Level 2
W, X, Y and Z are mid-points of the sides of the square. If the area of the square is 100 cm2, what is the area of the unshaded triangles? Leave your answer in mixed number.
2 m
Level 3
This figure is not drawn to scale. It is made up of 3 squares. The ratio of the area of the smallest square to the largest square is 2 : 9 while the shaded area is 37 of the unshaded area. What is the ratio of the shaded area to the area of the smallest square?
3 m
Level 2 PSLE
In the figure, EFGH is a square, FJKL is a rectangle and ∠GFL = 249°. Find ∠ EFJ.
2 m
Level 3
The square is divided into 4 parts, W, X, Y and Z. W and X form 12 of the square. The area of Y is double of the area of Z, while the ratio of the area of X to the area of W is 1 : 3. What fraction of the square is the sum of the area of X and Y? Leave the answer(s) in the simplest form.
3 m
Level 2 PSLE
The shaded figure is formed using 3 squares and 3 equilateral triangles. The length of the straight line PQ is 15 cm. Find the perimeter of the shaded figure.
2 m
Level 3
The figure is made up of two squares and a triangle. The ratio of the area of Triangle X to that of Square Z is 11 : 1. The ratio of the shaded area to that of the unshaded area is 1 : 3. If the difference between areas of Triangle X and Square Y is 464 cm2, what is the area of Square Z?
3 m
Level 2
A square piece of paper is folded as shown in the figure.
  1. Find ∠ADE.
  2. Find ∠EDC.
2 m
Level 2
The figure is formed by 6 identical squares with 4 similar semi-circles cut out from it. Each square has a side of 14 cm. Find the perimeter of the shaded figure. Express the answer in terms of π.
2 m
Level 2
The figure is formed by 5 identical squares with 3 similar semi-circles cut out from it. Each square has a side of 14 cm. Find the perimeter of the shaded figure. Leave the answer in terms of π.
2 m
Level 2 PSLE
Anna has a square piece of paper FGHJ of side 21 cm. She cut along the dotted lines shown in Figure 1 to get one small square of area 9 cm2 and 8 identical right-angled triangles. Triangle KLM in Figure 2 is one such triangle. Find the length of KM.
2 m