Cranfield School of Management

Sample Cranfield test questions - Numeracy

You have 10 minutes to answer the 10 questions below. The clock is ticking...Label

  1. A rectangular room is 7 metres long and 4 metres wide. Carpet tiles are 50 centimetres square. How many tiles will be needed to carpet the whole room (1 metre = 100 centimetres)? carpet tiles
  2. What is 1/3+1/4 + 3/7. expressed as a fraction? /
  3. An order for 250 units of product has been received. Each unit takes an average of 15 minutes to produce. The machine to be used runs for 7.75 hours per day and, on average, 10 per cent of the parts produced have to be scrapped. Estimate how many days it will take to produce 250 good units? (Express your answer to 2 decimal places). days
  4. A student has obtained an average of 47 per cent across the 7 subjects that he has taken so far. When he takes his 8th and final subject what mark must he obtain to ensure that his overall mark is 50 per cent? %
  5. Evaluate the following expression: (4+3)x(9÷3)+(6-4)2 =
  6. x+2y=13
    2x - y = 1 What are the values of x and y that satisfy these equations? x = , y =
  7. A rectangular swimming pool is 30 metres long and 10 metres wide. The pool is empty and is being filled at a rate of 16,000 litres per hour. After 15 hours, how deep is the water in the pool in metres? (1000 litres = 1 cubic metre). meters
  8. A company receives 3 batches of the same material from a supplier. The lorry driver says that batch A contains half the quantity in batches B and C combined and that batch B contains 8 more items than batch A. If batch C is found to contain 26 items what is the total quantity of material that has been delivered? units
  9. During April a sub-contractor prepared quotes for 34 enquiries and 76.47 per cent were successful. During May the company prepared 56 quotes of which 89.29 per cent were successful. What percentage of all quotes made during this 2 month period were successful? (Express your answer to 2 decimal places). %
  10. A lorry sets off at 06.00 to make a delivery 220 kilometres away at 10.00 At 06.56, 50 kilometres have been covered. During the next hour the lorry travels at an average speed of 56 kilometres per hour, followed by a further 30 kilometres at 72 kilometres per hour. If the lorry is to arrive on time, what must be its average speed for the remainder of the journey? (Express your answer to 2 decimal places). kilometres per hour