1. 2s, 5s and 10s

2. Multiply by 2

3. 0 x 2 = 0
1 x 2 = 2
2 x 2 = 4
3 x 2 = 6
4 x 2 = 8
5 x 2 = 10
6 x 2 = 12
7 x 2 = 14
8 x 2 = 16
9 x 2 = 18
10 x 2 = 20
11 x 2 = 22
12 x 2 = 24 2 4 6 8 10 12 14 16 18 20 22 24

4. Multiply by 5

5. 0 x 5 = 0
1 x 5 = 5
2 x 5 = 10
3 x 5 = 15
4 x 5 = 20
5 x 5 = 25
6 x 5 = 30
7 x 5 = 35
8 x 5 = 40
9 x 5 = 45
10 x 5 = 50
11 x 5 = 55
12 x 5 = 60 5 10 15 20 25 30 35 40 45 50 55 60

6. Multiply by 10

7. 0 x 10 = 0
1 x 10 = 10
2 x 10 = 20
3 x 10 = 30
4 x 10 = 40
5 x 10 = 50
6 x 10 = 60
7 x 10 = 70
8 x 10 = 80
9 x 10 = 90
10 x 10 = 100
11 x 10 = 110
12 x 10 = 120 10 20 30 40 50 60 70 80 90
100
110
120

8. Divide by 2

9. 0 ÷ 2 = 2
2 ÷ 2 = 1
4 ÷ 2 = 2
6 ÷ 2 = 3
8 ÷ 2 = 4
10 ÷ 2 = 5
12 ÷ 2 = 6
14 ÷ 2 = 7
16 ÷ 2 = 8
18 ÷ 2 = 9
20 ÷ 2 = 10
22 ÷ 2 = 11
24 ÷ 2 = 12 2 4 6 8 10 12 14 16 18 20 22 24

10. Divide by 5

11. 0 ÷ 5 = 0
5 ÷ 5 = 1
10 ÷ 5 = 2
15 ÷ 5 = 3
20 ÷ 5 = 4
25 ÷ 5 = 5
30 ÷ 5 = 6
35 ÷ 5 = 7
40 ÷ 5 = 8
45 ÷ 5 = 9
50 ÷ 5 = 10
55 ÷ 5 = 11
60 ÷ 5 = 12 5 10 15 20 25 30 35 40 45 50 55 60

12. Divide by 10

13. 0 ÷ 10 = 0
10 ÷ 10 = 1
20 ÷ 10 = 2
30 ÷ 10 = 3
40 ÷ 10 = 4
50 ÷ 10 = 5
60 ÷ 10 = 6
70 ÷ 10 = 7
80 ÷ 10 = 8
90 ÷ 10 = 9
100 ÷ 10 = 10
110 ÷ 10 = 11
120 ÷ 10 = 12 10 20 30 40 50 60 70 80 90
100
110
120

14. 3s, 4s and 8s

15. Multiply by 3

16. 0 x 3 = 0
1 x 3 = 3
2 x 3 = 6
3 x 3 = 9
4 x 3 = 12
5 x 3 = 15
6 x 3 = 18
7 x 3 = 21
8 x 3 = 24
9 x 3 = 27
10 x 3 = 30
11 x 3 = 33
12 x 3 = 36 3 6 9 12 15 18 21 24 27 30 33 36

17. Multiply by 4

18. 0 x 4 = 0
1 x 4 = 4
2 x 4 = 8
3 x 4 = 12
4 x 4 = 16
5 x 4 = 20
6 x 4 = 24
7 x 4 = 28
8 x 4 = 32
9 x 4 = 36
10 x 4 = 40
11 x 4 = 44
12 x 4 = 48 4 8 12 16 20 24 28 32 36 40 44 48

19. Connect the 2 and 4 times tables

20. 2 times table 4 times table 2 4 6 8 10 12 14 16 18 20 22 24 4 8 12 162 4 6 8 10 12 14 16 18 20 22 24
4 times table 4 8 12 16 20 24 28 32 36 40 44 48

21. double halve 1 x 2 = 2 1 x 4 = 4 2 x 2 = 4 2 x 4 = 8 3 x 2 = 6

22. 2 4 6 8 10 12 14 16 18 20 22 24 2 4 6 8 10 12 14 16 18 20 22 24 4 8 12 16 20 24 28 32 36 40 44 48

23. 4 8 12 16 20 24 28 32 36 40 44 48 2 4 6 8 10 12 14 16 18 20 22 24

24. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99
100

25. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99
100

26. Multiply by 8

27. 0 x 8 = 0
1 x 8 = 8
2 x 8 = 16
3 x 8 = 24
4 x 8 = 32
5 x 8 = 40
6 x 8 = 48
7 x 8 = 56
8 x 8 = 64
9 x 8 = 72
10 x 8 = 80
11 x 8 = 88
12 x 8 = 96 8 16 24 32 40 48 56 64 72 80 88 96

28. Connect the 4 and 8 times tables

29. 4 8 12 16 20 24 28 32 36 40 44 48 8 16 24 32 40 48 56 64 72 80 88 96

30. double halve 1 x 4 = 4 1 x 8 = 8 2 x 4 = 8 2 x 8 = 1 6 3 x 4 = 1 2

31. 4 8 12 16 20 24 28 32 36 40 44 48 4 8 12 16 20 24 28 32 36 40 44 48 8 16 24 32 40 48 56 64 72 80 88 96

32. 8 16 24 32 40 48 56 64 72 80 88 96 4 8 12 16 20 24 28 32 36 40 44 48

33. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99
100

34. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99
100

35. Represent multiplication using an array

36. 5 x 2 = 2 x
4 x 3 = 3 x 5 4
5 + 5

37. Divide by 3

38. 0 ÷ 3 = 0
3 ÷ 3 = 1
6 ÷ 3 = 2
9 ÷ 3 = 3
12 ÷ 3 = 4
15 ÷ 3 = 5
18 ÷ 3 = 6
21 ÷ 3 = 7
24 ÷ 3 = 8
27 ÷ 3 = 9
30 ÷ 3 = 10
33 ÷ 3 = 11
36 ÷ 3 = 12 3 6 9 12 15 18 21 24 27 30 33 36

39. Divide by 4

40. 0 ÷ 4 = 0
4 ÷ 4 = 1
8 ÷ 4 = 2
12 ÷ 4 = 3
16 ÷ 4 = 4
20 ÷ 4 = 5
24 ÷ 4 = 6
28 ÷ 4 = 7
32 ÷ 4 = 8
36 ÷ 4 = 9
40 ÷ 4 = 10
44 ÷ 4 = 11
48 ÷ 4 = 12 4 8 12 16 20 24 28 32 36 40 44 48

41. Divide by 8

42. 0 ÷ 8 = 0
8 ÷ 8 = 1
16 ÷ 8 = 2
24 ÷ 8 = 3
32 ÷ 8 = 4
40 ÷ 8 = 5
48 ÷ 8 = 6
56 ÷ 8 = 7
64 ÷ 8 = 8
72 ÷ 8 = 9
80 ÷ 8 = 10
88 ÷ 8 = 11
96 ÷ 8 = 12 8 16 24 32 40 48 56 64 72 80 88 96

43. 56 ÷ 8 =
7 x 8 = 5 6 7
2017WDN

44. Divide by grouping

45. 12 ÷ 4 = 3 4 8 12
20 ÷ 5 = 4 5 10 15 20
18 ÷ 2 = 9 2 4 6 8 10 12 14 16 18

46. Divide by sharing

47. 12 ÷ 4 = 3
20 ÷ 5 = 4
18 ÷ 2 = 9

48. Solve missing number problems for multiplication and division with knowledge of the 2, 3, 4, 5, 8 and 10 times tables

49. = 7 x 5
= 14 ÷ 2
4 x = 32 35 7 8
3 2 ÷ 4 = 8
x 3 = 27
÷ 8 = 6
24 ÷ = 4 9 48 6
2 7 ÷ 3 = 9
6 x 8 = 4 8
2 4 ÷ 4 = 6

50. x 3 = 27 9 3 6 9 12 15 18 21 24 27
2 7 ÷ 3 = 9 9 3 27
9 x 3 = 2 7
3 x 9 = 2 7
2 7 ÷ 3 = 9
2 7 ÷ 9 = 3

51. ÷ 8 = 6 48 8 16 24 32 40 48
6 x 8 = 4 8 6 8 48
6 x 8 = 4 8
8 x 6 = 4 8
4 8 ÷ 8 = 6
4 8 ÷ 6 = 8

52. 24 ÷ = 4 6 4 8 12 16 20 24
2 4 ÷ 4 = 6 6 4 24
6 x 4 = 2 4
4 x 6 = 2 4
2 4 ÷ 4 = 6
2 4 ÷ 6 = 4

53. Divide by 2, 3, 4, 5, 8 and 10 with remainders

54. +3
11 ÷ 4 =
2r3 4 8 11 12 +3
18 ÷ 5 =
3r3 5 10 15 18 20 +1
15 ÷ 2 =
7r1 2 4 6 8 10 12 14 15 16

55. 11 ÷ 4 =
2r3
18 ÷ 5 =
3r3
15 ÷ 2 =
7r1

56. Multiplication and Division within 1000

57. Multiply by a multiple of 10 with knowledge of the 2, 3, 4, 5 and 8 times tables

58. 3 x 80 =
240 80
160
240
40 x 8 =
320 40 80
120
160
200
240
280
320
9 x 20 =
180 20 40 60 80
100
120
140
160
180

59. 3 x 80 =
240 80
160
240

60. 40 x 8 =
320 40 80
120
160
200
240
280
320

61. 9 x 20 =
180 20 40 60 80
100
120
140
160
180

62. Multiply by a two-digit number using the grid method using knowledge of the 2, 3, 4, 5 and 8 times tables

63. 4 x 55 =
23 x 7 =
220
161 50 5 20 3
(4 x 5 0) + (4 x 5)
(7 x 2 0) + (7 x 3) 50 5 20 3 4
200 20 7
140 21
= 2 2 0
= 1 6 1

64. 4 x 55 =
220 50 5 50 5
(4 x 5 0) + (4 x 5) 4 50 5 4
200 20
= 2 2 0

65. 4 x 55 =
220 50 5 4
200 20

66. + = 50x table 5x table 55x table 1 x 50 = 50 2 x 50 = 100 3 x 50 = 150

67. 23 x 7 =
161 20 3 20 3
(7 x 2 0) + (7 x 3) 7 20 3 7
140 21
= 1 6 1

68. 23 x 7 =
161 20 3 7
140 21

69. + = 20x table 3x table 23x table 1 x 20 = 20 2 x 20 = 40 3 x 20 = 60

70. Multiply by a two-digit number using the expanded column method using knowledge of the 2, 3, 4, 5 and 8 times tables

71. 33 x 2 =
76 x 5 =
85 x 3 = 66
380
255
3 3 2 x
7 6 5 x
8 5 3 x 6
3 0
1 5
6 0
3 5 0
2 4 0 6 6 3 8 2 5 5

72. 33 x 2 = 66
3 3 2 x 6
6 0 6 6

73. 76 x 5 =
380
7 6 5 x
3 0
3 5 0 3 8

74. 85 x 3 =
255
8 5 3 x
1 5
2 4 0 2 5 5

75. Multiply by a two-digit number using the column method using knowledge of the 2, 3, 4, 5 and 8 times tables within 100

76. 2
16 x 4 =
6 4
1 6 4 x 6 4 1
24 x 3 =
7 2
2 4 3 x 7 2 1
2 x 35 =
7 0
3 5 2 x 7

77. 2
16 x 4 =
6 4
1 6 4 x 6 4

78. 1
24 x 3 =
7 2
2 4 3 x 7 2

79. 1
2 x 35 =
7 0
3 5 2 x 7

80. Multiply by a two-digit number using the column method using knowledge of the 2, 3, 4, 5 and 8 times tables beyond 100

81. 2
24 x 6 =
1 4 4
2 4 6 x
1 4 4
74 x 2 =
1 4 8
7 4 2 x
1 4 8 1
3 x 45 =
1 3 5
4 5 3 x
1 3 5

82. 2
24 x 6 =
1 4 4
2 4 6 x
1 4 4

83. 74 x 2 =
1 4 8
7 4 2 x 8
1 4

84. 1
3 x 45 =
1 3 5
4 5 3 x
1 3 5

85. 1
4 5 2 x
Double 4 0 = 8 0
Double 5 = 1 0 9
9 0
2018

86. Divide a multiple of 10 by a single-digit number
Version based on original rather than new

87. 80 ÷ 2 = 40 10 10 10 10 20 40 60 80
150 ÷ 3 = 50 10 10 10 10 10 30 60 90
120
150
160 ÷ 4 = 40 10 10 10 10 40 80
120
160
210 ÷ 3 = 70 10 10 10 10 10 10 10 30 60 90
120
150
180
210

88. 80 ÷ 2 =
4 0

89. 150 ÷ 3 =

90. 150 ÷ 3 = 50

91. 160 ÷ 4 =

92. 160 ÷ 4 = 40

93. 210 ÷ 3 =

94. 210 ÷ 3= 70

95. Divide a multiple of 10 by a single-digit number
New version

96. 10 10 10
60 ÷ 2 = 30 20 40 60 10 10 10 10 10 10 10
350 ÷ 5 = 70 50
100
150
200
250
300
350 10 10 10 10 10 10 10 10 10
270 ÷ 3 = 90 30 60 90
120
150
180
210
240
270

97. 60 ÷ 2 = 30

98. 350 ÷ 5 = 70

99. 270 ÷ 3 = 90

100. Divide by chunking

101. 10 10
78 ÷ 3 = 2 6 30 60 63 66 69 72 75 78 10 10 10 10 10
260 ÷ 5 = 5 2 50
100
150
200
250
255
260 10 10 10
144 ÷ 4 = 3 6 40 80
120
124
128
132
136
140
144

102. 10 10 5
78 ÷ 3 = 2 6 30 60 75 78 10 10 10 10 10 2
260 ÷ 5 = 5 2 50
100
150
200
250
260 10 10 10 5
144 ÷ 4 = 3 6 40 80
120
140
144

103. 10 10 5
78 ÷ 3 = 2 6 30 60 75 78 3 26 78
1 0 x
3 0
1 0 x
+ 3 0 6
5 x
+ 1 5 7 5
3 x 2 6 = 7 8
1 x
+ 3
2 6 x 3 = 7 8
2 6 x 7 8
7 8 ÷ 3 = 2 6
7 8 ÷ 2 6 = 3

104. 10 10 10 10 10 2
260 ÷ 5 = 5 2 50
100
150
200
250
260 5 52
260
1 0 x
5 0
1 0 x
+ 5 0
1 0
1 0 x
+ 5 0
1 5
5 x 5 2 = 2 6 0
1 0 x
+ 5 0
5 2 x 5 = 2 6 0
2 0
2 6 0 ÷ 5 = 5 2
1 0 x
+ 5 0
2 6 0 ÷ 5 2 = 5
2 5
2 x
+ 1 0
5 2 x
2 6

105. 10 10 10 5
144 ÷ 4 = 3 6 40 80
120
140
144 4 36
144
1 0 x
4 0
1 0 x
+ 4 0 8
1 0 x
+ 4 0
1 2
4 x 3 6 = 1 4 4
5 x
+ 2 0
3 6 x 4 = 1 4 4
1 4
1 4 4 ÷ 4 = 3 6
1 x
+ 4
1 4 4 ÷ 3 6 = 4
3 6 x
1 4 4

106. 20 5
78 ÷ 3 = 2 6 60 75 78 50 2
260 ÷ 5 = 5 2
250
260 30 5
144 ÷ 4 = 3 6
120
140
144

107. Divide by a single-digit number using long division

108. 68 ÷ 2 =
72 ÷ 3 =
96 ÷ 4 =
123 ÷ 3 = 34 24 24 41 3 4 2 4 2 4 4 1 2
6 8 3
7 2 4
9 6 3
1 2 3
– 6
– 6
– 8
– 1 2 8 1 2 1 6 3
– 8
– 1 2
– 1 6
– 3

109. 68 ÷ 2 = 34 3 4 2
6 8
– 6 8
– 8

110. 72 ÷ 3 = 24 2 4 3
7 2
– 6 1 2
– 1 2

111. 96 ÷ 4 = 24 2 4 4
9 6
– 8 1 6
– 1 6

112. 123 ÷ 2 = 41 4 1 3
1 2 3
– 1 2 3
– 3

113. Divide using short division

114. 68 ÷ 2 =
72 ÷ 3 =
96 ÷ 4 =
123 ÷ 3 = 34 24 24 41 3 4 2 4 2 4 4 1 2
6 8 3
7 2 1 4
9 6 1 3
1 2 3

115. 68 ÷ 2 = 34 3 4 2
6 8

116. 72 ÷ 3 = 24 2 4 3
7 2 1

117. 96 ÷ 4 = 24 2 4 4
9 6 1

118. 123 ÷ 2 = 41 4 1 3
1 2 3

119. Divide using short division
Test A

120. 1 9
95 ÷ 5 =
1 9 5
9 5 4 2 4
96 ÷ 4 =
2 4 4
9 6 1 1 4
84 ÷ 6 =
1 4 6
8 4 2 1 3
91 ÷ 7 =
1 3 7
9 1 2

121. 80 ÷ 5 = 1 6 5
8 0 3
1 6
2016WDN

122. 6s, 7s, 9s, 11s and 12s

123. Multiply by 6

124. 0 x 6 = 0
1 x 6 = 6
2 x 6 = 12
3 x 6 = 18
4 x 6 = 24
5 x 6 = 30
6 x 6 = 36
7 x 6 = 42
8 x 6 = 48
9 x 6 = 54
10 x 6 = 60
11 x 6 = 66
12 x 6 = 72 6 12 18 24 30 36 42 48 54 60 66 72

125. Connect the 3 and 6 times tables

126. 3 6 9 12 15 18 21 24 27 30 33 36 6 12 18 24 30 36 42 48 54 60 66 72

127. double halve 1 x 3 = 3 1 x 6 = 6 2 x 3 = 6 2 x 6 = 1 2 3 x 3 = 9

128. 3 6 9 12 15 18 21 24 27 30 33 36 3 6 9 12 15 18 21 24 27 30 33 36 6 12 18 24 30 36 42 48 54 60 66 72

129. 6 12 18 24 30 36 42 48 54 60 66 72 3 6 9 12 15 18 21 24 27 30 33 36

130. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99
100

131. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99
100

132. Multiply by 7

133. 0 x 7 = 0
1 x 7 = 7
2 x 7 = 14
3 x 7 = 21
4 x 7 = 28
5 x 7 = 35
6 x 7 = 42
7 x 7 = 49
8 x 7 = 56
9 x 7 = 63
10 x 7 = 70
11 x 7 = 77
12 x 7 = 84 7 14 21 28 35 42 49 56 63 70 77 84

134. Multiply by 9

135. 0 x 9 = 0
1 x 9 = 9
2 x 9 = 18
3 x 9 = 27
4 x 9 = 36
5 x 9 = 45
6 x 9 = 54
7 x 9 = 63
8 x 9 = 72
9 x 9 = 81
10 x 9 = 90
11 x 9 = 99
12 x 9 = 108 9 18 27 36 45 54 63 72 81 90 99
108

136. Multiply by 11

137. 0 x 11 = 0
1 x 11 = 11
2 x 11 = 22
3 x 11 = 33
4 x 11 = 44
5 x 11 = 55
6 x 11 = 66
7 x 11 = 77
8 x 11 = 88
9 x 11 = 99
10 x 11 = 110
11 x 11 = 121
12 x 11 = 132 11 22 33 44 55 66 77 88 99
110
121
132

138. Multiply by 12

139. 0 x 12 = 0
1 x 12 = 12
2 x 12 = 24
3 x 12 = 36
4 x 12 = 48
5 x 12 = 60
6 x 12 = 72
7 x 12 = 84
8 x 12 = 96
9 x 12 = 108
10 x 12 = 120
11 x 12 = 132
12 x 12 = 144 12 24 36 48 60 72 84 96
108
120
132
144

140. Divide by 6

141. 0 ÷ 6 = 0
6 ÷ 6 = 1
12 ÷ 6 = 2
18 ÷ 6 = 3
24 ÷ 6 = 4
30 ÷ 6 = 5
36 ÷ 6 = 6
42 ÷ 6 = 7
48 ÷ 6 = 8
54 ÷ 6 = 9
60 ÷ 6 = 10
66 ÷ 6 = 11
72 ÷ 6 = 12 6 12 18 24 30 36 42 48 54 60 66 72

142. 8 x 6 = 4 8 8
2015

143. Divide by 7

144. 0 ÷ 7 = 0
7 ÷ 7 = 1
14 ÷ 7 = 2
21 ÷ 7 = 3
28 ÷ 7 = 4
35 ÷ 7 = 5
42 ÷ 7 = 6
49 ÷ 7 = 7
56 ÷ 7 = 8
63 ÷ 7 = 9
70 ÷ 7 = 10
77 ÷ 7 = 11
84 ÷ 7 = 12 7 14 21 28 35 42 49 56 63 70 77 84

145. Divide by 9

146. 0 ÷ 9 = 0
9 ÷ 9 = 1
18 ÷ 9 = 2
27 ÷ 9 = 3
36 ÷ 9 = 4
45 ÷ 9 = 5
54 ÷ 9 = 6
63 ÷ 9 = 7
72 ÷ 9 = 8
81 ÷ 9 = 9
90 ÷ 9 = 10
99 ÷ 9 = 11
108 ÷ 9 = 12 9 18 27 36 45 54 63 72 81 90 99
108

147. 54 ÷ 9 =
6 x 9 = 5 4 6
2015WDN

148. 8 x 9 = 7 2 8
2017

149. Divide by 11

150. 0 ÷ 11 = 0
11 ÷ 11 = 1
22 ÷ 11 = 2
33 ÷ 11 = 3
44 ÷ 11 = 4
55 ÷ 11 = 5
66 ÷ 11 = 6
77 ÷ 11 = 7
88 ÷ 11 = 8
99 ÷ 11 = 9
110 ÷ 11 = 10
121 ÷ 11 = 11
132 ÷ 11 = 12 11 22 33 44 55 66 77 88 99
110
121
132

151. 9 x 1 1 = 9 9 9
2018

152. Divide by 12

153. 0 ÷ 12 = 0
12 ÷ 12 = 1
24 ÷ 12 = 2
36 ÷ 12 = 3
48 ÷ 12 = 4
60 ÷ 12 = 5
72 ÷ 12 = 6
84 ÷ 12 = 7
96 ÷ 12 = 8
108 ÷ 12 = 9
120 ÷ 12 = 10
132 ÷ 12 = 11
144 ÷ 12 = 12 12 24 36 48 60 72 84 96
108
120
132
144

154. 84 ÷ 12 =
7 x 1 2 = 8 4 7
2018WDN

155. 1 0 x 1 2 = 1 2 0
1 0
2019

156. Solve missing number problems for multiplication and division with knowledge of the 6, 7, 9, 11 and 12 times tables

157. = 6 x 6
= 63 ÷ 9
7 x = 42 36 7 6
4 2 ÷ 7 = 6
x 12 = 108
÷ 11 = 9
56 ÷ = 7 9 99 8
1 0 8 ÷ 1 2 = 9
9 x 1 1 = 9 9
5 6 ÷ 7 = 8

158. x 12 = 108 9 12 24 36 48 60 72 84 96
108
1 0 8 ÷ 1 2 = 9 12 9
108
1 2 x 9 = 1 0 8
9 x 1 2 = 1 0 8
1 0 8 ÷ 9 = 1 2
1 0 8 ÷ 1 2 = 9

159. ÷ 11 = 9 99 11 22 33 44 55 66 77 88 99
9 x 1 1 = 9 9 11 9 99
1 1 x 9 = 9 9
9 x 1 1 = 9 9
9 9 ÷ 1 1 = 9
9 9 ÷ 9 = 1 1

160. 56 ÷ = 7 8 7 14 21 28 35 42 49 56
5 6 ÷ 7 = 8 8 7 56
8 x 7 = 5 6
7 x 8 = 5 6
5 6 ÷ 8 = 7
5 6 ÷ 7 = 8

161. Divide with remainders

162. +2
20 ÷ 6 =
3r2 6 12 18 20 24 +3
24 ÷ 7 =
3r3 7 14 21 24 28 +1
64 ÷ 9 =
7r1 9 18 27 36 45 54 63 64 72

163. +2
20 ÷ 6 =
3r2 6 12 18 20 24

164. +3
24 ÷ 7 =
3r3 7 14 21 24 28

165. +1
64 ÷ 9 =
7r1 9 18 27 36 45 54 63 64 72

166. Multiplication and Division within 10,000

167. Multiply by a multiple of 10 with knowledge of the 6, 7, 9, 11 and 12 times tables

168. 3 x 60 =
180 60
120
180
90 x 7 =
630 90
180
270
360
450
540
630
9 x 70 =
630 70
140
210
280
350
420
490
560
630

169. 3 x 60 =
180 60
120
180

170. 90 x 7 =
630 90
180
270
360
450
540
630

171. 9 x 70 =
180 70
140
210
280
350
420
490
560
630

172. Multiply by a two-digit number using the grid method using knowledge of the 6, 7 and 9 times tables

173. 4 x 66 =
79 x 6 =
268
474 60 6 70 9
(4 x 6 0) + (4 x 6)
(6 x 7 0) + (6 x 9) 60 6 70 9 4
240 24 6
420 54
= 2 6 8
= 4 7 4

174. + = 60x table 6x table 66x table 1 x 60 = 60 2 x 60 = 120 3 x 60 = 180

175. + = 70x table 9x table 79x table 1 x 70 = 70 2 x 70 = 140 3 x 70 = 210

176. Multiply by a two-digit number using the expanded column method using knowledge of the 6, 7 and 9 times tables

177. 63 x 7 =
76 x 9 =
89 x 6 =
441
684
534
6 3 7 x
7 6 9 x
8 9 6 x
2 1
5 4 1
5 4
4 2 0
6 3 0
4 8 0 4 4 1 6 8 4 5 3 4

178. 63 x 7 =
441
6 3 7 x
2 1
4 2 0 1 4

179. 76 x 9 =
684
7 6 9 x
5 4
6 3 0 6 8 4

180. 89 x 6 =
534
8 9 6 x 1
5 4
4 8 0 5 3 4

181. Multiply by a two-digit number using the column method using knowledge of the 6, 7 and 9 times tables

182. 1
72 x 6 =
432
7 2 6 x
4 3 2 7
28 x 9 =
252
2 8 9 x
2 5 2 4
7 x 76 =
532
7 6 7 x
5 3 2

183. 7 1 8 x
5 6 8
5 6 8
2016

184. 61 x 7 =
6 1 7 x
4 2 7
4 2 7
2016WDN

185. Multiply three-numbers together

186. 3 x 8 x 9 =
8 x 6 x 5 =
6 x 7 x 5 =
216
240
210
9 x 8 =
7 2
8 x 6 =
4 8
7 x 6 =
4 2 4 1
7 2 3 x
4 8 5 x
4 2 5 x
2 1 6
2 4
2 1
8 x 5 =
4 0
6 x 5 =
3 0
4 0 x 6 =
2 4 0
3 0 x 7 =
2 1 0

187. 5 x 4 =
2 0
2 0 x 1 0 =
2 0 0
2 0 0
2018

188. 3 x 6 x 10 =
3 x 6 =
1 8
1 8 x 1 0 =
1 8 0
1 8 0
2018WDN

189. 5 x 4 =
2 0
2 0 x 7 =
1 4 0 . .
1 4 0
2015

190. 8 x 5 x 3 =
8 x 5 =
4 0
4 0 x 3 =
1 2 0 . .
1 2 0
2015WDN

191. Multiply a single-digit number by 100

192. H T O
3 x 1 0 = 3 0
3 x 100 =
300
0 0 3
3 0 x 1 0 = 3 0 0
100 x 5 =
H T O
5 x 1 0 = 5 0
500
0 0 5
5 0 x 1 0 = 5 0 0
H T O
8 x 1 0 = 8 0
8 x 100 =
800
0 0 8
8 0 x 1 0 = 8 0 0

193. 3 x 100 =
300

194. 5 x 100 =
500

195. 8 x 100 =
800

196. Multiply a single-digit number by a multiple of 100

197. 3 x 300 =
Th H T O
900
0 0 9
500 x 5 =
Th H T O
2500
2 5
0 0
8 x 800 =
Th H T O
6400
6 4
0 0

198. Multiply by a three-digit number using the grid method

199. 5 x 123 =
234 x 4 =
615
936
100 20 3
200 30 4
100 20 3
200 30 4 5
500
100 15 4
800
120 16
1 0 0 x 5 =
5 0 0
2 0 0 x 4 =
8 0 0
2 0 x 5 =
1 0 0
3 0 x 4 =
1 2 0
5 0 0
1 0 0
1 5 +
8 0 0
1 2 0
1 6 + 6 1 5 9 3 6

200. 5 x 123 =
615
5 0 0
1 0 0
100 20 3 +
1 5 6 1 5 5

201. 234 x 4 =
936
8 0 0
1 2 0
200 30 4 +
1 6 9 3 6 4

202. 4 x 255 =
652 x 9 =
1020
5868
200 50 5
600 50 2
200 50 5
600 50 2 4
800
200 20 9
5400
450 18
2 0 0 x 4 =
8 0 0
6 0 0 x 9 =
5 0 x 4 =
2 0 0
5 0 x 9 =
4 5 0
8 0 0
2 0 0
2 0 +
4 5 0
1 8 +
1 0 2 5 8 6 8

203. Multiply by a three-digit number using the expanded column method

204. 353 x 2 =
457 x 5 =
293 x 7 =
706
2285
2051
3 5 3 2 x
4 5 7 5 x
2 9 3 7 x 6
3 5 1
2 1
1 0
2 5
6 3 6
0 0
2 0
0 0
1 4
0 0 7 6 2 2 8 5 2 5 1

205. Multiply by a three-digit number using the column method

206. 2 2
167 x 4 =
6 6 8
1 6 7 x 4 6 6 8 2 2
879 x 3 =
8 7 9 x 3
2 6 3 7 2 2
4 x 867 =
8 6 7 x 4
3 4 6 8

207. 1 2 3 x 2 2 4 6
2 4 6
2015

208. 432 x 2 =
4 3 2 x 2 8 6 4
8 6 4
2015WDN

209. 187 x 3 = 2 2
1 8 7 x 3 5 6 1
5 6 1
2017WDN

210. Divide a multiple of 10 by a single-digit number mentally

211. 10 10 10 10 10 10
420 ÷ 7 = 60 70
140
210
280
350
420 10 10 10 10 10 10
360 ÷ 6 = 60 60
120
180
240
300
360 10 10 10 10 10 10 10 10
720 ÷ 9 = 80 90
180
270
360
450
540
630
720

212. 10 10 10 10 10 10
420 ÷ 7 = 60 70
140
210
280
350
420

213. 10 10 10 10 10 10
360 ÷ 6 = 60 60
120
180
240
300
360

214. 10 10 10 10 10 10 10 10
720 ÷ 9 = 80 90
180
270
360
450
540
630
720

215. .
1 8 ÷ 3 = 6 6 3
1 8 0
6 0 .
2019

216. . 9
2 7 ÷ 3 = 9 3
2 7 0
9 0 .
2018

217. 320 ÷ 4 = . 8
3 2 ÷ 4 = 8 4
3 2 0
8 0 .
2018WDN

218. 720 ÷ 8 = .
7 2 ÷ 8 = 9 9 8
7 2 0
9 0 .
2015WDN

219. .
6 3 ÷ 9 = 7 7 9
6 3 0
7 0 .
2015

220. .
1 2 1 ÷ 1 1 = 1 1 1 1
1 1 1
1 1 0 .
2019

221. 1210 ÷ 11 = .
1 2 1 ÷ 1 1 = 1 1 1 1
1 1 1
1 1 0 .
2015WDN

222. 1080 ÷ 12 = .
1 0 8 ÷ 1 2 = 9 9
1 2
9 0 .
2016WDN

223. .
1 3 2 ÷ 1 2 = 1 1 1 1
1 2 1
1 1 0 .
2016

224. .
1 4 4 ÷ 1 2 = 1 2 1 2
1 2 2
1 2 0 .
2015

225. Divide a multiple of 100 by a single-digit number mentally

226. 100
100
100
600 ÷ 2 =
300
200
400
600
100
100
100
100
100
100
100
3500 ÷ 5 =
700
500
1000
1500
2000
2500
3000
3500
100
100
100
100
100
100
100
100
2700 ÷ 3 =
900
300
600
900
1200
1500
1800
2100
2400

227. 5600 ÷ 8 = . . 7
5 6 ÷ 8 = 7 8
7 0 0 . .
2018WDN

228. . . 6
5 4 ÷ 9 = 6 9
6 0 0 . .
2018

229. Divide a three-digit number by a single-digit number using long division

230. 486 ÷ 3 =
581 ÷ 7 =
592 ÷ 8 =
1 6 2
8 3
7 4 1 6 2 8 3 7 4 3
4 8 6 7
5 8 1 8
5 9 2
– 3
– 5 6
– 5 6 1 8 2 1 3 2
– 1 8
– 2 1
– 3 2 6
– 6

231. Divide a three-digit number by a single-digit number using short division

232. 486 ÷ 3 =
1 6 2 1 6 2 3
4 8 6 1
581 ÷ 7 =
8 3 8 3 7
5 8 1 2
592 ÷ 8 =
7 4 7 4 8
5 9 2 3

233. 549 ÷ 3 = 1 8 3 3
5 4 9 2
1 8 3
2016WDN

234. 1 5 1 5 2
1 501
2015

235. 8050 ÷ 5 = 1 6 1 5 3
1 610
2015WDN

236. Solve missing number multiplication problems

237. = 164 x 6
3 x = 522
x 9 = 504
984
174 56 3 2
1 6 4 1 7 4 5 6 x 6 3
5 2 2 2 1 9
5 0 4 5 9 8 4

238. Solve missing number division problems

239. = 596 ÷ 2
632 ÷ = 8
÷ 9 = 304
298 79
2736 3 2 9 8 7 9
3 0 4 2
5 9 6 x 9 1 1 8
6 3 2 7
2 7 3 6

240. Divide by chunking with remainders

241. 69 ÷ 2 =
34r1 10 10 10 r1 20 40 60 62 64 66 68 69
124 ÷ 3 =
41r1 10 10 10 10 r1 30 60 90
120
123
124
135 ÷ 4 =
33r3 10 10 10 r3 40 80
120
124
128
132
135

242. 69 ÷ 2 =
34r1

243. 124 ÷ 3 =
41r1

244. 135 ÷ 4 =
33r3

245. Divide using long division with remainders

246. 69 ÷ 2 =
124 ÷ 3 =
135 ÷ 4 =
34r1
41r1
33r3 3 4
r 1 4 1
r 1 3 3
r 3 2
6 9 3
1 2 4 4
1 3 5
– 6
– 1 2
– 1 2 9 4 1 5
– 8
– 3
– 1 2 1 1 3

247. 69 ÷ 2 =
34r1 3 4
r 1 2
6 9
– 6 9
– 8 1

248. 124 ÷ 3 =
41r1 4 1
r 1 3
1 2 4
– 1 2 4
– 3 1

249. 135 ÷ 4 =
33r3 3 3
r 3 4
1 3 5
– 1 2 1 5
– 1 2 3

250. Divide using short division with remainders

251. 69 ÷ 2 =
34r1 3 4
r 1 2
6 9
124 ÷ 3 =
41r1 4 1
r 1 3
1 2 4
135 ÷ 4 =
33r3 3 3
r 3 4
1 3 5 1

252. 69 ÷ 2 =
34r1 3 4
r 1 2
6 9

253. 124 ÷ 3 =
41r1 4 1
r 1 3
1 2 4

254. 135 ÷ 4 =
33r3 3 3
r 3 4
1 3 5 1

255. Multiplication and Division by 10, 100 and 1000

256. Multiply 2, 3, 4 or 5-digit numbers by 10

257. 28 x 10 =
HTh TTh Th H T O
280
2 8
509 x 10 =
HTh TTh Th H T O
5090
86054 x 10 =
HTh TTh Th H T O
860540

258. Multiply 2, 3 or 4 digit numbers by 100

259. 63 x 100 =
HTh TTh Th H T O
6300
6 3
0 0
700 x 100 =
HTh TTh Th H T O
70000
0 0
5008 x 100 =
HTh TTh Th H T O
500800
0 0

260. . .
41 200 . .
2016

261. 100 x 319 = . .
31 900 . .
2016WDN

262. . . . .
10 000 . . . .
2015

263. Multiply 2 or 3 digit numbers by 1000

264. 6 x 1000 =
HTh TTh Th H T O
6000 6
78 x 1000 =
HTh TTh Th H T O
78000
7 8
201 x 1000 =
HTh TTh Th H T O
201000

265. . . .
101,000 . . .
2019

266. . . .
2,345,000 . . .
2017

267. 6543 x 1000 = . . .
6,543,000 . . .
2017WDN

268. Divide 3, 4, 5 and 6 digit multiples of 10 by 10

269. 240 ÷ 10 =
HTh TTh Th H T O 24
2 4
2 4 0 ÷ 1 0 = 2 4
4500 ÷ 10 =
HTh TTh Th H T O
450
÷ 1 0 = 4 5 0
÷ 10 =
HTh TTh Th H T O
60706
÷ 1 0 =

270. Divide a 4, 5 or 6 digit multiple of 100 by 100

271. 4300 ÷ 100 =
HTh TTh Th H T O 43
4 3
0 0
÷ = 4 3
12300 ÷ 100 =
HTh TTh Th H T O
123
0 0
÷ = 1 2 3
÷ 100 =
HTh TTh Th H T O
4500
0 0
÷ =

272. Divide 5 or 6 digit multiples of 1000 by 1000

273. 3000 ÷ 1000 =
HTh TTh Th H T O 3 3
÷ = 3
50000 ÷ 1000 =
HTh TTh Th H T O 50
5 0
÷ = 5 0
÷ 1000 =
HTh TTh Th H T O
802
÷ = 8 0 2

274. Solve missing number problems for multiplying by 10, 100 or 1000

275. 30 x = 30000
HTh TTh Th H T O
1000
3 0
78 x = 7800
HTh TTh Th H T O
100
0 0
7 8
2050 x = 20500
HTh TTh Th H T O 10

276. Solve missing number problems for dividing multiples of 10, 100 and 1000 by 10, 100 or 1000

277. 4000 ÷ = 400
HTh TTh Th H T O 10
÷ 1 0 = 4 0 0
52000 ÷ = 52
HTh TTh Th H T O
1000
5 2
÷ = 5 2
÷ = 8300
HTh TTh Th H T O
100
0 0
÷ =

278. Multiplication and Division within 1,000,000

279. Multiply a single-digit number by a multiple of 1000

280. 3 x 2000 =
HTh TTh Th H T O
6000 6
6000 x 5 =
HTh TTh Th H T O
30000
3 0
7 x 7000 =
HTh TTh Th H T O
49000
4 9

281. Multiply by a four-digit number using the grid method

282. 5 x 5289 =
26445
5000
200 80 9 5
25000
1000
400 45
5000
200 80 9
x 5 =
4 5 +
4 0 0
2 0 0 x 5 =
8 0 x 5 =
4 0 0 2 6 4 4 5

283. 3 x 7441 =
29323
7000
400 40 1 3
25000
1200
120 3
7000
400 40 1
x 3 = 3 +
1 2 0
4 0 0 x 3 =
4 0 x 3 =
1 2 0 2 9 3 2 3

284. Multiply by a four-digit number using a written method

285. 2 1
3084 x 3 =
9252 x 3 9 2 5 2 2 3
3516 x 5 =
17580 x 5
1 7 5 8 4 1 4
9 x 1515 =
13635 x 9
1 3 6 3 5

286. Multiply two multiples of 10

287. 70 x 60 =
4200
7 x 6 =
4 2
7 0 x 6 0 =
50 x 80 =
4000
5 x 8 =
4 0
5 0 x 8 0 =
90 x 90 =
8100
9 x 9 =
8 1
9 0 x 9 0 =

288. 70 x 60 =
4200
HTh TTh Th H T O
4 2
7 x 1 0 x
6 x 1 0
50 x 80 =
4000
HTh TTh Th H T O
4 0
5 x 1 0 x
8 x 1 0
90 x 90 =
8100
HTh TTh Th H T O
8 1
9 x 1 0 x
9 x 1 0

289. . .
3 x 4 = 1 2 . .
2017

290. 20 x 60 = . .
2 x 6 = 1 2 . .
2017WDN

291. . .
5 x 7 = 3 5 . .
2016

292. 40 x 60 = . .
4 x 6 = 2 4 . .
2016WDN

293. Multiply two two-digit numbers using the grid method

294. 66 x 53 =
3498 50 3 60
3000
180 60 6 50 3 6
300 18
6 0 x 5 0 =
1 8 +
1 8 0
3 0 0
6 0 x 3 =
1 8 0
6 x 5 0 =
3 0 0 3 4 9 8

295. 73 x 45 =
3285 40 5 70
2800
350 70 3 40 5 3
120 15 1
7 0 x 4 0 =
1 5 +
3 5 0
1 2 0
7 0 x 5 =
3 5 0
3 x 4 0 =
1 2 0 3 2 8 5

296. Multiply two two-digit numbers using long multiplication

297. 1 1 1 7 1 8 1 5 4 5 3 x 4 6 x 3 7 x 2 3 x 5 6 1 1
4 2 6
5 6 7
1 6 2
3 1 8
2 8 4
2 4 3
1 0 8
2 6 5 3 2 6 6 2 9 9 7 1 2 4 2 2 9 6 8

298. Multiply a multiple of 100 by a multiple of 10

299. 700 x 60 =
42000
7 x 6 =
4 2
7 0 0 x 6 0 =
500 x 80 =
40000
5 x 8 =
4 0
5 0 0 x 8 0 =
900 x 90 =
81000
9 x 9 =
8 1
9 0 0 x 9 0 =

300. 700 x 60 =
42000
HTh TTh Th H T O
0 0
4 2
7 x 1 0 0 x
6 x 1 0
500 x 80 =
40000
HTh TTh Th H T O
4 0
0 0
5 x 1 0 0 x
8 x 1 0
900 x 90 =
81000
HTh TTh Th H T O
8 1
0 0
9 x 1 0 0 x
9 x 1 0

301. Multiply a three-digit number by a two-digit number using the grid method

302. 56 x 234 =
13104
200 30 4 50
10000
1500
200 50 6
200 30 4 6
1200
180 24 1 1
5 0 x =
2 4 +
2 0 0
1 8 0
5 0 x 3 0 =
5 0 x 4 =
2 0 0
6 x =
6 x 3 0 =
1 8 0 1 3 1 4

303. 94 x 517 =
48598
500 10 7 90
45000
900
630 90 4
500 10 7 4
2000 40 28 1
9 0 x =
2 8 +
6 3 0
4 0
9 0 0
9 0 x 1 0 =
9 0 0
9 0 x 7 =
6 3 0
4 x =
4 x 1 0 =
4 0 4 8 5 9 8

304. Multiply a three-digit number by a two-digit number using long multiplication

305. 2 1 1 1 3 4 3 1 2 1 3 3 6 9 4 7 8 5 6 7 8 x 3 4 2 3 x 5 4 x 1 1 1
2 7 7 6
2 3 5 5
2 7 1 2
2 0 8 2
1 5 7
3 3 9 2 3 5 9 6 1 8 5 5 3 6 6 1 2

306. 3 1 4 5 1 4 2 4 2 2 4 1 8 8 3 6 5 6 9 x 4 6 x 2 7 x 6 3 1 1 1
2 5 8
5 8 5 2
1 7 7
1 6 7 2
1 6 7 2
3 4 1 4 1 9 2 2 8 2 2 5 7 2 3 5 8 4 7

307. 3 1 6 8 1 9 4 7 1
5 7 3 3
3 2 7 6 3 8 4 9 3
38 493
2017WDN

308. Multiply a four-digit number by a two-digit number using long multiplication

309. 2 1 1 1 3 2 2 2 5 4 4 3 8 6 2 4 7 8 1 5 9 6 7 x 3 4 x 2 3 x 6 1 1 1 1
1 5 4 4 8
1 4 3 4 3 1 5 9 6 7
1 1 5 8 6 9 5 6 2
3 5 8 2 1 3 1 3 8
1 0 9 9 6 3 3 6 3 9 8 7

310. 1 2 1 1 1 6 5 7 4
1 9 7 2 2 2 3 7 9 4
2016

311. 2 4 4 3 1 2 2 1 1 1 1 2 1 2 1 3 4 6 8 5 4 1 3 7 3 1 2 x 6 2 x 8 6 x 9 7 1 1 1 1 1 1 6 9 3 6
3 2 4 7 8
5 1 1 8 4
2 0 8 8
4 3 3 4
6 5 8 8 2 1 5 1 6 4 6 5 5 1 8 7 9 2 6 4

312. x
4 2 6 9 1 6 1 1
1 3 8 3 2 1 2 3 1 4 5 2 3 6 1 1

313. x
6 3
1 2 6 2 1 2
2 5 2 4 2 1 4 2 6 5 4 1 1

314. Solve multiplication problems with missing digits

315. 3 1 2 3 3 2 1 1 1 4 1 8 4 1 2 6 5 1 8 7 1 6 x 8 2 7 x 4 2 x 5 8 3 1 1 1 1 1 1
5 8 8 8 4
1 3 3 6 1
5 6 8 4 8
6 7 2 9 6 2 6 7 2
3 5 5 3 7 3 1 8 4 4 2 7 3 7 5 6 4 1 2 1 4 8
2 x = 4 2
x = 1 3
6 x = 8 8 4
2 x = 4 7 1 6
x 2 = 1 2
6 x 3 = 1 8
6 x 8 = 4 8
x = 5 8
8 x = 2 4 3 8
x 7 = 5 6
8 x 4 = 3 2
8 x 9 = 7 2

316. Divide using short division

317. 5862 ÷ 3 =
2954 2 9 5 4 3 2 1 1
5184 ÷ 6 =
864 8 6 4 6 3 2
9863 ÷ 7 =
1409 1 4 9 7 2 6

318. Divide using short division with remainders

319. 5862 ÷ 5 =
1172 r2 1 1 7
2 r2 5 3 1
4989 ÷ 9 =
554 r3 5 5
4 r3 9 4 3
8861 ÷ 6 =
1476 r5 1 4 7
6 r5 6 2 4 4

320. Solve division problems with missing digits

321. 1 7 5 2 6 5 3 2 3 6 3 5 2 2 1 5 6 5 3 2 6 2 1 5 4 9 1 2 2 2 4 1 2 x 4 9 2 2 4

322. Divide a multiple of 10 by a multiple of 10

323. 420 ÷ 70 = 6 70
140
210
280
350
420
4 2 0 ÷ 7 0 = 6
360 ÷ 60 = 6 60
120
180
240
300
360
3 6 0 ÷ 6 0 = 6
720 ÷ 90 = 8 90
180
270
360
450
540
630
720
7 2 0 ÷ 9 0 = 8

324. Divide a multiple of 100 by a multiple of 10

325. 10 10 10
600 ÷ 20 = 30
200
400
600
6 0 0 ÷ 2 0 =
3 0 10 10 10 10 10 10 10
3500 ÷ 50 = 70
500
1000
1500
2000
2500
3000
3500
÷ 5 0 =
7 0 10 10 10 10 10 10 10 10
2700 ÷ 30 = 90
300
600
900
1200
1500
1800
2100
2400
÷ 3 0 =
9 0

326. Multiply two multiples of 100

327. 800 x 600 =
480000
8 x 6 =
4 8
8 0 0 x =
500 x 900 =
450000
5 x 9 =
4 5
5 0 0 x =
700 x 700 =
490000
7 x 7 =
4 9
7 0 0 x =

328. 800 x 600 =
480000
HTh TTh Th H T O
0 0
0 0
4 8
8 x 1 0 0 x
6 x 1 0 0
500 x 900 =
450000
HTh TTh Th H T O
4 5
0 0
0 0
5 x 1 0 0 x
9 x 1 0 0
700 x 700 =
490000
HTh TTh Th H T O
0 0
4 9
0 0
7 x 1 0 0 x
7 x 1 0 0

329. 200 x 200 = . . . .
40 000 . . . .
2015WDN

330. Divide a multiple of 100 by a multiple of 100

331. 600 ÷ 200 = 3
200
400
600
6 0 0 ÷ = 3
3500 ÷ 500 = 7
500
1000
1500
2000
2500
3000
3500
÷ = 7
2700 ÷ 300 = 9
300
600
900
1200
1500
1800
2100
2400
÷ = 9

332. Solve missing number multiplication problems using knowledge of multiples of 10 and 100

333. 7 x = 2800
= 9 x 800
x 90 = 450
400
7200 5
2 8 ÷ 7 = 4
9 x 8 = 7 2
4 5 ÷ 9 = 5
÷ 7 = 4 0 0
4 5 0 ÷ 9 0 = 5
x 7 = 630
x 300 = 1500
= 6 x 50 90 5
300
6 3 ÷ 7 = 9
1 5 ÷ 3 = 5
6 x 5 = 3 0
6 3 0 ÷ 7 = 9 0
÷ = 5

334. 200 x =
x 800 = 24000
700 30
1 4 ÷ 2 = 7
2 4 ÷ 8 = 3
÷ = 7 0 0
÷ = 3 0
40 x = 1200
x 50 = 25000 30
300
1 2 ÷ 4 = 3
2 5 ÷ 5 = 5
÷ 4 0 = 3 0
÷ 5 0 = 3 0 0

335. Solve missing number division problems using knowledge of multiples of 10 and 100

336. 3600 ÷ = 6
÷ 8 = 70
600
560
3 6 ÷ 6 = 6
7 x 8 = 5 6
÷ 6 = 6 0 0
7 0 x 8 = 5 6 0
÷ 5 = 600
720 ÷ = 8
3000 90
6 x 5 = 3 0
7 2 ÷ 8 = 9
6 0 0 x 5 =
7 2 0 ÷ 8 = 9 0
÷ 800 = 7
÷ 40 = 8
5600
320
7 x 8 = 5 6
8 x 4 = 3 2
7 x =
8 x 4 0 = 3 2 0

337. ÷ = 700
500
3 5 ÷ 7 = 5
÷ = 5 0 0
÷ 200 = 90
18000
9 x 2 = 1 8
9 0 x =
÷ 700 = 700
490000
7 x 7 = 4 9
7 0 0 x =

338. 64000 ÷ = 800 80
6 4 ÷ 8 = 8
÷ = 8 0
÷ 60 = 20
1200
2 x 6 = 1 2
2 0 x 6 0 =
2400 ÷ = 60 40
2 4 ÷ 6 = 4
÷ 6 0 = 4 0

339. Multiples, Factors, Primes, Squares and Cubes

340. Identify multiples

341. Answer true or false: 48 is a multiple of 3 250 is a multiple of 100
A multiple of a number can be divided by that number without leaving a remainder.
For example, the first five multiples of 4 are 4, 8, 12, 16 and 20.
Answer true or false:
48 is a
multiple
of 3
250 is a
multiple
of 100
365 is a
multiple
of 9
104 is a
multiple
of 8
True
False
False
True 1 6
2 r50 4
0 r5 1 3 3
4 8
1 0 0
2 5 0 9
3 6 5 8
1 0 4 1 2

342. Find multiples and the lowest common multiple of two numbers

343. A multiple of a number can be divided by that number without leaving a remainder.
The first five multiples of 4 are 4, 8, 12, 16 and 20.
The first five multiples of 5 are 5, 10, 15, 20 and 25.
A common multiple of two numbers can be divided by both numbers without leaving a remainder.
20 is the lowest common multiple of 4 and 5.
20 ÷ 4 = 5 and 20 ÷ 5 = 4
40 is a common multiple of 4 and 5.
40 ÷ 4 = 10 and 40 ÷ 5 = 8
8 is not a common multiple of 4 and 5.
8 ÷ 4 = 2 but 8 ÷ 5 = 1 remainder 3

344. Answer true or false: 48 is a common multiple of 3 and 8 104 is a6 1 3
2 4 ÷ 6 = 4 3
4 8 1 8
1 0 4 2
2 4 ÷ 7 = 3 r3
4 8 ÷ 8 = 6
1 0 4 ÷ 9 = 1 1 r5

345. 24 is the lowest common multiple of 4 and 6 False
Answer true or false:
24 is the lowest common multiple of 4 and 6
False
Multiples of 4: 4, 8, 12, 16, 20, 24
Multiples of 6: 6, 12, 18, 24
36 is the lowest common multiple of 6 and 9
False
Multiples of 6: 6, 12, 18, 24, 30, 36
Multiples of 9: 9, 18, 27, 36

346. Identify factor pairs

347. Factors are numbers that divide exactly into another number.
For example, the factors of 8 are 1, 2, 4 and 8.
8 ÷ 1 = 8
8 ÷ 2 = 4
8 ÷ 4 = 2
8 ÷ 8 = 1
Why is 3 not a factor of 8?
8 ÷ 3 = 2 remainder 2
If you get a remainder when you divide by the number, it’s not a factor.

348. Factors of 12:
1, 2, 3, 4, 6, 12
1 and 12
12 ÷ 1 = 12
12 ÷ 12 = 1
2 and 6
12 ÷ 2 = 6
12 ÷ 6 = 2
3 and 4
12 ÷ 3 = 4
12 ÷ 4 = 3

349. Factors of 16: 1, 2, 4, 8, 16 1 and 16 16 ÷ 1 = 16 16 ÷ 16 = 1 2 and 8
16 ÷ 2 = 8
16 ÷ 8 = 2 4
16 ÷ 4 = 4

350. Factors of 20:
1, 2, 4, 5, 10, 20
1 and 20
20 ÷ 1 = 20
20 ÷ 20 = 1
2 and 10
20 ÷ 2 = 10
20 ÷ 10 = 2
4 and 5
20 ÷ 4 = 5
20 ÷ 5 = 4

351. Find common factors and the highest common factor of two numbers

352. Common factors of two numbers are the factors that they share.
1, 2, 3, 4, 6 and 12 are factors of 12.
1, 2, 3, 5, 6, 10, 15 and 30 are factors of 30.
The common factors of 12 and 30 are 1, 2, 3 and 6.
The highest common factor of two numbers is the largest number that can be divided into both numbers.
The highest common factor of 12 and 30 is 6.

353. Common factors of 6 and 9: 1, 3 Common factors of 14 and 35: 1, 7
highest common factor
Factors of 6:
Factors of 9:
1 x 6 = 6
→ 1 and 6
1 x 9 = 9
→ 1 and 9
2 x 3 = 6
→ 2 and 3
3 x 3 = 9
→ 3
Common factors of 14 and 35:
1, 7
highest common factor
Factors of 14:
Factors of 35:
1 x 14 = 14
→ 1 and 14
1 x 35 = 35
→ 1 and 35
2 x 7 = 14
→ 2 and 7
5 x 7 = 35
→ 5 and 7

354. Common factors of 27 and 36: 1, 3, 9 1 x 27 = 27 → 1 and 27
highest common factor
Factors of 27:
Factors of 36:
1 x 27 = 27
→ 1 and 27
1 x 36 = 36
→ 1 and 36
3 x 9 = 27
→ 3 and 9
2 x 18 = 36
→ 2 and 18
3 x 12 = 36
→ 3 and 12
4 x 9 = 36
→ 4 and 9
6 x 6 = 36
→ 6

355. Use factor pairs in mental calculations for multiplication

356. 37 x 18 =
21 x 21 =
52 x 32 =
666
441
1664
2 x 9
3 x 7
4 x 8 1
3 7 2 x
2 1 3 x
5 2 4 x 7 4 6 3
2 0 8 3 2 6
7 4 9 x
6 3 7 x
2 0 8 x 8
6 6 6
4 4 1
1 6 6 4

357. 4 x 6 =
3 x 8 = 24 24
2 x 3
2 x 4
4 x 2 = 8
3 x 2 = 6
8 x 3 = 2 4
6 x 4 = 2 4

358. Identify prime numbers and composite numbers

359. A prime number is a number which has only two factors: itself and 1.
1 is not a prime number because it has only one factor (itself).
The first four prime numbers are 2, 3, 5 and 7.
Why is 4 not a prime number?
It has 3 factors: 1, 2 and 4.
Why is 5 a prime number?
It has 2 factors: 1 and 5.
Why is 6 not a prime number?
It has 4 factors: 1, 2, 3 and 6.
Why is 7 a prime number?
It has 2 factors: 1 and 7.
To find out if a number is a prime number, find out if it is a multiple of one of the first four prime numbers (2, 3, 5 and 7).
If it is a multiple of 2, 3, 5 or 7, then it is not a prime number.
A composite number is any number that is not a prime number.

360. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99
100

361. Identify each of the numbers below as prime or composite:
171:
911:
427:
Composite
Prime
Composite 8
5 r1 4 5
5 r1 2 1
3 r1 2
1 7 1 1 2
9 1 1 1 1 2
4 2 7 5 7 3
3 r2 1 4
2 r1 3
1 7 1 2 3
9 1 1 1 3
4 2 7 1 1 8
2 r2 8
5 r2 5
9 1 1 4 1 5
4 2 7 2 1 3
0 r1 6 1 7
9 1 1 2 7
4 2 7

362. Find prime factors

363. Prime factors of 70:
Prime factors of 75:
Prime factors of 100:
7 x 5 x 2
5 x 5 x 3
5 x 5 x 2 x 2 70 70 75 75
100
100 10 7 35 2 15 5 25 3 10 10 50 2 5 2 5 7 5 3 5 5 2 5 2 5 5 10
A factor which is also a prime number is a prime factor. 2 5
To find the prime factors of a number we can use a factor tree.

364. Identify square numbers

365. When a number is multiplied by itself you get a square number
When a number is multiplied by itself you get a square number. It is called a square number because you can show its factors as a square array. 1 4 9
1 = 1 2 16 25
2 = 4 2 36
3 = 9 2
4 = 16 2
5 = 25 2
6 = 36 2

366. 49 64 81
7 = 47 2
8 = 64 2
9 = 81 2

367. 7² + 4² = 65
7 x 7 = 4 9
4 x 4 = 1 6 =
6 5
10² – 3² = 91
1 0 x 1 0 = 1 0 0
3 x 3 = 9
– 9 =
9 1
8² – 4² = 48
8 x 8 = 6 4
4 x 4 = 1 6
6 4 – 1 6 =
4 8

368. 4 x 4 =
1 6
2015

369. 6² =
6 x 6 =
3 6
2015WDN

370. 3 x 3 = 9 =
1 9
2016

371. 5² + 20 =
5 x 5 = 2 5 =
4 5
2016WDN

372. 6 x 6 = 3 6
= 4 6
4 6
2018

373. = 2
7 x 7 = 4 9
= 6 9
6 9
2018WDN

374. Find square numbers by squaring multiples of 10 or 100

375. 50² =
2500
5 0 x 5 0 =
90² =
8100
9 0 x 9 0 =
300² =
90000
3 0 0 x =
700² =
490000
7 0 0 x =

376. ² = 81 9
9 x 9 = 8 1
2 x 2 = 4
² = 400 20
2 0 x 2 0 =
4 0 0
4 x 4 = 1 6
² =
400
4 0 0 x =
8 x 8 = 6 4
² =
800
8 0 0 x =

377. Identify cube numbers

378. When you multiply a number by itself, and then multiply it by itself again, you get a cube number.
1 x 1 x 1 = 1
1 = 1 3
2 x 2 x 2 = 8
2 = 8 3
3 x 3 x 3 = 27
3 = 27 3

379. 4 x 4 x 4 = 64
5 x 5 x 5 = 125
4 = 64 3
5 = 125 3

380. 3 x 3 x 3 =
9 x 3 =
2 7
2019

381. Find cube numbers using multiplication

382. 6³ =
7³ =
8³ =
9³ =
216
343
512
729
6 x 6 = 3 6
7 x 7 = 4 9
8 x 8 = 6 4
9 x 9 = 8 1 3 6 3
3 6 6 x
4 9 7 x
6 4 8 x
8 1 9 x
2 1 6
3 4 3
5 1 2
7 2 9

383. Order of Operations and Long Division

384. Perform mental calculations involving brackets

385. (2 x 35) + (60 ÷ 3) = 90
2 x 3 5 = 7 0
6 0 ÷ 3 = 2 0
= 9 0
70 ÷ (14 – 4) = 7
1 4 – 4 = 1 0
7 0 ÷ 1 0 = 7
4 0 ÷ 5 = 8
40 + (40 ÷ 5) = 48
= 4 8
= 2 0 0
3 4 – 4 = 3 0
( ) x (34 – 4) =
6000
2 0 0 x 3 0 =

386. 6 0 ÷ 6 =
1 0
2019

387. 3 6 ÷ 6 = 6 =
5 6
2017

388. 40 + (49 ÷ 7) =
4 9 ÷ 7 = 7 =
4 7
2017WDN

389. Apply knowledge of the order of operations

390. 20 – 4 x 2 =
x 2 =
1 2
4 0
2 0 – 8 = =
60 – 42 ÷ 6 =
÷ 10 =
5 3
8 2
4 2 ÷ 6 = 7
2 0 ÷ 1 0 = 2
6 0 – 7 = =
9² – 36 ÷ 9 =
8² + 24 ÷ 4 =
7 7
7 0
8 1 – 3 6 ÷ 9 =
÷ 4 =
8 1 – 4 = =

391. Use factor pairs in mental calculations for division

392. 414 ÷ 18 =
819 ÷ 21 =
1888 ÷ 32 = 23 39 59
2 x 9
3 x 7
4 x 8 2 7 2 7 3 4 7 2 2
4 1 4 1 3
8 1 9 2 4 2 2 3 3 9 5 9 9
2 0 7 2 7
2 7 3 6 8
4 7 2 7

393. 24 ÷ 6 =
24 ÷ 8 = 4 3
3 x 2
4 x 2
2 4 ÷ 3 = 8
2 4 ÷ 4 = 6
8 ÷ 2 = 4
6 ÷ 2 = 3

394. Divide by a two-digit number with a single-digit quotient

395. 120 ÷ 15 =
39 ÷ 13 =
188 ÷ 47 = 8 3 4 1
1 5 1x
1 3
4 7 1x 1x
3 0 2x
+ 1 3
+ 4 7 1
4 5 3x 2 6 9 4 2x 2x
6 0
+ 1 3
+ 4 7 4x
7 5 5x 3 9
1 4 1 3x 3x
9 0
+ 4 7 6x
1 0 5 1 8 8 7x 4x
1 2 0 8x

396. 258 ÷ 43 = 6
4 3 1x 1
+ 4 3
1 2 9 3x 8 6 2x 3x
+ 4 3 2 5 8 6x 1
1 2 9 3x
+ 4 3
1 0 x 4 3 = 4 3 0 1 1 7 2
5 x 4 3 = 2 1 5 4x
+ 4 3
4 3 0 2 1 2 1 5 5x
+ 4 3 2 5 8 6x

397. 153 ÷ 17 = 9 1 1
1 7
8 5
1 0 x 1 7 = 4 3 0 1x 5x
+ 1 7
+ 1 7
5 x 1 7 = 8 5 1 3 4
1 0 2
1 7 0 2 2x 6x 1
+ 1 7
+ 1 7 6 1 5 1 1 1 9
1 0 x 1 7 = 1 7 0 3x 7x 1
+ 1 7
+ 1 7
1 x 1 7 = – 1 1 6 8 1 3 6
9 x 1 7 = 1 5 4x 3 8x
+ 1 7
+ 1 7 8 5 1 5 3 5x 9x

398. 1 x = 1 5
2 x = 3 0
3 x = 4 5
4 x = 6 0 4
2018

399. 125 ÷ 25 =
1 x = 2 5
2 x = 5 0
3 x = 7 5
4 x = 1 0 0
5 x = 1 2 5 5
2018WDN

400. Begin to divide by a 2-digit number using long division by calculating to 5 times

401. 1 5
4 3 2 5
3 4 1x 1x 4 3 6 4 5
+ 4 3 3 4 7 8 5 1
+ 3 4 1
- 4 3 8 6
- 6 8 6 8 2x 2x 2 1 5
+ 4 3 1 7
+ 3 4 1
1 2 9
1 0 2 3x 3x
+ 4 3
+ 3 4 1 1 1 7 2 1 3 6 4x 4x
+ 4 3
+ 3 4 2 1 5 1 7 5x 5x

402. 1 5
3 9 3 5 1
1 3 1x 1x 3 9 4 5 8 5 1
7 8 1 3 4 5 6 3
+ 1 3 2x
- 3 9
1 1 7
- 3 9 2 6 3x 2x 1 9 5
1 5 6 6 6
+ 1 3 4x 1
1 9 5
- 6 5 3 9 5x 3x 1 3
+ 1 3 5 2 4x
+ 1 3 6 5 5x

403. 1 3 4
1 8
1 x 1 8 6 1 2
+ 1 8 1
- 5 4 3 6
2 x 7 2
+ 1 8 1 5 4
3 x
+ 1 8 1 7 2
4 x
+ 1 8 9
5 x
3 4
2017WDN

404. Divide by a 2-digit number using long division

405. 1 1 5 6
3 6 7 2
4 7 1x 1x 3 6 2 1 6
+ 3 6 4 7 3 3 8 4
+ 4 7 1 7 2 9 4 2x 2x 2 1 6
+ 3 6 9 4
+ 4 7 1
1 0 8
1 4 1 3x 3x
+ 3 6
+ 4 7 1 1 1 1 4 4 1 8 8 4x 4x
+ 3 6
+ 4 7 1 1 1 8 2 3 5 5x 5x
+ 3 6
+ 4 7 1 2 1 6 2 8 2 6x 6x
+ 4 7 3 2 9 7x

406. Divide by a 2-digit number using the most efficient method

407. 1 3 8
5 9
9 7 1x 5 9 1 2 4 1 1 2 1 2
+ 5 9 8 3 8 1 5 1
1 1 8 2x 2 9 4 7 2
+ 5 9
1 0 0 x 8 3 = 1 1 1 1 1 7 7
9 7 x 8 3 – 3x
+ 5 9
3 x 8 3 = 2 4 9 1 2 3 6 4x
+ 5 9
8 3 1x 1 1 2 9 5
1 6 6 5x 2x
1 7 7
2 4 9 3x 3x 4 7 2 8x

408. 8 3
1 x 9 7
1 6 6
2 x
2 4 9
3 x
3 3 2
4 x
5 8 1
4 1 5
5 x
4 9 8
6 x
5 8 1
7 x
6 6 4
8 x
7 4 7
9 x
8 3 0
1 0 x
9 7
2019

409. 9 8
1 x 8 2
1 9 6
2 x 9 8 8 3 6
2 9 4
3 x
3 9 2
4 x
1 9 6
4 9 0
5 x
5 8 8
6 x
6 8 6
7 x
7 8 4
8 x
8 8 2
9 x
9 8 0
1 0 x
8 2
2018WDN