Free Printable First Unit Review

1.

$\frac{1}{2}\ +\ \frac{1}{3}\ =\ ?$

a)

$\frac{2}{5}$

b)

$\frac{1}{6}$

c)

$\frac{5}{6}$

2.

$5\ \frac{3}{4}\ +\ 7\ \frac{1}{2}\ =\ ?$

a)

$13\ \frac{1}{2}$

b)

$13\ \frac{1}{4}$

c)

$12\ \frac{1}{4}$

d)

$12\ \frac{3}{4}$

3.

$5\ \frac{3}{4}\ +\ 7\ \frac{1}{2}\ =\ ?$

a)

14.50

b)

13.25

c)

12.25

d)

12.75

4.

Convert into an improper fraction

5\ \frac{3}{4}

a)

$\frac{23}{5}$

b)

$\frac{22}{4}$

c)

$\frac{21}{4}$

d)

$\frac{23}{4}$

5.

Convert to an improper fraction

7\ \frac{1}{2}

a)

$\frac{15}{2}$

b)

$\frac{14}{2}$

c)

$\frac{17}{5}$

d)

$\frac{14}{3}$

6.

Convert to a decimal number

4\ \frac{3}{4}

a)

4.75

b)

4.25

c)

4.5

d)

4.3

7.

Simplify

\frac{15}{60}

a)

$\frac{3}{4}\ or\ .75$

b)

$\frac{1}{4}\ or\ .25$

c)

$\frac{1}{2}\ or\ .50$

8.

Simplify

\frac{45}{60}

a)

$\frac{3}{4}\ or\ .75$

b)

$\frac{1}{4}\ or\ .25$

c)

$\frac{1}{2}\ or\ .50$

9.

Simplify

\frac{60}{60}

a)

$\frac{3}{4}\ or\ .75$

b)

$\frac{1}{4}\ or\ .25$

c)

$\frac{1}{2}\ or\ .50$

d)

$\frac{1}{1}\ or\ 1$

10.

Simplify

\frac{15}{50}

a)

$\frac{3}{10}\ or\ .3$

b)

$\frac{1}{5}\ or\ .2$

c)

$\frac{1}{3}\ or\ .33$

11.

$\frac{1}{2}\ of\ 36\ =\ ?$

a)

$\frac{1}{2}\ \times\ 36\ =\ \frac{36}{2}\ =\ 18$

b)

$\frac{1}{2}\ \times\ \frac{1}{36}\ =\ \frac{1}{72}$

12.

$\frac{1}{4}\ of\ 24\ =\ ?$

a)

$\frac{1}{4}\ \times\ 24\ =\ \frac{24}{96}$

b)

7

c)

$\frac{1}{4}\ \times\ 24\ =\ \frac{24}{4}\ =\ 6$

d)

4

13.

$14\ \div\ 0.5\ =\ ?$

a)

28

b)

18.5

c)

7.5

d)

28.5

14.

Is the statement true/false about the set of rational numbers?

"If a number is a rational number, then the number is a whole number"

a)

True

b)

False

15.

Is the statement true/false about the set of rational numbers?

"If a number is a whole number, then the number is a rational number"

a)

True

b)

False

16.

Is the statement true/false about the set of rational numbers?

"If a number is an integer, then the number is a whole number"

a)

True

b)

False

17.

Is the statement true/false about the set of rational numbers?

"If a number is a rational number, then the number is greater than 0"

a)

True

b)

False

18.

Which statement is true about the set of rational numbers?

A) If a number is a rational number, then the number is a whole number

B) If a number is a whole number, then the number is a rational number

C) If a number is an integer, then the number is a whole number

D) If a number is a rational number, then the number is greater than 0

(INTERIM QUESTION)

a)

A

b)

B

c)

C

d)

D

19.

Which set of numbers is NOT a subset of rational numbers?

F) Negative Integers

G) Repeating Decimals

H) Positive Decimals

J) Negative terminating decimals

Clue: Those that cannot be written as the ratio of two integers.

a)

G

b)

F

c)

F

d)

J

20.

Which of these set of numbers cannot be written as a 'fraction'?

F) Negative Integers

G) Repeating Decimals

H) Positive Decimals

J) Negative terminating decimals

a)

G

b)

F

c)

F

d)

J

21.

Which Venn diagram best represents the relationship among integers, rational numbers, and whole numbers?

(BENCHMARK QUESTION)

a)

J

b)

H

c)

F

d)

G

22.

"All the whole numbers are part of the integer group, all the integers are part of rational number group, but all the rational numbers may not be integers or whole numbers - meaning there can be rational numbers that are not integers or whole numbers"

Which diagram supports the statement?

a)

J

b)

H

c)

F

d)

G

23.

Green and Red shapes are part of big Blue oval. As Fort Worth city and Texas are part of USA. So, whole numbers and integers are also, rational numbers. True or False?

a)

It is true.

b)

It is false.

24.

What is the equivalent decimal representation of

\frac{1}{8}

?

a)

0.125

b)

1.25

c)

0.12

d)

0.132

25.

Which expression shows the necessary math for making

2\ \frac{2}{5}

into an improper fraction

a)

$2\div5+2$

b)

$2\times5\times2$

c)

$2\times5+2$

d)

$2\times5-2$

26.

What is the number you get when you add up the number of customers together?

a)

54

b)

56

c)

50

27.

What is the number you get when you add up the number of customers together? If you create a fraction of those who like Pumpkin out of total customers, what could it look like?

a)

54,\ \frac{6}{54}

b)

$56,\ \frac{15}{56}$

28.

What is the number you get when you add up the number of customers together? If you create a fraction of those who like Pumpkin out of total customers, what could it look like? How can you simplify it?

a)

54,\ \frac{6}{54}\ =\ \frac{1}{9}

b)

$56,\ \frac{15}{56}\ =\ \frac{1}{8}$

29.

What is the total number of customers in this picture?

a)

60

b)

45

c)

15

30.

If you create a 'fraction' of those who like red color, what would it be?

a)

$\frac{15}{60}$

b)

$\frac{45}{60}$

c)

15

31.

If you create a 'fraction' of those who like blue color, what would it be?

a)

$\frac{15}{60}$

b)

$\frac{45}{60}$

c)

45

32.

If you create a 'fraction' of those who like blue color, what would it be? Can you simplify it?

a)

$\frac{15}{60}=\ \frac{1}{4}$

b)

$\frac{45}{60}\ =\ \frac{3}{4}$

c)

45

33.

If you create a 'fraction' of those who like red color, what would it be?

a)

$\frac{15}{60}\ =\ \frac{1}{4}$

b)

$\frac{45}{60}\ =\ \frac{3}{4}$

c)

15

34.

Ryan and his mother are making new curtains for his room. They need

5\ \frac{3}{4}

yards of material for the windows. Can you convert it into a mixed fraction?

a)

$\frac{23}{4}$

b)

$\frac{20}{4}$

35.

Ryan and his mother are making new curtains for his room. They need

7\ \frac{1}{2}

yards of material for the doors. Can you convert it into a mixed fraction?

a)

$\frac{15}{2}$

b)

$\frac{14}{2}$

36.

You had a good collection of songs, around 50 in total. Out of that 15 are pop songs. What is the simplified fraction that you can create out of it?

a)

$\frac{15}{50}\ =\ \frac{3}{10}$

b)

$\frac{15}{50}\ =\frac{1}{5}$

37.

Ryan and his mother are making new curtains for his room. They need

5\ \frac{3}{4}

yards of material for the windows. Can you convert it into a decimal number?

a)

5.75

b)

5.4

c)

5.25

38.

Ryan and his mother are making new curtains for his room. They need

7\ \frac{1}{2}

yards of material for the doors. Can you convert it into a decimal number?

a)

$7.5$

b)

$7.75$

c)

7.25

39.

Which Venn diagram best represents the relationship among integers, rational numbers, and whole numbers?

(BENCHMARK QUESTION)

a)

J

b)

H

c)

F

d)

G

40.

$7\ \frac{1}{2}\ and\ 5\ \frac{3}{4}$ Which are correct decimal representations of these mixed numbers?

a)

7.5 and 5.75

b)

7.25 and 5.5

c)

7.5 and 5.25

41.

$7\ \frac{1}{2}\ and\ 5\ \frac{3}{4}$ Which are correct improper fraction representations of these mixed numbers?

a)

$\frac{15}{2}\ and\ \frac{23}{4}$

b)

$\frac{14}{2}\ and\ \frac{20}{4}$

c)

$\frac{15}{7}\ and\ \frac{23}{5}$

42.

Convert this number into an improper fraction?

1\ \frac{1}{8}

a)

$\frac{9}{8}$

b)

$\frac{8}{9}$

c)

$\frac{8}{10}$

43.

How would you write .35 as a fraction?

a)

$\frac{35}{100}=\frac{7}{20}$

b)

$\frac{35}{100}=\ \frac{5}{20}$

44.

How would you write .8 as a fraction?

a)

$\frac{4}{5}$

b)

$\frac{8}{10}$

45.

Bertha placed 4 red counters and 16 blue counters into a bag. She plans to draw a counter from the bag, record the color, and place the counter back into the bag before drawing again. The outcomes of the first 60 trials are shown in the table.
Explain the table;

a)

Red 15 + Blue 45 = total 60 Trials

b)

Red 4 + Blue 16 = total 20 Trials

46.

Bertha placed 4 red counters and 16 blue counters into a bag. She plans to draw a counter from the bag, record the color, and place the counter back into the bag before drawing again. The outcomes of the first 60 trials are shown in the table.
What is the probability of Red in the 60 outcomes?

a)

15/60

b)

45/60

47.

Bertha placed 4 red counters and 16 blue counters into a bag. She plans to draw a counter from the bag, record the color, and place the counter back into the bag before drawing again. The outcomes of the first 60 trials are shown in the table.
What is the probability of Blue in the 60 outcomes?

a)

15/60

b)

45/60

48.

Manuela surveyed customers at a cupcake shop to find out their favorite flavor. The results of the survey for the top four flavors are shown on the table.

Is the statement True or False?

"The person’s favorite flavor is 2 times more likely to be red velvet as pumpkin"

Clue: 12 is 2 times 6

a)

True

b)

False

49.

Manuela surveyed customers at a cupcake shop to find out their favorite flavor. The results of the survey for the top four flavors are shown on the table.

Is the statement True or False?

"The person’s favorite flavor is 2.5 times as likely to be vanilla as Pumpkin"

Clue: 15 is 2.5 times 6

a)

True

b)

False

50.

Manuela surveyed customers at a cupcake shop to find out their favorite flavor. The results of the survey for the top four flavors are shown on the table. (BENCHMARK QUESTION)

If one of the customers is chosen at random, which of the following predictions is NOT supported by the data in the table? Clue: NOT supported, so choose FALSE.

A) The person’s favorite flavor is not equally likely to be red velvet as vanilla

B) The person’s favorite flavor is least likely to be chocolate

C) The person’s favorite flavor is 2.5 times as likely to be vanilla as Pumpkin

D) The person’s favorite flavor is 2 times more likely to be red velvet as pumpkin

a)

A

b)

B

c)

C

d)

D

51.

On Saturday, Hallie purchased 4 items for redoing her bedroom. She spent $85.43 on wallpaper, $21.72 on paint, $7.84 on brushes and $9.89 for stencils. Taxes on her bill was $8.99. What is the total amount the cashier rang up for Hallie? (INTERIM)

a)

$133.87

b)

$142.88

c)

$240.21

d)

$124.88

52.

The table shows Lauren's net worth. Assets are shown as positive numbers and liabilities are shown as negative numbers.

If Lauren owes $82,900 on her credit cards, what is Lauren's net worth? (BENCHMARK)

a)

$97380

b)

$14800

c)

$105880

d)

$82500

53.

Ryan and his mother are making new curtains for his room. They need 5 ¾ yards of material for each of the 2 smaller windows and 7 ½ yards for each of the 2 larger windows. How many yards of material do they need for the 4 windows? (BENCHMARK)

a)

$13\ \frac{1}{4}$

b)

$26\ \frac{1}{2}$

c)

$25\ \frac{1}{2}$

d)

$17\ \frac{1}{4}$

First Unit Review

Total questions: 53

Worksheet time: 27mins

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