be the sale cost of the
item?
What is the best name for the
figure?
If the measure of two angles of a
triangle are 50 and 65 , what is
the measure of the third angle?
What is the circumference of a
circle with a radius of 100 ft?
Sue decided to change the tile floor
on her rectangular kitchen floor.
The floor is 20 ft by 10 ft. If each
1
square is 1 4 ft long, how many tiles
are needed?
There are 2 purple, 3 yellow, and 2
green balls in a bag. Without
looking, you choose one ball. What
is the probability that the ball will
not be yellow?
What is the mean of 91, 95, 99, 90,
99, 98, 94, and 92 rounded to the
nearest tenth.
A hardware store kept a record of
the sizes of drill bits sold in one
week. The sizes in inches were
1 1
8 16
1
4
1 1
2 8
, , , , , and 1
What is the mode of the sizes sold?
What is the correct order of these
numbers from greatest to least?
5, -2, 6, and -9
1
2
Carlos ran a mile in 7 minutes.
Juan ran the distance 34 of a minute
faster. How long did it take Juan to
run the mile?
It costs $5.00 to rent a small
tractor. In addition, it costs $3.00
per hour to use. Paul paid $23.00
in all. How many hours did he use
the tractor?
Mr. Wagner had some money. He
1
spent 5 of it on books. Then he
2
spent 3 of what was left on a
microwave oven. This left him
$60.00. How much money did he
have in the beginning?
1995 7th Grade
1
2
What is 12 % of 80?
Solve:
3x  2 12  44 12
Give the decimal and fraction form
of
16.5%
Which is the greatest?
14  0.07
2.45  53
2
4  3 16
6.5 100  6497
Find the mean of the following
numbers:
67, 73, 41, 85, and 74
Find the surface area of a
rectangular solid with a height of
3 mm, a width of 4 mm, and a
length of 11 mm?
What is the percent of increase
from $83.50 to $93.52?
The sum of two acute angles in a
right triangle is what ?
1
2
When 30 is divided by , the
quotient equals what ?
The perimeter of an equilateral
triangle is 36. What is the length of
a side of the triangle?
Round to the nearest whole
number: 0.9111.
What is the value of the underlined
digit?
23,809.23809
9,001 - 934
Find the area of the rectangle with
a width of 9.1 cm and a length of
8.7 cm.
Two angles of a triangle have
measures of 44 degrees and 18
degrees. Find the measure of the
third angle.
Jill bought a radio for $29.95. The
sales tax was 5%. What was the
total amount she paid?
Write a number that is divisible by
2, 3, 5, and 10.
3  0.25  8 
3
8
10
9
Simplify:
3.89
1000
12 ft. = ____ in.
Simplify:
5  3 2 
12
4
Subtract four hundred twenty-five
ten-thousandths from four hundred
and twenty-five ten-thousandths.
Multiply:
13
5 73  2 101  1 196  2 15
The area of a rectangular floor is
72 square feet. It is twice as long
as it is wide. How long is it?
What is 34 % of 64?
The height of 11 students were
recorded in inches as 57, 52, 61,
57, 49, 54, 61, 57, 53, 51, and 53.
What is the median height?
If Mark must not spend more than
$15 for stamps, and the stamps
cost $0.35 each, what is the
greatest number that he can buy?