Level 3
Betty and Eva shared some stickers. Betty had 60% of what Eva had at first. Betty then gave Eva 37 of what she had. How many more percent did Eva have than Betty in the end? Correct the answer to 1 decimal place.
4 m
Level 3
The figure is not drawn to scale. It shows the net of a solid. It is made up of 4 identical rectangles and 2 identical squares. Line A is 30 cm long and Line B is 15 cm long.
  1. Find the volume of the solid.
  2. This solid is a cardboard carton containing small boxes of sweets. Each box of sweets is 3 cm by 2 cm by 1 cm. If all these small boxes of sweets in the carton occupy more than 75% of the carton's volume, what is the minimum number of small boxes of sweets in the carton?
4 m
Level 3
The figure, not drawn to scale, is made up of semicircles in a rectangle ABCD. XY is the common baseline for all the semi-circles.
  1. Find the length of AB.
  2. Using the calculator π, find the perimeter of the shaded parts. Give the answer correct to 2 decimal places.
3 m
Level 3
A cylindrical dispenser of capacity 5.7 ℓ was filled with apple juice to its brim. The milk in the dispenser was then dispensed into a cubical container of sides 18 cm, through a tap flowing at a rate of 200 mℓ/min. After 15 min, the tap was turned off and the container was 23 full.
  1. What percentage of the milk in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
  2. How many litres of milk were there in the container at first? (1 ℓ = 1000 cm3)
5 m
Level 3
The figure shows two identical semi-circles. XY is a straight line. X and Y are the centres of the semi-circles. Given that the radius of the semi-circle is 10 cm, find the area of the shaded regions. Express the answer correct to 1 decimal place. (Take π = 3.14)
3 m