Level 1
The figure shows an isosceles triangle XYZ. Given ∠XZY = 61°, find ∠XYZ.
1 m
Level 1
In the figure, AOB is a straight line and CO is perpendicular to OD. ∠DOE = 12 ° and ∠EOF = 148 °. Find ∠COF.
1 m
Level 1
The figure is made up of straight lines. Find the unknown ∠y.
1 m
Level 3
In the figure, ACDF is a parallelogram, BCDE is a rhombus and BED is an equilateral triangle.
  1. Find ∠CDB.
  2. Given that AF = AE and ∠BAK = 50°. Find ∠EAK.
5 m
Level 3
In the figure, JKL is parallel to XYZ and the line XL cuts ∠KXZ into half. Given that LX and KY are straight lines, ∠JKX = 45°, ∠XYN = 42.5° and ∠KNL = 115°, find
  1. ∠a
  2. ∠c
  3. ∠b
5 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 1
ABCD is a parallelogram and CDE is an isosceles triangle. Find ∠ADC.
1 m
Level 1
The figure shows an 8-point compass. After turning 225° clockwise, Janelle was facing Northeast (NE). Which direction was she facing at first? Give the answer in letter. (Eg N)
1 m
Level 1
If Robert makes a 135° anti-clockwise turn, he will face South West. Where will Robert face is he makes a 270° clockwise turn from his original position? Give the answer in letter. (Eg N)
1 m
Level 2
How many right angles has the minute hand of a clock moved from 3.00 p.m. to 4.15 p.m.?
2 m