Level 3
A rectangle is 25 cm long and 20 cm wide. Its length is now increased by 40% and its breadth is increased by 50%. Find the perimeter of the new rectangle.
4 m
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Level 3
The length and the breadth of a rectangle are both decreased by 20%. By how many percentage will its area be decreased by?
4 m
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Level 3
A thin wire, 132 cm long, is bent to form Figure 1 which consists of a square and a rectangle. If the wire does not overlap and the breadth of the rectangle is one third its length, what is the perimeter of the figure?
Level 3
A thin wire, 132 cm long, is bent to form Figure 1 which consists of a square and a rectangle. If the wire does not overlap and the breadth of the rectangle is one third its length, what is the perimeter of the figure?
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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.
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.
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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.
- Given that the height of the tank is 45 cm, find the volume of water in the tank.
- 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
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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?
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?
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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.
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.
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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.
- On Day 5 of his training session, how far did he swim? Give your answer in km.
- On which day did he swim a distance of 3 km?
5 m
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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.
- Find the capacity of the container in litres.
- 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.
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.
- Find the capacity of the container in litres.
- 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.
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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.
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.
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Level 3
The figure is made up of 6 similar rectangles of length 20 cm. Find the area of the shaded parts.
Level 3
The figure is made up of 6 similar rectangles of length 20 cm. Find the area of the shaded parts.
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Level 3
The rectangular piece of wood shown in Figure 1 has a perimeter of 68 cm. Fatimah arranged 4 such rectangular pieces of wood to form a figure as shown in Figure 2.
- Find the length of the rectangular piece of wood.
- Find the shaded area in Figure 2.
Level 3
The rectangular piece of wood shown in Figure 1 has a perimeter of 68 cm. Fatimah arranged 4 such rectangular pieces of wood to form a figure as shown in Figure 2.
- Find the length of the rectangular piece of wood.
- Find the shaded area in Figure 2.
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Level 3
The average length of 5 pieces of ribbon was 120 cm. When 2 pieces of ribbons were used, the average length of the remaining pieces of ribbons became 114 cm. What was the average length of the 2 pieces of ribbons used?
4 m
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Level 3
ABC is a right-angled triangle. 4 such identical triangles are used to form the Square WXYZ. Find the length of each side of the big Square WXYZ.
Level 3
ABC is a right-angled triangle. 4 such identical triangles are used to form the Square WXYZ. Find the length of each side of the big Square WXYZ.
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Level 3
The figure shows a star formed by 5 identical isosceles triangles and a regular Pentagon CEGIK (which is a 5-sided polygon with equal sides). Given that O is the centre of the star, Length OS = 11 cm and KC = CE = EG = GI = IK = 12 cm, Find the area of the star.
Level 3
The figure shows a star formed by 5 identical isosceles triangles and a regular Pentagon CEGIK (which is a 5-sided polygon with equal sides). Given that O is the centre of the star, Length OS = 11 cm and KC = CE = EG = GI = IK = 12 cm, Find the area of the star.
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Level 3
Jake took part in a 25-km cycling race. There was a water refill station at half the distance of the race.
- Jake stopped at the water refill station to refill his water bottle. How many kilometres was he away from the starting point to the water refill station?
- After passing the water refill station, Jake cycled 710 of the remaining distance and stopped. How many metres was he away from the finishing point?
4 m
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Level 3
The length of ribbon A and ribbon B is 30.55 m. The total length of ribbon B, C and D is 58.93 m. The length of ribbons C, D and E is 64.53 m. Ribbon E is twice the length of ribbon A. Find the length of ribbon A. Give the answer in metres.
4 m
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Level 3
Some poles are placed along the perimeter of a rectangular court measuring 15 m by 12 m. The poles are placed equally apart. If the distance between each pole is 3 m, find the total number of poles used.
Level 3
Some poles are placed along the perimeter of a rectangular court measuring 15 m by 12 m. The poles are placed equally apart. If the distance between each pole is 3 m, find the total number of poles used.
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Level 3
Hannah bought 2014 m of cloth. She used 34 m to make a cushion cover. She used 13 of the remaining cloth to make curtains. How much more cloth did she use to make the curtains than the cushion cover?
4 m
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Level 3
Tricia used 25 of the ribbon to tie some presents. She threw away 47 of the remaining ribbon. As a result, she had 54 centimetres of ribbon left. How much ribbon did Tricia have at first? Give your answer in centimetres.
4 m
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