Level 3
PQRS, PABS and ABRQ are rectangles. AQ is twice as long as AP. Find the area of the shaded parts.
3 m
Level 3
Bus X and Bus Y left the same bus station at uniform speeds in the same direction round a 48-km circular route. Bus X took 45 minutes to complete each round while Bus Y took 30 minutes.
  1. How long would it take Bus Y to meet Bus Y for the first time? Express the answer in mixed number of hours.
  2. How far would Bus X be behind Bus Y after 12 hour?
3 m
Level 3 PSLE
EFG is an equilateral triangle and ABCD is a rhombus. DGH is a straight line. Find ∠z.
3 m
Level 3
Helen and Jomarie started off from the same place and drove at uniform speeds in the same direction round a 40-km circular racing track. Helen completed each round in 40 minutes. Jomarie took 50 minutes to complete each round.
  1. How far would Jomarie be behind Helen after 1 hour?
  2. How long after they started would it take Helen to meet Jomarie for the first time?
3 m
Level 3 PSLE
ABCD and BDEF are rhombuses. CGD is a straight line.
  1. Find ∠DBG.
  2. Find ∠CDE.
3 m
Level 3
The figure is made up of 7 identical rectangles.
  1. Find the perimeter of the figure.
  2. Find the shaded area.
3 m
Level 3
The figure shows a piece of square paper ABCD folded at two of its corners B and D. Given that ∠CFD = 81° and ∠BEC = 78°, find ∠BCD.
3 m
TRY FOR FREE
Level 3
Peter had a square piece of paper. He cut it along the dotted lines as shown in Figure 1 to get one small square of side 2 cm and four identical right-angled triangles. One such triangle is shown in Figure 2. Find the perimeter of the square piece of paper in Figure 1 before it was cut.
3 m
Level 3 PSLE
The figure is made up of 3 squares. Find ∠a.
3 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