Free Printable 6th Grade ACT Aspire Review

1.

WWWRRREEEWWTT

what is the ratio of vowels to consonants?

a)

3:10

b)

3:13

c)

13:3

d)

10:3

2.

A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?

a)

16 customers per hour

b)

15 customers per hour

c)

12 customers per hour

d)

20 customers per hour

3.

If Justin can type 408 words in 4 minutes, how many words can he type per minute?

a)

102 words per minute

b)

100 words per minute

c)

400 words per minute

d)

412 words per minute

4.

Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?

a)

$1.25 per pound

b)

$1 per pound

c)

$2 per pound

d)

$1.50 per pound

5.

a)

3/8

b)

3-1/8

c)

1/24

d)

4/8

6.

³⁄₅× ²⁄₅=

a)

⁵⁄₁₀

b)

⁶⁄₅

c)

⁶⁄₂₅

d)

¹⁄₅

7.

0.2 x 0.8

a)

16

b)

0.16

c)

0.016

d)

1.6

8.

7.13 x 5.5

a)

39.215

b)

3.9215

c)

392.15

d)

3921.5

9.

5.78 x 3.5

a)

0.223

b)

2.23

c)

22.3

d)

20.23

10.

Divide

22.8\div4=

(a)

11.

Evaluate

0.72\div0.3=

a)

0.24

b)

2.4

c)

24

d)

0.64

12.

Divide

4.13\div0.7=

a)

0.59

b)

5.9

c)

590

d)

59

13.

5/9 DIVIDED BY 1/2 =

a)

5/18

b)

1 1/9

c)

1 5/18

d)

1 1/2

14.

6/7 DIVIDED BY 1/2 =

a)

3/7

b)

1 2/7

c)

1 3/7

d)

1 5/7

15.

1/3 DIVIDED BY 1/4 =

a)

1/12

b)

1 1/4

c)

1 1/3

d)

2 1/2

16.

Which integer represents a depth deeper than -20?

a)

-15

b)

-17

c)

-14

d)

-25

17.

Which integer represents a temperature that is less than (colder) -60?

a)

-75

b)

-59

c)

-58

d)

-43

18.

$\left|89\right|$

a)

90

b)

-90

c)

89

d)

-89

19.

What do you know about distance?

a)

It can never be negative

b)

It can never be positive

20.

l -350 l

a)

-350

b)

350

c)

-351

d)

351

21.

$\left|31\right|$

a)

31

b)

-31

c)

49

d)

-49

22.

Compare: |13| ____ |-14|

a)

<

b)

>

c)

=

23.

Compare|-5| to the |-10|

a)

|-5| > |-10|

b)

|-5| = |-10|

c)

|-5| < |-10|

24.

Write an expression to match the words:
the difference of ten and three

a)

10 + 3

b)

10 - 3

c)

10 x 3

d)

10÷3

25.

Write an expression to match the words:
the product of five and nine

a)

5 x 9

b)

5 + 9

c)

9 - 5

d)

95

26.

Write an expression to match the words:
the quotient of twenty and two

a)

20 x 2

b)

20 + 2

c)

20 - 2

d)

20 ÷ 2

27.

Write an expression to match the words:
the sum of three and eleven

a)

3 x 11

b)

11 ÷ 3

c)

3 + 11

d)

11 - 3

28.

6a - 3d
when a = 1, d = 2

a)

3

b)

12

c)

1

d)

0

29.

8y + 12 - 2z
for y = 4 and z = 2

a)

40

b)

20

c)

84

d)

34

30.

Evaluate 3x + 8 if x = 2

a)

13

b)

14

c)

15

d)

16

31.

To find the average of a set of numbers, add up all the items and divide by...

a)

2

b)

The minimum

c)

The maximum

d)

The number of items

32.

What is the mode?

a)

# happening the most

b)

the average

c)

biggest - smallest

d)

the middle #

33.

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?

a)

193

b)

127

c)

60

d)

66

34.

The scores awarded to 25 students for an assignment were as follows:
4 7 5 9 8 6 7 7 8 5 6 9 8 5 8 7 4 7 3 6 8 9 7 6 9
What is the mode?

a)

6

b)

7

c)

8

d)

9

35.

Find the mean of these numbers:
5,11,2,12,4,2

a)

4.1

b)

6

c)

4.5

d)

4

36.

The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below:
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?

a)

5

b)

6

c)

9

d)

11

37.

The number of miles that Jenna cycled each week for a 7-week period is shown:
36, 42, 28, 52, 48, 36, 31
What is the median number of miles Jenna cycled?

a)

24

b)

36

c)

39

d)

52

38.

What is the mode of this data set?
84, 92, 68, 79, 94,
84, 92, 79, 84, 68

a)

68

b)

79

c)

84

d)

92

39.

Which axis runs vertically?

a)

x

b)

Y

40.

Which axis runs horizontally?

a)

x

b)

y

41.

How do you write an ordered pair?

a)

(X,X)

b)

(Y,X)

c)

(X,Y)

d)

(Y,Y)

42.

In the ordered pair (4,9), which number is the y-coordinate?

a)

4

b)

9

c)

neither

d)

both

43.

Which ordered pair matches the graph?

a)

(2.5, 1.5)

b)

(1.5, 2.5)

c)

(.75, 1.5)

d)

(1.5, .75)

44.

Which ordered pair matches the graph?

a)

(1.5, 1.75)

b)

(-1.25, -1.75)

c)

(-1.5, 1.75)

d)

(1.25, 1.75)

45.

What is Coordinate N?

a)

(7,6)

b)

(5,5)

c)

(6,6)

d)

(7,7)

46.

A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?

a)

2 to 5

b)

5 to 3

c)

3 to 5

d)

5 to 2

47.

In the fruit bowl there are 4 apples, 2 bananas, and 5 pears. What is the ratio of pears to ALL fruit?

a)

5:4

b)

5:11

c)

2:5

d)

6:5

48.

Kelly has 10 apps on her iPad. 5 are school apps, 2 are music apps, and 3 are games. What is the ratio of school apps to game apps?

a)

5 to 2

b)

3 to 5

c)

5 to 10

d)

5 to 3

49.

If there are 5 boys and 7 girls, write the ratio of girls to boys.

a)

5 to 7

b)

7 to 5

c)

5 to 12

d)

7 to 12

50.

In the fruit bowl there are 4 apples, 2 bananas, and 5 pears. What is the ratio of pears to ALL fruit?

a)

5:4

b)

5:11

c)

2:5

d)

6:5

51.

Which sentence accurately represents the following ratio:

a)

The ratio of moons to suns is 4 to 8

b)

There are 4 moons for every 8 suns

c)

There are 4 moons for every 2 suns

d)

The ratio of suns to moons is 2:1

52.

A cookie recipe calls for 2 eggs and 3 cups of flour. How much flour and how many eggs are needed to make 3 batches?

a)

6 eggs and 9 cups of flour

b)

6 cups of flour and 9 eggs

c)

8 eggs and 12 cups of flour

d)

12 eggs and 8 cups of flour

53.

A cookie recipe calls for 2 eggs and 3 cups of flour. How many eggs are needed with 21 cups of flour?

(a)

54.

5 movie tickets cost $45. What is the cost per ticket?

a)

$45

b)

$9

c)

$40

d)

$225

55.

Are these ratios equivalent?

\frac{2}{3}

and

\frac{8}{9}

a)

yes

b)

no

56.

Here is a double number line showing that it cost $3 to buy 2 bags of chips. At this rate, how many bags of chips can you buy with $15?

a)

5 bags of chips

b)

4 bags of chips

c)

10 bags of chips

d)

8 bags of chips

57.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8 per pound

b)

$5 per pound

c)

$35 per pound

d)

0.125 pounds per dollar

58.

A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?

a)

2 to 5

b)

5 to 3

c)

3 to 5

d)

5 to 2

59.

What is a Ratio?

a)

Is a comparison of two quantities

b)

To multiply two fractions

c)

A number over another number

d)

Two decimals that can be multiplied

60.

What is an equivalent ratio to 3/4?

a)

1/4

b)

4/5

c)

12/16

d)

14/18

61.

In the fruit bowl there are 4 apples, 2 bananas, and 5 pears. What is the ratio of pears to ALL fruit?

a)

5:4

b)

5:11

c)

2:5

d)

6:5

62.

Which one is a real life example of a RATIO?

a)

12 noodles

b)

4 meatballs : 1 cup of sauce

c)

1 jar of sauce

d)

15 desserts

63.

Kelly has 10 apps on her iPad. 5 are school apps, 2 are music apps, and 3 are games. What is the ratio of school apps to game apps?

a)

5 to 2

b)

3 to 5

c)

5 to 10

d)

5 to 3

64.

The ratio of lemon juice to water in Ella's Delicious Lemonade is 3 cups : 5 cups. Audrey wants to make a triple batch. What ratio of lemon juice and water should she use AND how many cups of lemonade will it make?

a)

9 cups juice : 15 cups water makes 24 cups of lemonade

b)

6 cups juice : 10 cups water makes 16 cups of lemonade

c)

9 cups juice : 15 cups water makes 8 cups of lemonade

d)

9 cups juice : 5 cups water makes 24 cups of lemonade

65.

Are the ratios 2:1 and 18:9 equivalent?

a)

No

b)

Yes

66.

What is the ratio of red apples to green apples

a)

7 apples to 3 green

b)

4 red apples to 7 apples

c)

4 red apples to 3 green apples

d)

3 green apples to 4 red apples

67.

Which is NOT equivalent to 3:5?

a)

15:25

b)

9:15

c)

21:28

d)

30:50

68.

Which represents the relationship of oranges to fruit?

a)

2:6

b)

2:4

c)

4:6

d)

4:2

69.

Kelly has 10 apps on her iPad. 5 are school apps, 2 are music apps, and 3 are games. What is the ratio of school apps to game apps?

a)

5 to 2

b)

3 to 5

c)

5 to 10

d)

5 to 3

70.

Henry is reading a book. The ratio of the number of pages he read to the pages he has yet to read is 7 : 3. If the book contains 500 pages in all, how many pages did Henry read and how many pages are left for him to read?

a)

350 pages read : 150 pages are left

b)

250 pages read : 250 pages are left

c)

700 pages read : 300 pages are left

d)

70 pages read : 30 pages are left

71.

The ratio of lemon juice to water in Ella's Delicious Lemonade is 3 cups : 5 cups. Audrey wants to make a triple batch. What ratio of lemon juice and water should she use AND how many cups of lemonade will it make?

a)

9 cups juice : 15 cups water makes 24 cups of lemonade

b)

6 cups juice : 10 cups water makes 16 cups of lemonade

c)

9 cups juice : 15 cups water makes 8 cups of lemonade

d)

9 cups juice : 5 cups water makes 24 cups of lemonade

72.

Are the ratios 2:1 and 18:9 equivalent?

a)

No

b)

Yes

73.

Select all ratios equivalent to 2/1.

a)

24:12

b)

4:2

c)

9:7

d)

11:5

74.

What is B?

a)

28

b)

70

c)

49

d)

56

75.

What number is missing?

a)

7

b)

3

c)

10

d)

5

76.

Which of the following statements can be used to create the graph shown?

a)

For every 5 hours of work you get $6

b)

For every 24 hours of work you get $10

c)

For every 36 hours of work you get $50

d)

For every 6 hours of work you get $5

77.

What is meant by the ordered pair (3, 300) ?

a)

In 3 months, I made $300

b)

In 3 months, $300 was raised for the science fair

c)

In 300 months, $3 was made

d)

In 3 months, I made $200

78.

Erasers cost 5 cents each at the school store. The table shows this relationship. Choose the graph which displays the ordered pairs and describes the graph.

a)

b)

c)

d)

6th Grade ACT Aspire Review

Total questions: 78

Worksheet time: 4hrs 18mins

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