Free Printable Reviewer in MATH 7

1.

What do you call the illustration used to represent the relationships between sets?

a)

Circle Graph

b)

Venn Diagram

c)

Pie Chart

d)

Circle Diagram

2.

What operation is being shown by the shaded region?

a)

$A-B$

b)

$A'$

c)

$A\cup B$

d)

$A\cap B$

3.

What operation is being shown by the shaded region?

a)

$A\ -\ B$

b)

$B'$

c)

$A\cup B$

d)

$A\cap B$

4.

What is U = ?

a)

{6, 14, 20}

b)

{2, 4, 8, 10, 12, 16, 18}

c)

{2, 4, 6, 8, 10, 12, 14, 16, 20}

d)

{2, 4, 6, 8, 10, 12, 14, 16, 18, 20}

5.

What is B - A = ?

a)

{2, 4, 12}

b)

{8, 10, 16}

c)

{6, 14, 20}

d)

{18}

6.

What is B' = ?

a)

{2, 4, 12, 18}

b)

{8, 10, 16, 18}

c)

{6, 14, 18, 20}

d)

{18}

7.

What is (A U B)' = ?

a)

{2, 4, 12, 18}

b)

{8, 10, 16, 18}

c)

{6, 14, 18, 20}

d)

{18}

8.

The Universal Set = { -4, -3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.

What is the complement of A?

a)

{-4, -3, -2, -1, 0, 1, 2, 3}

b)

{-3, -2, -1, 1, 2, 3}

c)

{-4, -3, -2, -1, 1, 2, 3, 4}

d)

{-4, -3, -2, -1, 1, 2, 3}

9.

The Venn diagram for $A\cup B$ is represented in green as

a)

b)

c)

d)

10.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

11.

Given the sets
A = {2, 3, 4, 5} and B = {2, 4, 5, 6}

What is $A\cup B$ ?

a)

{2, 4, 5}

b)

{2, 3, 4, 5, 6}

c)

{3}

d)

{6}

12.

Given the sets
A = {a, b, c, d, e} and B = {a, c, d, f}

What is $A\ \cap\ B$ ?

a)

{a, c, d}

b)

{a, b, c,d e, f}

c)

{b, e}

d)

{f}

13.

Given the sets
U = {a, b, c, d, e, f, g, h, i, j}
A = {a, c, e, g, i} and B = {b, c, d, e, f}

What is $B'$ ?

a)

{a, b, c, d, e, f, g, i}

b)

{b, d, f, h}

c)

{a, g, h, i, j}

d)

{c, e}

14.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

15.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

16.

The Universal Set = { -4, -3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.

What is the complement of A?

a)

{-4, -3, -2, -1, 0, 1, 2, 3}

b)

{-3, -2, -1, 1, 2, 3}

c)

{-4, -3, -2, -1, 1, 2, 3, 4}

d)

{-4, -3, -2, -1, 1, 2, 3}

17.

It is an operation on sets that contains elements that are common to both sets.

a)

Complement of a Set

b)

Difference of Two Sets

c)

Intersection of Sets

d)

Union Sets

18.

What does this symbol ( ∩ ) represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

19.

What does this symbol ( ∪ ) represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

20.

What is the cardinal of the set, H = {w, o, n, d, e, r, f, u, l}

a)

10

b)

9

c)

8

d)

7

21.

It is an operation on sets that contains all elements of both sets without repeating element/s.

a)

Complement of a Set

b)

Difference of Two Sets

c)

Intersection of Sets

d)

Union Sets

22.

It is an operation on sets that contains elements belong to set A, but do not belong to set B.

a)

Complement of a Set

b)

Difference of Two Sets

c)

Intersection of Sets

d)

Union Sets

23.

Given the sets
A = {2, 4, 6, 8} and B = {3, 4, 5, 6, 7}

What is $B\ -\ A$ ?

a)

{2, 3, 4, 5, 6, 7, 8}

b)

{4, 6}

c)

{8}

d)

{3, 5, 7}

24.

if U = { red, blue, green, yellow, purple}

A = {red, blue,yellow}

what is A'?

a)

A' = {green, purple}

b)

A' = {purple}

c)

A' = {blue, red, purple}

d)

A' = {red, blue green}

25.

Given P = {apple, orange, banana, mango} and
Q = {orange, mango, watermelon}, what is P

\cup

Q?

a)

P $\cup$ Q = {apple, orange, banana, mango}

b)

P $\cup$ Q = {apple, orange, banana}

c)

P $\cup$ Q =

d)

P $\cup$ Q = {apple, orange, banana, mango, watermelon}

26.

Which of the following operations on sets describes the given Venn Diagram?

a)

$A\ \cup\ B$

b)

$A\ \cap\ B$

c)

$A\ -\ B$

d)

$A'$

27.

Given the sets
A = {a, b, c, d, e} and B = {a, c, d, f}

What is $A\ \cap\ B$ ?

a)

{a, c, d}

b)

{a, b, c,d e, f}

c)

{b, e}

d)

{f}

28.

Given the sets
U = {a, b, c, d, e, f, g, h, i, j}
A = {a, c, e, g, i} and B = {b, c, d, e, f}

What is $B'$ ?

a)

{a, b, c, d, e, f, g, i}

b)

{b, d, f, h}

c)

{a, g, h, i, j}

d)

{c, e}

29.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

30.

The Universal Set = { -4, -3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.

What is the complement of A?

a)

{-4, -3, -2, -1, 0, 1, 2, 3}

b)

{-3, -2, -1, 1, 2, 3}

c)

{-4, -3, -2, -1, 1, 2, 3, 4}

d)

{-4, -3, -2, -1, 1, 2, 3}

31.

Given the universal set, ξ = {2, 3, 4, 5, 6, 7, 8, 9, 10}. Set P={3,5,7,9}, Set Q={2,3,5,7} and Set R ={2,4,6,8,10}. List all the elements of (P∩Q)'.

a)

{5,7}

b)

{2,4,6,8,10}

c)

{2,4,6,8,9,10}

d)

{2,9}

32.

From a group of students, there are 21 students who like swimming, 24 students who like badminton, and 15 students like them both. If there is no students who do not like swimming or badminton. How many students are in the group?

a)

30

b)

50

c)

40

d)

60

33.

From 40 students, it is known: 30 students like mathematics, 28 students like physics, and 20 students like both of them. How many students like neither maths nor physics?

a)

10

b)

5

c)

8

d)

2

34.

From 30 girls, it is known that 12 girls love sewing, 18 girls love cooking, and 7 girls like neither sewing nor cooking. How many girls who like sewing and cooking?

a)

5

b)

11

c)

7

d)

15

35.

A school has a sport contingent consisting of 20 people. There are 15 members of soccer team and 8 members of volley team. How many participants who are the members of both soccer and volley teams?

a)

1

b)

3

c)

2

d)

4

36.

What is another name for the counting numbers?

a)

Basic

b)

Natural

c)

Obvious

d)

Easy

37.

A rational number _____ be written as a fraction. If it is written as a decimal, the decimal ________ or _______ .

a)

Cannot; never terminates; never repeats.

b)

Cannot; terminates; repeats

c)

Can; terminates; repeats

d)

Can; terminates; never repeats

38.

Irrational numbers _______ be written as fractions. If they are written as decimals, the decimals ________ and _______ .

a)

Cannot; never terminate; never repeat

b)

Cannot; terminate; never repeat

c)

Can; terminate; repeat

d)

Can; never terminate; repeat

39.

Whole numbers are the natural numbers and _____.

a)

Negative numbers

b)

Fractions

c)

Zero

d)

Non-terminating decimals

40.

What set do the numbers 0, 95, and √144 belong to?

a)

Natural

b)

Integer

c)

Whole

d)

Rational

41.

Which of the following numbers is NOT an integer?

a)

- √36

b)

0

c)

8/4

d)

-0.15

42.

Which list shows only natural numbers?

a)

0, 1, 2, 3, 4, ...

b)

1, 2, 3, 4, ...

c)

-3, -2, -1, 0, 1, 2, 3, ...

d)

All numbers are natural numbers

43.

To which of the following sets of numbers does √196 belong?

I. Natural Numbers

II. Integers

III. Rational Numbers

IV. Irrational Numbers

a)

I only

b)

I, II, and III only

c)

III only

d)

IV only

44.

True or False: If a number is classified as an integer, it must also be a whole number.

a)

True

b)

False

45.

True or False: The set of irrational numbers is a subset of rational numbers.

a)

True

b)

False

46.

True or False: Every natural number (aka counting number) is an integer.

a)

True

b)

False

47.

True or False: Every whole number is a rational number.

a)

True

b)

False

48.

Find the opposite of -6

a)

-6

b)

+6

c)

none

49.

Find the opposite of 0

a)

+0

b)

-0

c)

none

50.

Find the opposite of 150

a)

150

b)

-150

c)

+150

51.

Find the opposite of -32

a)

-32

b)

32

c)

+32

52.

Compare -35 ___ -17

a)

>

b)

<

c)

=

53.

Compare 9 ___ -90

a)

<

b)

>

c)

=

54.

Compare -20 ___ 0

a)

<

b)

>

c)

=

55.

Compare 20 ___ 0

a)

<

b)

>

c)

=

56.

Compare 1 ___ +1

a)

<

b)

>

c)

=

57.

Find $\left|-25\right|$

a)

-25

b)

25

c)

$\left|25\right|$

58.

Find $\left|-15\right|$

a)

15

b)

-15

c)

$\left|15\right|$

59.

Find $\left|0\right|$

a)

+0

b)

0

c)

-0

60.

Find - $\left|3\right|$

a)

3

b)

$\left|3\right|$

c)

-3

61.

Find $\left|999\right|$

a)

-999

b)

999

c)

+999

62.

Set of numbers ordered from least to greatest

a)

{-1, -2, -8, 8 , 3}

b)

{-8, -1, -2, 3, 8}

c)

{-8, -2, -1, 3, 8}

63.

Set of numbers ordered from least to greatest

a)

{-20, 0, -18, -35, 2}

b)

{0, 2, -18, -20, -35}

c)

{-35, -20, -18, 0, 2}

64.

Set of numbers ordered from greatest to least

a)

{40, 12, -10, -19, -30}

b)

{40, -30, 12, -10, -19}

c)

{-30, -19, -10, 12, 40}

65.

Set of numbers ordered from greatest to least

a)

{99, 98, 96, -93, -94}

b)

{99, 98, 96, -94, -93}

c)

{-94, -93, 99, 98, 96}

66.

Identify each solution as rational or irrational.

$\frac{4}{7}+-\frac{1}{3}$

a)

Rational

b)

Irrational

67.

The product of two irrational numbers is always an irrational number.

a)

Always True

b)

Sometimes True

c)

Never True

68.

Choose the best description of the number 10.5

a)

real and whole

b)

real and irrational

c)

real and rational

d)

real and integer

69.

The difference of two rational numbers is always a rational number.

a)

Always True

b)

Sometimes True

c)

Never True

70.

The product of a irrational and an rational number is always rational.

a)

Always True

b)

Sometimes True

c)

Never True

71.

An integer is a whole number.

a)

Always True

b)

Sometimes True

c)

Never True

72.

A natural number is a rational number.

a)

Always True

b)

Sometimes True

c)

Never True

73.

An irrational number is an integer.

a)

Always True

b)

Sometimes True

c)

Never True

74.

The sum of a rational and irrational number is always irrational.

a)

Always True

b)

Sometimes True

c)

Never True

75.

An irrational number multiplied by 0 will result in an irrational number.

a)

Always True

b)

Sometimes True

c)

Never True

76.

Identify the solution as rational or irrational.

$\sqrt[]{4}\times\frac{2}{5}$

a)

Rational

b)

Irrational

77.

Choose the best description of the number 0

a)

Real, whole, integer, rational

b)

real and irrational

c)

real and rational

d)

real and natural

78.

Choose the best description of the number $\sqrt[]{2}$ .

a)

Real and irrational

b)

Real and rational

c)

Real and integer

d)

Real and whole

79.

Choose the best description of the number -29.

a)

Real and irrational

b)

Real and integer

c)

Real and natural

d)

Real and whole

80.

Which is the best description of a rational number?

a)

A number that is a whole number.

b)

A number that can be written as a fraction.

c)

A number that cannot be written as a fraction.

d)

A number that is a natural number.

81.

Which is the best description of an irrational number?

a)

A number that is an integer.

b)

any number other than zero.

c)

A number that can be written as a fraction.

d)

A number that cannot be written as a fraction.

82.

Which sum will result in an irrational number?

a)

$3+8$

b)

$\sqrt[]{7}+9$

c)

$\frac{1}{7}+\frac{2}{5}$

d)

$\frac{8}{9}+\frac{3}{8}$

83.

Which product will result in a rational number?

a)

$\pi\times\frac{4}{5}$

b)

$\frac{\sqrt[]{3}}{5}\left(\frac{2}{3}\right)$

c)

$\pi\times\frac{1}{\pi}$

d)

$\sqrt[]{7}\left(\pi\right)$

84.

Solve for x
l 4x−3 l = 17

a)

x = 5 and x =-3.5

b)

x = 0 and x = -5

c)

x = 10 and x = -10

d)

No Solution

85.

Solve for x
l x−6 l + 4= 10

a)

x = 12 and x = 0

b)

x = 3 and x = -3

c)

x = -12 and x = 0

d)

No Solution

86.

−2|−2r − 4| = -12

a)

{3,1}

b)

{-5,1}

c)

{-3}

d)

No Solution

87.

|8 - 4x| = 16

a)

x = -2, x = -6

b)

x = 2 , x = 24

c)

x = -2, x = 6

d)

No Solution

88.

Evaluate each expression.
| x + 9 | = -5

a)

-14

b)

-4

c)

{-14, -4}

d)

no solution

89.

Solve |x – 12| - 3 = 11.

a)

-2, -26

b)

-2, 26

c)

3, 25

d)

4, -7

90.

Solve for x
2 lx−4l+8=18

a)

x = 9 and x =-1

b)

x = 1 and x = -9

c)

x= 4 and x = -2

d)

No Solution

91.

Solve the following equation:

|−2n| + 10 = −50

a)

{30, −30}

b)

{20, −20}

c)

{−5, 5}

d)

No Solution

92.

Solve the following equation:

|−2n| - 30 = −20

a)

{10, −10}

b)

{20, −20}

c)

{−5, 5}

d)

No Solution

93.

8|-2x + 4| = 96

a)

x = -4, x = 8

b)

x = -4

c)

x = -4, x = -8

d)

x = 4, x = 8

94.

| 3x - 6 | - 9 = -3

a)

No Solution

b)

x = 0 and x = 4

c)

x = 2 and x = -2

d)

x = -4 and x = 4

95.

| 3n + 12 | = 2n

a)

No Solution

b)

n = -12 and n = ^-12/₅

c)

n = -12

d)

n = ^-12/₅

96.

Solve for x
l 2x−1 l = 9

a)

x = 5 and x =-4

b)

x = 5 and x = -5

c)

Only x = 5

d)

No Solution

97.

Solve the following equation:

3| −8x| + 8 = 80

a)

{−7/3, 7/3}

b)

{−3, 3}

c)

{11/3, −11/3}

d)

No Solution

98.

Solve the following equation:

|2x – 3| + 5 = 10.

a)

{−1, 1}

b)

{−1, 4}

c)

{−1, −4}

d)

{1, 4}

99.

12+(-3)

a)

9

b)

-9

c)

15

d)

-15

100.

-4 + 10 + (-2)

a)

-4

b)

4

c)

-16

d)

14

101.

Give the sum: 23 + 100 + (-56) + (-90) + 74

a)

61

b)

41

c)

51

d)

71

102.

Add these integers: 0, -1,-1,-1, 2,-1,2

a)

0

b)

1

c)

-1

d)

2

103.

9 - (-2)

a)

7

b)

-7

c)

11

d)

-11

104.

-15 - (-2)

a)

17

b)

-17

c)

13

d)

-13

105.

-19 - 19

a)

0

b)

36

c)

26

d)

-38

106.

Find the values of $\left(-4\right)\times\left(-5\right)$

a)

$-9$

b)

9

c)

20

d)

$-20$

107.

(-6)(5)

a)

30

b)

-30

108.

Find the value of $2\times\left(-1\right)\times\left(-3\right)$

a)

6

b)

$-6$

c)

$-5$

d)

$5$

109.

(-5)(-6)(-2)

a)

-60

b)

-30

c)

-10

d)

-13

110.

(-25) ÷ (-5)

a)

5

b)

-5

c)

-20

d)

-30

111.

a)

-30

b)

-15

c)

30

d)

15

112.

$Evaluate\ \frac{\left(-4\right)\left(3\right)\left(-2\right)}{-6}$

a)

12

b)

4

c)

-6

d)

-4

113.

$Evaluate\ \frac{-9\left(-3\right)\left(-4\right)}{\left(2\right)\left(-6\right)}$

a)

-9

b)

-8

c)

9

d)

6

Reviewer in MATH 7

Total questions: 113

Worksheet time: 3hrs 42mins

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