Test 1. Sharing in a given ratio

 1. In a class the ratio of boys to girls is 4:3. If there are 28 children in s class, how many boys are there and how many girls?

 а)  16 boys,  12 girls;     

 b)  14 boys,  14 girls;     

 c)  17 boys,  11 girls;     

 d)  15 boys,  13 girls.

 2. A woman divides £800 between Cath and Ben in the ratio 5:3. How much money do Cath and Ben each get?

 а)  Cath £520,  Ben £280;     

 b)  Cath £480,  Ben £320;     

 c)  Cath £500,  Ben £300;     

 d)  Cath £505,  Ben £295.

 3. Colin and Lily share a bag of 35 sweets in the ratio 2:3. How many sweets does each person get?

 а)  Colin 11,  Lily 24;     

 b)  Colin 14,  Lily 21;     

 c)  Colin 17,  Lily 18;     

 d)  Colin 16,  Lily 19.

 4. A metal bar is 27 cm long. If it is cut into 2 parts in the ratio 2:7, how long is each part?

 а)  4 cm,  23 cm;     

 b)  9 cm,  18 cm;     

 c)  6 cm,  21 cm;     

 d)  7 cm,  20 cm.

 5. £320 is shared between Omar, Molly and Sachin in the ratio 3:1:4. How much will each person get?

 а)  Omar £110,  Molly £40,   Sachin £170;     

 b)  Omar £120,  Molly £40,   Sachin £160;     

 c)  Omar £100,  Molly £60,   Sachin £160;     

 d)  Omar £130,  Molly £50,   Sachin £140.

 6. Mr. Hope has a BMW and a Mini. He puts 75 litres of petrol into the 2 cars so that the ratio of the petrol in the BMW to the Mini is 16:9. How much petrol is put into each car?

 а)  BMW 48l,  Mini 27l;     

 b)  BMW 46l,  Mini 29l;     

 c)  BMW 49l,  Mini 26l;     

 d)  BMW 45l,  Mini 30l.

 7. A green paint is mixed from blue and yellow in the ratio 2:5. How much of each colour is needed to make 56 litres of paint?

 а)  40l blue,  16l yellow;     

 b)  18l blue,  38l yellow;     

 c)  14l blue,  42l yellow;     

 d)  16l blue,  40l yellow.

 8. 900 g of alloy is made up of copper, tin and nickel in the ratio 7:3:5. How many grams of each metal are there?

 а)  180 g copper,  420 g tin,  300 g nickel;     

 b)  420 g copper,  300 g tin,  180 g nickel;     

 c)  420 g copper,  180 g tin,  300 g nickel;     

 d)  300 g copper,  180 g tin,  420 g nickel.

 9. The angles in a triangle are in the ratio 7:4:9. If the smallest angle is 36⁰, find the size of each of the other angles.

 а)  64⁰,  81⁰;     

 b)  63⁰,  81⁰;     

 c)  60⁰,  85⁰;     

 d)  61⁰,  83⁰.

10. The ratio of boys to girls in a class is 5:4. If there are 36 children in a class, how many boys are there and how many girls?

 а)  18 boys, 18 girls;     

 b)  22 boys, 14 girls;     

 c)  21 boys, 15 girls;     

 d)  20 boys, 16 girls.

11. £3000 is shared between Ally, Jane and Rob in the ratio 11:4:5. How much money does each person get?

 а)  Ally £1650,  Jane £750,  Rob £600;     

 b)  Ally £600,  Jane £1650,  Rob £750;     

 c)  Ally £1650,  Jane £600,  Rob £750;     

 d)  Ally £750,  Jane £600,  Rob £1650.

12. Alan, Brendan and Chloe shared £768 in the ratio 5:4:3. How much did each receive?

 а)  Alan £256,  Brendan £320,  Chloe £192;     

 b)  Alan £320,  Brendan £256,  Chloe £192;     

 c)  Alan £320,  Brendan £192,  Chloe £256;     

 d)  Alan £192,  Brendan £256,  Chloe £320.