321 P6.AN.NK.17081612
Level 2 PSLE
In the figure, LMNP is a rectangle and PON is a straight line. ∠LPM = 28° and ∠MON = 80° , find ∠PMO.
2 m
Rectangle Angles on a straight line Angles sum of triangle
322 P6.SP.TL.18012258
Level 3
City A and City B is 760 km apart. At 09 00, Sunny, travelling at a constant speed, left City A for City B. At the same time, Ron set off from City B for City A at a constant speed which was 9 km/h faster than Sunny. Find Ron's speed if they met at 17 00.
3 m
DST triangle Average speed Different starting point Same starting time Meeting point Common time More than or less than
323 P6.AN.NK.17051710
Level 3
In the figure that is not drawn to scale, ABC is a straight line and BDE is an isosceles triangle. Find ∠x.
3 m
Isosceles triangle Angles on a straight line Angles sum of triangle
324 P6.SP.TL.18012261
Level 3
Ron jogged while Bella walked from the same place but in opposite directions along a straight road. After 5 hours, they were 30 km apart. Ron's average speed was 1.2 km/h faster than Bella's average speed. What was Bella's average walking speed in km/h? Express the answer in decimal.
3 m
DST triangle Average speed Same starting point Same starting time Opposite direction Distance apart Common time More than or less than
325 P3.AP.JM.17102372
Level 3
The figure is made up of a triangle and a square. The perimeter of the triangle is 16 m. Find the perimeter of the figure.
3 m
Square Triangle Composite figure perimeter
326 P6.AN.NK.17051715
Level 3
In the figure, ABCD is a parallelogram and CEF is an isosceles triangle. BEDF is a straight line. ∠BAD = 100°, ∠CDE = 56° and ∠DCF = 14°. Find ∠BCE.
3 m
Isosceles triangle Parallelogram Angles on a straight line Angles sum of triangle
327 P6.SP.TL.18012256
Level 3
Allan and Maine were in a roller skating race. Allan was travelling at a constant speed of 20 km/h and they both did not change their speed. When Maine completed half of her race, Allan was 3.5 km ahead. Allan completed the race at 10.45 a.m. What time did Maine complete the race?
3 m
DST triangle Same starting point Same starting time Distance apart Common time Unit conversion Start end time Timeline Fraction of a whole
328 P6.AN.NK.17081801
Level 3 PSLE
In the figure, QRST is a square and QPT is an equilateral triangle. Given that USV is 12°, find ∠QSU.
3 m
Right angle Square Equilateral triangle Isosceles triangle Angles sum of triangle
329 P6.SP.JC.21061116
Level 3 PSLE
Peter and John started jogging at the same time along the route shown. Both did not change their speed throughout. After 45 min, Peter was at the halfway point and John was 450 m behind. Peter reached the end point 4 min before John. What was the distance of the route? Express the answer in m.
3 m
DST Triangle Average speed Different speed Same starting point Same starting time Distance apart Common time
330 P5.PA.NK.23053003
Level 3
The following is made up of identical triangles. Study the pattern carefully.
  1. Complete the table for Figure 4.
  2. A figure number in the pattern has a total of 144 triangles. What is the figure number?
4 m
Square Numbers Sum of consecutive Triangle
331 P6.AN.NK.17052303
Level 3
In the figure, not drawn to scale, JKLM is a square. PKL is an equilateral triangle. What is ∠PQN?
3 m
Right angle Square Equilateral triangle Vertically opposite angles Angles sum of triangle
332 P6.SP.TL.18012255
Level 3
Fay cycled from View Hill at 09 56 toward Sand Garden while Joy cycled from Sand Garden toward View Hill at the same time. At 10 06, the two cyclists passed each other. 7 minutes later, Fay reached Sand Garden but Joy was 1155 m from View Hill.
  1. At what speed were the two cyclists approaching each other?
  2. Find the distance between Sand Garden and View Hill Park in km.
3 m
DST triangle Average speed Different starting point Same starting time Meeting point Distance apart Common time Unit conversion
333 P4.AN.JM.17092862
Level 3
The figure shows a rectangle ABCD. ∠BAC = 35° and ∠DAE = 36°. Find
  1. ∠CAE
  2. ∠AEC
3 m
Right angle Rectangle Exterior angle of a triangle
334 P6.AN.NK.17081613
Level 2 PSLE
In the figure, PTR and STQ are straight lines. PQ = QR = RS. ∠PTS = 110° and ∠QPR = 30°. Find ∠PRS.
3 m
Isosceles triangle Angles on a straight line Vertically opposite angles Angles sum of triangle
335 P5.AP.JM.17083230
Level 3
The figure shows a rectangle in a square. The square is of side 15 cm. What is the area of the rectangle?
3 m
Square Rectangle Triangle
336 P6.SP.TL.18012254
Level 3
A black bus left Town A for Town B at the same time when a white bus left Town B to Town A. The average speed of the black bus and the white bus were 56 km/h and 72 km/h respectively. The two buses passed each other at a point 24 km from the midway of the two towns. How far apart are these two towns?
3 m
DST triangle Different speed Different starting point Same starting time Meeting point Common time
337 P4.AN.JM.17092850
Level 3
The figure shows a square ABEF and a rectangle BCDE. ∠CFE = 38°.
  1. Find ∠BHF.
  2. Find ∠AGC.
3 m
Square Rectangle Vertically opposite angles Angles sum of triangle Exterior angle of a triangle
338 P5.RA.JC.17083299
Level 3
The area of the triangle to the area of the rectangle in the figure is in the ratio 3 : 2. After the shaded rectangle of length 8 cm is removed from the figure, the ratio of the remaining area of the triangle to the remaining area of the rectangle is 5 : 3. Given that the area of the triangle is 32 cm2 more than the area of the rectangle, find the width of the shaded rectangle that is being removed.
4 m
Ratio to units Area Perimeter More than or less than Unchanged difference Units table
339 P6.SP.TL.18012239
Level 3 PSLE
Esther and Margi took part in a cycling race. Esther cycled at a speed of 20 km/h. Both of them did not change their speed throughout the race. When Margi covered 12 the distance, Esther was 3.5 km in front of her. Esther reached the finishing line at 10.45 a.m. What time did Margi reach the finishing line?
3 m
DST triangle Different speed Same starting point Same starting time Common time Unit conversion Duration Timeline
340 P6.AN.NK.21060921
Level 3 PSLE
In the figure, RXYZ is a parallelogram. PZR and QZY are straight lines and PQ = QR. ∠PQZ = 28° and ∠XYZ = 52°.
  1. Find ∠YZR.
  2. Find ∠ZQR.
3 m
Isosceles triangle Parallelogram Vertically opposite angles Angles sum of triangle

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