61 P5.AP.JM.17083239
Level 2
PQRS is a square of side 16 cm. W, X, Y and Z are the mid-points of each side of the square PQRS. Find the area of WXYZ.
2 m
Square Cut & paste
62 P6.SP.TL.18012229
Level 3
Machine X takes 5 minutes to cut 85 pieces of lumbers. Machine Y takes 15 minutes to cut 120 pieces of lumbers. Machine Z takes 10 minutes to cut 120 pieces of lumber.
  1. Which is the faster combination, X and Y or Y and Z? (Eg A, B)
  2. In 1 minute, how many more pieces of lumbers can be cut by the faster combination compared to the other combination?
3 m
Rate more than 1 object Duration More than or less than
63 P6.AP.JC.17050717
Level 2
The biggest circle has a diameter of 28 cm. Find the total area of the shaded parts. (Take π as 3.14)
2 m
Circle area Semicircle Cut & paste
64 P5.AP.JM.17083240
Level 2
The figure is made up of 4 identical squares. What percentage of the figure is shaded?
2 m
Square Cut & paste Finding percent
65 P5.AP.JM.17083238
Level 2
The figure is made up of two identical rectangles ABCD and BCEF. The area of Triangle ACE is 12 the area of Rectangle ______.
2 m
Rectangle Triangle Cut & paste Fraction of a whole
66 P6.AP.TL.17090756
Level 2
The figure is formed using four identical isosceles triangles. AGD, AFB, BEC and CHD. ABCD is a square where E, F, G and H are midpoints of its sides. Given FJ = CJ, HK = BK and AD = 14 cm, find the total area of the shaded parts.
2 m
Square Isosceles triangle Composite figure area Cut & paste
67 P6.AP.TL.17090757
Level 2
The figure is formed by a circle and an isosceles triangle where PQ = PR. The radius of the circle is 14 cm. Find the area of the shaded part. (Take π = 227)
2 m
Isosceles triangle Right-angled triangle Circle Semicircle Composite figure area Cut & paste
68 P6.AP.TL.17090760
Level 2
The figure is made up of 4 identical circles where W, X, Y and Z are the centres of the circles. Each circle has a radius of 7 cm. Find the area of the shaded region. (Take π = 227)
2 m
Circle Circle area Composite figure area Cut & paste
69 P5.AP.JM.17083242
Level 2
The figure shown is cut from a piece of paper. ABCD is a square and EFGH is a rectangle. Find the area of the figure.
2 m
Square Rectangle Composite figure area Overlapping area
70 P4.FR.JM.17101641
Level 2
Figure PQRS is a square. It is made up of 1 small square, 2 small triangles and 3 large triangles. PR and OS are straight lines. What fraction of the square PQRS is shaded?
3 m
Fraction of a whole Cut & paste Area Perimeter Square Triangle
71 P4.FR.JC.17100344
Level 2
Suresh had 1 m of string. He cut 3 pieces of string, each measuring 20 cm and gave them to his sister. What fraction of the string was left?
3 m
Fraction of a whole Length Unit conversion
72 P5.VO.JC.17083119
Level 3
The area of one face of the wooden cube is 3600 cm2. A carpenter cut the wooden cube into three cuboids of identical size. After gluing the cuboids together to make a solid figure as shown, he painted all the surfaces of the solid figure red. What was the total surface area of the solid figure that had been painted red?
3 m
Volume of cuboid Volume of cube Partly-painted surface area
73 P5.RA.JM.17083113
Level 3
The figure shows a rectangular piece of paper. It is cut into 3 parts, X, Y and Z. Find the ratio of the area of the rectangular piece of paper to the area of Y. Leave your answer in the simplest form.
4 m
Finding ratio R Simplest form Area Perimeter Rectangle
74 P4.FR.JM.17103131
Level 2
Carla cut a pizza into 6 equal parts. She ate 2 slices and her brother ate 14 of the pizza. What fraction of the pizza was left?
3 m
Fraction of a whole F Simplest form F Addition & subtraction Model Part-whole
75 P3.AP.JM.17102353
Level 2
A piece of rope is 100 cm long. It is cut into 2 pieces. One piece is used to form a square. Each side of the square is 12 cm. What is the length of the other piece?
3 m
Length Square
76 P4.DE.JM.17101088
Level 2
A roll of rope was cut into 2 pieces. One piece was 4 times as long as the other piece. If the longer piece was 20.05 m long, what was the length of the shorter piece?
2 m
D Division Length Model Times-as-many Units method
77 P4.FR.JM.17103157
Level 2
Belle bought a cake and cut it into 8 equal pieces. He gave 58 of the cake to her sister and 2 pieces to her brother. What fraction of the pie was left?
3 m
Fraction of a whole F Addition & subtraction
78 P4.FR.JM.17103160
Level 2
James bought a pizza and cut it into equal slices. He ate 512 of the pizza and his sister ate 16 of the pizza. What fraction of the pizza was left?
3 m
Fraction of a whole F Simplest form F Addition & subtraction
79 P4.AP.JM.17100186
Level 3
The figure shows a big square of side 14 cm. Four small 3 cm squares are cut out from the four corners of the big square. Find
  1. the perimeter of the figure,
  2. the area of the remaining figure.
3 m
Square Rectangle Composite figure perimeter Composite figure area
80 P4.AP.JM.17100187
Level 3
The figure shows a big rectangle measuring 14 cm by 10 cm. Four small squares of side 2 cm are cut out from the four corners of the big rectangle. Find
  1. the perimeter of the figure,
  2. the area of the remaining figure.
3 m
Square Rectangle Composite figure perimeter Composite figure area

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