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7th Practice ACAP test math

Total questions: 80

Worksheet time: 2hrs 39mins

Name
Class
Date
1.

The number found the most in your set is called...

a)

mase

b)

mode

c)

median

d)

mean

2.

Find the mean of 8,2,7 and 3...

a)

5

b)

10

c)

15

d)

20

3.

Based on this define Interquartile range..

a)

The midpoint between the smallest and highest data set

b)

The value of range

c)

The range of values from the lower quartile to the upper quartile data set.

4.

The inverse operation of the addition is the...

a)

subtraction

b)

multiplication

c)

division

5.

This is the...

a)

Perimeter

b)

Diameter

c)

Ratio

d)

Surface Area

6.

Does congruent mean that they have different size & shape?

a)

Yes

b)

No

7.

Which of these are Supplementary Angles?

Hint: Two correct answers

a)

1 & 3

b)

1 & 2

c)

2 & 4

d)

4 & 3

8.

This a example of a ....

a)

Complementary Angle

b)

Supplementary Angle

c)

Congruent Angle

9.

This is a example of...

a)

Angle

b)

Distribution

c)

Distributive Property

d)

Property

10.

Nate has 4 1/3 yards of fabric. He uses 2.5 yards of fabric to make a pillow. How much fabric does he have left?

a)

1 5/6

b)

6 5/6

c)

10 5/6

d)

1 11/15

11.

Olivia orders 6 ham sandwiches at the deli. The total amount was $30.72. How much did each sandwich cost?

a)

$5.00

b)

$5.12

c)

$24.72

d)

$24.90

12.

Mrs. Cheng has $22 deducted monthly from her checking account for her gym membership. What integer represents the change in her account for a year of gym membership?

a)

264

b)

22

c)

-22

d)

-264

13.

On a map, 2 inches represent an actual distance of 28 miles. If the actual distance between two cities is 322 miles, how many inches apart will the two cities be on the map?

a)

2 inches

b)

23 inches

c)

28 inches

d)

644 inches

14.

Tyler earned $76 for babysitting 8 hours. If Tyler is paid the same rate, how much will he earn for babysitting 12 hours?

a)

$9.50

b)

$76

c)

$114

d)

$608

15.

Charlene bought her friends lunch. The bill came to $47.75 before Charlene added an 18% service tip. How much did she add for the service tip?

a)

$8.60

b)

$11.20

c)

$19.75

d)

$29.75

16.

The school band sold 150 tickets to their concert. If 90 of the tickets were adult tickets, what percent of the tickets sold were adult tickets?

a)

30%

b)

40%

c)

50%

d)

60%

17.

A car travels 132 miles on 4 gallons of gas. At the same rate, how many gallons of gas are needed to travel 231 miles?

a)

7 gallons

b)

12 gallons

c)

33 gallons

d)

35 gallons

18.

Simplify the expression. 4x + 3 – x – 7

a)

3x + 4

b)

3x - 4

c)

5x + 4

d)

5x - 10

19.

What is the solution to the equation

4t – 20 = 16?

a)

36

b)

9

c)

-4

d)

-1

20.

Randy is playing a number game. Beginning with the number 6, he adds 4, multiples by 5, and then divides by -10. He then subtracts 2. What number does he find at the end of the game?

a)

-3.6

b)

-4.6

c)

-5

d)

-7

21.

Jeb’s weight w is 1/4 of Iago’s weight a. Which equation could be used to find Jeb’s weight?

a)

w = ¼ + a

b)

w = ¼ a

c)

w = a + ¼

d)

w = a – 1/3

22.

The circumference of a circle is 18π. What is the radius of this circle? (C = 2πr)

a)

18

b)

16

c)

9

d)

2

23.

Booker has a bag of marbles. There are 12 blue marbles, 8 yellow marbles, and 6 red marbles. Booker reaches into the bag without looking and picks a marble. What is the probability that he picks a red marble?

a)

5/25

b)

6/25

c)

3/13

d)

12/26

24.

There are 10 marbles in a bag: 1 blue, 3 yellow, 2 red, and 4 white. If you choose a marble at random, which is the probability that you will NOT choose white?

a)

40%

b)

50%

c)

60%

d)

70%

25.

Juan needs to choose an outfit from his closet. He can choose from a red, green, or blue T-shirt and he can choose from a pair of blue, tan, or black pants. How many possible outfits does Juan have if he picked one shirt and one pair of pants at random?

a)

3

b)

6

c)

9

d)

12

26.

A jar contains 3 green marbles, 2 pink marbles, and 4 striped marbles. One marble is picked at random and then replaced. Then another marble is drawn at random again. What is the probability that both marbles are striped?

a)

25%

b)

likely

c)

4/9

d)

16/81

27.

If three gallons of milk are $10.50, how much for one gallon of milk?

a)

$3.00

b)

$7.00

c)

$3.50

d)

$5.25

28.

If your mom is driving 34 miles per hour, how far will she get in 12 hours?

a)

408miles

b)

46miles

c)

2.83miles

d)

410miles

29.
a)

9 players per team

b)

12 players per team

c)

10 players per team

d)

11 players per team

30.

When Amy works out for 1 hour she burns 240 calories. What is the constant of proportionality for the amount of calories she burns?

a)

40 calories per minute

b)

4 calories per minute

c)

15 calories per minute

d)

60 calories per minute

31.

Jimmy was going on vacation. His parents drove the first day and went 390 miles in 6 hours. The next day they drove for 8 hours and went 520 miles. What was their constant rate of speed?

a)

y = 65x

b)

y = 60x

c)

y = 40x

d)

y = 25x

32.

Which of the following equations represents the total cost, C, for the number of sandwiches, S, where each sandwich costs $7?

a)

S = 7c

b)

S = 7/c

c)

C = 7s

d)

C = 7+s

33.

Which equation represents a proportional equation?

a)

y = kx

b)

y = mx+b

c)

y = x

d)

None of these represent a proportional equation.

34.

How do you know if a graph is proportional or not?

a)

The line on the graph is straight.

b)

The line on the graph goes up.

c)

The line on the graph starts at (0,0) or the origin.

35.

Does this graph show a proportional relationship?

a)

Yes

b)

No

36.

A recipe calls for 2/3 cup of sugar for every 2 teaspoons of vanilla.

What is the unit rate in cups per teaspoon?

a)

3 cups per tsp

b)

2 cups per tsp

c)

1/3 cup per tsp

d)

1/2 cup per tsp

37.

A recipe calls for 2/3 cup of sugar for every 1/2 teaspoon of vanilla.

What is the unit rate in teaspoons per cup?

a)

3 cups per tsp

b)

1 1/3 cups per tsp

c)

2 cups per tsp

d)

1/3 cups per tsp

38.

The formula for the circumference, C, of a circle with radius r is given.

C=2Πr

A circle has a circumference of 14Π inches.

What is the radius, in inches, of the circle?

a)

7

b)

14

c)

2

d)

28

39.

0.5(x - 3) = 7.5


What is the solution to this equation?

a)

5

b)

18

c)

45

d)

11

40.

Which expression is equivalent to –15x + 6?

a)

–3(5x – 2)

b)

–3(5x + 6)

c)

3(-5x – 2)

d)

3(5x + 6)

41.

An expression is shown.

2.3 + (-2.3)

What is the value of the expression?

a)

4.6

b)

-4.6

c)

0

d)

-2.53

42.

A bag contains gumballs.


  • 4 gumballs are blue.
  • 8 gumballs are yellow.
  • 3 gumballs are red.


A gumball will be randomly selected from the bag. What is the probability in decimal form that the gumball selected will be red?

a)

0.15

b)

0.3

c)

0.25

d)

0.2

43.

Kylie has 3 pink bracelets, 5 blue bracelets, and 2 green bracelets. She will randomly select one bracelet. What is the probability Kylie will select a pink bracelet?

a)

1/5

b)

3/7

c)

2/5

d)

3/10

44.

In the scale used on a blueprint, 1/2 inch represents 8 feet. On the blueprint what is the length of a room with an actual length 20 feet?

a)

2 inches

b)

1 1/4 inches

c)

2 1/2 inches

d)

16 inches

45.

The tree diagram shows the sample space for the lunch options at a company picnic.

How many different options include milk?

a)

9

b)

12

c)

2

d)

6

46.

Shawn plans to walk 12 laps around a path at the local park. Each lap is 750 yards. So far Shawn has walked 3,600 yards around the path. What percentage of the walk has Shawn completed?

a)

60%

b)

40%

c)

25%

d)

10%

47.

One of the aquariums at the zoo has 180 fish. Of these fish, 25% are bass, 40% are perch, and the rest are catfish. How many fish in the aquarium are catfish?

a)

63

b)

35

c)

72

d)

28

48.

There are 60 pieces of candy in a bag.


  • 1/3 are chocolate.
  • 2/5 are sour.
  • The rest are fruit-flavored.


How many of the pieces of candy are fruit-flavored?

a)

16

b)

20

c)

12

d)

32

49.
Which of the following is a unit rate
a)
56 miles in 2 minutes
b)
$4.59 for 3 pounds
c)
$10 per student
d)
$30 for 15 minutes
50.
Solve for x
a)
x=6
b)
x =1/6
c)
x = 7
d)
x=9
51.
Pat needs 14 sticks of pepperoni to make 28 pizzas.  How many sticks of pepperoni are needed to make 36 pizzas?  
a)
15 pizzas
b)
252 sticks
c)
18 sticks
d)
18 pizzas
52.

What is the absolute value?

a)

The opposite of a number.

b)

The number that when added together equals 0.

c)

The distance a number is from zero.

d)

The number that when added together equals 1.

53.
-5 - (- 3)
a)
-8
b)
8
c)
-2
d)
15
54.
-32/8
a)
-4
b)
-5
c)
4
d)
24
55.
How much tip should you leave if you want to tip 23% at Applebee's on a $27.31 bill?
a)
$6.28
b)
$33.59
c)
$21.03
56.
What is 82% As a decimal?
a)
8200
b)
820
c)
0.082
d)
0.82
57.
6z + 3 -4z = 9
a)
z = 3
b)
z = 60
c)
z = 30
d)
z = 1
58.
Solve the following equation.  Make sure to simplify into a mixed number!
-15/2 - (-20/3) = ?
a)
- ⅚
b)
⅚
c)
-1 ½
d)
5 ⅓
59.
What is the quotient of these fractions in lowest terms?
a)
6/40
b)
6/10
c)
3/5
d)
12/20
60.

Simplfy.
(2)(18)÷(−2+5)(−1)\left(2\right)\left(18\right)\div\left(-2+5\right)\left(-1\right)  

a)

-13

b)

-12

c)

12

d)

13

61.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
62.
Which is equivalent to 34
a)
27
b)
9
c)
81
d)
12
63.
Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 
?
a)
75
b)
76
c)
67
d)
77
64.
Which is equivalent to 24?
a)
8
b)
20
c)
16
d)
12
65.
What is nine cubed in exponential form?
a)
9 x 9 x 9 
b)
93
66.
What is the power to this problem?
6 x 6 x 6 x 6 x 6 x 6 x 6
a)
6 to the 7th power
b)
6 to the 8th power
c)
7 to the 9th power
d)
10 to the 5th power
67.
25 is the same as 2 x 5.
a)
True
b)
False
68.
Choose the answer.
52
a)
10
b)
15
c)
20
d)
25
69.
Which is equivalent to 9o
a)
1
b)
0
c)
9
d)
No Answer
70.
How do you correctly say 43
a)
4 squared
b)
3 quadrupled
c)
4 cubed
d)
4 to the power of 2
71.
Which of the following is an expression?
a)
6x + 2x = 6
b)
10 = 5x
c)
2x + 6x - 10
d)
6x2 + 10 = 25
72.
Which of the following is an equation?
a)
6x + 2x - 6
b)
6x2 + 10 = 25
c)
6x2 + 10 - 25
d)
10y - 6 + 34u
73.
Solve for x 
a)
x = 98/5
b)
x = 5/98
c)
x = 101/5
74.

Congruent means

a)

double or twice

b)

added together

c)

same or equal

75.

An equation with two equal ratios

a)

proportion

b)

rate

c)

unit rate

d)

reciprocal

76.
The local resale store buys used designer jeans for $15. The store increases their purchase price by 400%. What is the sale price of the designer jeans?
a)
$60
b)
$75
c)
$125
d)
$600
77.
Angles A and B are supplementary. Angle A is 39°, so angle B must be _______.
a)
51°
b)
141°
c)
151°
d)
41° 
78.
A recipe that yields 2.5 dozen muffins requires 1.25 cups of flour. Mandy wants to make 10 dozen muffins. How many cups of flour will she need?
a)
2.5 cups
b)
5 cups
c)
10 cups
d)
20 cups
79.
Suppose that a butterfly can fly 82 feet in 4 seconds. A dragonfly can fly 50 feet in 2 seconds. Which can fly faster and by how much? 
a)
The dragonfly is 4.5 feet per second faster. 
b)
The dragonfly is 20.5 feet per second faster.
c)
The butterfly is 4.5 feet per second faster. 
d)
The butterfly is 24 feet per second faster. 
80.
A notebook costs $4.50 plus sales tax. After sales tax, the notebook is $4.86. What is the sales tax rate? 
a)
6%
b)
7%
c)
8%
d)
9%

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