Level 3 PSLE
Esther and Margi took part in a cycling race. Esther cycled at a speed of 20 km/h. Both of them did not change their speed throughout the race. When Margi covered 12 the distance, Esther was 3.5 km in front of her. Esther reached the finishing line at 10.45 a.m. What time did Margi reach the finishing line?
3 m
Level 3 PSLE
In the figure, QRST is a square and QPT is an equilateral triangle. Given that USV is 12°, find ∠QSU.
3 m
Level 3
What is the total area of the shaded parts in the figure?
3 m
Level 3
A bus and a car started travelling from Town A to Town B at the same time. After 5 hours, the car reached Town B while the bus covered only 710 of the journey. The speed of the car was 21 km/h more than the speed of the bus. Find the speed of the bus.
3 m
Level 3
In the figure, not drawn to scale, JKLM is a square. PKL is an equilateral triangle. What is ∠PQN?
3 m
Level 3
Jen and David started running together along a cross country track. When David completed the track in 40 minutes, Jen had run only 58 of the track. Jen’s average speed was 75 m/min slower than David’s.
  1. How long was the cross country track in m?
  2. Find Jen’s average speed in m/min.
3 m
Level 3 PSLE
In the figure, RXYZ is a parallelogram. PZR and QZY are straight lines and PQ = QR. ∠PQZ = 28° and ∠XYZ = 52°.
  1. Find ∠YZR.
  2. Find ∠ZQR.
3 m
Level 3
The figure shows the Triangle PQR that is divided into 4 parts a, b, c and d. The line PZ divides the triangle into 2 equal parts. The ratio of Area a to Area b is 1 : 3 and the ratio of Area b to Area c is 5 : 2. Area d is 210 cm2. What is the area of Triangle PQR?
3 m
Level 3 PSLE
Alice and Hilda started jogging from the same point of a 5 km track round a housing estate. They started at the same time but in opposite directions. Alice jogged past Hilda after 2 km. Both of them did not change their speeds throughout. Alice took 30 min to complete one round. What was Hilda's jogging speed in m/min?
3 m
Level 3 PSLE
ABCD and CFGE are identical parallelograms. HCB and EDC are identical right-angled triangles.
  1. Find ∠x.
  2. Find ∠y.
  3. Select the words that describe BHF in the statement:
    BHF (is/is not) a straight line because the sum of angles BHC and CHF (is/is not) 180° Give your answers in this format. (Eg is, is not)
3 m