Level 3
In the figure, ABCD is a trapezium. AZB is an isosceles triangle with AZ = BZ. AY and BX are straight lines. Find ∠DAZ.
3 m
Level 3
The figure is not drawn to scale. VWXY is a parallelogram. WZ and XZ are straight lines. UX = UW, ∠UWX = 57° and ∠UWV = 41°. Find the difference between ∠a and ∠b.
3 m
Level 3
In the figure, not drawn to scale, QSTU and PRUV are rhombuses. Given that ∠TSR = 116° and ∠QPV = 124°, find
  1. ∠PVR
  2. ∠RWQ.
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 3 PSLE
In the figure, EFGH is a trapezium. P is a point on EH such that PG = GH. ∠EFG = 62° and ∠FEP = 110°. Find LPGF.
3 m
Level 2
The figure shows a parallelogram ABCD. ∠ABD = 34° and ∠ADB = 26°. Find ∠BCD.
3 m
Level 3
The figure is not drawn to scale. ACDE is a trapezium and AC//ED. Given that AE = AB, ∠EAB = 76° and ∠ACD = 100°.
  1. Find ∠CDE.
  2. Find ∠ABE.
  3. Find ∠BED.
3 m
Level 2
In the figure, ACD and BCEF are straight lines. ∠CDE = 77° and ∠DEF = 138°. Find ∠ACB.
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?
3 m
Level 2
In the figure, HIK and MLlJ are straight lines. ∠HML = 47°, ∠MHL = 45°, ∠IJK = 36° and ∠IKJ = 113°. Find
  1. ∠HLI.
  2. ∠LHI.
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
  1. ∠x
  2. ∠y.
3 m
Level 2
The figure is made up of 5 identical equilateral triangles each of side 6 cm. Find the perimeter of the figure.
3 m
Level 3
The figure is formed by a circle and an isosceles triangle XYZ. The diameter of the circle is 56 cm. Find the difference in area between the two shaded parts. (Take π = 227)
3 m
Level 3
Given that ∠a = ∠b = 60°, ∠c = 110°, ∠d = 100° and ∠e = 20°, find ∠x.
3 m
Level 3
In the figure, not drawn to scale, shows a rhombus and a rectangle lined up between two poles. Find ∠z.
3 m
Level 2
Each of the figure is made up of four identical right-angled triangles. The shortest side of each triangle is 5 cm. The perimeter of each triangle is 21 cm. Find the perimeter of
  1. Figure 1
  2. Figure 2
3 m
Level 3
In the figure, ABCD is a square of area 81 cm2. What is the perimeter of the figure?
3 m
Level 2
Figure X is made up of nine similar equilateral triangles. Three triangles were removed from Figure X and the remaining triangles were rearranged to form Figure Y. The perimeter of Figure X is 270 cm. What is the perimeter of Figure Y?
3 m
Level 3 PSLE
In the figure, WXYZ is a parallelogram and YZRS is a rhombus. ∠XYS = 90° and ∠YSZ = 24°. Find ∠WXY.
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