Level 3
Some oil is leaking from a crack of a bottle. After z minutes, the volume, V, of the oil left in the bottle is given as V = 40(100 - 5z) cm3. How much oil will be left in the tank after 10 minutes? Give your answer in litres.
3 m
Level 3
Mrs Jensen paid a total of $38 for 3n pens and 4 markers. Each pen cost $2.
  1. Express the cost of 1 marker in terms of n.
  2. If n = 4, how much did each marker cost?
3 m
Level 3
A van travels 20 km in 5r minutes. How far will it travel in k hours?
3 m
Level 3
The cost price of a necklace was $9w. Dorothy decided to make 10% profit from the necklace. During a sale, a customer bought the necklace at a discount of 10%. What was Dorothy's loss?
4 m
Level 3
Ali is b years old. Bill is four times as old as Ali and Calvin is 6 years younger than Bill.
  1. Express Calvin's age in terms of b.
  2. Ali is 10 years as of now. ln how many years' time will Calvin be 3 times as old as Ali?
4 m
Level 3
The figure shows 2 rectangles. The length of the bigger rectangle is (6m + 8) cm and the breadth is half its length. Find the perimeter of the smaller rectangle.
4 m
Level 3
The perimeter of triangle A is equal to that of rectangle B.
  1. Find the length of rectangle B in terms of k.
  2. If k = 3, find the area of rectangle B.
4 m
Level 3
One pencil costs $x. One pen costs $(x + 20). One ruler costs $4x.
  1. Vince bought 2 pencils, 3 pens and 1 ruler. How much did he spend? Simplify your answer in terms of x.
  2. If x = 20, how much did Vince spend altogether?
4 m
Level 3
A rectangle has a length of 6p cm and a breadth of 4q cm. Find
  1. its area in terms of p and q,
  2. its perimeter in terms of p and q,
  3. the area of the rectangle if p = 2 and q = 3.
4 m