151 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
152 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
153 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
154 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
155 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
156 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
157 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
158 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
159 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
160 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

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