MSU: Test Yourself (ANSWERS)

Use these questions to test yourself on the whole course. Try to do numbers 1-20 without a calculator.

  1. Calculate:
  1. Calculate:
  1. Calculate:
  1. Calculate:
  1. Calculate:
  1. If a water butt holds 210 litres and is full, how much water is in it?
  1. Change to a mixed number.
  1. Change to an improper fraction.
  1. Work out:
  1. Work out:
  1. Work out:
  1. Work out: 4
  1. 520
  1. 0.016
  1. 8.6
  1. 4.88
  1. 0.036
  1. 48
  1. Find 15% of 340.51
  1. If an item costs £48, how much will you save in a 20% off sale?£9.60
  1. A car priced at £8400 is offered at a reduction of 10%. What is the new price?£7560
  1. The value of a house increased by 60%. If the house was bought for £52,000 how much is it worth now? £83,200
  1. If I read 150 pages of a 200 page book, what percentage have I read?75%
  1. An item increases in value from £25 to £30. What is the percentage increase?20%
  1. An item decreases in value from £1200 to £1140. What is the percentage decrease?5%
  1. Write as a ratio in its simplest form.2:15
  1. Prize money is shared in the ratio 5:2:1. If the total prize money is £400, how much will be given for 1st, 2nd and 3rd prize? £250 / £100 / £50
  1. A smoothie recipe uses strawberries and raspberries in the raio 3:2. If I use 600g of strawberries what weight of raspberries should I use? 400g
  1. Round 29.1592 to 2 decimal places.29.16
  1. Round 347.52 to 2 significant figures.350
  1. Simplify:
  1. Solve to find :
  1. Work out:
  1. Work out:
  1. Simplify:
  1. Simplify:
  1. Simplify:
  1. Simplify:
  1. Write as a root.
  1. Write as a fractional power.
  1. Write down:
  1. Write down:
  1. Factorise the following as much as possible:
  1. If , find .
  1. A car hire company uses the following formula to calculate charges: . (where C=total cost and d= number of days.) Calculate the cost to hire a car for 1 week.
  1. Multiply out the brackets:
  1. Solve the simultaneous equations:
  1. Solve by using the quadratic formula:
  1. Solve by completing the square:
  1. Solve by factorising:
  1. Find the and intercepts of the following straight line:
  1. Find the equation of the straight line with a gradient of and passing through the point .
  1. Find the equation of the straight line passing through the points and .
  1. Differentiate:
  1. Given the function , find the gradient of the function when .

Gradient = 14

  1. For the following function find where the stationary point is and use the 2nd differential to determine its type: . S.p. when

Minimum

  1. Sketch the following quadratic (showing any intercepts and the stationary point): .
  1. Sketch the conic: .
  1. Sketch the conic: .
  1. Sketch the conic: .
  1. Use your calculator to find:
  1. Write as a single log:
  1. Solve to find .
  1. Solve to find .
  1. If and find and .
  1. If , find .
  1. If , find (the inverse).
  1. Given that and . Find .
  1. Given that and . Find .
  1. Given the function find the domain and the range.Domain

Range or