2. 1 Number MENU Main MENU Long Division teacher examples Long Division questions Short division. 10 quickfire 1 Short division. 10 quickfire 2 Short multiplication. 10 quickfire Big multiplication. 10 quickfire Total Cost 1. 10 quickfire Total Cost 2. 10 quickfire Sum Subtract Product. Whole numbers Short Division questions Short Division teacher examples Short ÷ with remainders teacher examples Short ÷ with remainders questions Short ÷ rounding to 2 dp teacher examples Short ÷ rounding to 2 dp questions Short multiplication teacher examples Short multiplication questions Long multiplication teacher examples Long multiplication questions Notes on Teacher examples Teacher’s notes on quickfire Significant Figures Questions Order of Operations ( BIDMAS ) Order of Operations ( BIDMAS ) Questions

3. 2 Notes on Teacher Examples Teacher example questions have been left blank and animation free due to the sheer variety of approaches used by pupils to solve the problems. The teacher can work through the problems either by using the interactive pens if available or simply use a whiteboard pen on a normal whiteboard. Menu

4. 3

5. 4 Example 1 357 ÷ 21 Menu Ken wishes to walk 357 miles in 21 days. How many miles per day will he have to walk ?

6. 5 Example 2 720 ÷ 45 Menu Doug needs to blow up 720 balloons in 45 minutes for his daughter’s party. How many balloons per minute will he have to blow up ?

7. 6 Example 3 3196 ÷ 68 Menu Gareth listens to 3196 songs in 68 days. How many songs per day does he listen to ?

8. 7 Work out the following : 1) 180 ÷ 152)425 ÷ 25 3) 658 ÷ 144)672 ÷ 32 5) 720 ÷ 456)1392 ÷ 58 7) 3654 ÷ 428)5778 ÷ 27 9) 1312 ÷ 41 10)3888 ÷ 72 11) 792 ÷ 44 12)7750 ÷ 62 13) 4830 ÷ 35 14)31416 ÷ 84 15) 35713 ÷ 71 16)36765 ÷ 95 1217 47 21 16 24 87 214 32 54 18125 138374 503 387 Menu Answers

9. 8 Menu

10. 9 Example 1 96 ÷ 8 Menu Bob gets rained on a lot. Over the last 8 days 96 cm of rain fell on him. How many cm of rain per day was this ?

11. 10 Example 2 948 ÷ 3 Menu Gary takes ages to make a chess move. He takes 948 minutes to make 3 moves. How many minutes per move does he take ?

12. 11 Example 3 261 ÷ 3 Menu Mark watches too much T.V. In 3 weeks he watches 261 hours. How many hours per week is this ?

13. 12 Example 4 8037 ÷ 9 Menu Ted wants to swim 8037 metres over a period of 9 days. How many metres per day will he have to swim ?

14. 13 Example 5 3440 ÷ 8 Menu George receives 3440 letters of complaint over a period of 8 days. How many letters per day did he receive ?

15. 14 Work out the following. {Make sure you show all of your working} 1)91 ÷ 72)84 ÷ 63)642 ÷ 6 4)847 ÷ 75)344 ÷ 86)858 ÷ 6 7)5628 ÷ 28)6726 ÷ 39)2845 ÷ 5 10)3008 ÷ 411)7104 ÷ 612)8775 ÷ 9 1314107 12143143 2814 2242569 7521184975 Menu Answers

16. 15 Menu

17. 16 Example 1 36 ÷ 8 Menu Phil makes 36 burgers for a party with 8 people. How many burgers does each person get ? How many does he have left over ?

18. 17 Example 2 923 ÷ 4 Menu Captain Fair is going to share out 923 coins between 4 of his crew. How many will each get ? How many will be left over ?

19. 18 Work out the following : 1)31 ÷ 72)29 ÷ 53)716 ÷ 5 4)969 ÷ 65)269 ÷ 66)985 ÷ 9 7)983 ÷ 88)1963 ÷ 29)1402 ÷ 7 10)200 ÷ 611)6162 ÷ 712)991 ÷ 9 4 r3 5 r4143 r1 161 r3 44 r5109 r4 122 r7 981 r1200 r2 33 r2880 r2 110 r1 Menu Answers

20. 19 Menu

21. 20 Example 1 487 ÷ 6 Menu Reg spends £ 487 per year on dog food for 6 dogs. How much per dog is this ?

22. 21 Example 2 2941 ÷ 9 Menu Mel spends £ 2941 to go on a ‘round the world’ holiday lasting 9 weeks. How much per week is this costing ?

23. 22 Example 3283 ÷ 6 Menu Josh spends $ 283 for a 6 night stay at a camp site. How much per night is this ?

24. 23 Work out the following to 2 decimal places 1)255 ÷ 82)407 ÷ 33)864 ÷ 7 4)2687 ÷ 65)2501 ÷ 86)3127 ÷ 3 7)5153 ÷ 78)7005 ÷ 89)3951 ÷ 7 10)38192 ÷ 311)30108 ÷ 712)80047 ÷ 9 31.88 135.67123.43 447.83312.63 1042.33 736.14875.63564.43 12730.674301.14 8894.11 Menu Answers

25. 24 Menu

26. 25 Example 114 × 4 Menu Mike eats 4 cheeseburgers a day for 14 days. How many in total has he eaten ?

27. 26 Example 2 624 × 7 Menu Sid makes 624 snoring noises each night for 7 nights. How many snoring noises does he make in total ?

28. 27 Example 3450 × 6 Menu Wayne delivers 450 pizzas per week. How many over a 6 six week period does he deliver ?

29. 28 Example 4 306 × 5 Menu Fred has to photocopy 306 sheets. Each copy costs 5p. How much will it all cost ?

30. 29 Work out the following: 1)21 × 52)42 × 93)84 × 3 4)235 × 55)284 × 66)7351 × 8 7)140 × 68)402 × 59)607 × 4 10)3022 × 411)2406 × 312)3100 × 5 105378252 1175170458808 84020102428 12088721815500 Menu Answers

31. 30 Menu

32. 31 Example 124 × 16 Menu Sammy the snail can slither 24 cm in one minute. How far can he go in 16 minutes?

33. 32 Example 2 472 × 36 Menu A washing machine costs £ 472. Last year Steve sold 36 machines. How much was this worth ?

34. 33 Example 3 675 × 89 Menu A small tin of green paint holds 675 ml of paint. How much paint would there be in 89 tins ?

35. 34 If a pelican can eat 96 fish in a day how many would it eat in 482 days ? Example 4482 × 96 Menu

36. 35 Example 5 402 × 35 Menu Jimmy the cook earns £ 35 per day. How much will he earn after 402 days ?

37. 36 Example 6840 × 24 Menu Bill can do 840 press-ups in 1 hour. How many could he manage in 24 hours ?

38. 37 Work out the following : 1)37 × 182)46 × 233)67 × 84 4)324 × 655)364 × 586)743 × 62 7)304 × 478)905 × 269)420 × 44 10)354 × 64511)734 × 27812)305 × 893 666 10585628 2106021112 46066 14288 2353018480 228330204052272365 Menu Answers

39. 38 Menu

40. 39 There were 30,000 spectators at the game ! Actually there were 29,842 to 1 significant figure ! 298422 000020000 30000 Ignore 9 Closer so call it 30000 Menu

41. 40 Round 3,452,804 to 1 significant figure. Round 3,452,804 to 2 significant figures. Round 3,452,804 to 3 significant figures. 3,000,0003,000,000 4,000,000 Ignore 4 Closer so call it 3,000,000 3,4 00,0003,400,000 3,500,000 Ignore 5 Half way so call it 3,500,000 3,45 0,0003,450,000 3,460,000 Ignore 2 Closer so call it 3,450,000 Menu

42. 41 Round 470,538 to 1 significant figure. Menu Round 470,538 to 2 significant figures. Round 470,538 to 3 significant figures. 4 Ignore 00,000400,000 500,000 7 Closer so call it 500,000 47 0,000470,000 480,000 Ignore 0 Closer so call it 470,000 470,000 470,000 471,000 Ignore 5 Half way so call it 471,000

43. 42 Round 0.0063761 to 1 significant figure. Menu Round 0.0063761 to 2 significant figures. Round 0.0063761 to 3 significant figures. 0.006 0.007 Ignore 3 Closer so call it 0.006 0.0063 0.0064 Ignore 7 Closer so call it 0.0064 0.00637 0.00638 Ignore 6 Closer so call it 0.00638

44. 43 Work out the following : Round to 1 significant figure 1)134632)659763)9623 4)9745)0.77436)0.004821 7)54398)208539)4972 10)4.573211)0.146312)0.0005853 13)5023414)8055315)89583 16)5.810417)0.845318)0.0009543 Round to 2 significant figures Round to 3 significant figures 100007000010000 10000.80.005 5400210005000 4.60.150.00059 502008060089600 5.810.8450.000954 Menu Answers

45. 44 B I D M A S racketsrackets ndexndex ivideivide ultiplyultiplyd ubtractubtract Menu (Powers)

46. 45 2 + 3 × 4 = What do you think is the answer to this question ? ?14 If you don’t believe me check it with your scientific calculators ! The calculator is following the ORDER of BIDMAS. B I D M A S racketsrackets ndexndex ivideivide ultiplyultiply d ubtractubtract Menu (Powers) = + 12 = 14 + × + = + - × - = + + × - = - - × + = - 2

47. 46 8 - 3 × 2 =? B I D M A S racketsrackets ndexndex ivideivide ultiplyultiplyd ubtractubtract Menu (Powers) = - 6 = 2 + × + = + - × - = + + × - = - - × + = - 8

48. 47 12 ÷ 3 + 5 =? B I D M A S racketsrackets ndexndex ivideivide ultiplyultiplyd ubtractubtract Menu (Powers) = 4 = 9 + × + = + - × - = + + × - = - - × + = - + 5

49. 48 18 - 9 ÷ 3 =? B I D M A S racketsrackets ndexndex ivideivide ultiplyultiplyd ubtractubtract Menu (Powers) = - 3 = 15 + × + = + - × - = + + × - = - - × + = - 18

50. 49 4 × 5 + 1 =? B I D M A S racketsrackets ndexndex ivideivide ultiplyultiplyd ubtractubtract Menu (Powers) = 20 = 21 + × + = + - × - = + + × - = - - × + = - + 1

51. 50 2 × 3 + 4 × 5 =? B I D M A S racketsrackets ndexndex ivideivide ultiplyultiplyd ubtractubtract Menu (Powers) = 6 = 26 + × + = + - × - = + + × - = - - × + = - +20

52. 51 4 + 5 × 2 – 1 = ? B I D M A S racketsrackets ndexndex ivideivide ultiplyultiplyd ubtractubtract Menu (Powers) = + 10 + × + = + - × - = + + × - = - - × + = - 4 - 1 = 14 - 1 = 13

53. 52 4 ( 3 + 5 ) =? B I D M A S racketsrackets ndexndex ivideivide ultiplyultiplyd ubtractubtract Menu (Powers) = 8 = 32 + × + = + - × - = + + × - = - - × + = - 4 ×

54. 53 6 + 4 ( 8 – 3 ) =? B I D M A S racketsrackets ndexndex ivideivide ultiplyultiplyd ubtractubtract Menu (Powers) + × + = + - × - = + + × - = - - × + = - = 56 + 4 × = + 206 = 26

55. 54 4 ( 2 + 3 × 5 ) = ? B I D M A S racketsrackets ndexndex ivideivide ultiplyultiplyd ubtractubtract Menu (Powers) + × + = + - × - = + + × - = - - × + = - = + 154 ( 2 ) = 174 × = 68

56. 55 B I D M A S racketsrackets ndexndex ivideivide ultiplyultiplyd ubtractubtract Menu (Powers) + × + = + - × - = + + × - = - - × + = - 4 × 3 – 5 ( 9 – 2 × 4 ) = ? = - 84 × 3 – 5 ( 9 ) = 14 × 3 – 5 × = 12- 5 = 7

57. 56 B I D M A S racketsrackets ndexndex ivideivide ultiplyultiplyd ubtractubtract Menu (Powers) + × + = + - × - = + + × - = - - × + = - 2 + 3 2 × 4 = ? = + 92 × 4 = + 362 = 38

58. 57 B I D M A S racketsrackets ndexndex ivideivide ultiplyultiplyd ubtractubtract Menu (Powers) + × + = + - × - = + + × - = - - × + = - 3 × 5 2 - 1 = ? = 253 × - 1 = 75- 1 = 74

59. 58 B I D M A S racketsrackets ndexndex ivideivide ultiplyultiplyd ubtractubtract Menu (Powers) + × + = + - × - = + + × - = - - × + = - 6 – 7 2 + 4 = ? = 496 - + 4 = 6 - 45 = - 39

60. 59 B I D M A S racketsrackets ndexndex ivideivide ultiplyultiplyd ubtractubtract Menu (Powers) + × + = + - × - = + + × - = - - × + = - 2 ( - 3 ) 2 + 2 × 3 = ? = 92 + 2 × 3 × = 18 + 6 = 24

61. 60 Work out the following : [ BIDMAS ] Menu 1)3 + 5 × 2 2)4 – 3 × 1 3) 4 × 2 + 1 4)6 + 8 ÷ 2 5)12 – 4 ÷ 2 6) 6 ÷ 2 × 3 7)4 + 3 × 2 + 18)5 + 4 × 6 ÷ 2 9)4 ( 5 + 1 )10)3 ( 3 + 4 × 5 ) 11)2 × 3 ( 5 – 1 )12)7 + 4 ( 6 – 15 ÷ 5 ) 13)2 ( 3 + 5 ) + 3 ( 9 – 4 )14)3 + 3 ( 2 × 3 + 2 × 5 ) 13 1 9 10 9 1117 24 69 24 19 3151 Harder questions

62. 61 Work out the following : [ BIDMAS ] Menu 1)6 + 5 2 + 2 × 42)5 × 2 3 + 7 3)4 × 3 2 – 204)5 ( 3 2 + 2 × 4 ) 5)3 2 ( 4 + 3 )6)3 ( - 2 ) 2 7)2 2 ( 4 + 2 × 2 3 )8)( - 3 ) 2 – 12 ÷ 4 9)5 ( 2 + 3 ) 2 – 5010)2 + 3 2 ( 2 3 – 2 ) 2 3947 16 85 63 12 806 75326

63. 62 Teacher’s Notes on quickfire questions Quickfire questions are designed as a straight forward starter where pupils quickly work out the answers (possibly in the backs of their books). The teacher should then review each question giving out the answers and reminding pupils of the techniques / ideas behind the topic. Menu

64. 63 Menu

65. 64 Evaluate : 20 x 7 Question 1 Menu

66. 65 Evaluate : 30 x 40 Question 2 Menu

67. 66 Evaluate : 50 x 200 Question 3 Menu

68. 67 Evaluate : 400 x 50 Question 4 Menu

69. 68 Evaluate : 200 x 15 Question 5 Menu

70. 69 Evaluate : 250 x 30 Question 6 Menu

71. 70 Evaluate : 40 x 10 x 20 Question 7 Menu

72. 71 Evaluate : 200 x 300 x 40 Question 8 Menu

73. 72 Evaluate : (20) 2 Question 9 Menu

74. 73 Evaluate : (10) 3 Question 10 Menu

75. 74 Menu

76. 75 Question 1 Evaluate : 13 x 4 Menu

77. 76 Question 2 Evaluate : 15 x 5 Menu

78. 77 Question 3 Evaluate : 22 x 6 Menu

79. 78 Question 4 Evaluate : 17 x 3 Menu

80. 79 Question 5 Evaluate : 42 x 5 Menu

81. 80 Question 6 Evaluate : 38 x 4 Menu

82. 81 Question 7 Evaluate : 15 x 7 Menu

83. 82 Question 8 Evaluate : 28 x 6 Menu

84. 83 Question 9 Evaluate : 33 x 7 Menu

85. 84 Question 10 Evaluate : 45 x 6 Menu

86. 85 Menu

87. 86 20 ÷ 4 Question 1 Menu

88. 87 21 ÷ 7 Question 2 Menu

89. 88 32 ÷ 8 Question 3 Menu

90. 89 40 ÷ 5 Question 4 Menu

91. 90 36 ÷ 6 Question 5 Menu

92. 91 48 ÷ 6 Question 6 Menu

93. 92 42 ÷ 7 Question 7 Menu

94. 93 36 ÷ 4 Question 8 Menu

95. 94 72 ÷ 9 Question 9 Menu

96. 95 16 ÷ 4 Question 10 Menu

97. 96 Menu

98. 97 24 ÷ 3 Question 1 Menu

99. 98 30 ÷ 6 Question 2 Menu

100. 99 28 ÷ 7 Question 3 Menu

101. 100 56 ÷ 7 Question 4 Menu

102. 101 64 ÷ 8 Question 5 Menu

103. 102 63 ÷ 9 Question 6 Menu

104. 103 45 ÷ 9 Question 7 Menu

105. 104 18 ÷ 2 Question 8 Menu

106. 105 25 ÷ 5 Question 9 Menu

107. 106 18 ÷ 6 Question 10 Menu

108. 107 Work out the Total Cost 1. 10 Quickfire questions Menu

109. 108 2 pens at £1.99 each Question 1 Menu

110. 109 5 books at £3.99 each Question 2 Menu

111. 110 4 C.D s at £9.99 each Question 3 Menu

112. 111 3 shirts at £19.99 each Question 4 Menu

113. 112 2 tapes at £2.95 each Question 5 Menu

114. 113 3 cups at £4.95 each Question 6 Menu

115. 114 6 books at £6.95 each Question 7 Menu

116. 115 5 tins at £1.95 each Question 8 Menu

117. 116 8 sweets at 95p each Question 9 Menu

118. 117 6 brushes at £8.95 each Question 10 Menu

119. 118 Work out the Total Cost 2. 10 Quickfire questions Menu

120. 119 5 books at £3.90 each Question 1 Menu

121. 120 4 ties at £2.80 each Question 2 Menu

122. 121 10 cups at £4.90 each Question 3 Menu

123. 122 4 shirts at £8.45 each Question 4 Menu

124. 123 6 drinks at £1.45 each Question 5 Menu

125. 124 4 C.D. s at £11.99 each Question 6 Menu

126. 125 3 books at £8.95 each Question 7 Menu

127. 126 3 pens at £1.45 each Question 8 Menu

128. 127 20 tickets at £19.99 each Question 9 Menu

129. 128 50 pens at £1.95 each Question 10 Menu

130. 129 Sum Subtract Product MENU Number Menu 6 & 4 Type of questions 40 & 9 300 & 8 80 & 40 300 & 70 320 & 30 700 & 800 240 & 300 Teacher’s Notes

131. 130 Menu Teacher’s Notes on Sum Subtract Product Pupils use ‘show me boards’ to add, subtract and multiply the 2 numbers which appear. The pupils could perhaps be in teams and the first pupil to correctly answer the question scores a point for their team. It is a good idea for the pupils to draw in the lines along with the 3 headings at the start. (See below) Sum Subtract Product

132. 131 SUMSUBTRACTPRODUCT 8 & 5 13340 Menu Answers

133. 132 SUMSUBTRACTPRODUCT 6 & 2 8412 Menu Answers

134. 133 SUMSUBTRACTPRODUCT 9 & 5 14445 Menu Answers

135. 134 SUMSUBTRACTPRODUCT 8 & 3 11524 Menu Answers

136. 135 SUMSUBTRACTPRODUCT 7 & 4 11328 Menu Answers

137. 136 SUMSUBTRACTPRODUCT 5 & 3 8215 Menu Answers

138. 137 SUMSUBTRACTPRODUCT 9 & 8 17172 Menu Answers

139. 138 SUMSUBTRACTPRODUCT 4 & 4 8016 Menu Answers

140. 139 SUMSUBTRACTPRODUCT 1 & 0 110 Menu Answers

141. 140 SUMSUBTRACTPRODUCT 6 & 4 10224 Menu Answers

142. 141 SUMSUBTRACTPRODUCT 8 & 2 10616 Menu Answers

143. 142 SUMSUBTRACTPRODUCT 11 & 9 20299 Menu Answers

144. 143 SUMSUBTRACTPRODUCT 12 & 8 20496 Menu Answers

145. 144 SUMSUBTRACTPRODUCT 13 & 3 161039 Menu Answers

146. 145 SUMSUBTRACTPRODUCT 9 & 0 990 Menu Answers

147. 146 SUMSUBTRACTPRODUCT 20 & 8 2812160 Menu Answers

148. 147 SUMSUBTRACTPRODUCT 30 & 7 3723210 Menu Answers

149. 148 SUMSUBTRACTPRODUCT 40 & 5 4535200 Menu Answers

150. 149 SUMSUBTRACTPRODUCT 200 & 6 2061941200 Menu Answers

151. 150 SUMSUBTRACTPRODUCT 300 & 4 3042961200 Menu Answers

152. 151 SUMSUBTRACTPRODUCT 500 & 7 5074933500 Menu Answers

153. 152 SUMSUBTRACTPRODUCT 2000 & 8 2008199216000 Menu Answers

154. 153 SUMSUBTRACTPRODUCT 20 & 10 3010200 Menu Answers

155. 154 SUMSUBTRACTPRODUCT 40 & 20 6020800 Menu Answers

156. 155 SUMSUBTRACTPRODUCT 50 & 30 80201500 Menu Answers

157. 156 SUMSUBTRACTPRODUCT 80 & 20 100601600 Menu Answers

158. 157 SUMSUBTRACTPRODUCT 90 & 30 120602700 Menu Answers

159. 158 SUMSUBTRACTPRODUCT 60 & 50 110103000 Menu Answers

160. 159 SUMSUBTRACTPRODUCT 70 & 50 120203500 Menu Answers

161. 160 SUMSUBTRACTPRODUCT 90 & 80 170107200 Menu Answers

162. 161 SUMSUBTRACTPRODUCT 200 & 40 2401608000 Menu Answers

163. 162 SUMSUBTRACTPRODUCT 300 & 50 35025015000 Menu Answers

164. 163 SUMSUBTRACTPRODUCT 150 & 20 1701303000 Menu Answers

165. 164 SUMSUBTRACTPRODUCT 250 & 30 2802207500 Menu Answers

166. 165 SUMSUBTRACTPRODUCT 330 & 20 3503106600 Menu Answers

167. 166 SUMSUBTRACTPRODUCT 440 & 20 4604208800 Menu Answers

168. 167 SUMSUBTRACTPRODUCT 800 & 500 1300300400000 Menu Answers

169. 168 SUMSUBTRACTPRODUCT 400 & 300 700100120000 Menu Answers

170. 169 SUMSUBTRACTPRODUCT 600 & 400 1000200240000 Menu Answers

171. 170 SUMSUBTRACTPRODUCT 500 & 300 800200150000 Menu Answers

172. 171 SUMSUBTRACTPRODUCT 300 & 300 600090000 Menu Answers

173. 172 SUMSUBTRACTPRODUCT 850 & 200 1050650170000 Menu Answers

174. 173 SUMSUBTRACTPRODUCT 210 & 30 2401806300 Menu Answers

175. 174 SUMSUBTRACTPRODUCT 320 & 20 3403006400 Menu Answers

176. 175 SUMSUBTRACTPRODUCT 150 & 30 1801204500 Menu Answers

177. 176 SUMSUBTRACTPRODUCT 2500 & 400 290021001000000 Menu Answers

178. 177 SUMSUBTRACTPRODUCT 1200 & 40 1240116048000 Menu Answers

179. 178 SUMSUBTRACTPRODUCT 550 & 30 58052016500 Menu Answers

180. 179 SUMSUBTRACTPRODUCT 160 & 50 2101108000 Menu Answers

181. 180 SUMSUBTRACTPRODUCT 450 & 60 51039027000 Menu Answers

182. 181 SUMSUBTRACTPRODUCT 1000 & 500 1500500500000 Menu Answers

183. 182 SUMSUBTRACTPRODUCT 820 & 200 1020620164000 Menu Answers

184. 183 SUMSUBTRACTPRODUCT 65 & 30 95351950 Menu Answers

185. 184 SUMSUBTRACTPRODUCT 450 & 21 4714299450 Menu Answers

186. 185 End of Number Presentation. Return to previous slide.