Free Printable Number system

1.

a)

Repeating Decimal

b)

Non-Repeating Decimal

c)

Terminating Decimal

2.

a)

Repeating Decimal

b)

Non-Repeating Decimal

c)

Terminating Decimal

3.

A number that when written as decimal, either stops or repeats in a pattern.

a)

Rational Number

b)

Irrational Number

c)

Terminating Decimals

d)

Repeating Decimals

4.

A number that when written as a decimal does not end and never repeats. It can never be written as fraction and cannot be written as quotient of two integers.

a)

Rational Numbers

b)

Irrational Numbers

c)

Terminating Decimals

d)

Repeating Decimals

5.

A decimal that ends is called?

a)

Repeating Decimals

b)

Terminating Decimals

c)

Non-repeating Decimals

d)

Rational Numbers

6.

Have a finite number of digits or numbers which come to an end after the decimal point.

a)

Irrational Numbers

b)

Rational Numbers

c)

Repeating Decimals

d)

Terminating Decimal

7.

A decimal number that continues endlessly with no group of digits repeated.

a)

Rational Numbers

b)

Repeating Decimals

c)

Non-terminating Decimals

d)

Irrational Numbers

8.

What do you call the horizontal line placed over an expression to show that everything below the line is one group?

a)

Vynculum

b)

Vinculum

c)

Vincyulum

d)

Vinkulum

9.

-6

a)

RATIONAL

b)

IRRATIONAL

10.

$\sqrt{36}$

a)

RATIONAL

b)

IRRATIONAL

11.

$\sqrt{3}$

a)

RATIONAL

b)

IRRATIONAL

12.

9\div40

a)

TERMINATING DECIMAL

b)

REPEATING/NONTERMINATING DECIMAL

13.

If the remainder is 0 we call the decimal ...

a)

Finished

b)

Terminating

c)

Repeating

d)

Cyclical

14.

0.444444444... is a repeating decimal.

a)

True

b)

False

15.

Identify the repeating decimals.
I. –0. $\overline{353}$
II. 3.611
III –1.35555...
IV. 2.15
V. 7.7770

a)

I and III

b)

I, III, V

c)

II

d)

I

16.

What is 2 divided by 3 as a decimal

a)

.66.... terminating

b)

.66..... repeating

c)

.6 repeating

d)

.6 terminating

17.

0.121212...

a)

Terminating Decimal

b)

Non-Terminating Decimal

18.

0.43333...

Where should I put the bar notation?

a)

0

b)

4

c)

3

d)

43

19.

0.567777...

Where should I put the bar notation?

a)

5

b)

67

c)

7

d)

567

20.

Is this a terminating decimal?

$\frac{1}{2}$

a)

b)

21.

What is true about irrational numbers?

a)

They are terminating decimals.

b)

They are non-repeating decimals.

c)

They are fractions.

d)

They are natural numbers.

22.

Which decimal appears to be a rational number?

a)

2.14285714285714...

b)

3.14159265358979...

c)

4.79583152331272...

d)

5.56776436283002...

23.

The value of π cannot be written as the ratio of two integers. Which statement is true?

a)

π is a rational number.

b)

π is an irrational number.

c)

The decimal expansion of π terminates.

d)

The decimal expansion of π repeats.

24.

What type of number is π ?

a)

Rational

b)

Irrational

25.

What is a rational number ?

a)

A rational number is a number that cannot be written as a fraction.

b)

A rational number is a number that can be written as a fraction.

c)

A rational number cannot be a repeating decimal.

26.

4 x 5 - 2 + 4

a)

14

b)

16

c)

22

d)

28

27.

3 + (8 - 4) x 2 x 7

a)

98

b)

59

c)

31

28.

(9 + 4) x 2 + 3

a)

29

b)

65

c)

18

29.

2 x ( 3 ² x 5 ) - 5

a)

90

b)

85

c)

55

d)

80

30.

9 + 5 - 6 x 2

a)

2

b)

16

c)

26

d)

20

31.

(3 x 4) $\div$ (6 - 4)

a)

0

b)

22

c)

6

32.

(4 + 8 $\div$ 2 - 6) x 10

a)

20

b)

0

c)

30

33.

10 - 6 x 5 $\div$ (2+4)

a)

14

b)

3.33

c)

5

34.

7 + 10 x (2 + 5)

a)

119

b)

77

c)

32

35.

7 + 2 x 5 x 4

a)

180

b)

47

c)

68

36.

What would you do first in the following equation?

10 - 4 x (1 + 5) =

a)

subtraction

b)

brackets

c)

multiplication

d)

division

37.

Evaluate $782\div34+46\times31.$

a)

1449

b)

4816

c)

303

d)

826

38.

Calculate $13\times\left(26-18\right)$

a)

8

b)

18

c)

104

d)

320

39.

Calculate $63\div\left(48-39\right)+34-4\times7$

a)

13

b)

23

c)

33

d)

43

40.

Find value of:-

2+2-2÷2×2 =

a)

4

b)

6

c)

2

d)

0

41.

Find value of:-

4+2-15÷3×1 =

a)

1

b)

6

c)

2

d)

0

42.

Find value of:-

(2÷2) × 2 - 2 + 2 =

a)

2

b)

4

c)

6

d)

-1

43.

Find value of:-

(2÷2) × (2 + 2 - 2)=

a)

2

b)

4

c)

6

d)

8

44.

In 'BODMAS' 'O' stands for..

a)

other operation

b)

Of

c)

On

d)

Opposite

45.

If there is no sign for operation between bracket and number ,we have to.......

a)

multiply it.

b)

divide it.

c)

add it.

d)

subtract it.

46.

A car has 4 wheels and 1 wheel as spare. How many total wheels are there in 6 cars ?

a)

4+1+6

b)

4+(1+6)

c)

6×(4+1)

d)

(6+1)×4

47.

Mohan has Rs100 .He wants to buy 5 pencils.The cost of 1 pencil is Rs 6. How much money will left with him after the purchase?

a)

(100 -5)×1×6

b)

100 - ( 5×6 )

c)

5 × 6 + 1 - 100

d)

100 - 5 × (6-1)

48.

Find value of:-

(5×5) - (5 +5) ÷5=

a)

25

b)

20

c)

23

d)

0

49.

Find value of:-

2 - 2 -2 +2 +2 =

a)

1

b)

2

c)

4

d)

0

50.

Find value of:-

(2-2 ) +(2+2 ) + ( 2÷2)+(2×2) =

a)

10

b)

7

c)

9

d)

8

51.

Solve it

a)

64

b)

63

c)

65

d)

62

52.

Which operation would you do first in the following equation?
10 - 4 ÷ 1 · 5

a)

Subtraction

b)

Division

c)

Multiplication

d)

Addition

53.

Find $28\left(12+28\right)\div\left(62-46\right)$

a)

-45

b)

-70

c)

23

d)

70

54.

Which operation would you do first?

( 12 + 10) ÷ 10 x 14 - 6

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

55.

72 ÷ (56 ÷ 7) x 6 =

a)

45

b)

54

c)

65

d)

56

56.

Which operation should be performed first:

6 - 4 / 2 x 5 + 7

a)

subtraction

b)

addition

c)

multiplication

d)

division

57.

True or False: The order in which you solve does not matter when doing BODMAS.

a)

True

b)

False

58.

$10-2\ +6\div3\ \times\left(7+8\right)$

a)

65.5

b)

150

c)

38

59.

[{(4+2)×2}–{(8÷2×3}]

(a)

60.

[(810÷9)+10]÷10–(3×2)

(a)

61.

[{20+(10×3–15)}+40÷8]–20

(a)

62.

(21–5)÷(2×4)

(a)

63.

12÷3×(5–2)

(a)

64.

36÷6+3×2

(a)

65.

[7 + (18 ÷ 9)] + 3

(a)

66.

16 ÷ [2 + (42 ÷ 7)]

(a)

67.

What is the full form of BODMAS?

a)

Bracket, Of, Division,Multiplication,Addition,Subtraction

b)

Bracket,On,Dividie,Mouse,Add,Sub

c)

Bent,Od,Div,Mut,Ad,Su

d)

Brac,Or,Diuy,Muit,Are,Sre

68.

Choose the correct answer: 25/25*25+25-25

a)

25

b)

24

c)

23

d)

22

69.

What are the two families in BODMAS AND DMAS?

a)

Add,Subtract and Multiply,Divide

b)

Bracket,Of Add,Divide

c)

Add,Multiply Divide,Subtract

d)

Bracket,Add Of,Subtract

70.

True or False: BODMAS and DMAS are related.

a)

True

b)

False

71.

Solve these two questions and type your answers below write number and write number names in () brackets

(a)

72.

Select ALL calculations which are correct.

a)

$3\ +\ 2\ \times4\ +5\ =25$

b)

$\left(3\ +2\right)\ \times4+5\ =25$

c)

$\left(3\ +\ 2\right)\ \times6\ -\ 1\ =\ 25$

d)

$\left(3\ +2\right)\ \times\left(6\ -\ 1\right)=25$

73.

160/16 +12 /12 =

a)

9

b)

10

c)

11

d)

12

74.

5²- 2 x 3

(a)

75.

(12 -3) $^2$ - 400 $\div$ 8

(a)

76.

(32.11+9.17) $\div$ 6

(a)

77.

Hannah is trying the following question

4.2 x 5 - (8 $\div$ 4) $^2$ .

Hannah thinks the answer is 17, is she correct.

a)

Yes, she is correct.

b)

No, the answer is 2.64.

c)

No, the answer is 22.

d)

No, the answer is 5.

78.

Jennifer attempts the following question,

32.4 - 7.7 x 2 $^2$ .
She thinks the answer is 98.8, is she correct?

a)

Yes, she is correct.

b)

No, the answer is 1.6

c)

No, the answer is 18.2

d)

No, the answer is 44.5

79.

Ryan attempts the following question,

19.5 + 8.5 x 3 - (19 - 5.9).

He thinks the answer is 59.1, is he correct?

a)

Yes, he is correct.

b)

No, the correct answer is 70.9

c)

No, the correct answer is 44.1

d)

No, the correct answer is 31.9

80.

Solve the sum using BODMAS

6 + 2 ( 4 X 5) + 8-2

a)

160

b)

166

c)

155

d)

NONE OF THE ABOVE

81.

What is the value of 5 × 3 - 12 ÷ 4 + 8 ?

a)

3

b)

4

c)

14

d)

20

82.

39 - 6 x (7 - 2) + 3²

a)

18

b)

30

c)

139

d)

384

83.

What is the divisibility rule for 4?

a)

The last two digits form a number divisible by 4

b)

The last digit is a number divisible by 4

c)

The last digit is even

d)

The last digit is zero

84.

What is the divisibility rule for 5?

a)

It is divisible by 2 and 3

b)

The last digit is a five

c)

The last digit is five or zero

d)

The last digit is zero

85.

Which of the following statements is true of this number?

a)

It is divisible by 3 and 9

b)

It is divisible by 2, 3, and 6

c)

It is divisible by 3

d)

It is prime

86.

What is the divisibility rule of 3?

a)

The sum of the digits is a number divisible by 3

b)

The last digit is a 3

c)

The last two digits form a number divisible by 3

d)

The last digit is zero

87.

What is the divisibility rule for 10?

a)

It is divisible by 2 and 3

b)

The last digit is a five

c)

The last digit is five or zero

d)

The last digit is zero

88.

Which of the following statements is true of this number?

a)

It is divisible by 2, 6, and 9

b)

It is divisible by 3 and 9

c)

It is divisible by 3

d)

It is prime

89.

Which of the following statements is true of this number?

a)

It is divisible by 2, 5 and 10

b)

It is divisible by 10

c)

It is divisible by 2, 3, 5, 6, 9, and 10

d)

It is divisible by 3 and 5

90.

What is the divisibility rule of 9?

a)

The sum of the digits is a number divisible by 3

b)

The sum of the digits is a number divisible by 9

c)

The last two digits form a number divisible by 3

d)

The last digit is zero

91.

What is the divisibility rule of 9?

a)

The sum of the digits is a number divisible by 3

b)

The sum of the digits is a number divisible by 9

c)

The last two digits form a number divisible by 3

d)

The last digit is zero

92.

What is the divisibility rule for 6?

a)

It is divisible by 2 and 3

b)

It is divisible by 3 and 4

c)

It is divisible by 2 and 4

d)

The last digit is zero

93.

What is the divisibility rule of 2?

a)

The sum of the digits equals a number divisible by 2

b)

The last digit is 0

c)

The last two digits form a number that is divisible by 2

d)

The last digit is even

94.

Which of the following statements is true of this number?

a)

It is divisible by 2, 3, 4, 6, and 9

b)

It is divisible by 2, 3, 6, and 9

c)

It is divisible by 2, 3, 4, and 6

d)

It is divisible by 2, 4, and 9

95.

Which of the following is an even number?

a)

1

b)

9

c)

4

d)

5

96.

Which of the following numbers is NOT divisible by 4?

a)

1000

b)

1566

c)

5740

d)

2024

97.

105 is NOT divisible by which number?

a)

1

b)

2

c)

3

d)

5

98.

True or False. The number 9581 is divisible by 11.

a)

True

b)

False

99.

True or False. The number 473 is divisible by 11.

a)

True

b)

False

100.

True or False. The number 1947 is divisible by 11.

a)

True

b)

False

101.

Which number is divisible by 11?

a)

98,517

b)

79,829

c)

82,709

d)

50,453

102.

Which number is divisible by 11?

a)

6,004

b)

7,325

c)

8,404

d)

9,671

103.

True or False...
40,500 is divisible by 6

a)

True

b)

False

104.

Insert the correct digit to make the following number divisible by 3.
60__2

a)

1

b)

2

c)

3

d)

5

105.

Only odd numbers can be divided evenly by 5.

a)

true

b)

false

106.

Which number is divisble by 11?

a)

13,365

b)

5,061

c)

41,081

107.

1. Which of the following numbers is divisible by 8?

a)

a. 542

b)

b. 832

c)

c. 658

d)

d. 108

108.

2. Which statement supports the divisibility rule for number 11?

a)

a. If the difference of the digits at alternate place values is divisible by 11.

b)

b. If the difference of the sums of the digits at alternate place values is divisible by 11

c)

c. If the sum of the difference of the digits at alternate place values is divisible by 11

d)

d. Both b and c.

109.

3. Which number is NOT divisible by 4?

a)

a. 360

b)

b. 218

c)

c. 208

d)

d. 124

110.

5.Which of the following is a number divisible by 4 but not by 8?

a)

a. 1236

b)

b. 6312

c)

c. 2344

d)

d. 1632

111.

6. What is the smallest number divisible by 11 between 300 - 500?

a)

a. 330

b)

b. 320

c)

c. 340

d)

d. 350

112.

8. Which of the following is a true statement?

a)

a. If a number is divisible by 4 it is also divisible by 2.

b)

b. Any number divisible by 4 is also divisible by 8.

c)

c. A number is divisible by 12 if the sum of the digits are divisible by 3 and 4.

d)

d. None of the above.

113.

10. The average of 6 numbers is 66. If 75 and 89 are added to the 6 numbers, what is the new average?

a)

a. 70

b)

b. 76

c)

c. 72

d)

d. 74

114.

10. The average of 6 numbers is 66. If 75 and 89 are added to the 6 numbers, what is the new average?

a)

a. 70

b)

b. 76

c)

c. 72

d)

d. 74

115.

Is 5632 divisible by 11?

a)

b)

116.

Is 1456 divisible by 8?

a)

b)

117.

Is 3532 divisible by 12?

a)

b)

118.

Is 9537 divisible by 11?

a)

b)

119.

252 is divisible by 9 because:

a)

The number is divisible by 2 and 3

b)

The sum of the digits is a multiple of 9.

c)

The sum of the digits is a multiple of 3

d)

The sum of the digits is even.

120.

109816 is divisible of what number?

a)

2

b)

8

c)

5

d)

11

121.

A number is divisible by 6 if the number is divisible by

(a)

122.

How do you know if a number is divisible by 12?

a)

The sum of the digits must be a multiple of 12

b)

If it ends in 3, 6, or 9

c)

If it is divisible by 3 and 4

d)

If it is divisible by 2 or 3

123.

Name the factors of 21.

a)

1, 3, 7, 21

b)

3, 7

c)

1, 21

d)

1, 2, 7, 21

124.

Name the factors of 27.

a)

1, 3, 9, 27

b)

3, 9

c)

1, 27

d)

1, 2, 3, 27

125.

Name the factors of 72.

a)

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

b)

1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 18, 24, 36, 72

126.

Name the factors of 49.

a)

1, 7, 49

b)

7

c)

1, 7, 59

d)

1, 7, 48

127.

Name the factors of 32.

a)

1, 2, 4, 8, 16, 32

b)

2, 4, 8, 16

c)

1, 2, 3, 8, 16, 32

d)

1, 2, 4, 8, 16, 23

128.

Which number is divisible by 2, 5, and 10?

a)

1 234 567

b)

872 890

c)

574

129.

Which number is divisible by 2,3,4,5,6,8,9, and 10

a)

2 520

b)

765 894

c)

820

130.

What is a prime factor?

a)

A number that can only be divided by one

b)

2 or more numbers that are divisors of a number and can not be divided by another number making it smaller

c)

a tree like image filled with numbers

131.

What is the divisibility rule for 1

a)

It has to be an even number

b)

Every number is divisible by 1

c)

Add up all of the digits and if it is divisible by 1 then the whole number is.

132.

What happens when you divide by 0

a)

Calculator turns off

b)

0 appears

c)

it is undefined

133.

What number is divisible by 8 and 9

a)

288

b)

3,356

c)

124

134.

Is 60,714 divisible by 3?

a)

Yes

b)

No

135.

In divisibility by 7 rule #1 what is the place value you need to multiply by 2?

a)

the first digit in the left

b)

the highest place value

c)

ones

d)

hundreds

136.

What condition you should consider to check if the number is divisible by 12?

a)

divisible by 2 and 6

b)

if the sum of the digits are divisible by 12

c)

if the last 3 digit is divisible by 12

d)

divisible by 3 and 4

137.

in 63_4, what is the least digit should be on the blank to make it divisible by 12?

a)

2

b)

1

c)

6

d)

0

Number system

Total questions: 137

Worksheet time: 2hrs 17mins

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