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Numeracy Quiz Ratio and proportion Starter - Brain Trainer Follow the instructions from the top, starting with the number given to reach an answer at the bottom in 30 seconds. There are three levels, easy, medium and hard, choose the one most suitable for you. EASY MEDIUM HARD 4 21 55 double it 6 treble it 7 + 138 - 2/5 of it + 43 1/ 4 of it ÷9 ÷9 ÷ 11 square it -5 + 75 + 219 ÷7 + 1/3 of it ¾ of it square it - 18 -190 15 ÷ 13 + 1/3 of it cube it 1/ 3 of it 11 ANSWER 33 ANSWER ANSWER 8 125 Press space bar to start 1. On a map, the distance between two towns is 5 centimetres. The scale of the map is 1 cm to 5 km. What is the actual distance between the two towns? 2. A hotel had approximately 15 000 guests in one year. Of these guests, approximately 5 000 used the hotel swimming pool. What is the approximate ratio of those who used the pool to those who did not use the pool? 3. A designer draws a plan of a coffee shop, using the scale of 1:40. The actual length of the counter in the coffee shop is 4 metres. What is the length of the counter on the scale drawing? 4. A barman makes fruit cocktail by mixing apple juice, pineapple juice and orange juice in the ratio 1:2:2. of orange juice. He uses 2 litres of orange juice. How much fruit cocktail does he make? 5. A nursery nurse make 14 litres of orange juice for the children in the playground. She mixes orange concentrate and water in the ratio of 2:5. How many litres of orange concentrate does she use? 6. On a map with a scale of 1:500 000 the distance between a family’s home and the airport is 30cm. What is the actual distance between their home and the airport? 7. A car has an average fuel consumption of 5.6 litres per 100km. Estimate how much fuel you would need for a journey of 75km 8. A recipe for 20 biscuits requires: 150g margarine 150g sugar 1 egg 300g self-raising flour 50g almonds How much flour will be needed to make 30 biscuits? 9. A model of a boat is made to a scale of 5cm:10m. The length of the real boat of 25 metres. What should the length of the model boat be? 10. A man shares 490g dog food between a small dog and a larger dog in the ratio 3:5. How much does the larger dog get? Challenge Question * The diagram below shows two equal sized squares. Calculate the size of angle x. Show your working clearly and explain your reasoning. The triangle has two equal sides and so is isosceles with base angles equal. Apex angle of the triangle = 180o – 130o = 50o (Angle sum triangle) xo 65o The three angles opposite angle x sum to 90o + 50o + 90o = 230o Angle x = 360o - 230o = 130o (Angles at a point) Find the Angle Record your VMG’s solutions! Solutions 1. 25 km 2. 2:5 3. 10cm 4. 5 litres 5. 4 litres 6. 150 km 7. 4.2 litres 8. 450g 9. 12.5cm 10. 350g Challenge question Angle x = 130 Please send your VMG scores to SFarrow. Thank you