421 P6.AN.NK.17050205
Level 3
In the figure, ABCD is a parallelogram and C is the centre of the circle. Find ∠BCE.
3 m
Isosceles triangle Parallelogram Angles sum of triangle Interior angles Angle properties within a circle
422 P5.AP.JM.17083224
Level 3
In the figure, PQRS is a rectangle where TS is a straight line. Find the areas of the shaded Triangle A and Triangle B.
3 m
Rectangle Triangle Composite figure area
423 P5.AP.JM.17083232
Level 3
The figure (not drawn to scale) is made up of 2 squares and a triangle. The areas of the 2 squares are shown. What is the area of the triangle?
3 m
Square Triangle Composite figure area
424 P6.AN.NK.21060910
Level 3 PSLE
The figure is formed by five straight lines AC, AD, BD, BE and CE.
  1. Find ∠y.
  2. Find ∠z.
3 m
Angles on a straight line Vertically opposite angles Angles sum of triangle Sum of angles in a star
425 P6.AN.NK.17052103
Level 3
In the figure, ABDE, CBJI, CDFG, EFHI and CBJI are straight lines. Find the value of ∠w + ∠x + ∠y + ∠z.
3 m
Angles sum of triangle Exterior angle of a triangle Sum of angles in a star
426 P5.AP.JM.17083227
Level 3
The figure shows a square (A and B) and a triangle (B and C). Find the difference between the area of A and that of C.
3 m
Square Triangle Composite figure area
427 P5.AN.NK.23041252
Level 3
A rectangular piece of paper is folded to form the diagram.
  1. Find ∠a.
  2. Find ∠b.
3 m
Rectangle Triangle Right angle Angles on a straight line Overlapping angles Folded figure
428 P5.AP.JM.17083228
Level 3
The figure shows a rectangle and 3 triangles B, C and D. EF is a straight line. Given that the total area of Triangle B and Triangle C is 70 cm2, find the sum of the areas of A and D.
3 m
Rectangle Triangle Composite figure area
429 P5.AN.NK.23041254
Level 3
ABCD is a rectangular piece of paper. Corners C and D are folded upwards as shown. ∠CFG = 23° and ∠DFE = 16 °
  1. Find ∠CGF
  2. Find ∠DFC
3 m
Rectangle Triangle Right angle Angles on a straight line Overlapping angles Folded figure
430 P6.AP.TL.17090805
Level 3
The figure is made up of a right-angled isosceles triangle XYZ and a semicircle. XY = YZ and the diameter of the semicircle is 28 cm. Find the area of the shaded part of the figure.
3 m
Isosceles triangle Right-angled triangle Semicircle Composite figure area Cut & paste
431 P5.AP.JM.17083197
Level 3
In the figure, ABCD is a square of area 81 cm2. The length of AB is 3 times The length of BE. What is the area of Triangle ABE?
3 m
Square Composite figure area Times as many
432 P5.AP.JM.17083223
Level 3
In the figure. ABCD is a square of side 23 cm. Find the total area of the shaded parts.
3 m
Square Triangle common base Composite figure area
433 P6.SP.TL.18012286
Level 3
A car uses 9 litres of petrol for every 50 km it travels at an average driving speed is 80 km/h. It uses 6 litres of petrol for every 70 km it travels when it average driving speed is 60 km/h. How much petrol will the car consume use for a journey which lasts 12 h if it travels at 80 km/h for 5 h and 60 km/h for the rest of the journey?
4 m
Rate of 1 object DST triangle Journey by parts Unit conversion Duration Volume Units method
434 P5.AP.JM.17083229
Level 3
Find the area of the figure given that the area of the shaded part is 52 cm2 and The length of BC is twice that of AB.
3 m
Triangle Composite figure area Times as many
435 P5.AN.JM.17083258
Level 3
In the figure, O is the centre of the circle. ∠ABD is 90°. Find ∠x.
3 m
Right angle Angles sum of triangle Isosceles triangle Angle properties within a circle
436 P5.AP.JM.17083236
Level 3
The figure is not drawn to scale. ABCD is a rectangle. Triangles AOD and BOC are identical. The area of Triangle COD is 63.14 cm2. The ratio of the area of Triangle AOB to The area of Triangle COD is 3 : 7. Find the area of Triangle AOD.
3 m
Rectangle Triangle Composite figure area Ratio to units Units method
437 P5.AN.JM.17083260
Level 3
In the figure, O is the centre of the circle and OABC is a rhombus. Find the value of ∠a + ∠b + ∠c + ∠d.
3 m
Rhombus Angles sum of triangle Angles at a point Interior angles Angle properties within a circle
438 P5.AN.JM.17083263
Level 3
In the figure, PQST, PYWV, RQYX, XWUT and RSUV are straight lines. Find the value of ∠a + ∠b + ∠c + ∠d.
3 m
Exterior angle of a triangle Sum of angles in a star
439 P6.AP.TL.17090776
Level 3
Figure 1 shows a rectangle EFGH. It is folded along EG to form Figure 2. The area of Figure 2 is 58 of the area of Figure 1. The area of the shaded part in Figure 2 is 36 cm2. Find the area of rectangle EFGH.
3 m
Rectangle Triangle Overlapping area Folded figure Fraction to units Units method
440 P6.AP.TL.17090811
Level 3
In the figure, not drawn to scale, XYZ is a right-angled triangle. XY is 12 cm, YZ is 16 cm. Find the area of the shaded parts. (Take π = 3.14 )
3 m
Right-angled triangle Circle area Semicircle Composite figure area Overlapping area

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