261 P6.AP.NK.21060431
Level 3 PSLE
Figure ABCDE has an area of 42 cm2. ABD and CBE are straight lines. Find the area of the shaded triangle BDE.
2 m
Triangle Composite figure area Overlapping area
262 P6.AG.JC.15051409
Level 2 PSLE
Jasmine had a piece of ribbon 17p cm long. She formed a triangle, with sides measuring p cm, 5p cm and 30 cm, with part of the wire.
  1. Express the length of the remaining ribbon in terms of p in the simplest form.
  2. Jasmine used the remaining ribbon to form a rectangle of length 3p cm. If p = 8, what was the breadth of the rectangle?
3 m
Algebra in 1 variable Algebra simplifying Algebra substitution Length Area perimeter Rectangle
263 P5.AP.JM.17083138
Level 2
Find the area of the following figure which is made up of 8 identical triangles where O is the centre of the figure.
2 m
Triangle
264 P6.SP.TL.18012224
Level 2
A van covers a distance of 45 km in 25 minutes.
  1. At what speed is it travelling?
  2. How long will it take to cover a distance of 36 km?
3 m
DST triangle Average speed Unit conversion Duration
265 P6.AP.NK.21060432
Level 3 PSLE
In the figure, ABC and XZY are identical right-angled triangles. The total area of the shaded parts is 96 cm2. Find the area of the unshaded part.
2 m
Right-angled triangle Composite figure area Overlapping area
266 P6.AP.JC.22050403
Level 3
In the figure, ABC and ADE are right-angled isosceles triangles. BD = CE = 2 cm. The shaded area is 22 cm2. Find the length of AC.
2 m
Length Isosceles triangle Right-angled triangle Overlapping area
267 P5.AP.NK.23041223
Level 2
The figure is made up of three triangles, ABC, XYZ and DEF not drawn to scale. The area of triangle XYZ is six times the area of triangle ABC. The area of triangle ABC is 13 of triangle DEF. The area of triangle ABC is 12 cm2. What is the total area of the shaded parts?
2 m
Triangle Composite figure area Overlapping area Fraction to units Repeated identity Units method
268 P6.AP.TL.17090785
Level 3
Two identical right-angled triangles overlap each other as shown. Find the area of the shaded part.
2 m
Rectangle Right-angled triangle Overlapping area
269 P5.AN.JM.17083250
Level 2
ABCD and EFGC are different squares. Given that ∠EHC = 70°, find ∠ACE.
2 m
Right angle Square Angles sum of triangle Overlapping angles
270 P6.AP.TL.17090758
Level 2
X, Y and Z are centres of three identical circles. The length of XY is 7.2 m. XY, YZ and XZ are equal in length. Find the shaded area of the figure. (Take π = 3.14) Correct to 2 decimal places.
2 m
Triangle Circle Composite figure area Overlapping area D Place values D Round off
271 P4.FR.JM.17101641
Level 2
Figure PQRS is a square. It is made up of 1 small square, 2 small triangles and 3 large triangles. PR and OS are straight lines. What fraction of the square PQRS is shaded?
3 m
Fraction of a whole Cut & paste Area Perimeter Square Triangle
272 P6.SP.TL.18012210
Level 3
Sam took 2 hours to walk from Building A to Building B which was 6 km away. On his way back from Building B to Building A, he increased his average walking speed by 1 km/h. How long did he take for his journey back?
3 m
DST triangle Average speed Journey by parts Different speed Duration More than or less than
273 P6.SP.TL.18012232
Level 3
Jake walks to school at an average speed of 4 km/h every day. One day, after walking a distance of 1 km, he realised that his watch was slow. So, he ran at a constant speed and managed to reach his school just on time. Later, he calculated that if he had run at this speed right from the start of the journey, he would have reached his school 5 minutes earlier. What was his running speed?
3 m
DST triangle Average speed Different speed Unit conversion Duration
274 P5.AN.NK.23041253
Level 3
Ben folded a rectangular piece of paper ABCD along its diagonal AC. Find ∠ACD.
2 m
Rectangle Triangle Right angle Angles on a straight line Overlapping angles Folded figure
275 P6.SP.TL.18012233
Level 3 PSLE
Peter and Justin ran in a race around a 400 m track. Peter ran at a speed of 190 m/min and Justin at a speed that was 25 m/min slower than Peter throughout the race. How many complete rounds would Peter have finished when he had run a distance of 300 m more than Justin?
3 m
DST triangle Different speed Duration More than or less than
276 P5.AN.JM.17083251
Level 2
The figure consists of 3 identical triangle. XY is a straight line. What is the sum of ∠a, ∠b, ∠c, ∠d, ∠e and ∠f?
2 m
Triangle Sum of angles in a quadrilateral
277 P5.RD.JC.17083120
Level 3
The figure is not drawn to scale. The ratio of the area of the rectangle to the area of the circle to the area of the triangle is 21 : 17 : 4. If 14 of the triangle and 37 of the rectangle are shaded, what is the ratio of the total shaded area to the total of the unshaded area? Leave your answer in the simplest form.
4 m
Fraction of a whole Finding ratio R Simplest form Area perimeter Overlapping area Repeated identity Units method
278 P6.SP.TL.18012234
Level 3
Ryan drove at an average speed of 70 km/h for the first 2 hours of the journey. He then increased his average speed by 15 km/h and drove for another 3 hours until he reached his town. Find his average speed for the whole journey.
3 m
DST triangle Average speed Different speed
279 P5.AN.JM.17083127
Level 2
In the figure, ∠BAE = 45° and ∠BED = 130°. Find ∠CBE.
2 m
Angles sum of triangle Sum of angles in a quadrilateral
280 P6.SP.TL.18012235
Level 3
Jesse left home at 6.15 a.m. and drove towards the mountain which was 802 km away. For the first 210 km, she was travelling at 70 km/h. Then she increased her speed by 4 km/h and completed the remaining journey.
  1. How long did she take for her whole journey?
  2. At what time did she reach the mountain?
3 m
DST triangle Average speed Journey by parts Different speed Start end time

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