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Oak MathsTest · Maths

Problem solving with algebraic ratios

The starter and exit quiz of the lesson “Problem solving with algebraic 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 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. 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)
  11. The ratio of gravel to water in this fish tank is 1 : 5. What volume of water is in the tank?
  12. There are red and green counters in a bag in the ratio of 1 : 2. 2 are taken at random, the probability that 2 red counters are taken is 8\over75. How many green counters are there?

License: OGL

Problem solving with algebraic ratios · Examplary