Level 3
The diagram shows 3 squares, the length of which are 1 cm, 2 cm and 3 cm respectively. Each square is made up of small squares which has a length of 1 cm and alternate squares are coloured grey and white.
- How many small grey squares are needed to create a square of side 11 cm?
- Find the length of the side of a square if 196 small grey and white squares are used to create it.
- Find the number of small white squares when a square of side 18 cm is created?
Level 3
The diagram shows 3 squares, the length of which are 1 cm, 2 cm and 3 cm respectively. Each square is made up of small squares which has a length of 1 cm and alternate squares are coloured grey and white.
- How many small grey squares are needed to create a square of side 11 cm?
- Find the length of the side of a square if 196 small grey and white squares are used to create it.
- Find the number of small white squares when a square of side 18 cm is created?
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Level 3
Three planks of different lengths, X,Y and Z are nailed together to make a frame as shown. Plank X has 3 holes which divide it into 4 equal parts. Plank Y has 4 holes which divide it into 5 equal parts and Plank Z has 5 holes which divide it into 6 equal parts. In the frame, the holes A, B and C are three corners of an equilateral triangle. Plank X is 120 cm long. What is the total length of Plank X, Plank Y and Plank Z?
Level 3
Three planks of different lengths, X,Y and Z are nailed together to make a frame as shown. Plank X has 3 holes which divide it into 4 equal parts. Plank Y has 4 holes which divide it into 5 equal parts and Plank Z has 5 holes which divide it into 6 equal parts. In the frame, the holes A, B and C are three corners of an equilateral triangle. Plank X is 120 cm long. What is the total length of Plank X, Plank Y and Plank Z?
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Level 3
Squares of sides 2 cm are arranged to create a pattern as shown.
- Find the number of squares needed for Figure 20.
- Find the area of Figure 10.
- Find the perimeter of Figure 40.
Level 3
Squares of sides 2 cm are arranged to create a pattern as shown.
- Find the number of squares needed for Figure 20.
- Find the area of Figure 10.
- Find the perimeter of Figure 40.
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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 PSLE Figure 1 shows a triangular card ABC with AC = CB. A number of such cards were arranged along the four sides of a rectangular board. Figure 2 shows part of the arrangement. A total of 28 pins were placed at an equal distance of 40 cm apart to hold the cards.
- Find the length of XY.
- Find the total area of the cards used.
Level 3 PSLE Figure 1 shows a triangular card ABC with AC = CB. A number of such cards were arranged along the four sides of a rectangular board. Figure 2 shows part of the arrangement. A total of 28 pins were placed at an equal distance of 40 cm apart to hold the cards.
- Find the length of XY.
- Find the total area of the cards used.
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Level 3
Trees were planted along each side of a square garden so that an equal number of trees are found along each side of the garden. If 40 trees were planted, how many trees were there along each side of the garden?
4 m
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Level 3
Trees were planted along each side of a triangle shaped garden so that an equal number of trees were found along each side of the garden. If there were 78 trees used, how many trees were there along each side of the garden?
4 m
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Level 3
A square garden has a side of 40 m. An equal number of trees were planted on each side of the square. Each tree is 8 m away from the next tree. One tree was already planted at points A, B, C and D of the square respectively. How many more trees must be planted?
Level 3
A square garden has a side of 40 m. An equal number of trees were planted on each side of the square. Each tree is 8 m away from the next tree. One tree was already planted at points A, B, C and D of the square respectively. How many more trees must be planted?
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Level 3
5 poles are placed along the breadth of a rectangular field. The space between 2 poles is 50 m. If 10 poles are placed along the length of the rectangular field in the similar way, what is the perimeter of the rectangle? Give the answer in meters.
Level 3
5 poles are placed along the breadth of a rectangular field. The space between 2 poles is 50 m. If 10 poles are placed along the length of the rectangular field in the similar way, what is the perimeter of the rectangle? Give the answer in meters.
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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.