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Unit 1 revision GCSE foundation

Total questions: 95

Worksheet time: 2hrs 23mins

Name
Class
Date
1.

7 x 5 =

a)

40

b)

35

c)

25

d)

50

2.

7 x 5 =

a)

40

b)

35

c)

25

d)

50

3.

35 + 47 =

a)

72

b)

77

c)

82

d)

87

4.

What is the remainder if you divide 53 by 7?

a)

1

b)

2

c)

3

d)

4

5.

23 x 6 =

a)

128

b)

138

c)

148

d)

158

6.

57 - 29 =

a)

28

b)

22

c)

32

d)

48

7.

120/8 =

a)

16

b)

17

c)

15

d)

13

8.

Which one of the following statements is true?

a)

8 < 3

b)

11 < 4

c)

6 > 10

d)

7 > 5

9.

314 + 217 =

a)

624

b)

531

c)

611

d)

572

10.

356 - 48 =

a)

308

b)

296

c)

414

d)

325

11.

72 - 52

a)

24

b)

4

c)

39

d)

16

12.

What place value is underlined in:


12.342

a)

Tens

b)

Ones

c)

Tenths

d)

Hundredthes

e)

Thousandths

13.

Which place value is underlined in


917.24

a)

Tens

b)

Ones

c)

Tenths

d)

Hundredths

e)

Thousandths

14.

Which number is bigger?

a)

8.23

b)

8.237

15.

What is the first step in adding or subtracting decimals?

a)

Adding or subtracting

b)

Putting 0's in for missing place values

c)

Lining up the decimas

d)

Dropping decimal in answer

16.

What is 3.04 + 2.16

(a)  

17.

What is 17.02 - 13.54

(a)  

18.
What is the first multiple of 10?
a)
0
b)
10
c)
20
d)
30
19.
Which is not a factor of 36?
a)
1
b)
5
c)
6
d)
12
20.
Which shows ALL of the factors of 14?
a)
1, 14
b)
2, 7
c)
1, 2, 7, 14
d)
1, 28
21.
Which one shows ALL of the factors of 6?
a)
1, 6, 12
b)
1, 2, 3, 6
c)
1, 2, 3,
d)
1, 6
22.
Which number is neither prime nor composite?
a)
1
b)
2
c)
3
d)
4
23.
Is 10 prime or composite?
a)
prime
b)
composite
24.
is 5 prime or composite?
a)
prime
b)
composite
25.
8, 12, 16, 20, and 24 are all multiples of ___.
a)
3
b)
6
c)
4
d)
9
26.
What are the first 5 multiples of 3?
a)
3, 6, 9, 12, 16
b)
3, 6, 9, 13, 15
c)
3, 6, 8, 12, 15
d)
3, 6, 9, 12, 15
27.
Which of these whole numbers is a factor of EVERY even number?
a)
2
b)
4
c)
6
d)
No number is a factor of EVERY even number.
28.
Which number fits all of these clues?
- Is an odd number
- is a multiple of 7
- is NOT a multiple of 2
- is a multiple of 3
a)
14
b)
21
c)
28
d)
42
29.
Which number is prime?
a)
13
b)
15
c)
18
d)
21
30.
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
31.
Is 3 a prime number?
a)
Yes, because it has more than one factor pair.
b)
Yes, because it only has one factor pair.
c)
No, because it has more than one factor pair.
d)
No, because it has only one factor pair.
32.
Which choice is a multiple of 11?
a)
1
b)
22
c)
23
d)
24
33.
List the first 5 multiples of 4
a)
20
b)
4 8 12 16 20
c)
1, 2, 4
d)
4, 8, 12, 16, 20, 24
34.
List all the factors of 12
a)
1, 2, 3, 4, 6, 12
b)
1, 2, 4, 12
c)
1, 12
d)
1, 2, 3, 4, 5, 6, 12
35.
List the first 5 multiples of 8
a)
1, 2, 4, 8
b)
8, 16, 25, 32, 40
c)
8, 16, 24, 32, 40
d)
8, 16, 24, 31, 40
36.
Which is a composite number or iNOT a prime number?
a)
3
b)
5
c)
6
d)
11
37.
What are the first 10 multiples of 7?
a)
7, 14, 21, 28, 35, 41, 49, 56, 63, 70
b)
7, 14, 28, 35, 42, 49, 56, 63, 70, 77
c)
7, 14, 21, 28, 35, 42, 49, 56, 63, 70
d)
7, 14, 21, 28, 42, 49, 56, 63, 70, 77
38.
If I know the area of a square, how do I find the side length?
a)
I square the area.
b)
I divide the area by 2.
c)
I take the square root of the area.
d)
I divide the area by 4.
39.
√ 81
a)
8
b)
7
c)
10
d)
9
40.
52
a)
16
b)
25
c)
20
d)
10
41.
112
a)
132
b)
144
c)
121
d)
22
42.

(14)2=\left(\frac{1}{4}\right)^2=  

a)

18\frac{1}{8}  

b)

116\frac{1}{16}  

43.
What is the side length of a square that has an area of 36?
a)
9
b)
18
c)
6
d)
1296
44.
What is the side length of a square that has an area of 121?
a)
11
b)
60.5
c)
30.25
d)
14641
45.
What is the perimeter of a square that has an area of 81?
a)
9
b)
36
c)
18
d)
81
46.
√17 is between
a)
3 and 4
b)
4 and 5
c)
6 and 7
d)
16 and 25
47.

Which point on the number line best represents the location of √92?

a)

Point M

b)

Point N

c)

Point P

d)

Point Q

48.

Which point on the number line best represents the location of √3?

a)

Point A

b)

Point B

c)

Point C

d)

Point D

49.
The √20 is between which two integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
50.

What is the square root of 49?

a)

6

b)

7

c)

8

d)

9

51.

Match the following numbers to their squares.

a)

11

1.

121

b)

12

2.

144

c)

13

3.

169

d)

14

4.

196

e)

15

5.

225

52.

Match the following numbers to their square roots.

a)

49

1.

7

b)

64

2.

8

c)

81

3.

9

d)

36

4.

6

e)

25

5.

5

53.

If x2=9x^2=9 , then x=x=   

a)

3

b)

-3

c)

±\pm  3

d)

81

54.

What is 2 cubed?

23

a)

8

b)

6

c)

4

d)

16

55.
What is the cube root of 27?
a)
9
b)
3
c)
-3
d)
-9
56.

Evaluate ∛1

a)

1

b)

2

c)

3

d)

4

57.

Find the cube root of 125:

a)

41.67

b)

25

c)

5

58.
What is 32 in expanded form?
a)
3 x 2
b)
3 + 2
c)
3 x 3
59.

What is 67in expanded form?

a)

6 x 6 x 6 x 6 x 6 x 6 x 6

b)

6 + 6 + 6 + 6 + 6 + 6

c)

6 x 7

60.
Simplify 2×b×b×b×3
a)
2b3
b)
6b
c)
b6
d)
6b3
61.
b×b×b×b in index form is equal to
a)
4b
b)
b4
c)
b3
d)
2b2
62.
Write in index notation. 7 x 7 x 7 x 7 x 7 x 10
a)
75+ 10
b)
75x 10
c)
75x 101
63.
Express b2 in expanded form
a)
b+b
b)
b+b+b
c)
b×b
d)
2×b
64.
Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 
?
a)
75
b)
76
c)
67
d)
77
65.
Which is equivalent to 24?
a)
8
b)
20
c)
16
d)
12
66.
25 is the same as 2 x 5.
a)
True
b)
False
67.
How would you represent 8⁶ ?
a)
8 x 6
b)
8 x 8 x 6
c)
8 x 8 x 8 x 8 x 8 x 8
d)
6 x 6 x 6 x 6 x 6 x 6 x 6 x 6
68.

What is 45 in expanded form?

a)

4 x 5

b)

4 x 4 x 4 x 4 x 4

c)

1024

d)

5 x 5 x 5 x 5 x 5

69.
Write 2 x 2 x 2 x 2 in index form
a)
23
b)
25
c)
16
d)
24
70.
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
71.
Is 5 prime or composite? 
a)
Prime
b)
Composite
72.
All of these are prime except
a)
3
b)
9
c)
2
d)
13
73.
2 x 2 x 2 is the prime factorization of
a)
6
b)
12
c)
22
d)
8
74.
Which is the prime factorization of 12? 
a)
2 x 6
b)
2 + 2 + 2 + 2 + 2 + 2 
c)
2 x 2 x 3
d)
1 x 2 x 2 x 3
75.
Use a number tree to find the prime factorization of 48
a)
4x2x6
b)
4x2x2x3
c)
3x2x2x2x2
d)
12x4
76.
Use a number tree to find the prime factorization of 72
a)
2x2x2x3x3
b)
4x3x3x2
c)
4x2x2x2x2
77.
Use a number tree to find the prime factorization of 105
a)
7x5x3
b)
11x5x3
c)
7x5x2x1
d)
7x5x3x2
78.
What is the prime factorization of 50?
a)
1, 2, 5, 10, 25, 50
b)
1 x 50
c)
2 x 25
d)
2 x 5 x 5
79.
What is the prime factorization of 24?
a)
2 x 12
b)
2 x 2 x 2 x 3
c)
4 x 6
d)
1, 2, 3, 4, 6, 8, 12, 24
80.
What is the prime factorization of 18?
a)
2 x 9
b)
2 x 3 x 3
c)
1, 2, 3, 6, 9, 18
d)
2 x 2 x 3
81.
23 x 5 is the same as
a)
2 x 3 x 5
b)
30
c)
2 x 2 x 2 x 5
d)
6 x 5
82.
52 x 7 is the same as
a)
5 x 5 x 7
b)
10 x 7
c)
5 x 2 x 7
d)
70
83.
What is the prime factorization of 31?
a)
2 x 13
b)
2 x 15
c)
It's Prime
d)
1 x 31
84.
What is the prime factorization of 45?
a)
32 x 5
b)
5 x 5 x 5
c)
9 x 5
d)
3 x 5
85.
23 x 7 is the prime factorization of which number?
a)
42
b)
56
c)
28
d)
Not Here
86.
2 x 5 x 11
a)
110
b)
18
c)
100
d)
77
87.
Is 17, a prime or composite number? 
a)
Prime
b)
Composite
88.
Is 12, a prime or composite number? 
a)
Prime
b)
Composite
89.
Which of the following is NOT prime?
a)
29
b)
23
c)
17
d)
6
90.
Use a factor tree to find the prime factorization of 75.  
a)
3 x 52
b)
3 x 53
c)
32 x 5
d)
5 x 15
91.
The following prime factorization represents which number:  22 x 3 x 7
a)
14
b)
84
c)
42
d)
70
92.
If the expanded form is 2⋅2⋅2⋅3⋅3⋅5⋅7 what would the exponential form be?
a)
2⋅3⋅5⋅7
b)
2³⋅3²⋅5⋅7
c)
2²⋅3²⋅5⋅7
d)
8⋅9⋅35
93.
Which of the following are all prime numbers
a)
2, 3, 6, 7, 9
b)
2, 4, 8, 16
c)
2, 3, 5, 7, 9
d)
2, 3, 5, 7, 11
94.
Using a Factor Tree, find the prime factorization of 100 in exponential form.
a)
10 × 10
b)
54
c)
2× 5
d)
2× 52
95.
Show what 73 means
a)
7 x 3
b)
3 x 7
c)
3 x 3 x 3 x 3 x 3 x 3 x 3
d)
7 x 7 x 7