Level 3
After 20 minutes into a race, Daniel has run 58 of the route while Piolo has covered only 38 of the distance. Daniel runs at the same average speed throughout the race and Piolo's average speed is 60 m/min slower than Daniel's. If Piolo wants to finish the race at the same time as Daniel, by how many percent should he increase his average speed by for the remaining part of the race? Round off the answer to the nearest whole number.
4 m
Level 3 PSLE
The figure shows the amount of water in two rectangular Tanks, A and B, at first.
Ray poured 14 of the water from A into B to fill it to the top, without overflowing.
  1. How much water was there in A at first?
  2. Ray then poured all the water from B into A. 720 cm3 of water overflowed from A. What was the height of A?
5 m
Level 3
The figure is not drawn to scale. It shows an empty container made up of a cuboid, measuring 40 cm by 25 cm by 25 cm and 2 similar cubes of sides 5 cm. Line A is 10 cm. 12.5 ℓ of water is poured into the top cube into the cuboid.
  1. What is the height of the water level from the base of the container?
  2. How much more water in cm3 must be poured in so that the water fills up half of the top cube?
5 m
Level 3
The figure, not drawn to scale, is made up of 2 identical squares, ABCD and WXYZ. The length of each square is 10 cm. Point W is the centre of square ABCD.
  1. What fraction of the figure is shaded?
  2. What is the area of the unshaded parts?
4 m
Level 3
The figure is not drawn to scale. Triangle ABZ is an isosceles triangle. Triangle XYZ is an equilateral triangle. ∠BZA is 15 of ∠YXZ and ∠YZB = ∠XZA.
  1. Find ∠YZB.
  2. Find ∠XAZ.
4 m