461 P6.SP.TL.18012272
Level 3
Uncle Lim travelled from City A to City B which was 560 km away. For the first 480 km of the journey, he travelled at a speed of 80 km/h. He then reduced his speed by 40 km/h and completed the rest of the journey. What was his average speed for the whole journey?
4 m
DST triangle Average speed Journey by parts Different speed Duration More than or less than
462 P6.SP.TL.18012273
Level 3
At 9.45 a.m., Mark started driving from Town X to Town Y which was 440 km away. For the first 220 km, he travelled at an average speed of 80 km/h. He then decreased his speed by 20 km/h and completed the remaining journey.
  1. Find the total time taken for the whole journey. Express the answer in mixed number.
  2. At what time did she reach Town Y?
4 m
DST triangle Average speed Journey by parts Different speed Duration Start end time More than or less than
463 P6.SP.TL.18012274
Level 3
A car was on its way from Town X to Town Y. After covering 25 of its journey, it passed a van which was travelling at an average speed of 70 km/h. 5 hours later, the car reached its destination, but the van was still 28 km from Town Y. If the car had also started from Town X, how long would it take to travel from Town X to Town Y? Express the answer in mixed number.
4 m
DST triangle Average speed Different speed Same starting point Duration Fraction of a whole
464 P4.AN.JM.17092863
Level 3
The figure shows a square PQRS. SQUV is a rectangle. ∠SUV = 21°
  1. Name the line that is parallel with SQ.
  2. Find ∠RST.
  3. Find ∠QTS.
4 m
Square Rectangle Exterior angle of a triangle Alternate angles
465 P6.SP.TL.18012276
Level 3
At 10 30 , Aaron left Town A for Town B, driving at a speed of 75 km/h. At 11 30 , Tom also left Town A for Town B driving at a certain speed. Both of them did not change their speed throughout the journey. At 14 30, both of them passed a shopping mall that was 150 km away from Town B. How many minutes earlier did Tom reach Town B than Aaron?
4 m
DST triangle Average speed Same starting point Different starting time Duration More than or less than
466 P4.AN.JM.17092866
Level 3
The figure shows a rectangle ABCD. ∠BAC = 42° and ∠DAE = 72°.
  1. Name a line perpendicular to AD. Name a line perpendicular to $(A)$(D). Give your answer in letter. (Eg AB)
  2. Find ∠CAE.
  3. Find ∠ACE.
4 m
Rectangle Angles sum of triangle Overlapping angles
467 P4.AN.JM.17092861
Level 3
The figure shows 2 squares JKLM and NJPQ. ∠LJN = 114°.
  1. Name the line that is parallel with JP.
  2. Find ∠RJP.
  3. Find ∠JRQ.
4 m
Square Exterior angle of a triangle Overlapping angles
468 P6.AP.TL.17090777
Level 3
Three planks of different lengths, X,Y and Z are nailed together to make a frame as shown. Plank X has 3 holes which divide it into 4 equal parts. Plank Y has 4 holes which divide it into 5 equal parts and Plank Z has 5 holes which divide it into 6 equal parts. In the frame, the holes A, B and C are three corners of an equilateral triangle. Plank X is 120 cm long. What is the total length of Plank X, Plank Y and Plank Z?
3 m
Length Equilateral triangle Intervals
469 P4.AN.JM.17092858
Level 3
The figure shows 2 squares ABCD and CEGF, and a rectangle HIJC. ∠DCF = 34° and ∠ECJ = 40°.
  1. Name the line that is perpendicular to FC.
  2. Find ∠BCH.
  3. Find ∠HKC.
4 m
Square Rectangle Angles sum of triangle Overlapping angles
470 P6.SP.TL.18012277
Level 3
At 5.30 p.m., Bella and Brent left Hotel A for Hotel B at average speeds of 72 km/h and 50 km/h respectively. Upon reaching Hotel B, Bella rested for 20 minutes. She then headed back for Hotel A at an average speed of 72 km/h along the same route. Brent and Bella met each other on their way at 9 p.m.
  1. How much more distance had Bella covered than Brent when they met on their way?
  2. How far apart were Hotel A and Hotel B? Express the answer in mixed number.
4 m
DST triangle Average speed Different speed Same starting point Same starting time Meeting point Unit conversion Duration More than or less than
471 P4.AN.JM.17092872
Level 3
The figure shows a piece of square paper ABCD folded at two of its corners A and C. ∠AED is 3 times as large as ∠ADE and ∠CDF is 6° smaller than ∠ADE. Find ∠ADC.
4 m
Square Angles sum of triangle Overlapping angles Model Comparison Model Times-as-many Units method
472 P6.PA.JM.18011232
Level 3
The equilateral triangles are formed using 2 cm-sticks.
  1. How many sticks are needed to form pattern 5?
  2. In which pattern will each side of the triangle measure 32 cm?
  3. Calculate the number of shaded triangles in Pattern 100.
5 m
Sum of consecutive Area perimeter Length Triangle
473 P6.PA.JM.18011234
Level 3
1-cm square tiles and triangular tiles were used to make some figures. The area of each triangular tile was half that of a square tile. The first four figures are shown.
  1. Find the area of Figure 5.
  2. How many squares were used to make a figure with an area of 180.5 cm2?
5 m
Repeated patterns Square numbers Sum of consecutive Area perimeter Square Triangle
474 P6.SP.TL.18012278
Level 3
May started jogging from home to park at a speed of 300m/min at 6 a.m. Her brother started jogging from home later. They were beside each other at 6.30 a.m. and her brother reached park at 7 a.m. while May was still 1800 m away. If both of them travelled at a constant speed throughout the journey, what time did her brother leave home?
4 m
DST triangle Average speed Same starting point Different starting time Distance apart Start end time
475 P6.SP.TL.18012281
Level 3
At 8 a.m., Shaira and Joana raced off together from the starting point of a trail. Shaira ran at an average speed of 3 m/s. Joana ran at an average speed of 4 m/s. Upon reaching the end of the trail, Joana rested for 5 minutes. She then immediately ran back along the same route at 4 m/s. At 8.40 a.m., Shaira met Joana.
  1. Find the total distance covered by the two runners when they met each other. Express the answer in km.
  2. Find the length of the trail in km.
4 m
DST triangle Average speed Different speed Same starting point Meeting point Distance apart Unit conversion Duration
476 P6.SP.TL.18012283
Level 3
Singapore and Kuala Lumpur is 375 km apart. Rael left Singapore for Kuala Lumpur at 10.00 a.m. travelling at an average speed of 75 km/h. Sam left Singapore later than Rael and caught up with him at 12.00 p.m. Sam was travelling at a speed of 90 km/h.
  1. At what time did Sam leave Singapore?
  2. How much later did Rael arrive in Kuala Lumpur than Sam?
4 m
DST triangle Different speed Same starting point Different starting time Overtaking Distance apart Duration Start end time Timeline
477 P6.AP.TL.17090773
Level 3
The figure shows a square that is cut out from a big triangle. The area of the triangle and that of the square are whole numbers. Both the height and the base of the triangle are equal. If the shaded area is 73 cm2, find
  1. The length of the square
  2. The base of the triangle
3 m
Length Square Square & square root Triangle Guess & check
478 P6.SP.TL.18012284
Level 3
At 8 a.m., Rina started from City A and travelled towards City B and his speed remained constant throughout. At 9 a.m., Mandy started her journey from City A towards City B at an average speed of 72 km/h. Mandy overtook Rina at 12 p.m. After overtaking, Mandy carried on her journey at the same average speed and reached at City B at 2:30 p.m.
  1. Find Rina's average speed in km/h.
  2. What is the distance between the two cities?
4 m
DST triangle Average speed Same starting point Different starting time Overtaking Duration Start end time Timeline
479 P6.SP.TL.18012285
Level 3
After 20 minutes into a race, Daniel has run 58 of the route while Piolo has covered only 38 of the distance. Daniel runs at the same average speed throughout the race and Piolo's average speed is 60 m/min slower than Daniel's. If Piolo wants to finish the race at the same time as Daniel, by how many percent should he increase his average speed by for the remaining part of the race? Round off the answer to the nearest whole number.
4 m
DST triangle Average speed Different speed Same starting point Direct ratio W Round off Fraction of a whole Percent change to More than or less than
480 P6.SP.TL.18012287
Level 3
Timothy took 15 min to jog from his home to his school. After that, he took 20 min to walk the same way home. His walking speed was 3 km/h slower than his jogging speed.
  1. Find Timothy's jogging speed in km/h.
  2. How far was the school from his home?
4 m
DST triangle Average speed Different speed Distance apart Inverse ratio Unit conversion Duration More than or less than

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