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Worksheets

Year 7 Step 4

Total questions: 140

Worksheet time: 3hrs 26mins

Name
Class
Date
1.

Which is larger?

a)

-2

b)

-8

2.

Which is larger?

a)

-5

b)

-15

3.

Which is larger?

a)

3

b)

-1

4.

Which is larger?

a)

-1

b)

-2

5.

Which is larger?

a)

-8.5

b)

-8

6.

Which is larger?

a)

-7

b)

-7.5

7.

Which is larger?

a)

-1

b)

-0.5

8.

If we ask which negative number is larger, will the number be:

a)

Closer to being positive (or zero)

b)

Or further away from being positive (or zero)

9.

Write these numbers from smallest to largest:

-15, 0, -5

a)

-5, -15, 0

b)

-15, 0, -5

c)

0, -5, -15

d)

-15, -5, 0

10.

Write these numbers from smallest to largest:

-12, -6, -10

a)

-12, -10, -6

b)

-6, -10, -12

c)

-12, -6, -10

d)

-10, -6, -12

11.

Write these numbers from smallest to largest:

-30, -300, -3

a)

-300, -30, -3

b)

-3, -30, -300

c)

-3, -300, -30

d)

-300, -3, -30

12.

Write these numbers from smallest to largest:

-0.5, -1, -1.5

a)

-1.5, -1, -0.5

b)

-0.5, -1, -1.5

c)

-1, -0.5, -1.5

d)

-0.5, -1.5, -1

13.

Write these numbers from smallest to largest:

-4, -7, -5.5

a)

-7, -5.5, -4

b)

-4, -5.5, -7

c)

-4, -7, -5.5

d)

-7, -4, -5.5

14.

If we ask which negative number is smaller, will the number be:

a)

Closer to being positive (or zero)

b)

Or further away from being positive (or zero)

15.

Which is smaller?

a)

-5

b)

-7

16.

Which is smaller?

a)

-12

b)

-12.5

17.

Which is smaller?

a)

-4.2

b)

-4.8

18.

Which is smaller?

a)

-6

b)

-200

19.

Which is smaller?

a)

-20

b)

-21

20.

Which is smaller?

a)

-0.3

b)

-0.5

21.
Numbers increase as you go left on the number line?
a)
True
b)
False
22.
What kind of numbers are greater than 0? 
a)
Positive numbers 
b)
Negative numbers 
c)
All numbers 
d)
No numbers 
23.
What integers are less than 0? 
a)
Negative numbers 
b)
no numbers are less than 0 
c)
all numbers 
d)
positive numbers 
24.

Amber says that -8 is less than -6 because -8 is farther from 0 than -6. Is Amber correct?

a)

yes

b)

no

25.

Which is number is least?

a)

-5

b)

2

c)

0

26.

Which is number is greatest?

a)

-18

b)

-19

27.

Which number is least?

a)

-3.2

b)

-3.1

28.

Which number is greatest?

a)

-167

b)

-2

29.

Order from least to greatest:


4, -3, 0, 8, -17, 9

a)

0, -3, 4, 8, 9, -17

b)

9, 8, 4, 0, -17, -3

c)

-3, -17, 0, 4, 8, 9

d)

-17, -3, 0, 4, 8, 9

30.

Order the numbers from greatest to least:

a)

-52, 27, 50, -51, -2

b)

50, 27, -2, -51, -52

c)

50, 27, -52, -51, -2

d)

-52, -51, -2, 27, 50

31.

Which number is least?

a)

2.3

b)

0

c)

-5.7

d)

-5.84

32.

Which number is greatest?

a)

2.5

b)

2.36

c)

-10.4

d)

-12

33.

Order from greatest to least:


-10.4, 3.6, 3.14, 0, -10.8

a)

3.6, 3.14, 0, -10.4, -10.8

b)

-10.8, -10.4, 0, 3.14, 3.6

c)

-10.8, -10.4, 3.6, 3.14, 0

d)

3.6, 3.14, 0, -10.8, -10.4

34.

Order from least to greatest:


2.3, 0, 2.14, -1.5, -1.32

a)

0, -1.5, -1.32, 2.3, 2.14

b)

-1.32, -1.5, 0, 2.3, 2.14

c)

-1.5, -1.32, 0, 2.14, 2.3

d)

2.3, 2.14, 0, -1.32, -1.5

35.

Which is the largest number in this list:

1, -3, 0, 2

a)

1

b)

2

c)

0

d)

-3

36.

Which is the smallest number in this list:

1, -3, 0, 2

a)

0

b)

1

c)

-3

d)

2

37.

Which is the smallest number in this list:

-1, -2, 0, 3

a)

0

b)

-1

c)

3

d)

-2

38.

Which is the largest number in this list:

-1, -3, 0, -2

a)

-1

b)

-2

c)

0

d)

-3

39.

Which number is bigger


2 or -5

a)

2

b)

-5

40.

Which number is bigger


-2 or -5

a)

-2

b)

-5

41.

Compare: -1 ___4

a)

<<

b)

>>

42.

Compare: -7 _______-8

a)

<<

b)

>>

43.

Compare: -3 ________-2

a)

<<

b)

>>

44.

Compare: -5 _______ -10

a)

<<

b)

>>

45.

Order from smallest to biggest:


-12, 15, -1, 3,

a)

-1, 3, -12, 15

b)

15, 3, -12, -1

c)

-1, -12, 3, 15

d)

-12, -1, 3, 15

46.

Order from smallest to biggest:


-7, 4, -1, -3

a)

-7, -3, -1, 4

b)

-1, -3, 4, -7

c)

4, -1, -3, -7

d)

-1, -3, -7, 4

47.

What is a square number?

a)

the result of multiplying a number by itself three times

b)

a number that has two factors

c)

the result of multiplying a number by itself twice

d)

a number that has more than two factors

48.

Which number is a square number?

a)

2

b)

3

c)

4

d)

5

49.

Which number is NOT a square number?

a)

5

b)

16

c)

1

d)

9

50.

Select all the square numbers below:

a)

1

b)

25

c)

44

d)

0

51.

What is a cube number?

a)

the result of multiplying a number by itself three times

b)

the result of multiplying a number by itself twice

c)

the result of multiplying a number by itself four times

d)

a number that has 2 factors only

52.

the number 9 is a cube number

a)

true

b)

false

53.

7 is a square number

a)

true

b)

false

54.

49 is a square number because

a)

it looks like a square

b)

it is an odd number

c)

i can multiply 7 x 7 to get 49

55.

What square number comes after the square number 100?

a)

101

b)

121

c)

130

d)

140

56.

What cube number comes after the cube number 27?

a)

40

b)

54

c)

64

d)

74

57.
Find the approximate value of √30 to the tenths place.
a)
4.8
b)
5.5
c)
6.5
d)
7.2
58.
√16
a)
4
b)
8
c)
2
d)
9
59.
√64
a)
3
b)
8
c)
7
d)
6
60.
√121
a)
12
b)
10
c)
11
d)
3
61.
√225
a)
13
b)
16
c)
18
d)
15
62.
√100
a)
15
b)
10
c)
11
d)
12
63.
Which point most closely corresponds to ∛8 on the number line below? (Click the question to see the picture)
a)
P
b)
Q
c)
R
d)
S
64.
In between what two integers is √44?
a)
3 and 4
b)
4 and 5
c)
5 and 6
d)
6 and 7
65.
In between what two integers is √77?
a)
5 and 6
b)
6 and 7
c)
7 and 8
d)
8 and 9
66.
Which number is NOT a perfect square?
a)
196
b)
169
c)
121
d)
132
67.
The ∛24 is closest to which point on the number line? (Click the question to see the picture)
a)
A
b)
B
c)
C
d)
D
68.
63 = ?
a)
196
b)
206
c)
216
d)
226
69.
Find the cube root. 
a)
-5
b)
5
c)
4
d)
-4
70.
Find the square root.
a)
4/5
b)
2/3
c)
-4/5
d)
-2/3
71.
Solve the equation for z.
a)
1/4
b)
-1/2
c)
1/2
d)
-1/4
72.
If a question asks you to "Take away" what letter of BIDMAS does this refer to?
a)
I
b)
M
c)
S
d)
B
73.
What does the I in BIDMAS stand for?
a)
Instead
b)
Indices
c)
In, out, shake it all about
d)
Integer
74.
What is BIDMAS?
a)
A religious holiday
b)
An online auction
c)
The order of calculation
d)
A mode on a calculator
75.
32 is the same as?
a)
3x2
b)
3x3
76.
 27 ÷ (3 + 6)
a)
15
b)
3
c)
4
77.
48 ÷ (14 – 2)
a)
576
b)
5
c)
4
d)
3
78.
(9 + 2) × 2 + 5
a)
77
b)
18
c)
23
d)
27
79.
4 x 2- 1 x  32
a)
108
b)
36
c)
7
d)
55
80.
What is 3x(2+4)
a)
10
b)
16
c)
18
d)
12
81.
2 × 33 + 7
a)
91
b)
61
c)
235
d)
77
82.
(7 + 41) ÷ 2 – 15
a)
19
b)
9
c)
25
d)
3
83.
88 ÷ 44 + 44 ÷ 22
a)
22
b)
44
c)
2
d)
4
84.
8 ÷ 8 + 6 × 2
a)
8
b)
13
c)
14
d)
23
85.
91 + 27 ÷ (72 ÷ 24)
a)
100
b)
96
c)
90
d)
127
86.

52 - (32 + 42)

a)

6

b)

10

c)

2

d)

0

87.

6 ÷ 2 X (9 - 3)

a)

24

b)

12

c)

18

d)

6

88.

(42 - 6) - (2 X 5)

a)

6

b)

4

c)

3

d)

0

89.

( 13 - 6 ) X ( 8 ÷ 2 )

a)

56

b)

28

c)

42

d)

14

90.

(3 + 4)2

a)

49

b)

25

c)

19

d)

42

91.

9 + 9 ÷ 9 + 9

a)

36

b)

19

c)

9

d)

1

92.

What is the standard form for 3312?

a)

3.312*103

b)

3.312*102

c)

3.312*10-3

d)

3.312*102

93.

What is the standard form 0.01345?

a)

1.345*102

b)

1.345*103

c)

1.345*10-2

d)

1.345*10

94.

What is the standard form for 4345?

a)

4345*10

b)

4345*103

c)

4345*102

d)

4345*10-3

95.

What is 11132 written in standard form?

a)

1.1132*104

b)

1.1132*10-4

c)

1.1132*10-1

d)

1.1132*101

96.

What is the 323.2314 in standard form?

a)

3.232314 *102

b)

3.232314 *10-2

c)

3.232314 *106

d)

3.232314 *10-6

97.

115.134 in standard form is?

a)

1.15134 *102

b)

1.15134 *10-2

c)

1.15134 *10-5

d)

1.15134 *105

98.

0.000134 in standard form is

a)

1.34*104

b)

1.34*102

c)

1.34*10-4

d)

1.34*10-2

99.

89467 is the same as ___________ in standard form.

a)

8.9467*104

b)

8.9467*10-4

c)

8.9467*10

d)

8.9467*103

100.

What is the original number for 5.13*102?

a)

513

b)

5130

c)

0.513

d)

0.0513

101.

0.009836 is the same as?

a)

9.836*103

b)

9.836*10-3

c)

9.836*102

d)

9.836*10-2

102.

What is standard form?

a)

Writing numbers as a

calculator writes numbers

b)

A system of writing

very large or very small numbers

c)

Writing numbers as decimals

103.

True or False:


13.7 × 103 is written in standard form.

a)

True

b)

False

104.

What is 6.7 × 104 written

as an ordinary number?

a)

67000

b)

6700

c)

670000

d)

0.00067

105.

What is 3 × 10-2 written

as an ordinary number?

a)

300

b)

3000

c)

0.03

d)

0.3

106.

What is 45,000 written in standard form?

a)

45 × 103

b)

4.5 × 104

c)

4.5 × 103

107.

What is 0.00051

written in standard form?

a)

5.1 × 10-4

b)

51 × 10-4

c)

5.1 × 10-5

108.

What is 162 × 103

written in standard form?

a)

1.62 × 106

b)

1.62 × 105

c)

162,000

109.

True or False:


When writing

a number in standard form,

the first number must be

greater than 1 but less than 10.

a)

FALSE

b)

TRUE

110.

Calculate


(6 × 102) + (3 × 103)


Give your answer in standard form.

a)

3.6 × 102

b)

3.6 × 103

c)

3,600

111.

Calculate


(12 × 103) ÷ (4 × 101)


Give your answer in standard form.

a)

3 × 102

b)

300

c)

3 × 104

112.

Evaluate...


(4 × 103) × (8 × 1011)

a)

32 × 1014

b)

3.2 × 1014

c)

32 × 1015

d)

3.2 × 1015

113.

Evaluate...


(5 × 108) × (6 × 1012)

a)

30 × 1020

b)

3 × 1020

c)

30 × 1021

d)

3 × 1021

114.

Evaluate...


(3 × 10-2) × (6 × 109)

a)

18 × 107

b)

1.8 × 108

c)

18 × 1011

d)

1.8 × 1012

115.

Evaluate...


(1.2 × 105) × (4 × 106)

a)

4.8 × 1011

b)

4.8 × 1012

c)

4.8 × 1010

d)

4.8 × 1013

116.

Evaluate...


(2.6 × 107) × (2 × 109)

a)

5.2 × 1016

b)

5.2 × 1017

c)

5.4 × 1015

d)

5.4 × 1016

117.

Evaluate...


(5.2 × 1018) × (2 × 105)

a)

10.4 × 1023

b)

1.04 × 1024

c)

10.4 × 1024

d)

1.04 × 1023

118.

Evaluate...


(8 × 10-4) × (1 × 10-9)

a)

8 × 105

b)

8 × 10-5

c)

8 × 10-13

d)

8 × 1013

119.

Evaluate...


(5.2 × 1017) ÷ (2 × 105)

a)

2.6 × 1012

b)

2.6 × 1013

c)

2.6 × 1011

d)

2.6 × 1022

120.

Evaluate...


(7 × 1024) ÷ (2 × 108)

a)

3.5 × 1016

b)

3.5 × 1018

c)

3.5 × 1032

d)

3.5 × 103

121.

Evaluate...


(6 × 10-8) ÷ (2 × 105)

a)

3 × 1013

b)

3 × 103

c)

3 × 10-3

d)

3 × 10-13

122.

Evaluate...


(3.2 × 1010) ÷ (2 × 1015)

a)

1.6 × 10-5

b)

2.1 × 10-25

c)

1.6 × 10-25

d)

2.1 × 10-5

123.

Evaluate...


(2 × 10-3) ÷ (4 × 109)

a)

2 × 10-12

b)

0.5 × 10-12

c)

0.5 × 10-11

d)

5 × 10-11

124.

Evaluate...


(6.1 × 1013) × (3 × 109)

a)

18.3 × 1022

b)

18.3 × 1023

c)

1.83 × 1022

d)

1.83 × 1023

125.

Evaluate...


(8 × 1013) ÷ (2 × 10-2)

a)

4 × 1015

b)

4 × 1011

c)

4 × 10-11

d)

4 × 10-15

126.

(2×103)+(5×103)\left(2\times10^3\right)+\left(5\times10^3\right)  

a)

25×10325\times10^3  

b)

7×1037\times10^3  

c)

2.5×1042.5\times10^4  

127.

(9×107)(4×107)\left(9\times10^7\right)-\left(4\times10^7\right)  

a)

5×1075\times10^7  

b)

5×10145\times10^{14}  

c)

5×10495\times10^{49}  

128.

(8×109)(3×109)\left(8\times10^{-9}\right)-\left(3\times10^{-9}\right)  

a)

28×108128\times10^{81}  

b)

5×1095\times10^9  

c)

5×1095\times10^{-9}  

129.

(5×107)+(1×106)\left(5\times10^7\right)+\left(1\times10^6\right)  

a)

5.1×1075.1\times10^7  

b)

6×1076\times10^7  

c)

5×10425\times10^{42}  

130.

(4×102)+(7×103)\left(4\times10^2\right)+\left(7\times10^3\right)  

a)

(4.7×102)\left(4.7\times10^2\right)  

b)

7.4×1037.4\times10^3  

c)

11×10211\times10^2  

131.

(7.2×108)+(9.5×108)\left(7.2\times10^8\right)+\left(9.5\times10^8\right)  

a)

167×108167\times10^8  

b)

1.67×1091.67\times10^9  

c)

16.7×10816.7\times10^8  

132.

(2.43×104)+(8.9×104)\left(2.43\times10^{-4}\right)+\left(8.9\times10^{-4}\right)  

a)

11.33×10211.33\times10^{-2}  

b)

1.133×1031.133\times10^{-3}  

c)

1.133×1011.133\times10^{-1}  

133.

(4.32×109)(2.57×109)\left(4.32\times10^9\right)-\left(2.57\times10^9\right)  

a)

175×107175\times10^7  

b)

17.5×10817.5\times10^8  

c)

1.75×1091.75\times10^9  

134.

(2.3×104)+(3.4×103)\left(2.3\times10^4\right)+\left(3.4\times10^3\right)  

a)

2.64×1042.64\times10^4  

b)

26.4×10326.4\times10^3  

c)

0.264×1050.264\times10^5  

135.

(3.9×106)(9.53×107)\left(3.9\times10^{-6}\right)-\left(9.53\times10^{-7}\right)  

a)

2.947×1072.947\times10^{-7}  

b)

2.947×1062.947\times10^{-6}  

c)

2.947×1062.947\times10^6  

136.

(7×103)+(5×103)\left(7\times10^3\right)+\left(-5\times10^3\right)  

a)

2×1032\times10^3  

b)

35×10335\times10^3  

c)

12×10312\times10^3  

137.

(9×107)(1.3×107)\left(-9\times10^{-7}\right)-\left(-1.3\times10^{-7}\right)  

a)

1.3×106-1.3\times10^6  

b)

1.3×106-1.3\times10^{-6}  

c)

1.3×107-1.3\times10^{-7}  

138.

(8×109)(3×109)\left(-8\times10^9\right)-\left(-3\times10^9\right)  

a)

5×1095\times10^9  

b)

5×109-5\times10^9  

c)

11×109-11\times10^9  

139.

(5.7×107)+(2.4×106)\left(5.7\times10^7\right)+\left(-2.4\times10^6\right)  

a)

5.46×1075.46\times10^7  

b)

54.6×10854.6\times10^8  

c)

7.1×1077.1\times10^7  

140.

(4.5×102)+(7×103)\left(-4.5\times10^{-2}\right)+\left(7\times10^{-3}\right)  

a)

11.5×102-11.5\times10^{-2}  

b)

3.8×1023.8\times10^2  

c)

3.8×102-3.8\times10^{-2}