Question:

Level 2

The perimeter of an isosceles triangle is (6k + 21) cm. The longest side is (2k + 7) cm. Find the length of one of the equal sides.

2 m
The perimeter of an isosceles triangle is (6k + 21) cm. The longest side is (2k + 7) cm. Find the length of one of the equal sides.

The figure is not drawn to scale. ∠PQR is a quadrant. Find ∠QRN.

2 m

Level 1

In the figure, ABCD is a square. CEF and AEF are isosceles triangles and ∠BAE = 25°. Find ∠AFE.

In the figure, ABCD is a square. CEF and AEF are isosceles triangles and ∠BAE = 25°. Find ∠AFE.

2 m

Level 2

The figures F and G, are two identical isosceles triangles. Both figures contain a square of a different size. Given that the area of the square in Figure F is 252 cm^{2}, find the area of the square in Figure G.

The figures F and G, are two identical isosceles triangles. Both figures contain a square of a different size. Given that the area of the square in Figure F is 252 cm

2 m

Level 2

XYZ and OYZ are isosceles triangles. XY = XZ, OY = OZ, ∠XYO = 18° and ∠YOZ = 80°. Find ∠a.

XYZ and OYZ are isosceles triangles. XY = XZ, OY = OZ, ∠XYO = 18° and ∠YOZ = 80°. Find ∠a.

2 m

Level 2 PSLE

R is one of the points inside the box. Identify point R by the number next to the dot to complete a triangle PQR so that PQ = PR. Give your answer in number. (Eg 1)

R is one of the points inside the box. Identify point R by the number next to the dot to complete a triangle PQR so that PQ = PR. Give your answer in number. (Eg 1)

1 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.

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 2

The figure is formed by a circle and an isosceles triangle where PQ = PR. The radius of the circle is 14 cm. Find the area of the shaded part. (Take π =^{22}_{7})

The figure is formed by a circle and an isosceles triangle where PQ = PR. The radius of the circle is 14 cm. Find the area of the shaded part. (Take π =

2 m

Level 3

ABCD is a square. QPC and BPD are straight lines. BA = BQ and ∠PBQ = 13°. Find

ABCD is a square. QPC and BPD are straight lines. BA = BQ and ∠PBQ = 13°. Find

- ∠BAQ
- ∠DCQ

3 m

Level 3 PSLE

In the figure, WXZV is a square, XY = XW and XYZ is an equilateral triangle. Find ∠YWZ.

In the figure, WXZV is a square, XY = XW and XYZ is an equilateral triangle. Find ∠YWZ.

3 m