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
Three planks of different lengths, X,Y and Z are nailed together to make a frame as shown. Plank X has 3 holes which divide it into 4 equal parts. Plank Y has 4 holes which divide it into 5 equal parts and Plank Z has 5 holes which divide it into 6 equal parts. In the frame, the holes A, B and C are three corners of an equilateral triangle. Plank X is 120 cm long. What is the total length of Plank X, Plank Y and Plank Z?

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
The figure shows a square that is cut out from a big triangle. The area of the triangle and that of the square are whole numbers. Both the height and the base of the triangle are equal. If the shaded area is 73 cm², find

1. The length of the square
2. The base of the triangle

Level 3
The figure, not drawn to scale, is made up of 2 identical squares, ABCD and WXYZ. The length of each square is 10 cm. Point W is the centre of square ABCD.

1. What fraction of the figure is shaded?
2. What is the area of the unshaded parts?

Level 3
The figure shows a rectangle WXYZ. The lines are extended from point W, X, Y and Z and they meet at point B. The length of YZ is 30 cm. Given that the area of triangle WBZ is 65 cm² and the area of triangle XBY is 105 cm², find the breadth of the rectangle in mixed number.

Level 3
In the figure, ABCD is a parallelogram with length AD twice the length of AB. ADE is an equilateral triangle. F is a point on AE such that AF = FE. ∠BCD is 104°. Find ∠FBC .

Level 2 PSLE
The outline of the shaded figure is formed by 3 identical small quarter circles, 2 identical large quarter circles and 3 straight lines. Take π = 3.14

1. What is the radius of the large quarter circle?
2. Find the perimeter of the shaded figure.

Level 3 PSLE
A plot of land which had an area of 876 m² was divided into three portions of equal width. These portions were fenced using 177 m of fence as shown.

1. Find the length of AB.
2. Find the perimeter of the plot of land.