Level 3
In the figure, EFG is an equilateral triangle, ABCD is a square and FBCG is a straight line. Find the sum of ∠a, ∠b, ∠c and ∠d.
4 m
Level 3
In the figure, not drawn to scale. ABCD is a square. CDE is an equilateral triangle and AC is a straight line. Find
  1. One-third of ∠AFE
  2. Twice of ∠ECF
4 m
Level 3 PSLE
The figure shows a rectangular grass patch and an L-shaped footpath. The width of the footpath is 100 cm. The footpath is tiled using 38 circular tiles of diameter 50 cm, following the pattern shown. Each tile is in contact with those next to it.
  1. What is the area of the footpath not covered by the tiles? Take π = 3.14.
  2. What is the perimeter of the grass patch?
4 m
Level 3
Trees were planted along each side of a square garden so that an equal number of trees are found along each side of the garden. If 40 trees were planted, how many trees were there along each side of the garden?
4 m
Level 3
The following figures are made of ovals.
  1. How many ovals will there be in Figure 6?
  2. How many ovals will there be in Figure 88?
  3. Which figure will have 5305 ovals?
5 m
Level 3
In the figure not drawn to scale, 4 identical rectangles were placed around square ABCD to form a larger square, EFGH. The area of one rectangle is 12 cm2, and the area of ABCD is 14 of EFGH. Find the length of one rectangle.
4 m
Level 3
ABHI and CDGH are identical squares. Given that ∠DEF = 60° and FI is a straight line, find ∠HBC.
4 m
Level 3
Container A, measuring 25 cm by 12 cm by 21 cm, is filled with water to the brim. Container B is an empty rectangular container with a square base of edge 20 cm. After some water from Container A is poured into Container B, the height of water in the two containers is the same. Find the height of the water.
5 m
Level 3
A square garden has a side of 40 m. An equal number of trees were planted on each side of the square. Each tree is 8 m away from the next tree. One tree was already planted at points A, B, C and D of the square respectively. How many more trees must be planted?
3 m
Level 3
The figure shows 4 similar right-angled triangles arranged to form a big square which encloses a circle. The midpoints of the 4 sides of the big square touch the circumference of the circle. The two sides which form the right angle of each triangle are 16 cm and 12 cm respectively. Find the area of the shaded part. (Take π = 3.14)
4 m