# Apply direct and inverse relationships with linear proportions

Apply direct and inverse relationships with linear proportions

1. | On the Road Again: Calculate distance from speed | |

2. | Pizza Pays: Money multiplication | |

3. | Shifting groceries: Calculate wages from rates of pay | |

4. | Times to Plough: Multiply lengths of time | |

5. | By the skin of those teeth: Calculate distance and speed | |

6. | Appearance money: Money subtraction and division | |

7. | Spectacular spending: Money multiplication | |

8. | Land of the long vacation: Dollar exchange rates | |

9. | Around the World in 8 days: Calculate price of fuel | |

10. | Toffee profit: Calculate a sum given original expenditure and percentage profit | |

11. | Golden fleece: Calculate percentage discount | |

12. | Carving up the blue: Calculate percentage discount | |

13. | Screen saver: Calculate percentage discount | |

14. | Ring appeal: Calculate a percentage discount | |

15. | Fine leathers make fine birds: Calculate percentage discount | |

16. | Purchasing a pedigree: Calculate a total from a percentage | |

17. | A long trip home: Calculate a total from a percentage | |

18. | A big bill: Calculate a total from a percentage | |

19. | Building on a percentage basis: Calculate a total from a percentage | |

20. | Well-watered campers: Calculate a total from a percentage | |

21. | A tasty sweetener: Calculate a percentage increase of a quantity or number | |

22. | Fancy pants: Calculate original price before discount | |

23. | Pocketing the savings: Calculate original price before discount. | |

24. | Falling Prices, Rising trade: Calculate original price given percentage discount | |

25. | Rock on: Calculate a discount as a percentage | |

26. | As time goes by : Calculate the first quantity given a final figure and percentage increase. | |

27. | Footy fever: Calculate a new price given the old price and percentage increase | |

28. | The bread and butter issue: Calculate a price difference as a percentage of one amount | |

29. | Blow your own trumpet: Calculate a price increase as a percentage of the former price | |

30. | You can bank on it: Calculate simple interest | |

31. | Interesting figures: Calculate simple interest | |

32. | Percentage Wise: 90% of ?=3510 | |

33. | Percentage Wise: 560% of 12 litres=? | |

34. | Percentage Wise: Increase 320 by 80% | |

35. | Percentage Wise: Increase 4L by 1% | |

36. | Percentage Wise: Decrease 3L by 60% | |

37. | You can bank on it: Compare interest rates from capital and dividend figures | |

38. | Buttering up the customers: Price comparison | |

39. | Fast shoe shuffle: Calculate prices using percentage increase and decrease | |

40. | Swordfish Pasta : Increasing ratios in cooking | |

41. | Singing a scale: Calculate numbers from a ratio | |

42. | Cool water calculations: Investigate relationship between map scale and actual distance | |

43. | On the road again: Investigate relationship between map scale and actual distance | |

44. | Patti's Lemon Custard Pudding: Calculate quantities in proportionate relationships | |

45. | Patti's Omelette: Calculate quantities in proportionate relationships | |

46. | Patti's Strawberry Sauce: Calculate quantities in proportionate relationships | |

47. | Patti's Apple Crumble: Calculate quantities in proportionate relationships | |

48. | Patti's Tuna Pie: Calculate quantities in proportionate relationships | |

49. | Country line: Write journey times in ratio form | |

50. | Train is a'comin': Write journey times in ratio form | |

51. | To see the sea: Determine actual distance from map scale | |

52. | In the olden days: Calculate a quantity in proportion | |

53. | Triangular scales: Calculate length of the side of a right-angled triangle, given ratio | |

54. | Scaling the trail: Interpret relationship between map scale and actual distance | |

55. | Great lakes apart: Interpret relationship between map scale and actual distance | |

56. | Patti's Omelette: Calculate quantities in proportional relationships | |

57. | Patti's Party Punch: Calculate quantities in proportional relationships | |

58. | Bitter sweet ratios: Calculate quantities from a ratio | |

59. | Traveller's check: Interpret scale distance on a map as actual distance | |

60. | The long way round: Interpret scale distance on a map as actual distance | |

61. | To see the sea!: Interpret scale distance on a map as actual distance | |

62. | Patti's Lasagne: Calculate quantities from a ratio relationship | |

63. | School scale: Calculate distance from a ratio | |

64. | Industrial relations: Calculate a new pay rate in proportion to the previous rate | |

65. | Scaling the hikes: Interpret scale distance on a map as real distance | |

66. | Patti's Party Punch: Calculate quantities by ratio | |

67. | Patti's Apple Crumble: Calculate quantities by ratio | |

68. | Patti's Patty Cakes: Calculate quantities by ratio | |

69. | Patti's Tuna Pie: Calculate quantities by ratio | |

70. | Boot-scootin' by number: Calculate quantities by ratio | |

71. | Scales of justice: Divide a sum of money in a given ratio | |

72. | Leaky logic: Calculate wages based on man-hours | |

73. | Patti's Lasagne: Calculate quantities by ratio | |

74. | Patti's Lemon Custard Pudding: Write quantities in ratio form | |

75. | Patti's Apple Crumble: Write quantities in ratio form | |

76. | Patti's Omlette: Write quantities in ratio form | |

77. | Patti's Strawberry Sauce: Write quantities in ratio form | |

78. | Patti's Steamed Fruit Pudding: Write quantities in ratio form | |

79. | Run to scale: Calculate a distance from a ratio | |

80. | Scale Drawing: Divide a sum of money according to a given ratio | |

81. | Scale Drawing: Divide a sum of money according to a given ratio | |

82. | Mixing by scale: Calculate quantities from a given percentage | |

83. | ScreamWorld: Calculate numbers from ratios and percentages | |

84. | Pies and Fries: Calculate a quantity from a ratio | |

85. | WonderLand Maths: Ratio calculations | |

86. | WonderLand Maths: Ratio calculations | |

87. | WonderLand Maths: Ratio calculations | |

88. | WonderLand Maths: Ratio calculations | |

89. | WonderLand Maths: Ratio calculations | |

90. | Running on time: Use time and speed to calculate distance | |

91. | Gone to pot: Calculate using ratios | |

92. | By degrees: Calculate triangle angles from a given ratio | |

93. | Sugar, sugar: Calculate quanitites in proportion | |

94. | Here's health: Divide a sum of money in a given ratio | |

95. | Chocolate disaster: Divide a quantity according to a given ratio | |

96. | Orchestral scales: Calculate a total number from a ratio and the quantity in one part. | |

97. | Homework deal: Calculate a quantity from a ratio | |

98. | Synchronised swimming: Write speeds as a ratio | |

99. | Synchronised swimming: Calculate distance from speed and time | |

100. | A show of strength: Calculate quantities from ratios | |

101. | A good punch: Calculate a ratio from quantities | |

102. | Head in the sand: Calculate quantities from a ratio | |

103. | Time for a drop: Write a relationship between two measurements as a ratio | |

104. | Screamworld: Calculate numbers from a ratio | |

105. | WonderLand Maths: Ratio calculations | |

106. | WonderLand Maths: Ratio calculations | |

107. | WonderLand Maths: Ratio calculations | |

108. | Running on time: Write distances as a ratio | |

109. | Ancient Scale: Investigate proportional relationships | |

110. | Don't Hurry, Be Happy: Calculate speed from distance and time | |

111. | Starfish scramble: Calculate speed from distance and time | |

112. | Building blocks: Investigate proportional relationships | |

113. | A problem of geometric proportions: Investigate relationship between perimeter and area of rectangle | |

114. | Triangular numbers: Investigate triangle ratios | |

115. | Triangular numbers: Investigate triangle ratios | |

116. | Apres moi le deluge: Calculate rainfall from rate of precipitation | |

117. | Apres moi le deluge: Calculate rainfall from rate of precipitation | |

118. | Gauging the Rainfall: Investigate ratio and proportion | |

119. | Finishing the fence: Calculate time taken from rate of work | |

120. | Finishing the fence: Calculate time taken from rate of work | |

121. | Powering Down: Calculate cost from ratios | |

122. | Counting Beans: Calculate proportions from a given ratio | |

123. | Budding Buddies: Calculate from ratios | |

124. | Food Rationing: Calculate quantities from ratios | |

125. | Gold Index: Calculate cost from ratios | |

126. | Coffee Calculations: Calculate quanitites from ratios | |

127. | Mouse multiplication: Express relationships between quantities as a ratio | |

128. | Swim in the fast lane: Calculate speed from a ratio | |

129. | Theories of Relativity: Express relationships as a ratio in its simplest form | |

130. | Theories of Relativity: Calculate amounts from a ratio | |

131. | Theories of Relativity: Calculate amounts from a ratio | |

132. | Theories of Relativity: Calculate amounts from a ratio | |

133. | Map Maths: Interpret map scale and write distances as a ratio | |

134. | Cup Fever: Express relationships between quantities as a ratio | |

135. | Off The Scale: Calculate new temperature given a rate of change. | |

136. | Just Deserts: Calculate rainfall from a ratio | |

137. | It never rains...: Calculate rainfall from a ratio | |

138. | Boat rations: Calculate with reference to man-days of work | |

139. | Running to scale: Express a relationship between two numbers as a ratio | |

140. | Tackling the heights: Calculate a dimension from a scale model | |

141. | Where There's A Will: Express a relationship between quantities as a ratio | |

142. | Food for thought: Calculate quantities from a ratio | |

143. | Patti's Lemon Custard Pudding: Write quantities in ratio form | |

144. | Patti's Apple Crumble: Write quantities in ratio form | |

145. | Patti's Omelette: Write quantities in ratio form | |

146. | Patti's Strawberry Sauce: Write quantities in ratio form | |

147. | Patti's Steamed Fruit Pudding: Write quantities in ratio form | |

148. | Patti's Tuna Pie: Write quantities in ratio form | |

149. | Patti's Lasagne: Write quantities in ratio form | |

150. | Patti's Patty Cakes: Write quantities in ratio form | |

151. | Patti's Party Punch: Write quantities in ratio form | |

152. | Mary's Mini - Travel graph: Calculate time stopped | |

153. | Funky Frank - Travel Graph: How much did the trip cost? | |

154. | Funky Frank - when did he arrive at his destination? | |

155. | Fishy Business 3 - calculate time of concurrent events | |

156. | Fishy Business 2 - calculate time of concurrent events | |

157. | Fleur's Shopping Selection - best value, price/volume | |

158. | The Need for Speed 5 - calculate time given speed and distance | |

159. | The Need For Speed 4 - calculate time given average speed and distance | |

160. | The Need For Speed 3 - calculate distance travelled given time and speed | |

161. | The Need For Speed 2 - average speed kph | |

162. | The Need For Speed 1 - average speed kph | |

163. | Conductor Chris and the Broadsands Flyer - calculate speed required to meet shedule | |

164. | The Long Haul - calculate speed given distance and time | |

165. | The Space Race 4 - calculate distance given speed and time | |

166. | The Space Race 2 - calculate speed given distance and time | |

167. | The Space Race 1 - calculate speed given distance and time | |

168. | The Disorient Express 2 - calculate distance given speed and time | |

169. | The Disorient Express 1 - calculate distance given speed and time | |

170. | Phil's Great Grapes - calculate best value given masses and prices | |

171. | Phil's Great Grapes - calculate best value given masses and prices | |

172. | A Fair Cow 2 - calculate profit/loss | |

173. | Detective Duck: Write a fraction as a percentage | |

174. | Detective Duck: Write a fraction as a percentage | |

175. | Detective Duck: Write a fraction as a percentage | |

176. | Detective Duck: Write one quantity as a percentage of another | |

177. | Detective Duck: Calculate a percentage increase | |

178. | Detective Duck: Calculate numbers from percentages | |

179. | Detective Duck: Calculate quantities from percentages | |

180. | Detective Duck: Calculate numbers from percentages | |

181. | Detective Duck: Write one number as a percentage of another | |

182. | Detective Duck: Write one number as a percentage of another | |

183. | Detective Duck: 25 000 reduced to 20 000... % discount. | |

184. | Gone to pot: Calculate using ratios | |

185. | Gone to pot: Calculate using ratios | |

186. | Boat rations: Calculate with reference to man-days of work | |

187. | Boat rations: Calculate with reference to man-days of work | |

188. | Where There's A Will: Express a relationship between quantities as a ratio (1) |