Question:

Level 1

In the figure, not drawn to scale, PQRS is a rhombus. ∠QSP is 53°. RST is a straight line. Find ∠PST.

In the figure, not drawn to scale, PQRS is a rhombus. ∠QSP is 53°. RST is a straight line. Find ∠PST.

2 m

Level 3

The figure is not drawn to scale. ABCD is a rhombus and ∠BCF is 98°. BDF, CGF, EGD are straight lines. Find ∠DFG.

The figure is not drawn to scale. ABCD is a rhombus and ∠BCF is 98°. BDF, CGF, EGD are straight lines. Find ∠DFG.

3 m

Level 3

In the figure, not drawn to scale, HIJ is equilateral triangle, HIJK and LMNP are identical rhombuses. Given that HI is parallel to PN, ∠MRS = 12° find ∠KRS.

In the figure, not drawn to scale, HIJ is equilateral triangle, HIJK and LMNP are identical rhombuses. Given that HI is parallel to PN, ∠MRS = 12° find ∠KRS.

3 m

Level 3

In the figure, not drawn to scale, O is the centre of the semi circle and OABC is a rhombus. ∠OCD = 32°. Find

In the figure, not drawn to scale, O is the centre of the semi circle and OABC is a rhombus. ∠OCD = 32°. Find

- ∠x
- ∠y.

3 m

Level 3

In the figure, not drawn to scale, QSTU and PRUV are rhombuses. Given that ∠TSR = 116° and ∠QPV = 124°, find

In the figure, not drawn to scale, QSTU and PRUV are rhombuses. Given that ∠TSR = 116° and ∠QPV = 124°, find

- ∠PVR
- ∠RWQ.

3 m

Level 3

The figure shows 3 identical isosceles triangles X, Y and Z, one more isosceles triangle, W, and a rhombus, C. What is the value of a?

The figure shows 3 identical isosceles triangles X, Y and Z, one more isosceles triangle, W, and a rhombus, C. What is the value of a?

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

In the figure, O is the centre of the circle and OXYZ is a rhombus. Find the value of ∠a + ∠b + ∠c + ∠d.

In the figure, O is the centre of the circle and OXYZ is a rhombus. Find the value of ∠a + ∠b + ∠c + ∠d.

3 m

Level 3

The figure, not drawn to scale, is made up of an isosceles triangle and a rhombus. ∠c = ∠b, ∠a is twice ∠d, ∠b is twice ∠e and ∠c is less than ∠e by 51°.

The figure, not drawn to scale, is made up of an isosceles triangle and a rhombus. ∠c = ∠b, ∠a is twice ∠d, ∠b is twice ∠e and ∠c is less than ∠e by 51°.

- Find ∠c.
- Find the difference between ∠a and ∠c.

4 m

Level 3

In the figure, ADGJ is a rectangle, GHJK is a rhombus and DEFG is a parallelogram. ∠GHJ = 76° and ∠FGH = 94°.

In the figure, ADGJ is a rectangle, GHJK is a rhombus and DEFG is a parallelogram. ∠GHJ = 76° and ∠FGH = 94°.

- Find ∠CGD.
- Find ∠GFE.

4 m