iStarSign in

Math 7 · Unit 12: Ratio and proportion · Cambridge Lower Secondary Maths Stage 7

12.3 Using direct proportion

20 questions · e.g. 5 pens cost $3.50. 8 pens cost?

Practice

Questions

  1. 1. Copy and complete the following.

    One shirt costs $30.Two shirts cost: 2 × 30 = $Three shirts cost: 3 × 30 = $Four shirts cost:× 30 = $Ten shirts cost:× 30 = $

    Fill the blanks with these.

    Check
  2. 2. Copy and complete the following.

    One chair weighs 8 kg.Two chairs weigh: 2 × 8 =kgThree chairs weigh:× 8 =kgFive chairs weigh:× 8 =kgEight chairs weigh:× 8 =kg

    Fill the blanks with these.

    Check
  3. 3. Copy and complete the following. Use the unitary method. Two drinks cost $3. How much do seven drinks cost?

    Two drinks cost $3One drink costs 3 ÷ 2 = $Seven drinks cost 7 ×= $

    Fill the blanks with these.

    Check
  4. 4. Copy and complete the following. Five grapes weigh 60 g. How much do four grapes weigh?

    Five grapes weigh 60 g.One grape weighs: 60 g ÷=gFour grapes weigh:×=g

    Fill the blanks with these.

    Check
  5. 5. Question 5a: Tara goes to the gym three times a week. How many times does she go in three weeks?

    Check
  6. 6. Question 5b: Tara goes to the gym three times a week. How many times does she go in one year?

    Check
  7. 7. Copy and complete the workings to find the mass of seven potatoes. The mass of four potatoes is 500 g.

    The mass of one potato is: 500 ÷ 4 =The mass of seven potatoes is: 7 ×=

    Fill the blanks with these.

    Check
  8. 8. Question 7a: the mass of five pieces of bacalhau is 900 g. Work out the mass of one piece.

    Check
  9. 9. Question 7b: the mass of five pieces of bacalhau is 900 g. Work out the mass of seven pieces.

    Check
  10. 10. Question 8: Hank pays $22.50 for five people to go 10-pin bowling. How much does it cost for seven people?

    Check
  11. 11. Question 9: a recipe uses 400 g of onion for five people. How many grams of onion are needed for three people?

    Check
  12. 12. Question 10a: Melissa is paid $56 for 8 hours of work. How much does she earn when she works for 4 hours?

    Check
  13. 13. Question 10b: Melissa is paid $56 for 8 hours of work. How much does she earn when she works for 12 hours?

    Check
  14. 14. Question 11a: a money exchange shop exchanges £100 for €166. How many euros does it exchange for £50?

    Check
  15. 15. Question 11b: £100 = €166. How many euros does it exchange for £250?

    Check
  16. 16. Question 12: a recipe for four people uses 280 g of potatoes. Eduardo says 10 people need 420 g, because 4 + 2 = 6 and 280 + 140 = 420. What is the correct answer?

    Check
  17. 17. A carpenter buys 40 identical pieces of wood. The total value of the wood is $300. The carpenter makes a mistake in his measuring, so he then buys eight extra pieces of wood. He works out that the total value of the wood is now $375. Is he correct? Explain your answer.

    Check
  18. 18. Question 14: a shop has bags of chips on offer. Offer 1: 3 bags for 85 cents. Offer 2: 7 bags for $1.75. Offer 3: 15 bags for $3.99. Which offer is the best value for money?

    Check
  19. 19. Question 15: a businessman buys 3 tonnes of rice for $3600. He sells the rice for $1.60 per kg. How much profit does he make per kilogram?

    Check
  20. 20. Question 16: a washing machine is made from plastic and metal in the ratio 4 : 5. The mass of five washing machines is 360 kg. What is the mass of metal in eight washing machines?

    Check