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Oak MathsTest · Maths

Problem solving with ratios

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

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Oak National Academy

12 questions

  1. Which are of the following are expressions?
  2. What is the length of AB?
  3. Which of the following are equivalent ratios to 3 : 9?
  4. Point A and B are on a straight line. The coordinates of point A are (2, 3). Point B is 2 to the right and 4 below point A. What are the coordinates of point B?
  5. There are 42 cars and vans in a car park in the ratio of 5 : 2. How many vans are there?
  6. Bag A contains b beads, bag B contains two more than bag A and bag C contains twice as many as bag B. Which of the following is the correct expression for the number of beads in bag C?
  7. Which are of the following are expressions?
  8. The points A, B, C and D are in order on a straight line. AB : BD = 2 : 7, AC : CD = 15 : 3. Find the ratio of AB : BC : CD
  9. The points A, B and C are on a straight line. The coordinates of A are (6, 2). The coordinates of B are (8, 5). Given that AB : BC = 1 : 2. Find the x coordinate of C.
  10. 3 bags contain 38 beads between them. Bag A contains 2 more than bag B. Bag C contains 3 times the number in bag A. Find the ratio of marbles in bag A : bag B : bag C in its simplest form.
  11. The ratio of red to yellow sweets in a bag is 2 : 3. The ratio of hearts to stars in the bag is 3 : 1. What is the probability of picking out a red heart? (Give your answer as a decimal)
  12. The ratio of gravel to water in this fish tank is 1 : 5. What volume of water is in the tank?

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Problem solving with ratios · Examplary