361 P6.AN.NK.21060913
Level 3 PSLE
The figure is made up of 3 squares. Find ∠a.
3 m
Square Angles on a straight line Angles sum of triangle Exterior angles of a triangle
362 P6.AG.JC.17080471
Level 3
The perimeter of triangle A is equal to that of rectangle B.
  1. Find the length of rectangle B in terms of k.
  2. If k = 3, find the area of rectangle B.
4 m
Algebra in 1 variable Algebra simplifying Algebra substitution Length Area Perimeter Triangle Equal stage
363 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
364 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
365 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
366 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
367 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
368 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
369 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
370 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
371 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
372 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
373 P5.AP.JM.17083167
Level 3
The figure is made up of Rectangle ABCD. AFE is a straight line and EC = AG. The ratio of BE to BC is 5 : 8. Find the shaded area.
3 m
Rectangle Triangle Triangle common base Ratio to units
374 P5.AP.JM.17083161
Level 2
Find the total area of the unshaded parts of the figure.
3 m
Rectangle Triangle Triangle common base
375 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
376 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
377 P5.AP.NK.23012631
Level 2
In the figure, AB and CD are parallel lines. The area of Triangle BCD is 24 cm2. The area of Triangle CED is 15 cm2. Find the area of the shaded triangle.
3 m
Triangle Triangle common base Triangle common height
378 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
379 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
380 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

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