Question:

Level 3

The figure is not drawn to scale. It is made up of a square and a rectangle. The ratio of the area of the square to that of the rectangle is 3 : 4. After the shaded part is cut out, the ratio of the area of unshaded part of the rectangle to that of the unshaded part of the square is 2 : 1. Given the length of the square is 9 cm, find the area of the shaded part.

The figure is not drawn to scale. It is made up of a square and a rectangle. The ratio of the area of the square to that of the rectangle is 3 : 4. After the shaded part is cut out, the ratio of the area of unshaded part of the rectangle to that of the unshaded part of the square is 2 : 1. Given the length of the square is 9 cm, find the area of the shaded part.

3 m

Level 2

A rectangular strip of paper is folded at an angle of a° to the side, forming an angle of 40° as shown. What is the value of ∠a?

A rectangular strip of paper is folded at an angle of a° to the side, forming an angle of 40° as shown. What is the value of ∠a?

2 m

Level 3

A rectangular piece of paper is folded along the diagonal as shown in Figure B. It is folded again as shown in Figure C before the last fold in Figure D. If the angle is 62° in Figure D, what is ∠a?

A rectangular piece of paper is folded along the diagonal as shown in Figure B. It is folded again as shown in Figure C before the last fold in Figure D. If the angle is 62° in Figure D, what is ∠a?

3 m

Level 3

The figure is not drawn to scale. EFCH is a square. ABCD and CXYZ are similar rectangles which overlap to form ∠s. Given that ∠FCX = 37° and that ∠HCD = ∠BCH, find ∠s.

The figure is not drawn to scale. EFCH is a square. ABCD and CXYZ are similar rectangles which overlap to form ∠s. Given that ∠FCX = 37° and that ∠HCD = ∠BCH, find ∠s.

3 m

Level 3

The figure shows a rectangle ABCD being folded along AT. Given that ∠TAC = 18° find

The figure shows a rectangle ABCD being folded along AT. Given that ∠TAC = 18° find

- ∠y
- ∠z

3 m

Level 3 PSLE

In the figure, LMNP is a rectangle and PON is a straight line. ∠LPM = 28° and ∠MON = 80° , find ∠PMO.

In the figure, LMNP is a rectangle and PON is a straight line. ∠LPM = 28° and ∠MON = 80° , find ∠PMO.

3 m

Level 3

A rectangular piece of paper is folded along the dotted line as shown. Find

A rectangular piece of paper is folded along the dotted line as shown. Find

- ∠a
- ∠b.

3 m

Level 3

In the figure, not drawn to scale, two rectangles, ABHI and GHJK overlap each other as shown. Given that AD//GF and CF//DE.

In the figure, not drawn to scale, two rectangles, ABHI and GHJK overlap each other as shown. Given that AD//GF and CF//DE.

- Find ∠a.
- Find ∠b.

3 m

Level 3

In the figure, not drawn to scale, shows a rhombus and a rectangle lined up between two poles. Find ∠z.

In the figure, not drawn to scale, shows a rhombus and a rectangle lined up between two poles. Find ∠z.

3 m

Level 3

A rectangular piece of paper was folded as shown. Find ∠EGI.

A rectangular piece of paper was folded as shown. Find ∠EGI.

3 m