Level 3
During a family day event, Vivian participated in a cross country event. She ran 38 of the distance. She walked 14 of the remaining distance. As a result, she was still 360 m away from the end point. What was the distance of the cross country race? Give your answer in meters.
4 m
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Level 3
Becky filled a rectangular container which had a base area of 40 cm
2 and a height of 25.2 cm with water. Then, she placed 8 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 1.6 cm.
- What was the length of each side of the metal cube?
- After Becky removed the metal cubes from the container, she poured all the water from the container to fill bottles of 0.35 ℓ. What was the maximum number of bottles she could fill?
5 m
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Level 3
In the figure not drawn to scale, 4 identical rectangles were placed around square ABCD to form a larger square, EFGH. The area of one rectangle is 12 cm2, and the area of ABCD is 14 of EFGH. Find the length of one rectangle.
Level 3
In the figure not drawn to scale, 4 identical rectangles were placed around square ABCD to form a larger square, EFGH. The area of one rectangle is 12 cm2, and the area of ABCD is 14 of EFGH. Find the length of one rectangle.
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Level 3
In the figure, triangle DEF was drawn within 3 identical squares of side 9 cm. BC was 8 cm.
- Find the area of the shaded figure.
- The shaded figure was used as a design and printed on a piece of cloth. After printing, the total shaded area of the piece of cloth was 13005 cm2. What was the length of piece of cloth? (Give your answer in metres.)
Level 3
In the figure, triangle DEF was drawn within 3 identical squares of side 9 cm. BC was 8 cm.
- Find the area of the shaded figure.
- The shaded figure was used as a design and printed on a piece of cloth. After printing, the total shaded area of the piece of cloth was 13005 cm2. What was the length of piece of cloth? (Give your answer in metres.)
Image in this question is not available.
Level 3
The figure, not drawn to scale, is made up of identical small squares and big squares. The length of the small and big squares are 10 cm and 20 cm respectively. Find the area of the shaded parts.
Level 3
The figure, not drawn to scale, is made up of identical small squares and big squares. The length of the small and big squares are 10 cm and 20 cm respectively. Find the area of the shaded parts.
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Level 3
4 identical right-angled triangles are used to form a square as shown.
- What is the area of square ABCD?
- What is the length of Square ABCD?
Level 3
4 identical right-angled triangles are used to form a square as shown.
- What is the area of square ABCD?
- What is the length of Square ABCD?
Image in this question is not available.
Level 3 In the figure, PQRS is a rectangle with a perimeter of 84 cm. PU, PR, TU and TR are straight lines. The length of PQ is twice the length of QR.
- What is the area of rectangle PQRS?
- Given that the area of triangle TRU is 91 cm2
, find the area of triangle SPU.
Level 3 In the figure, PQRS is a rectangle with a perimeter of 84 cm. PU, PR, TU and TR are straight lines. The length of PQ is twice the length of QR.
- What is the area of rectangle PQRS?
- Given that the area of triangle TRU is 91 cm2
, find the area of triangle SPU.
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Level 3
ABFG is a square. The length of CD is 35 of BF and the area of BCDE is 864 cm2. Given BC = EF, Find the area of the shaded parts.
Level 3
ABFG is a square. The length of CD is 35 of BF and the area of BCDE is 864 cm2. Given BC = EF, Find the area of the shaded parts.
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Level 3
12 similar strips of paper were glued to form a new long strip of paper of length 135 cm. The first and second strip were glued together to form an overlapped length of 3 cm as shown. This was consistent for the rest of the remaining strips of paper. Find the length of each original strip of paper.
Level 3
12 similar strips of paper were glued to form a new long strip of paper of length 135 cm. The first and second strip were glued together to form an overlapped length of 3 cm as shown. This was consistent for the rest of the remaining strips of paper. Find the length of each original strip of paper.
Image in this question is not available.
Level 3
Six identical rectangular parcels are packed into a rectangular box with a width of 80 cm. The top view of two possible arrangements are shown below. The first arrangement shown leaves gaps of 23 cm and 15 cm. The second arrangement shown leaves a 34 cm gap. What is the length of the other gap in the second arrangement?
Level 3
Six identical rectangular parcels are packed into a rectangular box with a width of 80 cm. The top view of two possible arrangements are shown below. The first arrangement shown leaves gaps of 23 cm and 15 cm. The second arrangement shown leaves a 34 cm gap. What is the length of the other gap in the second arrangement?
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Level 3
Winnie had two rolls of ribbons of the same length but different designs. She cut the first roll of ribbon into equal pieces of length 36 cm and there were 7 hearts on each piece of ribbon and cut the second roll of ribbon into equal pieces of length 54 cm and there were 9 stars on each piece of ribbon as shown. After she finished cutting both rolls of ribbons, she counted that the total number of hearts was 84 more than the total number of stars. Find the length of one roll of ribbon in cm.
Level 3
Winnie had two rolls of ribbons of the same length but different designs. She cut the first roll of ribbon into equal pieces of length 36 cm and there were 7 hearts on each piece of ribbon and cut the second roll of ribbon into equal pieces of length 54 cm and there were 9 stars on each piece of ribbon as shown. After she finished cutting both rolls of ribbons, she counted that the total number of hearts was 84 more than the total number of stars. Find the length of one roll of ribbon in cm.
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Level 3
Belle painted a letter 'N' on a piece of rectangular cardboard that has a length of 15 cm. The ratio of the length to the breadth of the cardboard is 5 : 4. Both triangles were identical. What area of the cardboard was painted?
Level 3
Belle painted a letter 'N' on a piece of rectangular cardboard that has a length of 15 cm. The ratio of the length to the breadth of the cardboard is 5 : 4. Both triangles were identical. What area of the cardboard was painted?
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Level 3
Some identical rectangular tiles are arranged to form a big rectangle as shown. The length of each tile is 36 cm. Find the area of the shaded part.
Level 3
Some identical rectangular tiles are arranged to form a big rectangle as shown. The length of each tile is 36 cm. Find the area of the shaded part.
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Level 3
Mr Chen used some identical rectangular tiles and black square tiles to decorate part of a floor as shown. The length of each tile is 34.5 cm.
- Find the width of each tile.
- Find the total area of the shaded regions.
Level 3
Mr Chen used some identical rectangular tiles and black square tiles to decorate part of a floor as shown. The length of each tile is 34.5 cm.
- Find the width of each tile.
- Find the total area of the shaded regions.
Image in this question is not available.
Level 3
Karen tied some ribbons along a rope in a row at equal distance apart. The distance between the first and the fifth ribbon was 8 m. The first ribbon and the last ribbon were tied 3 m away from each end of the rope. What was the length of the rope if she had tied 30 ribbons on it?
5 m
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Level 3
Jaslyn placed 25 pins in a row from one to the other end of a bulletin board at equal distance apart as shown in the diagram. The distance between the first and last pin was 96 cm.
- What was the distance between the first and eighth pin?
- Jaslyn decided to remove 8 pins and rearrange the remaining pins at a new equal spacing. What was the new distance of each spacing?
Level 3
Jaslyn placed 25 pins in a row from one to the other end of a bulletin board at equal distance apart as shown in the diagram. The distance between the first and last pin was 96 cm.
- What was the distance between the first and eighth pin?
- Jaslyn decided to remove 8 pins and rearrange the remaining pins at a new equal spacing. What was the new distance of each spacing?
Image in this question is not available.
