241 P6.AN.NK.17051754
Level 3
In the figure, not drawn to scale, PQRS is a square. RLN, SLQ and RMN are straight lines. Find the value of ∠PMN.
4 m
Right angle Square Vertically opposite angles Angles sum of triangle
242 P6.AN.NK.17051701
Level 3
The figure is not drawn to scale. Triangle ABZ is an isosceles triangle. Triangle XYZ is an equilateral triangle. ∠BZA is 15 of ∠YXZ and ∠YZB = ∠XZA.
  1. Find ∠YZB.
  2. Find ∠XAZ.
4 m
Equilateral triangle Isosceles triangle Angles sum of triangle Fraction of a whole
243 P6.AN.NK.17081805
Level 3 PSLE
In the diagram, XLP and YMN are equilateral triangles. WXYZ is a straight line. ∠ZYN = 62° and ∠WXL = 92°. Find ∠a.
4 m
Equilateral triangle Angles on a straight line Vertically opposite angles Angles sum of triangle
244 P6.AN.NK.17051731
Level 3
The figure, not drawn to scale, is made up of an isosceles triangle and a rhombus. ∠c = ∠b, ∠a is twice ∠d, ∠b is twice ∠e and ∠c is less than ∠e by 51°.
  1. Find ∠c.
  2. Find the difference between ∠a and ∠c.
4 m
Isosceles triangle Rhombus Angles sum of triangle More than or less than Times as many Units
245 P6.AP.NK.21060410
Level 3 PSLE
In the figure, ABCD is a rectangle and AED is a right-angled triangle with sides measuring 30 cm, 40 cm and 50 cm. The perimeter of the shaded part is 176 cm. What is the ratio of the area of the triangle to the area of the shaded part? Give your answer in the simplest form.
4 m
Rectangle Right-angled triangle Finding ratio R Simplest form

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