Transcript Math Strategies/Test Preparation

Deborah Butler
Resource Teacher
I taught my dog Spot
how to whistle.
I don’t hear
him whistling.
I said I taught him;
I didn’t say he learned it.
It is assessment that helps us know the
difference between teaching and learning.
Ms. Butler
Wouldn’t it be nice if …..the
problem had nice numbers?
Change the “mean” test numbers
to “nice” test numbers and then
do the problem.
Estimate
Sometimes being close is good
enough.
Try doing it with nice numbers too.
Just do it
Some problems you just have to
do, so just do them!
Plug and Chug
Plug in your own numbers (KISS)
and see what happens
Eliminate the
Impossible
Use estimation and common sense
to rule out the impossible choices.
Only the possible answer will
remain.
Using Answer Choices
No need to work for the answer,
be lazy!
Use the answer choices and see if
the result is true or false.
Olathe South’s Tardy Policy
Sally puts $200.00 in a bank
account. Each year the account
earns 8% simple interest. How
much interest will be earned in
three years?
A. $16.00
B. $24.00
C. $48.00
D. $160.00
Some students attend school 180
days of the 365 days in a year.
About what part of the year do
they attend school?
A.
18%
C. 75%
B.
50%
D. 180%
The five members of a band are
getting new outfits. Shirts cost
$12 each, pants cost $29 each, and
boots cost $49 a pair. What is the
total cost of the new outfits for all
of the members?
A. $90
B. $95
C. $450
D. $500
Christopher can type about 42
words per minute. If he types at
this rate for 30 minutes without
stopping, about how many
words will he type?
A 1260
B 2100
C 2520
D 4200
What is the volume of the shoebox
3
show below in cubic inches (in )?
9 in
15 in
5 in
A) 29
B) 75
C) 510
D) 675
A rectangular pool 42 feet by 68 feet is on a
rectangular lot 105 feet by 236 feet. The
rest of the lot is grass. Approximately how
many square feet is grass?
42 ft
68 ft
236 ft
A) 2,100
B) 2,800
C) 23,000
D) 28,000
105 ft
Jana bought a car for $4200
and later sold it for a 30%
profit. How much did Jana
sell the car for?
A $1260
B $2940
C $5460
D $7140
The scale drawing of the basketball court shown
below is drawn using a scale of 1 inch (in) = 24
feet (ft). What is the length, in feet, of the
basketball court?
2
4
3
4
in
A) 90 ft
B) 104 ft
C) 114 ft
D) 120 ft
1
2
in
The largest possible circle is to be cut from a
10-foot square board. What will be the
approximate area, in square feet, of the
remaining board (shaded region)?
(A = r2 and   3.14)
A) 20
C) 50
B) 30
D) 80
10 feet
Which equation is equivalent to
5x – 2(7x + 1) = 14x?
A
-9x – 2 = 14x
B
-9x + 1 = 14x
C
-9x + 2 = 14x
D
12x – 1 = 14x
16  8
3
A
4
B
6
C
9
D
10
Which relation is a function?
A {(-1,3), (-2,6), (0,0), (-2,-2)}
B {(-2,-2), (0,0), (1,1), (2,2)}
C {(4,0), (4,1), (4,2), (4,3)}
D {(7,4), (8,8), (10,8), (10,10)}
Which of the following numerical
expressions results in a negative
number?
A. (-7) + (-3)
C. (3) + (7)
B. (-3) + (7)
D.(3) + (-7) + (11)
g = (+)
Which of the following is equivalent
-6
4
to 7 7 ?
A 7
C 7
-24
-2
-10
B 7
D 7
2
1
If n =2, and x = , then
2
n(4 – x) =
A 1
C 7
B 3
D 10
What does x5 equal when x = -2?
A -32
B -10
1
C 32
D 32
Solve for n.
2n + 3 < 17
A.
n < 2
C. n < 5
B. n < 3
D. n < 7
What is the area of the triangle shown below?
(A = ½bh)
11
8
15
A)
B)
C)
D)
44 square units
60 square units
88 square units
120 square units
x  4 xy  4y
What is
2
3xy-6y
reduced to lowest terms?
2
A
C
x-2y
3
x+2y
3
2
x-2y
B
3y
x+2y
D
3y
7z  7z
z 4
 3

2
4z  8
z  2z  z
2
A
C
7(z-2)
4(z+1)
7z(z+1)
4(z+2)
2
B
D
7(z+2)
4(z-1)
7z(z-1)
4(z+2)
One hundred is multiplied by a
number between 0 and 1. The
answer has to be
A. less than 0.
B. between 0 and 50 but not 25.
C. between 0 and 100 but not 50.
D. between 0 and 100.
The square of a whole number is
between 1,500 and 1,600. The
number must be between
A. 30 and 35.
C. 40 and 45.
B. 35 and 40.
D. 45 and 50.
In the figure below, an edge of the larger cube
is 3 times the edge of the smaller cube. What
is the ratio of the surface area of the smaller
cube to that of the larger cube?
A) 1 : 3
B) 1 : 9
C) 1 : 12
D) 1 : 27
If a is a positive number and b is a
negative number, which
expression is always positive?
A a–b
B a+b
C ab
D a b
If n is an odd number, which of the
following is true about n + 1?
A It s an odd number.
B It is an even number.
C It is a prime number.
D It is the same number as n -1.
Which equation represents a line
5
that is parallel to y = - x  2 ?
4
5
A y = - x 1
4
4
B y=- x2
5
4
c y=
x3
5
5
D y=
x4
4
The graph of the equation y = x2 -3x – 4 is
shown below.
y
8
6
4
2
x
-9
-8
-7
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
7
8
9
-2
-4
-6
-8
For what value or values of x is y = 0?
A x = -1 only
B x = -4 only
C x = -1 and x = 4
D x = 1 and x = -4
For which equation graphed below
are all the y-values negative?
y
y
A
B
y
y
8
8
6
6
4
4
2
x
-9
-8
-7
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
7
8
9
2
x
x
-9
-8
-7
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
7
8
9
-2
x
-2
-4
-4
-6
-6
-8
-8
y
C
y
D
y
8
y
8
6
6
4
4
2
2
x
-9
-8
-7
-6
-5
-4
-3
-2
-1
1
-2
2
3
4
5
6
7
8
9
x
x
-9
-8
-7
-6
-5
-4
-3
-2
-1
1
-2
-4
-4
-6
-6
-8
-8
2
3
4
5
6
7
8
9
x
RED
YELLOW
BLUE
GREEN
The spinner shown above is fair.
What is the probability that the
spinner will not stop on red if you spin
it one time?
1
A. 4
1
B. 3
3
C. 4
4
D. 3
1 2
Which of the following is the graph of y = x ?
4
Which of the following could be the graph of y = x3?
Beverly walked 6 miles at the speed of
four miles per hour. How long did it
take her to walk the distance?
A
2
3
hr
B 1 1 hrs
2
C 4 hrs
D 6 hrs
One cubic inch is approximately
equal to 16.38 cubic centimeters.
Approximately how many cubic
centimeters are there in 3 cubic
inches?
A) 5.46
B) 13.38
C) 19.38
D) 49.14
12
x
5
What is the value of x in the
triangle shown above?
A) 11
B) 13
C) 17
D) 169
What is the solution for this equation?
2x – 3 = 5
A x = -4 or x = 4
B x = -4 or x = 3
C x = -1 or x = 4
D x = -1 or x = 3
The total cost (c) in dollars of renting
a sailboat is given by the equation
C = 120 + 60n
If the total cost was $360, for how
many days was the sailboat rented?
A
2
B
4
C
6
D
8
A 120-foot long rope is cut into 3
pieces. The first piece of rope is
twice as long as the second piece of
rope. The third piece of rope is three
times longer than the second piece
of rope. What is the length of the
longest piece of rope?
A
20 feet
B
40 feet
C
60 feet
D
80 feet
Which number serves as a counterexample
to the statement below?
All positive integers are divisible by 2 or 3
A
100
B
57
C
30
D
25
Solve for x.
2x – 3 = 7
A -5
B -2
C 2
D 5
The table shows values for x and
corresponding values for y
x
y
21 3
14 2
28 4
7
1
Which of the following represents
the relationship between x and y?
A y=
1
x
7
C y=x–6
B y = 7x
D y = x - 18
The winning number in a contest
was less than 50. It was a multiple
of 3, 5, and 6. What was the
number?
A 14
B 15
C 30
D It cannot be determined
Assume y is an integer and solve
for y.
y+2 = 9
A {-11,7}
B {-7,7}
C {-7,11}
D {-11,11}
If x is an integer, which of the
following is the solution set for 3
3 x = 15?
A {0,5}
B {-5,5}
C {-5,0,5}
D {0,45}
Which of the following
points lies on the line y = x?
A (-4,-4)
B (-4,4)
C (4,-4)
D (-4,0)
7x + 3y = -8
-4x – y = 6
What is the solution of the
equations shown above?
A {-2,-2}
B {-2,2}
C {2,-2}
D {2,2}