Level 1
The figure is made up of straight lines. Find the unknown ∠y.
1 m
Level 3
In the figure, ABCD and BPQR are two rhombuses. If ∠PQR = 114° and ∠ADC = 96°, calculate
  1. ∠QPR
  2. ∠QCB
  3. ∠RSC
5 m
Level 2
In the figure, AOB, COD, EOF and GOH are straight lines. Find ∠s + ∠k + ∠l + ∠m + ∠n + ∠p + ∠q + ∠r.
2 m
Level 2
In the figure, not drawn to scale, O and C are the centres of the circles. AC is a straight line. Find ∠z.
2 m
Level 2
The following figure is made up of straight lines. Find
  1. ∠z
  2. ∠y
2 m
Level 2
In the figure, what is the value of ∠t?
2 m
Level 2
The figure, not drawn to scale, shows a regular 5-point star and ∠a = ∠b = ∠c = ∠d = ∠e.
  1. Express ∠f as a sum of two angles. Give the answers in equation. (Eg ∠a + ∠b)
  2. lf ∠e = 32°, find ∠f.
2 m
Level 2
The figure shown is not drawn to scale. ABC is an isosceles triangle and XY is a straight line. Find ∠a.
2 m
Level 2
Given that ABCD is a trapezium. ABEG is a rhombus and GC is a straight line, find the values of
  1. ∠AFE
  2. ∠CBE
2 m
Level 3
The figure shows a rectangle ABCD. ∠BAC = 35° and ∠DAE = 36°. Find
  1. ∠CAE
  2. ∠AEC
3 m
Level 3
The figure shows a square ABEF and a rectangle BCDE. ∠CFE = 38°.
  1. Find ∠BHF.
  2. Find ∠AGC.
3 m
Level 3 PSLE
ABCD is a trapezium with AB parallel to DC. AFB and EFC are straight lines and AE = EB. ∠EBC = 94°.
  1. Find ∠AFD.
  2. Find ∠BFE.
3 m
Level 3
In the figure, not drawn to scale, ACDE is a parallelogram and ABF is an isosceles triangle. EFCB is a straight line. ∠CDE = 100°, ∠ACF = 54° and ∠CAB = 12°. Find ∠EAF.
3 m
Level 3
AB = BE and AB = BC. Given that ∠DAB is 28° and ∠ADE is 92°, find ∠EAD.
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, ABC is parallel to DEF and DC cuts ∠BDE equally. Given that ∠ABD = 50° and ∠BGC = 105°, find
  1. ∠p
  2. ∠q
3 m
Level 3
In the figure, O is the centre of the circle. Find the value of ∠a + ∠b + ∠c + ∠d.
3 m
Level 3
The figure shows a parallelogram. Find
  1. ∠x
  2. ∠y
  3. ∠z
3 m
Level 3
In the figure, ABDE, CBJI, CDFG, EFHI and CBJI are straight lines. Find the value of ∠w + ∠x + ∠y + ∠z.
3 m
Level 3
In the figure, PQST, PYWV, RQYX, XWUT and RSUV are straight lines. Find the value of ∠a + ∠b + ∠c + ∠d.
3 m