Level 2
The figure shows a right-angled triangle and an isosceles triangle. Find ∠p.
2 m
Level 2
In the figure, EF, GH and CD are straight lines and ∠ECH = 148°. What is the value of ∠DCH?
3 m
Level 2
In the figure, VOW is a straight line and both ∠UOX and ∠ZOY are right angles. Given that ∠VOZ = 21° and ∠UOW = 67°, find ∠YOX.
3 m
Level 2
In the figure, ABCD is a rectangle. ∠ABE = 52° and ∠ECD = 28°. What is the value of ∠BEC?
3 m
Level 2
In the figure, AB and CD are straight lines. ∠AOC is 54°. What is the sum of ∠a and ∠b?
3 m
Level 3
In the figure, MNOP is a square and OPQ is an equilateral triangle. Find ∠a.
3 m
Level 3
In the figure, ABCD is a square and AEFC is a rectangle. EC is a straight line and ∠ECF = 58°. Find ∠ECB.
3 m
Level 3
A rectangular piece of paper is folded to form the diagram.
  1. Find ∠a.
  2. Find ∠b.
3 m
Level 3
ABCD is a rectangular piece of paper. Corners C and D are folded upwards as shown. ∠CFG = 23° and ∠DFE = 16 °
  1. Find ∠CGF
  2. Find ∠DFC
3 m
Level 3
In the figure, O is the centre of the circle. ∠ABD is 90°. Find ∠x.
3 m
Level 3
In the figure, EFG is an equilateral triangle, ABCD is a square and FBCG is a straight line. Find the sum of ∠a, ∠b, ∠c and ∠d.
4 m
Level 3
ABCE is a rectangle. Given that FBD is an isosceles triangle, find ∠DBC.
4 m
Level 3
ABHI and CDGH are identical squares. Given that ∠DEF = 60° and FI is a straight line, find ∠HBC.
4 m
Level 3
VXY is an equilateral triangle, PQRS is a rectangle and TUYX is a trapezium. VXT and VYU are straight lines. If ∠f = 80°, find
  1. ∠XTU
  2. Sum of ∠g, ∠h, ∠i and ∠j.
4 m
Level 3
The figure is not drawn to scale. MNOP is a square. JKLM is a parallelogram.
  1. Name the trapezium in the figure. Give your answer in letters in alphabetical order. (Eg ABCD)
  2. Find ∠JMP
4 m
Level 3
A piece of paper is folded as shown. The ratio of ∠a to ∠b is 3 : 2.
  1. Find ∠a.
  2. Find ∠c.
4 m
Level 3
The figure shows three identical squares ABCD, CEFG and CJIH. ∠DCE = 40° and ∠GCH = 27°. Find ∠x.
4 m