421 P5.AP.NK.23102501
Level 3
In the figure, ABCD is a rectangle. E is a point on line AB. F and G are points on line DC. The total shaded area of triangles DEF and FBG is 112 cm2. AD = 14 cm and GC = 4 cm. Find the area of rectangle ABCD.
3 m
Length Rectangle Triangle Composite figure area
422 P4.AP.JM.17100223
Level 3
The figure is made up of 2 rectangles. The area of the figure is 126 cm2.
  1. What is the length BC?
  2. What is the area of rectangle CDEF?
3 m
Length Rectangle Rectilinear figure Composite figure area
423 P5.VO.NK.23012646
Level 3
A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 8 : 4 : 15.
  1. Given that the height of the tank is 45 cm, find the volume of water in the tank.
  2. All the water in the tank was poured into 2 empty bottles A and B without spilling any water. As a result, Bottle A had 1500 cm3 more water than Bottle B. Find the volume of water in Bottle A. Give your answer in litres.
4 m
Volume of cuboid Ratio to units More than or less than Units method
424 P4.AP.JM.17100179
Level 3
The figure shown, not drawn to scale, is made up of a rectangle X with length 18 cm and a square Y of sides 14 cm. What is the area of the rectangle X?
3 m
Square Rectangle Rectilinear figure Composite figure area
425 P6.AP.TL.17090792
Level 3
The figure shows a rectangle with 2 identical semicircles and quadrants within It. The length of the rectangle is 10 cm. Find the area of the shaded part. (Take π = 3.14)
3 m
Rectangle Semicircle Quarter circle Composite figure area
426 P5.AP.JM.17083197
Level 3
In the figure, ABCD is a square of area 81 cm2. The length of AB is 3 times The length of BE. What is the area of Triangle ABE?
3 m
Square Composite figure area Times as many
427 P3.AP.JM.17102357
Level 3
A piece of wire 72 cm long is bent to form 2 squares as shown.
  1. What is the length of each side of the square?
  2. What is the area of one square?
4 m
Length Square
428 P5.AP.JM.17083229
Level 3
Find the area of the figure given that the area of the shaded part is 52 cm2 and The length of BC is twice that of AB.
3 m
Triangle Composite figure area Times as many
429 P5.PA.JM.17083175
Level 3
Collin was training for a swimming competition. On Day 1 of his training, he swam 600 m. On Day 2, he swam 0.1 km more than Day 1. For each subsequent training session, he swam a distance of 0.1 km more than the previous training session.
  1. On Day 5 of his training session, how far did he swim? Give your answer in km.
  2. On which day did he swim a distance of 3 km?
5 m
Equal intervals Length Unit conversion
430 P4.WN.JM.17102114
Level 3
Sam cycles 25 km daily. What is the distance he will cycle in 3 weeks?
3 m
W Multiplication & division Length
431 P3.AP.JC.17121412
Level 3
The larger square has a length of 5 cm and the smaller square has a length of 3 cm. Find the difference in the area between 2 squares.
4 m
Square More than or less than
432 P3.AP.JM.17102375
Level 3
A piece of wire was 5 m long. Henry cut out part of the wire and bent it into 3 squares of different sizes as shown. What was the length of the wire left? (Give your answer in m and cm.)
4 m
Length Square Unit conversion
433 P4.AP.NK.23050824
Level 3
Azli has a plot of land as shown in the figure. He wants to build a fence around the plot of land.
  1. What is the total length of the fence required?
  2. What is the total area of the plot of land?
3 m
Rectilinear figure Composite figure perimeter Composite figure area
434 P5.VO.JM.17083199
Level 3
Figure A shows a rectangular container. It is 35 filled with water. The length of the container is 18 cm and its breadth is 3 cm.
  1. Find the capacity of the container in litres.
  2. All the water in the rectangular container is poured into another tank as shown in Figure B. Find the height that represents the water level of the amount of water in it.
4 m
Volume of cuboid Height of cuboid Volume transfer Fraction to units Units method
435 P5.AP.JM.17083102
Level 3
The figure is made up of 2 overlapping squares. The area of the shaded part is 20 cm2. The length of the bigger square is 6 cm. Find the length of the smaller square.
3 m
Square Rectilinear figure Square & square root Composite figure area Overlapping area
436 P3.AP.JC.18012101
Level 3
The perimeter of a rectangle is 80 cm. Its length is 24 cm longer than its breadth. Find
  1. the breadth
  2. the area
4 m
Rectangle Model Comparison Units method
437 P4.WN.NK.22112905
Level 3
Aisa has 405 cm of lace. She sews the lace around 6 identical square shaped cushion cover. If she uses 89 cm of lace on each cushion covers, how much lace does she need to buy?
3 m
W 4 operations Length Model Part-whole
438 P3.AP.JC.18012102
Level 3
The length of a rectangle is thrice its breadth. Its perimeter is 80 cm. Find
  1. the breadth of the rectangle
  2. the area of the rectangle
4 m
Rectangle Model Times-as-many Units method
439 P4.AP.NK.23050814
Level 3
The figure is made of 5 similar squares and a rectangle. The length of one side of a square is 6 cm. What is the total area of the figure?
3 m
Square Rectangle Rectilinear figure Composite figure area
440 P4.WN.NK.22112912
Level 3
The total height of Hill A and Hill B is 3813 m. Hill B is 987 m lower than Hill A. Find the height of Hill A.
3 m
W 4 operations Length Model Comparison

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