Questions

241 P6.PA.JC.17111305

Level 3
Some patterns of shaded and unshaded small triangles is given. The unshaded triangles are those which have at least one side on the edge of the big triangle. All of the other small triangles are shaded. The table below shows numbers of small triangles.

Find the total number of triangles in Pattern 80.
Find the number of shaded triangles in Pattern 40.
Find the number of unshaded triangles in Pattern 50.

3 m

Attempt

242 P5.AP.NK.23022714

Level 3
In the figure, ABCD and PRSD are two identical rectangles. Find the shaded area of the figure.

2 m

Attempt

Rectangle Triangle Composite figure area

243 P5.AP.JM.17083219

Level 2
In the figure, ABCD is a rectangle with an area of 912 cm². Given that the area of Triangle DEF is 358 cm², Find the area of Triangle BFC.

2 m

Attempt

Rectangle Triangle Composite figure area

244 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

Rhombus Angles sum of triangle Alternate angles

245 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

246 P6.AN.NK.17052105

Level 2
The figure, not drawn to scale, shows a regular 5-point star and ∠a = ∠b = ∠c = ∠d = ∠e.

Express ∠f as a sum of two angles. Give the answers in equation. (Eg ∠a + ∠b)
lf ∠e = 32°, find ∠f.

2 m

Attempt

Angles sum of triangle in a star Exterior angle of a triangle

247 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

248 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

249 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

250 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

251 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

252 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

253 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

254 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

255 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

256 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

257 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)