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Oak MathsTest · Maths

Writing equations from ratios

The starter and exit quiz of the lesson “Writing equations from ratios”, from the unit “Ratio” (Year 10 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. Which of the following is the correct way of writing the ratio 1 to 2?
  2. There are 36 cans of drink and bags of sweets in a vending machine. The ratio of cans : bags is 2 : 1. 4 of each are sold. What is the ratio of cans : bags now? (In its simplest form)
  3. There are 56 vehicles in a car park. The ratio of cars : vans is 5 : 2. 4 more vans enter the car park. What is the ratio of cars : vans now? (Give your answer in its simplest form)
  4. The ratio of adults to children at an athletics club is 8 : 5. 8 adults leave, the ratio is now 4 : 3. How many children are members of the club?
  5. 3 bags contain counters in the ratio 6 : 3 : 5. Some counters are taken out of 1 bag and put into the other 2. The ratio of counters is now 6 : 5 : 10. What is the minimum number of counters removed?
  6. The ratio of the number of £1 coins to £2 in Sam’s money box is 3 : 2. Their gran gives them 6 more £1 coins, the ratio is now 2 : 1. How much money was in Sam’s money box originally?
  7. The 3 in 3a is the ___.
  8. What is the equation of y in terms of x?
  9. What is the equation of y in terms of x?
  10. Match each ratio of x : y to the correct equation of y in terms of x.
  11. The ratio of adults to children at a running club is 7 : 5. Which of the following are correct equations linking adults and children?
  12. 8x-2y = 3x+5y. What is the ratio of x:y?

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Writing equations from ratios · Examplary