141 P6.SP.TL.18012257
Level 3
King took 6 hours to drive from Point A to Point B while Jack took 4 hours to drive from Point B to Point A. When they met each other, they were 48 km away from the midpoint of Point A and Point B. What was King's speed?
3 m
Average speed Different starting point Meeting point Inverse ratio Duration Units method
142 P6.AP.TL.17090768
Level 3
The perimeter of the figure formed by 3 squares, A, B and C, is 54 cm. The length of Square C is 12 the length of Square B. The length of Square A is twice the length of Square B. Find the area of Square A.
3 m
Length Square Fraction to units Times as many Units method
143 P6.SP.TL.18012264
Level 3
A bus and a car started travelling from Town A to Town B at the same time. After 5 hours, the car reached Town B while the bus covered only 710 of the journey. The speed of the car was 21 km/h more than the speed of the bus. Find the speed of the bus.
3 m
DST triangle Average speed Same starting point Same starting time Direct ratio Common time Fraction to units More than or less than Units method
144 P6.SP.TL.18012263
Level 3
Jen and David started running together along a cross country track. When David completed the track in 40 minutes, Jen had run only 58 of the track. Jen’s average speed was 75 m/min slower than David’s.
  1. How long was the cross country track in m?
  2. Find Jen’s average speed in m/min.
3 m
DST triangle Average speed Different speed Same starting point Same starting time Direct ratio Common time Fraction to units More than or less than Units method
145 P6.AG.JC.17080467
Level 3
Ali is b years old. Bill is four times as old as Ali and Calvin is 6 years younger than Bill.
  1. Express Calvin's age in terms of b.
  2. Ali is 10 years old as of now. ln how many years' time will Calvin be 3 times as old as Ali?
4 m
Algebra in 1 variable Algebra simplifying More than or less than Times as many Units method
146 P6.VO.NK.17080912
Level 3
310 of the tank is filled with water. Another 210 litres of water are needed to fill the tank to its brim.
  1. What is the volume of the tank?
  2. The Height of the tank is 60 cm and its length is 100 cm. Find the perimeter of its base.
4 m
Volume of cuboid Fraction of a whole Unit conversion Units method
147 P6.PC.NK.21060211
Level 3 PSLE
The students of a test are divided equally into two groups. In the first group, there are 30 more boys than girls. In the second group, there are 12 more girls than boys. 40% of all the students are girls. How many students are boys?
4 m
Percent of a set More than or less than Equal stage Units method
148 P6.AN.NK.17051712
Level 3
In the figure, not drawn to scale, ABCD is a trapezium and PQCR is a square. AB//CQ. The size of ∠DCR is 54 of ∠DCQ . Find ∠ADC.
3 m
Square Trapezium Interior angles Fraction of a whole Units method
149 P6.AN.NK.17051737
Level 3
The figure is not drawn to scale. It has three parallel lines and two isosceles triangles. ∠x and ∠y are in the ratio of 3 : 5 respectively. Find ∠x + ∠y + ∠z.
3 m
Isosceles triangle Angles on a straight line Interior angles Ratio to units Units method
150 P6.VO.NK.17081503
Level 3
A rectangular tank, 80 cm by 50 cm by 40 cm, is filled with water to a height of 5 cm. The ratio of the volume of water in the tank to that in a pail is 5: 2. If 23 of the pail is filled with water, find
  1. the volume of the pail.
  2. the minimum number of such pails to fill the tank.
4 m
Volume of cuboid Filling tank Min-max Fraction of a whole Ratio to units Units method
151 P6.VO.NK.17080915
Level 3
The perimeter of the rectangular base of a tank is 400 cm. The ratio of its length to its breadth is 3 : 2. When 48 ℓ of water are poured into the tank, 25 of it is filled. Find the height of the tank.
4 m
Height of cuboid Filling tank Fraction of a whole Ratio to units Unit conversion Rectangle Units method
152 P6.VO.JC.19091413
Level 3 PSLE
David has 8 large cubes and some small cubes. He placed them in a rectangular tank. The tank was filled to the brim exactly. The diagram shows the first layer of cubes.
  1. How many small cubes does David have?
  2. The volume of the tank is 504 cm3. If the large cubes took up 37 of the tank, What is the length of the edge of one small cube?
4 m
Volume of cuboid Volume of cube Cube & cube root Filling up with cubes LCM F Multiplication Units method
153 P6.AN.NK.17051704
Level 3
The figure is not drawn to scale. ∠c and ∠a are in the ratio 1 : 3. ∠b and ∠d are in the ratio 3 : 2. If ∠a = 105°, find ∠d.
3 m
Sum of angles in a quadrilateral Ratio to units Units method
154 P6.SP.TL.18012286
Level 3
A car uses 9 litres of petrol for every 50 km it travels at an average driving speed is 80 km/h. It uses 6 litres of petrol for every 70 km it travels when it average driving speed is 60 km/h. How much petrol will the car consume use for a journey which lasts 12 h if it travels at 80 km/h for 5 h and 60 km/h for the rest of the journey?
4 m
Rate of 1 object DST triangle Journey by parts Unit conversion Duration Volume Units method
155 P6.FR.JC.19082905
Level 3
Bryan had some stickers. He gave 15 of his stickers to John and bought 4 new stickers. After that, he gave 13 of his remaining stickers to his brother and bought another 7 new stickers. In the end, Bryan had 55 stickers.
  1. How many stickers did Bryan give to his brother?
  2. How many stickers did Bryan have at first?
4 m
Fraction of a set Remainder concept Working backwards Model Part-whole Units method
156 P6.AP.TL.17090776
Level 3
Figure 1 shows a rectangle EFGH. It is folded along EG to form Figure 2. The area of Figure 2 is 58 of the area of Figure 1. The area of the shaded part in Figure 2 is 36 cm2. Find the area of rectangle EFGH.
3 m
Rectangle Triangle Overlapping area Folded figure Fraction to units Units method
157 P6.AP.TL.17090814
Level 3
The figure is made up of two identical squares, ABCD and WXYZ. The area of each square is 100 cm2. Point A is the centre of Square WXYZ. Find the unshaded area.
3 m
Square Cut & paste Fraction of a whole Units method
158 P6.SP.JC.19010101
Level 3
If Bill and Henry paint a house, they take 24 days to finish painting. If Kenny and Bill paint the same house, they take 8 days to finish painting. If Henry and Mark paint the same house, they take 12 days to finish painting. How many days do Kenny and Mark take to paint the house if they work together?
4 m
Rate more than 1 object Duration LCM Units method Units & parts & boxes Substitution
159 P6.SP.JC.17053169
Level 3
The figure shows 2 completely filled tanks being emptied of the water from 2 different taps. The difference in height between Tank X and Tank Y is 5 cm. The taps at Tank X and Tank Y were turned on at 0700 and 0830. respectively, until both were completely empty. At 1100, the water level in both tanks was the same. At 1230, Tank Y was completely empty and Tank X was only completely empty at 1300. If the rate of the flow of water from each tap was constant throughout, what was the height of Tank Y?
4 m
Rate more than 1 object Volume Time Height of cuboid Common numerator Units method
160 P6.FR.TL.16010134
Level 3
35 of Jack's savings is equal to 23 of Asher's savings. The difference in their savings is equal to 15 of Fred's savings. Jack saves $90 more than Fred. Find the total amount of saving of all 3 boys.
4 m
Fraction to units More than or less than Common numerator Units method

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