Question:

Level 2

The figure shows a rectangular piece of paper folded at corner C. Find ∠BAC.

The figure shows a rectangular piece of paper folded at corner C. Find ∠BAC.

2 m

Level 2

The figure shows 4 triangles. Find the sum of ∠m + ∠n + ∠h + ∠j + ∠k + ∠l.

The figure shows 4 triangles. Find the sum of ∠m + ∠n + ∠h + ∠j + ∠k + ∠l.

2 m

Level 2

If ∠x is 120 °, find the sum of ∠u, ∠v, ∠w, ∠y,and ∠z.

If ∠x is 120 °, find the sum of ∠u, ∠v, ∠w, ∠y,and ∠z.

2 m

Level 1

In the figure, EFG is an equilateral triangle and ∠FGH = 70°. Find ∠a.

In the figure, EFG is an equilateral triangle and ∠FGH = 70°. Find ∠a.

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

A square piece of paper is folded as shown in the figure.

A square piece of paper is folded as shown in the figure.

- Find ∠ADE.
- Find ∠EDC.

2 m

Level 2

An equilateral triangle, XYZ, is folded as shown in the figure. Find

An equilateral triangle, XYZ, is folded as shown in the figure. Find

- ∠BAZ
- ∠YBZ.

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

In the figure, ABCD is a parallelogram and BEF is a triangle. EG is a straight line and HG is parallel to DC. ∠DGH = 110° and ∠ADG = 130°. Find ∠ABC.

In the figure, ABCD is a parallelogram and BEF is a triangle. EG is a straight line and HG is parallel to DC. ∠DGH = 110° and ∠ADG = 130°. Find ∠ABC.

2 m

Level 2

The figure, not drawn to scale, shows a regular 5-point star and ∠a = ∠b = ∠c = ∠d = ∠e.

The figure, not drawn to scale, shows a regular 5-point star and ∠a = ∠b = ∠c = ∠d = ∠e.

- Express ∠f as a sum of two angles. Give the answers in equation. (Eg ∠a + ∠b)
- lf ∠e = 32°, find ∠f.

2 m