Cranfield School of Management

Sample Cranfield test questions - more numeracy

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

  1. Evaluate the following expression:
    (2+6)/4-13+(7-4)²x3=
  2. Express the following as a fraction
    1/3+1/2 + 1/12     /
  3. Express the following to to 2 decimal places.
    (1.365 x 29.74)/15.612    
  4. Two business partners agree to contribute to the start up costs of their new venture in the ratio 5:3. If the total startup costs required are £240,000, how much must each contribute?
    Partner a    
    Partner b    
  5. When estimating the cost of building new commercial accommodation, there is a fixed cost for initial planning, a cost of £20 per square metre for acquiring the land and a cost of £80 per square metre of floor space to construct the building. Initial planning costs are £w, the floor space of the building is x square metres and the site to be acquired is rectangular with a length of y metres and a width of z metres. Write an expression for c, the total cost of the construction project.
  6. What are the values of x and y that satisfy these equations?
    x+2y=12
    3x - 4y = 16
    x = , y =
  7. A rectangular paddock is 45 metres long and 21 metres wide. A farmer wishes to construct a fence around the perimeter of the paddock. The fencing will be fastened to posts positioned 3 metres apart around the perimeter. How many posts will be needed? posts
  8. A car hire company offers three different tariffs. If a customer wishes to hire a car for 3 days and expects to cover 600 kilometres during this time which of the three tariffs should be selected in order to minimise total costs? What is the estimated hire cost for this tariff?

  9. A small town has 3 companies that provide a pizza home delivery service. Last week Company A delivered 175 pizzas. Company B delivered 40% more than this. Company C delivered twice as many pizzas as Company B. How many pizzas did the three companies deliver in total last week?
  10. An investor purchased a block of shares in Company X and held them for 12 months. During this period she received £220 in dividends. If she had held 800 more shares for the year she would have received £88 more in total annual dividends. How many shares in Company X did she actually have?