Initial Diagnostic Audit - Unit A4: Ratio and Proportion Do NOT use a calculator for any questions in the audit unless specifically told otherwise
Section A4.1 - Simple Proportion
1. Simplify the ratio 35 : 14. :
2. A class comprises 15 girls and 12 boys.:
3. A drink contains 60 cm3 of which 10 cm3 is fruit concentrate and the remainder water.:
4. The ratio of teachers to students in a school is 1 : 12.
5. In a packet of nibbles there are peanuts and raisins in the ratio 2 : 3.
Section A4.2 - Ratio and Proportion
6. The ratio of the length to the width of a picture is 5 : 3.
7. The ratio of flour to sugar in a recipe is 7 : 2.
8. 5 kg of potatoes cost £2.30.
9. 200 g of flour are needed to make 15 shortbread biscuits.
(a) What is the weight of flour needed to make 36 shortbread biscuits?
(b) How many shortbread biscuits can be made using 1.6 kg of flour?
Section A4.3 - Map Scales and Ratios
10. The distance between two towns is 20 km.
11. A map has scale 1 : 25000.
12. Two places are 6.4 km apart. On a map they are 16 cm apart.:
13. On a map with a scale of 1 : 300000, the distance between Bristol and Bath is 6 cm.
14. On a map with a scale of 1 : 50000, a plot of land is represented by a rectangle 1.6 cm by 1.2 cm.2
Section A4.4 - Proportional Division
15. The ratio of boys to girls in a school choir is 3 : 5.
16. Chris, Tim and Jamie share 240 stickers between them in the ratio 3 : 2 : 1.
17. Apples, bananas and oranges are mixed in the ratio 3 : 4 : 5 respectively, by weight, to make a fruit salad.
(a) If there are 800 g of bananas in the fruit salad, what is the total weight of the fruit salad?
(b) What weight of apples would be needed to make 2 kg of fruit salad?
18. A fruit corner yogurt weighs 175 g altogether. If the packaging weighs 13 g and the weight of fruit to the weight of yogurt is in
the ratio 2 : 7, calculate the weight of the fruit.
