Questions

241 P5.AN.JM.17083160

Level 2
The figure shows a rhombus EFGH. Given that ∠EGF = 57°, what is the value of ∠EHF?

2 m

Attempt

242 P2.AP.JM.17121921

Level 3
Tom had a piece of rope. After he had formed a triangle as shown, he had 15 cm of the rope left. How long was the piece of rope at first?

3 m

Attempt

Length Triangle

243 P5.AP.JM.17083199

Level 2
In the figure, ABCD is a rectangle. Find the area of the shaded part.

2 m

Attempt

Rectangle Triangle Composite figure area

244 P6.AP.TL.17090750

Level 2
The shaded figure is made up of 4 quarter arcs of radius 12 cm. Find its area. (Take π = 3.14)

2 m

Attempt

Right-angled triangle Circle area Quarter circle Composite figure area

245 P5.AN.JM.17083238

Level 2
The figure is made up of a rhombus ABCD and a trapezium BEFC. DCF is a straight line and ∠BDC = 41°. Find ∠p.

2 m

Video Attempt

Rhombus Trapezium Isosceles triangle Angles sum of triangle Corresponding angles

246 P5.AP.JM.17083202

Level 2
Figure A shows a rectangular sheet of paper. Nellie cut it into 22 identical triangles one of which is shown in Figure B. There was no paper left over. What was The area of the rectangular sheet of paper before it was cut?

2 m

Attempt

Rectangle Triangle Tiling Composite figure area

247 P5.AP.JM.17083221

Level 2
The figure is made up of 6 identical isosceles triangles. Find the area of the figure.

2 m

Attempt

Isosceles triangle Composite figure area

248 P5.AP.JM.17083198

Level 2
In the figure, ABCD is a rectangle. AE = EF = FG = GH = HB. What is the area of the shaded part?

2 m

Attempt

Rectangle Triangle Triangle common height Composite figure area

249 P5.AN.JM.17083147

Level 2
The figure is not drawn to scale. WXYZ is a parallelogram. Find ∠XYV.

2 m

Attempt

Parallelogram Angles sum of triangle Interior angles

250 P6.AP.TL.17090756

Level 2
The figure is formed using four identical isosceles triangles. AGD, AFB, BEC and CHD. ABCD is a square where E, F, G and H are midpoints of its sides. Given FJ = CJ, HK = BK and AD = 14 cm, find the total area of the shaded parts.

2 m

Attempt

Square Isosceles triangle Composite figure area Cut & paste

251 P5.AN.JM.17083175

Level 2
In the figure, JKLM is a trapezium, KMN is a straight line, KL = ML, ∠KLM = 106° and ∠JMN = 75°. Find ∠KJM.

2 m

Video Attempt

Isosceles triangle Trapezium Angles on a straight line Angles sum of triangle Alternate angles

252 P5.AP.JM.17083238

Level 2
The figure is made up of two identical rectangles ABCD and BCEF. The area of Triangle ACE is ¹₂ the area of Rectangle ______.

2 m

Attempt

Rectangle Triangle Cut & paste Fraction of a whole

253 P6.AP.TL.17090757

Level 2
The figure is formed by a circle and an isosceles triangle where PQ = PR. The radius of the circle is 14 cm. Find the area of the shaded part. (Take π = ²²₇)

2 m

Attempt

Isosceles triangle Right-angled triangle Circle Semicircle Composite figure area Cut & paste

254 P5.AN.JM.17083180

Level 2
Given the figure, find

∠x
∠y

2 m

Attempt

Angles sum of triangle Alternate angles Interior angles

255 P5.AN.JM.17083145

Level 2
In the figure. ABDE is a parallelogram and ∠CDE = 106°. Find ∠ABC.

2 m

Attempt

Equilateral triangle Parallelogram Angles at a point Interior angles

256 P5.AN.JM.17083244

Level 2
Given the figure shown, find

∠x
∠y

2 m

Video Attempt

Right angle Angles sum of triangle Alternate angles Interior angles

257 P5.AN.JM.17083184

Level 2
Given that ABCD is a trapezium. ABEG is a rhombus and GC is a straight line, find the values of

∠AFE
∠CBE

2 m

Video Attempt

Rhombus Trapezium Exterior angle of a triangle Interior angles

258 P5.AN.JM.17083205

Level 2
The figure shows a parallelogram WXVZ and an isosceles triangle UZV. WZV and UZV are straight lines. Given that ∠XYZ = 118°, what is the value of ∠ZUV?