Level 3
Each figure is made up of a number of identical sticks of 1-cm length.

1. Find the perimeter of Figure 50.
2. Find the number of sticks in Figure 100.
3. Given that a figure has a perimeter, P, of 254 cm, find the number of squares in this figure.

Level 3
The area of the triangle to the area of the rectangle in the figure is in the ratio 3 : 2. After the shaded rectangle of length 8 cm is removed from the figure, the ratio of the remaining area of the triangle to the remaining area of the rectangle is 5 : 3. Given that the area of the triangle is 32 cm² more than the area of the rectangle, find the width of the shaded rectangle that is being removed.

Level 3
The figure shows 2 rectangles. The length of the bigger rectangle is (6m + 8) cm and the breadth is half its length. Find the perimeter of the smaller rectangle.

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.

Level 2
The figure is made up of a square and a rectangle. The area of the square is ¹₃ the area of the rectangle. Given that ¹₂ of the square is shaded, what fraction of the whole figure is unshaded?

Level 3
The figure, not drawn to scale, is made up of Square A and Rectangles B and C. The area of Square A is ⁸₉ of the total area of Rectangles B and C. ¹₄ of Square A is shaded. ¹₄ of Rectangle B is shaded. ¹₆ of Rectangle C is shaded. What fraction of the figure is shaded?

Level 3
A T-shaped block consists of 4 squares of 1 cm² each and the perimeter is 10 cm. Study the pattern with 1 block arranged to form 2 blocks and 3 blocks respectively.

1. Find the perimeter of the pattern that consists of 20 blocks.
2. If a pattern has a perimeter of 106 cm, find the number of squares that makes up the pattern.

Level 3
Each of the figure is made up of 2-cm sticks. The table shows the total length of sticks used for each figure and the perimeter of each figure.

1. Complete the table for Figure 4 (i).
2. Complete the table for Figure 4 (ii).
3. Which figure number will have a perimeter of 2604 cm?

Level 3
The figure is made of identical triangles.

1. Complete the table for layers 5 and 10.
2. If each small triangle has a height of 4 cm and a perpendicular base of 3 cm. Find the area of all the triangles at the 29th layer.

Level 3
The diagram shows 3 squares, the length of which are 1 cm, 2 cm and 3 cm respectively. Each square is made up of small squares which has a length of 1 cm and alternate squares are coloured grey and white.

1. How many small grey squares are needed to create a square of side 11 cm?
2. Find the length of the side of a square if 196 small grey and white squares are used to create it.
3. Find the number of small white squares when a square of side 18 cm is created?

Level 3
The figure shows an irregular 5-sided figure and a square. The area of the five-sided figure was three times the area of the square. After the shaded part was removed, the area of the remaining square became 15% of the total remaining area of both figures. If the area of the shaded part is 16 cm², find the remaining area of the 5-sided figure.

Level 3
The equilateral triangles are formed using 2 cm-sticks.

1. How many sticks are needed to form pattern 5?
2. In which pattern will each side of the triangle measure 32 cm?
3. Calculate the number of shaded triangles in Pattern 100.

Level 3
1-cm square tiles and triangular tiles were used to make some figures. The area of each triangular tile was half that of a square tile. The first four figures are shown.

1. Find the area of Figure 5.
2. How many squares were used to make a figure with an area of 180.5 cm²?

Level 3
Squares of sides 2 cm are arranged to create a pattern as shown.

1. Find the number of squares needed for Figure 20.
2. Find the area of Figure 10.
3. Find the perimeter of Figure 40.

Level 3 PSLE
A square, not drawn to scale, is made up of four triangles A, B, C and D. The area of A is ¹₁₀ the area of the square while the area of B is ¹₆ the area of the square.

1. The total areas of A and B is 240 cm². What is the length of each side of the square?
2. What fraction of the square is Area of D?