Questions

From Worst to Best

371 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

∠z
∠x + ∠y
∠y

3 m

Attempt

372 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

Attempt

Rectangle Triangle Triangle common base Ratio to units

373 P5.AP.JM.17083161

Level 2
Find the total area of the unshaded parts of the figure.

3 m

Attempt

Rectangle Triangle Triangle common base

374 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

Attempt

Square Triangle Tiling Fraction of a whole F Simplest form

375 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

Attempt

Isosceles triangle Parallelogram Interior angles

376 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

Attempt

Triangle Triangle common base Triangle common height

377 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

∠a
∠b.

3 m

Attempt

Isosceles triangle Angles sum of triangle Interior angles

378 P6.PA.JC.21030801

TRY FOR FREE

Level 3
The figure is made up for triangles drawn up to Layer 3.

How many triangles will there be if it is drawn up to Layer 7?
If there is a total of 60 triangles, how many layers are there in the figure?

4 m

Attempt

Times sum of consecutive Triangle

379 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.