171 P6.AN.NK.17051750
Level 3
The figure is not drawn to scale. It shows a parallelogram TUVW and an isosceles triangle QTW next to it. ∠SWQ = 11°. SR and QP are straight lines. Find
  1. ∠z
  2. ∠x + ∠y
  3. ∠y
3 m
Isosceles triangle Parallelogram Angles on a straight line Angles sum of triangle Corresponding angles
172 P6.AP.JC.22051401
Level 2 PSLE
The figure shows a right-angled triangle, ABC, drawn on a grid.
  1. ABD is a right-angled triangle with the same area as triangle ABC. Identify point D on the grid.
  2. ADE is an equilateral triangle. Identify point E on the grid such that it does not overlap with triangle ABC.
  3. Find the ratio of the area of triangle ABC to the area of triangle ADE.
3 m
Equilateral triangle Isosceles triangle Right-angled triangle Grid dots Equal stage Finding ratio
173 P6.AN.NK.17051718
Level 3
In the figure, ABCD is a parallelogram. AC = CE = CF. AF and CE are straight lines. ∠AEC = 73° and ∠AFC = 34°. Find ∠ABC.
3 m
Isosceles triangle Parallelogram Interior angles
174 P6.AN.NK.17051739
Level 3
The figure is not drawn to scale. KL//NM and ML//PK. Triangles KPL and LMN are isosceles triangles. Find
  1. ∠a
  2. ∠b.
3 m
Isosceles triangle Angles sum of triangle Interior angles
175 P6.AP.TL.17090772
Level 3
The figure is made up of 16 square tiles. What fraction of the figure is shaded? Give the answer in the simplest form.
3 m
Square Triangle Tiling Fraction of a whole F Simplest form
176 P6.AN.NK.17051737
Level 3
The figure is not drawn to scale. It has three parallel lines and two isosceles triangles. ∠x and ∠y are in the ratio of 3 : 5 respectively. Find ∠x + ∠y + ∠z.
3 m
Isosceles triangle Angles on a straight line Interior angles Ratio to units Units method
177 P6.AN.NK.17051719
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
Isosceles triangle Trapezium Angles on a straight line Interior angles
178 P6.AN.NK.17051724
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
Isosceles triangle Parallelogram Angles sum of triangle Interior angles
179 P6.AN.NK.17051729
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
Isosceles triangle Rhombus Angles sum of triangle Interior angles
180 P6.PA.JC.21030801
TRY FOR FREE
Level 3
The figure is made up for triangles drawn up to Layer 3.
  1. How many triangles will there be if it is drawn up to Layer 7?
  2. If there is a total of 60 triangles, how many layers are there in the figure?
4 m
Attempt
Times sum of consecutive Triangle

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