361 P5.AN.JM.17083126
Level 3
The figure shows two isosceles triangle ABC and ABD. Given that ∠ADB = 50° and ∠ACB = 84°, what is the value of ∠DAC?
3 m
Isosceles triangle
362 P6.AN.NK.21060932
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
Angles sum of triangle Trapezium Exterior angle of a triangle Alternate angles
363 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
364 P4.AP.NK.23050809
Level 3
Laura had 1 m of wire. She gave 0.64 m of the wire to Trevor and the remaining wire to Kathy. Trevor used the wire he received to form a square with no leftover. Kathy used the wire she received to form a triangle of equal sides, with no leftover. What was the difference in length between one side of the square and one side of the triangle?
3 m
Length Square Triangle More than or less than
365 P6.AN.NK.17051717
Level 3
In the figure, ABE and DBC are right-angled triangles. EB is parallel to DC. Find
  1. ∠BCD
  2. ∠BED
3 m
Right-angled triangle Angles sum of triangle Angles at a point Alternate angles
366 P5.AP.JM.17083153
Level 2
The figure shows a piece of square paper with two of the corners folded. Triangle A and Triangle B are identical and Triangle XYZ is an equilateral triangle. Find the area of the shaded part.
3 m
Square Equilateral triangle Folded figure
367 P4.AP.JM.17100166
Level 3
The area of the shaded part in the rectangle is 40 cm2. Find the perimeter of the rectangle.
3 m
Rectangle Triangle
368 P6.AN.NK.17051755
Level 3
In the figure, not drawn to scale, HIJ is equilateral triangle, HIJK and LMNP are identical rhombuses. Given that HI is parallel to PN, ∠MRS = 12° find ∠KRS.
3 m
Equilateral triangle Rhombus Angles sum of triangle Corresponding angles
369 P5.AP.JM.17083165
Level 3
PQRS is a square of area 64 cm2. X and Y are midpoints of PQ and PS respectively. Find the area of the shaded triangle.
3 m
Square Triangle common base
370 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

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