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Worksheets

Numbers

Total questions: 90

Worksheet time: 2hrs 12mins

Name
Class
Date
1.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
2.

2 (x + 4)

a)

2x + 4

b)

2x + 8

c)

2x + 6

d)

10x

3.
Simplify the expression:
8(5 + w)
a)
40 + w
b)
40+8w
c)
85 + 8w
d)
13+8w
4.
Simplify the expression
11(9 + d)
a)
99 + d
b)
20 + 9d
c)
20 + d
d)
99+11d
5.
Simplify the expression:
5(p - 6)
a)
5p - 30
b)
5p - 5
c)
p - 30
d)
5p + 11
6.
(b + 8)5
a)
b + 40
b)
5b - 40
c)
5b + 40
d)
5b + 8
7.
Which of the following is equivalent to 5(2x + 6)?
a)
10x + 30
b)
10x + 6
c)
40x
d)
2x + 30
8.
10 - 9 ÷ 3
a)
.33333
b)
1/3
c)
7
d)
-7
9.
25 ÷ 5 x 2 + 3
a)
30
b)
5.5
c)
1.92
d)
13
10.
4 + 7 x 2
a)
22
b)
18
c)
56
d)
13
11.
4(7 + 2) ÷ 3
a)
12
b)
10
c)
3
d)
15
12.
7 + 5 x 22
a)
48
b)
27
c)
576
d)
107
13.
25 ÷ 5 x (2 + 3)
a)
13
b)
1
c)
25
d)
0
14.
(4 x 3 ÷ 6)2 + 5 x 3
a)
19
b)
23
c)
27
d)
54
15.
30 - 92 ÷ 3
a)
3
b)
7
c)
21
d)
24
16.
(1 + 32)2 - 5 + 5 x 3
a)
52
b)
110
c)
266
d)
300
17.

Which of these is the positive number?

a)

2

b)

0

c)

-14

18.

The elevation of New Orleans is -0.3 meters.

What does an elevation of -0.3 meters represent in this situation?

a)

New Orleans is 0.3 meters above sea level.

b)

New Orleans is at sea level.

c)

New Orleans is 0.3 meters below sea level.

19.

Last month, John lost money by selling stocks. His investment income was -$525.

This month, his investment income is $163. What does this mean?

a)

John gained $163 by selling stocks.

b)

John lost $163 by selling stocks.

20.

-36 is greater than -35.

a)

True

b)

False

21.

Which of the following is above sea level?

a)

-368 ft

b)

2,851 ft

22.

A bank uses positive numbers to represent deposits and negative numbers to represent withdrawals.

How would a bank represent a deposit of 126.40 dollars?

a)

126.40 dollars

b)

-126.40 dollars

23.

The left side of this number line is:

a)

Positive.

b)

Negative.

c)

Neither positive nor negative.

24.

Canasta is a card game where negative numbers represent losing points and positive numbers represent gaining points.

How would gaining 12 points be represented?

a)

12 points.

b)

-12 points.

25.

Last month, Lisa's bank statement said that she had money in her account. Her bank balance was $109.32.

This month, Lisa's bank balance is -$87.12. What does this mean?

a)

Lisa overdrew her account by $87.12.

b)

Lisa has $87.12 in her account.

26.

Ascending means which of the following:

a)

Greatest to least.

b)

Stays the same.

c)

Least to greatest.

27.

Which of these is the positive number?

a)

2

b)

0

c)

-14

28.
√81
a)
9
b)
10
c)
8
d)
6
29.
√100
a)
15
b)
10
c)
11
d)
12
30.
√4
a)
3
b)
4
c)
2
d)
1
31.
√16
a)
4
b)
8
c)
2
d)
9
32.
√64
a)
3
b)
8
c)
7
d)
6
33.
√49
a)
5
b)
3
c)
6
d)
7
34.
√9
a)
3
b)
6
c)
4
d)
1
35.
Simplify 40
a)
1
b)
4
c)
0
36.
Write 53  in long form
a)
125
b)
5 x 5 x 5 
c)
53
37.
Write 12 x 12 x 12 x 12 x 12 x 12 x 12 in index form
a)
126
b)
127
c)
128
d)
125
38.
Write 62 x 63 as a single power
a)
7776
b)
66
c)
65
d)
365
39.
Evaluate 43
a)
64
b)
4 x 4 x 4 
c)
12
d)
8
40.
Evaluate 64
a)
216
b)
24
c)
1296
d)
6 x 6 x 6 x 6 
41.
Evaluate 23 + 32
a)
72
b)
36
c)
12
d)
17
42.

What is the missing number?


6 + ____ = 7 + 6

a)

4

b)

13

c)

7

d)

9

43.

5 + 9 = 14, so 9 + 5 =

a)

11

b)

14

c)

15

d)

16

44.

Which one of the following illustrates the Commutative Law of Addition?

a)

5 + 7 = 7 + 5

b)

5 + 7 = 4 + 8

c)

5 + 7 = 3 + 9

d)

5 + 7 = 10 + 2

45.
9 x 2 = 2 x 9
a)
Commutative Property of Multiplication
b)
Associative Property of Multiplication
c)
Multiplicative Inverse Property
d)
Distributive Property
46.

What is the expanded notation of 27 432

a)

30 000 + 7000 +400 +30 +2

b)

2 000 +700 +40 +2

c)

20 000 +7000 +400 + 30 + 2

47.

what is the value of 42 ?

a)

16

b)

8

c)

4

d)

25

48.

How would you right 8 in index notation?

a)

22

b)

23

c)

21

d)

24

49.

What is the value of 400 000+20 000+3 000+5

a)

423 005

b)

42 305

c)

420 005

d)

423 015

50.

What is the value of 33?

a)

9

b)

21

c)

27

d)

36

51.

How is 267 054 written in expanded form?

a)

20 000+60 000+7 000+50+4

b)

50+4+200 000+ 7 000+ 60 000

c)

200 000+ 70 000+6 000+50+4

d)

200 000+60 000+7 000+ 50 +4

52.

What is the value of 82

a)

16

b)

81

c)

64

d)

10

53.

10 000+ 1 000 000+ 500+ 50+5, what is the number?

a)

100 555

b)

1 100 555

c)

1 010 555

d)

110 555

54.

The expanded notation for 876 543 is?

a)

8 000 000+70 000+6 000+500+40+3

b)

800 000+70 000+6 000+500+40+3

c)

80 000+7 000+600+50+4

d)

70 000+500+6 000+40+800 000+3

55.

The number 64 can be written as ......

a)

72

b)

2x2x2x2

c)

26

d)

82

56.

Expand and simplify

2 (a+b)

a)

2ab

b)

2a + b

c)

2a + 2b

d)

2(ab)

57.

Expand  424^2  

a)

4 x 4 

b)

4 x 2

c)

 2 x 4

58.

Expand  20220^2   

a)

20 x 2

b)

2 x 20

c)

20 x 20

59.

Expand  17317^3   

a)

17 x 3

b)

17 x 17 x 17

c)

3 x 17

60.

Expand  1003100^3   

a)

100 x 100 x 100

b)

100 x 3

c)

3 x 100

61.

Expand  (2x − 5)2\left(2x\ -\ 5\right)^2   

a)

( 2x - 5 )( 2x - 5)

b)

(x - 5) ( x - 5 )

c)

2 ( 2x - 5 )

62.
If the exponent on your power of 10 is positive, is your number larger or smaller than 10?
a)
Larger
b)
Smaller
63.
7.82 x 10-6 is an example of scientific notation. The exponent of -6 tells you your number will be very ________.
a)
Large
b)
Small
c)
Basic
64.
Change from standard form to scientific notation: 12,000,000
a)
12.0  x  107
b)
0.12  x  107
c)
1.2  x  106
d)
1.2  x  107
65.
Change from standard form to scientific notation:  450,000
a)
4.5  x  105
b)
45  x  105
c)
4.5  x  104
d)
4.5  x  106
66.
Change from standard form to scientific notation:  0.000398
a)
39.8  x  10-5
b)
3.98  x  10-5
c)
3.98  x  10-4
d)
39.8  x  10-6
67.
Change from standard form to scientific notation: 0.004078
a)
4.078  x  10-3
b)
4.078  x  103
c)
40.78  x  10-4
d)
.4078  x  10-2
68.
Try to change the number back to standard form:  6.79  x  104
a)
679,000
b)
6,790
c)
67,900
d)
6,790,000
69.
125,678,000: Change to scientific notation
a)
1.25678  x  1012
b)
.125678  x  10-9
c)
12.5678  x  108
d)
1.25678  x  108
70.
Try to change the number back to standard form: 3.97  x  10-2
a)
0.000397
b)
0.0397
c)
0.0000397
d)
0.397
71.
The factor multiplied by a power of 10 in scientific notation needs to be greater than or equal to one but less than ___________?
a)
1
b)
10
c)
100
d)
1,000
72.
Which number is a factor of 20?
a)
5
b)
3
c)
6
73.
Which number is a prime number?
a)
8
b)
10
c)
3
74.
Which number is a composite number?
a)
10
b)
5
c)
7
75.
Which number is a factor of 100?
a)
8
b)
1
c)
3
76.
Which number is a factor of 4?
a)
3
b)
2
c)
0
77.
Which number is a factor of 35?
a)
2
b)
8
c)
5
78.
Joe has listed the first 4 multiples of 7 as: 
7   14    22     28
Which one is incorrect?
a)
7
b)
14
c)
22
d)
28
79.

Identify all the multiples of 6....

a)

30

b)

40

c)

48

d)

54

e)

72

80.
What are the multiples of 9?
a)
9, 12, 15, 18, 21
b)
9, 18, 27, 36, 45, 54
c)
3, 6, 9, 12, 15, 18
d)
9, 19, 29, 39, 49, 59
81.

Identify the number that is a multiple of 3...

a)

26

b)

27

c)

28

d)

29

82.
Which number is a multiple of 5?
a)
1,000
b)
1,001
c)
1,002
d)
1,003
83.
A prime number is...
a)
a number that has only one factor.
b)
a number that has at least two factors.
c)
a number that has more than two factors.
d)
a number that has only two factors.
(1 and itself)
84.
Find the HCF of 12 and 15 ?
a)
2
b)
2 x 3
c)
3
d)
60
85.
What is the LCM of 4 and 12? 
a)
4
b)
8
c)
12
d)
16
86.
Find the HCF of 30 and 36
a)
2
b)
3
c)
4
d)
6
87.

What are the next three multiples? 6, 12, 18, ___ ,___ ,___

a)

24, 30, 34

b)

24, 36, 42

c)

24, 30, 36

d)

22, 28, 34

88.

There are two loaf cakes. One is 35cm long and one is 21cm long. They want to cut the cake up and sell the slices, but all the slices must be equal. What is the largest slices that they can cut them into?

a)

HCF

b)

LCM

89.
Which is a NOT a factor of 9?
a)
0
b)
1
c)
3
d)
9
90.
What number is a factor for EVERY number?
a)
0
b)
1
c)
2
d)
100