Level 2
The figure is made up of a circle and a square, KLMO of area 25 cm2. K is the centre of the circle. Calculate the total shaded area of the figure. (Take π = 3.14)
2 m
Level 2
What is the total area of the 2 squares?
2 m
Level 2
The figure is made up of a quadrant, a square and a semicircle. The area of the square is 169 cm2. Find the area of the shaded parts. (Take π = 3.14)
2 m
Level 2
The figure is formed by 2 semicircles, 2 identical quarter circles and a square ABCD. The perimeter of square ABCD is 60 cm. What is the total area of the shaded parts? Express the answer in the nearest whole number. (Take π = 3.14)
2 m
Level 2
The figure, not drawn to scale, is made up of Square A and Rectangle B. The area of Square A is 49 cm2. The length of Square A is the same as the breadth of Rectangle B. If the length of the Rectangle B is 26 cm, what is the total area of Figure A and B?
2 m
Level 2
The figure, not drawn to scale, consists of a large square and 3 identical small squares. The side of the large square is twice the side of the small square. If The area of the small square is 4 cm2. Find the area of the figure.
2 m
Level 3
The figure shows a series of steps built using square cubes. The n number of steps is given by x -step.
  1. How many square cubes were used if n is 5?
  2. How many square cubes were used if n is 40?
  3. Find the number of steps if a total of 144 square cubes are used.
3 m
Level 3
The diagram shows a sequence of patterns formed by square tiles. By considering the pattern information in the table, answer the questions.
  1. Find the number of tiles at the bottom layer in the 29th pattern
  2. Find the total number of tiles in Pattern 50.
3 m
Level 2
A container, which is 10 cm long, 9 cm wide and 7.55 cm deep, holds 1510 g of sugar. If 4.95 kg of the same sugar is packed into a tin with a 15-cm square base, how tall must the tin be?
3 m
Level 2
PQRS is a square of side 16 cm. W, X, Y and Z are the mid-points of each side of the square PQRS. Find the area of WXYZ.
2 m
Level 2
The figure is made up of 4 identical squares. What percentage of the figure is shaded?
2 m
Level 2
The figure is formed using four identical isosceles triangles. AGD, AFB, BEC and CHD. ABCD is a square where E, F, G and H are midpoints of its sides. Given FJ = CJ, HK = BK and AD = 14 cm, find the total area of the shaded parts.
2 m
Level 3
The figure shows an empty transparent tank made from three containers. The two containers A and B on top are in the form of cuboids which have square bases of side 6 cm and 4 cm as shown in the figure. The bottom container is in the form of a cube of side 14 cm. 3.42ℓ of water are poured into the empty vase. Find the height of the water level from the base of the vase. (1 litre = 1000 cm3)
3 m
Level 3 PSLE
The figure shows an empty flower vase of height 40 cm. It is made from 2 containers. The top container is in the form of a cuboid which has a square base side 4 cm and height 28 cm. The bottom container is in the form of a cube of 12 cm. 2.16 litres of water is poured into the empty vase. What is the height of the water level from the base of the vase? (1 litre = 1000 cm3 )
3 m
Level 2
The figure shown is cut from a piece of paper. ABCD is a square and EFGH is a rectangle. Find the area of the figure.
2 m
Level 2
The figure is made up of 3 identical squares with each side measuring 4 cm. Find the perimeter of the figure.
2 m
Level 2
The width and height of the cuboid are the same. Its length is twice of its width. Find the volume of the cuboid.
3 m
Level 2
ABCD and EFGC are different squares. Given that ∠EHC = 70°, find ∠ACE.
2 m
Level 2
The figure is made up of 2 squares ABCD and CWXY. ∠WCB is 35°. Find the sum of ∠WCD and ∠BCY.
2 m
Level 2 PSLE
The shaded figure is formed by two identical circles with centres at A and C. ABCD is a square and the length of AB is 7 cm. Find the perimeter of the shaded figure. (Take π = 227)
2 m