Vivax Solutions

A Passport to Digital Realm

Variation - direct and inverse proportion

  1. The total weight of 7 ceramic tiles is 1750 g . How much do 11 tiles weigh?
  2. A machine fills 2000 bottles in 10 minutes. How many bottles will it fill in 7 minutes?
  3. The total contents of 8 cartons of fruit drink is 12 litres. How much fruit drink is there in 3 cartons?
  4. Find the cost of 15 cakes if 9 cakes cost £2.07 .
  5. How much would 7 screws if 20 screws cost £4.60.
  6. How much would 7 cauliflowers cost if 10 cauliflowers cost £5.70?
  7. A machine takes 20 seconds to make 8 coins. How long does it take to make 50 coins?
  8. A plane flies 50km in 15 minutes. How long will it take to fly 300km?
  9. If 8 pencils cost 56p, how many can be bought for 70p?
  10. If 6 pineapples can be bought for £3.12, how many can be bough for £5.20?
  11. If 20 m2 of carpet cost £1.50, what area of carpet can be bought for £90?
  12. Oranges cost £1.68 for 12. How many can be bought for (a) £2.80 (b) £4.90
  13. Twenty men produce 500 articles in 6 days. How many articles would 4 men produce in 6 days?
  14. Forty women take 8 days to produce 400 articles. How many articles would 16 women produce in 8 days?
  15. 12 men produce 600 components in 12 hours. How many components would 9 men produce in 12 hours?
  16. 7 cycles cost £623. (a) What is the cost of 3 cycles? (b) How many cycles can be bought for £979?
  17. 11 cassettes cost £9.35. (a) what is the cost of 15 cassettes? (b) How many cassettes can be bought for £17?
  18. If 15 men can build a wall in 6hrs, how long will it take 5 men?
  19. If 6 men can dig a trench in 12hrs, how long will it take 24 men?
  20. A ship has enough food to supply 600 passengers for 3 day. How long would the food last for 300 passengers?
  21. Four men can build a shed in 9 hrs. How long would it take six men?
  22. A farmer has enough has enough hay to feed 8 horses for 2 days. How long would the hay last for (a)2 horses (b)32 horses
  23. Eight Dockers can upload a ship in 15hrs. How long will it take 3 men.
  24. A farmer employs 12 men to do a job in 10 days. How long would it have taken 5 men?
  25. A bridge was painted by 8 men in 6 days. How long would it have taken 12 men?