591 P6.SP.TL.18012294
Level 3
James started driving from Town A towards Town B at 13 40 at an average speed of 70 km/h. Melvin began driving from Town A towards Town B at 15 10 at an average speed of 100 km/h.
  1. At what time did Melvin pass James on the road?
  2. 125 hours after passing James, Melvin reached Town B. At what time did James reach Town B?
5 m
DST triangle Average speed Different speed Same starting point Different starting time Meeting point Overtaking Start end time
592 P6.SP.TL.18012295
Level 3
Ray left City B for City A at 07 30. Lindy left City B for City C at the same time. At 10 30, they were 480 km apart. Both maintained a constant speed and reached their destination at the same time at 12 00 h.
  1. Find the distance between Cities A and C.
  2. If Lindy's speed was 35 the speed of Fred, find Ray's speed.
5 m
DST triangle Average speed Same starting time Opposite direction Distance apart Direct ratio Common time Units method
593 P6.SP.TL.18012292
Level 3
City X and City Y are 420 km apart. At 3.45 p.m., Joni is travelling at a uniform speed left City X for City Y while Ben set off from City Y to City X along the same road at a uniform speed, which was 12 km/h slower than that of Joni. The two met at 6.45 p.m.
  1. Find the speed of Joni.
  2. If Ben continued to travel at the same speed, how long would it take for him to reach his destination after the two met? Express the answer in mixed number.
5 m
DST triangle Average speed Different speed Different starting point Same starting time Meeting point Distance apart Duration Common time More than or less than
594 P5.AP.NK.23041257
Level 3
The figure shows overlapping a rectangle. Find the area of the shaded part.
4 m
Rectange Triangle Composite figure area Overlapping area
595 P6.SP.TL.18012296
Level 3
Raju and Shian left Town A for Town B at the same time. When Raju reached Town B in 4 hours, Shian had only completed 38 of the distance between the two towns. Shian's speed was 30 km/h slower than Raju. What was Raju's speed?
5 m
DST triangle Average speed Same starting point Same starting time Direct ratio Common time Duration Fraction of a whole More than or less than
596 P4.AP.JM.17100283
Level 3
The diagram shows a rectangle RSUP, which is made up of square RSTQ and rectangle QTUP. Figure X, Y and Z are squares and the area of square Z is 1 m2. The area of square X is 23 of the shaded area in rectangle QTUP and QA = AT. Find the unshaded area of rectangle QTUP.
4 m
Square Rectangle Triangle Composite figure area Units method
597 P6.AP.JC.22040804
TRY FOR FREE
Level 3 PSLE
The figure is made up of three rectangles. A straight line drawn across the rectangles, divides the figure into two parts: shaded and unshaded.
  1. The perimeter of the shaed part is 8 cm longer than the perimeter of the unshaded part. What is the length of AB?
  2. What is the area of the shaded part?
4 m
Attempt
Rectangle Rectilinear figure Triangle Composite figure perimeter Composite figure area More than or less than Units & parts Elimination
598 P4.AP.NK.23050842
Level 3
Figure A is a rectangular piece of paper measuring 36 cm by 20 cm. James folded the paper along the dotted line to form Figure B. What is the area of the shaded part of the paper?
4 m
Rectangle Triangle Overlapping area Folded figure
599 P5.AN.JM.17083162
Level 3
In the figure, ABCD is a trapezium and ADEH is a rhombus. AD is parallel to BC and DE = DF. HDC and DGF are straight lines. ∠DAH = 38° and ∠GDH = 47°. Find
  1. ∠ADC
  2. ∠DFE
5 m
Isosceles triangle Rhombus Trapezium Angles on a straight line
600 P6.AN.NK.17052109
Level 3
Figure UWXYZ is not drawn to scale. Find ∠a.
5 m
Vertically opposite angles Angles sum of triangle Exterior angle of a triangle

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