161 P6.SP.TL.18012270
Level 3
After cycling for 30 km, Mark took a break before he continued cycling 13 of the remaining distance. He then realised that he still had 14 of the total distance not completed. If Mark's average speed was 30 km/h, how much time did he take to complete the entire ride? Express the answer in mixed number.
4 m
DST triangle Average speed Duration Fraction of a whole Common numerator Units method
162 P6.PA.JM.18011225
Level 3
Check out the pattern.
  1. What is the sum of the two numbers in Row 100?
  2. What are the two numbers in Row 99? (Eg 1, 2)
  3. Under which column A, B, C or D, will the number 586 appear?
5 m
Division with remainder Equal intervals Repeated patterns Units method
163 P6.DA.JC.22051102
Level 2 PSLE
The pie chart shows how Zoe spent her money. The amount of money spent is also represented by the bar graph.
  1. What percentage of her money did Zoe spend on food?
  2. What fraction of her money did Zoe spend on books?
  3. How much of her money was spent on transport?
5 m
Bar graph Pie chart Fraction of a whole F Simplest form F Multiplication Percent of a whole Money Units method
164 P6.VO.NK.17053167
Level 3
The figure is not drawn to scale. It shows a container made of two connected cubical tanks, A and B. Tank A is sealed at the top and completely filled to the brim. Tank B is 35 filled with 129600 mℓ of water. The height of the water level in Tank B is 1 cm higher than that in Tank A. The height of Tank B is 60 cm. Water is then drained from the container and the height of the water level from the base falls to 30 cm.
  1. What is the capacity of Tank B?
  2. What is the volume of water in the tank now in litres?
5 m
Volume of cube Height of cuboid Filling tank Fraction of a whole Unit conversion More than or less than Units method
165 P6.DA.TL.18011920
Level 3
The average points accumulated by 6 children is 91.5. They have all attained different points which are whole numbers. The lowest point is 70 while the highest point is 100.
  1. Find the average points achieved by the 4 children whose marks lie between the highest and the lowest.
  2. Find the smallest possible second lowest mark among these 6 children.
  3. Find the largest possible second lowest mark among these 6 children.
5 m
Average with min-max More than or less than Units method
166 P6.SP.TL.18012282
Level 3
Building A and Building B were 360 km apart. A car travelled from Building A towards Building B. At the same time, a bus started from Building B to Building A. After travelling 112 hours, the two vehicles were still 144 km apart. If the ratio of the average speed of the bus to that of the car was 4 : 5, find
  1. the average speed of the bus.
  2. the time taken for them to meet. travelling the rest of the journey
4 m
DST triangle Average speed Different starting point Same starting time Distance apart Direct ratio Common time Duration Units method
167 P6.FR.JO.21042208
Level 3 PSLE
Sue baked some tarts. She gave 14 of the tarts to her relatives and 70 to her friends. She was left with 25 of the tarts. She packed these into 10 boxes. Some boxes contained 5 tarts while the rest contained 10.
  1. How many tarts were packed into the 10 boxes?
  2. How many boxes contained 10 tarts?
4 m
Fraction of a set F Addition & subtraction Make supposition Units method
168 P6.AN.NK.17050208
Level 3
In the figure, not drawn to scale, O is the centre of the circle. Given that the ratio of ∠OBC : ∠AOC is 3 : 11. Find ∠AOB.
4 m
Isosceles triangle Circle Angles at a point Ratio to units Units method
169 P6.AN.NK.17051738
Level 3
The figure is not drawn to scale. ∠BAC = 40°, BA = BC and AF//BE. Given that ∠z is 12 of ∠x and ∠z is 3 times of ∠y, find
  1. ∠z
  2. ∠w.
4 m
Isosceles triangle Angles on straight line Corresponding angles Sum of angles in a quadrilateral Fraction of a whole Fraction to units Times as many Units method
170 P6.AN.NK.17050210
Level 3
In the figure not drawn to scale, O is the centre of the circle and RSU and PST are straight lines. If ∠TSU = 54° and ∠RSO is twice of ∠OSP, find ∠Q.
4 m
Isosceles triangle Circle Angles at a point Sum of angles in a quadrilateral Angles properties within a circle Times as many Units method

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