41 P6.DA.NK.21060936
Level 2 PSLE
Sara took a taxi from her office to her home. Her taxi fare was based on the charges shown. The taxi stopped once at a traffic light for 2 minutes and travelled a total distance of 6.2 km to reach Sara's home. How much was her taxi fare?
2 m
Tiered rate Length Money Duration
42 P6.RD.JC.17031303
Level 3 PSLE
In the figure not drawn to scale, ACEG and BDFH are squares. AB, CD, EF and GH are of the same length. The ratio of AB : BC is 3 : 1.
  1. What fraction of square ACEG is shaded?
  2. If the length of the square is 96 cm, find the unshaded area in cm2.
3 m
Fraction to units Ratio to units Area Perimeter Square Cut & paste
43 P6.AP.TL.17090720
Level 2
A chain is wrapped round two wheels which has a diameter of 8 m. Line AB is 12 m. Find the length of the chain. (Take π = 3.14)
2 m
Circle Circumference Length
44 P6.DA.NK.21060938
Level 2 PSLE
The average height of a group of children was 139.4 cm. When Mr Tan measured and recorded the height of these children, he wrongly recorded one child's height as 181 cm when it should have been 118 cm. As a result, Mr Tan calculated the average height as 142.4 cm. How many children were there in the group?
2 m
Average with unknown quantity Length Gap & difference
45 P6.AP.TL.17090726
Level 2
5 identical quarter circles were cut out from a square cardboard of length 18 cm. Find the area of the 5 quarter circles. Leave the answer in terms of π.
2 m
Square Quarter circle Length
46 P6.FR.JC.23030107
Level 3 PSLE
Mark pushes two poles, A and B, straight into the ground until the length of each stick that is above the ground is the same.

13 of A and 18 of B are in the ground. The length of A in the ground is 30 cm longer than the length of B in the ground. What is the total length of poles A and B?
2 m
Fraction of a whole F Addition & subtraction Fraction to units Common numerator
47 P6.DE.JO.21042241
Level 2 PSLE
A plank of length 6.3 m was cut into three pieces. The first piece was thrice as long as the second piece. The second piece was 2 times as long as the third piece. How long was the second piece?
2 m
D Multiplication D Division Length Times as many Units method
48 P6.AP.TL.17090738
Level 2 PSLE
The shaded figure is formed using 3 squares and 3 equilateral triangles. The length of the straight line PQ is 15 cm. Find the perimeter of the shaded figure.
2 m
Square Equilateral triangle Composite figure perimeter
49 P6.AP.TL.17090742
Level 2
The figure is formed by 5 identical squares with 3 similar semi-circles cut out from it. Each square has a side of 14 cm. Find the perimeter of the shaded figure. Leave the answer in terms of π.
2 m
Length Square Circumference Semicircle Composite figure perimeter
50 P6.PA.NK.21060303
Level 3 PSLE
Victoria hung some identical oval rings vertically. The thickness of each oval ring was 1 cm. The figure shows how the oval rings are connected.
  1. What was the distance from the top of the 1st oval ring to the bottom of the 3rd oval ring?
  2. The distance from the top of the 1st ring to the bottom of the last ring was 177 cm. How many oval rings did Victoria hang altogether?
3 m
Equal intervals Length
51 P6.AP.TL.17090744
Level 2 PSLE
Anna has a square piece of paper FGHJ of side 21 cm. She cut along the dotted lines shown in Figure 1 to get one small square of area 9 cm2 and 8 identical right-angled triangles. Triangle KLM in Figure 2 is one such triangle. Find the length of KM.
2 m
Length Square Square & square root Right-angled triangle Composite figure area
52 P6.AP.NK.21060418
Level 3 PSLE
Figure 1 is a trapezium with a perimeter of 18 cm. Figure 2 is made up of four such trapeziums. The perimeter of Figure 2 is 48 cm. What is the length of the side GH of the trapezium?
2 m
Length Composite figure perimeter Trapezium
53 P6.AP.TL.17090713
Level 2 PSLE
In the figure, ABDF and BCEF are rectangles and CDE is a straight line. AB = 6 cm, AF = 8 cm and BF = 10 cm. Find the length of BC.
2 m
Length Rectangle Right-angled triangle Composite figure area
54 P6.SP.JC.17080917
Level 3
9 identical 4-cm cubes are placed in an empty rectangular tank of length 90 cm and width 25 cm. The tank is then filled with water from a tap flowing at a rate of 7 litres per minute. It takes 12 minutes to fill up 34 of the tank. What is the height of the tank? Correct the answer to 1 decimal place.
3 m
Rate 1 object Volume Volume of cube Filling tank Fraction of a whole D Place values D Round off
55 P6.RA.TL.16010110
Level 3
The figure is not drawn to scale. It is made up of a square and a rectangle. The ratio of the area of the square to that of the rectangle is 3 : 4. After the shaded part is cut out, the ratio of the area of unshaded part of the rectangle to that of the unshaded part of the square is 2 : 1. Given the length of the square is 9 cm, find the area of the shaded part.
3 m
Ratio to units Area perimeter Square Rectangle Overlapping area Unchanged difference Units table
56 P6.AP.TL.17090741
Level 2
The figure is made up of a rectangle and 2 quadrants. If the length of the rectangle is 16 m and the breadth of the rectangle is 8 m, find the area of the shaded area. (Take π as 3.14)
2 m
Rectangle Quarter circle Composite figure area
57 P6.VO.TL.17090770
Level 3
The figure shows a cube. The total length of all the edges of the cube is 156 cm.
  1. Find the area of the shaded face.
  2. Find the volume of the cube.
3 m
Volume of cube Square & square root Surface area
58 P6.VO.NK.17053177
Level 3
The diagrams are not drawn to scale. Diagram 1 shows a rectangular tank containing 6 identical cubes and filled to the brim. It had a length of 40 cm and a breadth of 10 cm. In Diagram 2, four cubes were removed from the same tank and the water level dropped by 2.16 cm. After that, a certain amount of water was drained off the tank until the water level reaches the same height as the remaining cubes. Find the volume of the water in the tank in Diagram 2 in the end. Give the answer in litres.
3 m
Volume of cube Height of cuboid Displacement Unit conversion
59 P6.AG.JC.15051409
Level 2 PSLE
Jasmine had a piece of ribbon 17p cm long. She formed a triangle, with sides measuring p cm, 5p cm and 30 cm, with part of the wire.
  1. Express the length of the remaining ribbon in terms of p in the simplest form.
  2. Jasmine used the remaining ribbon to form a rectangle of length 3p cm. If p = 8, what was the breadth of the rectangle?
3 m
Algebra in 1 variable Algebra simplifying Algebra substitution Length Area perimeter Rectangle
60 P6.AP.JC.22050403
Level 3
In the figure, ABC and ADE are right-angled isosceles triangles. BD = CE = 2 cm. The shaded area is 22 cm2. Find the length of AC.
2 m
Length Isosceles triangle Right-angled triangle Overlapping area

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