Level 3
4 straws are needed to form 1 square. 7 straws are needed to form 2 squares. 10 straws are needed to form 3 squares. How many straws are needed to form 5 squares?
4 m
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Level 3
The figure shows a rectangular container with a square base of area 16 cm
2. The area of the shaded face is 36 cm
2.
- What is the height of the container?
- James filled a third of the container with water. Find the volume of the water.
Level 3
The figure shows a rectangular container with a square base of area 16 cm
2. The area of the shaded face is 36 cm
2.
- What is the height of the container?
- James filled a third of the container with water. Find the volume of the water.
Image in this question is not available.
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
- the perimeter of the figure,
- the area of the remaining figure.
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
- the perimeter of the figure,
- the area of the remaining figure.
Image in this question is not available.
Level 3
Study the table carefully.
- How many dots are there in Figure 5?
- How many dots are there in Figure 10?
- If there are 36 dots, what is the figure number?
Level 3
Study the table carefully.
- How many dots are there in Figure 5?
- How many dots are there in Figure 10?
- If there are 36 dots, what is the figure number?
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Level 3
The following tank has a square base of side 40 cm. It is filled with water to a height of 8 cm. If 32 ℓ more of water is needed to fill the tank completely, what is the height of the tank?
Level 3
The following tank has a square base of side 40 cm. It is filled with water to a height of 8 cm. If 32 ℓ more of water is needed to fill the tank completely, what is the height of the tank?
Image in this question is not available.
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
- the perimeter of the figure,
- the area of the remaining figure.
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
- the perimeter of the figure,
- the area of the remaining figure.
Image in this question is not available.
Level 3
Darryl was drawing a pyramid-like structure as shown. It consists of shaded and unshaded rectangles. The rest of the structure follows the same pattern.
- How many shaded rectangles are there in Row 9?
- In which row would there be 37 rectangles?
- Darryl had drawn a total of 144 rectangles. How many shaded rectangles were there in the drawing?
Level 3
Darryl was drawing a pyramid-like structure as shown. It consists of shaded and unshaded rectangles. The rest of the structure follows the same pattern.
- How many shaded rectangles are there in Row 9?
- In which row would there be 37 rectangles?
- Darryl had drawn a total of 144 rectangles. How many shaded rectangles were there in the drawing?
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Level 3 PSLE
Table 1 consists of numbers from 1 to 72. Kenny and Lionel are given a plastic frame that covers exactly 9 squares of Table 1 with the centre square covered.
- Kenny puts the frame on the 9 squares shown in Figure 1. What is the average of the 8 numbers that can be seen in the frame?
- Lionel puts the frame on some other 9 squares. The sum of the 8 numbers that can be seen in the frame is 320. What is the smallest number that can be seen in the frame?
Level 3 PSLE
Table 1 consists of numbers from 1 to 72. Kenny and Lionel are given a plastic frame that covers exactly 9 squares of Table 1 with the centre square covered.
- Kenny puts the frame on the 9 squares shown in Figure 1. What is the average of the 8 numbers that can be seen in the frame?
- Lionel puts the frame on some other 9 squares. The sum of the 8 numbers that can be seen in the frame is 320. What is the smallest number that can be seen in the frame?
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Level 3
The figure shows a rectangle of breadth 10 cm and 4 similar squares of side 4 cm. The area of the shaded part is 286 cm
2.
- What is the length of the rectangle?
- What is the perimeter of the rectangle?
Level 3
The figure shows a rectangle of breadth 10 cm and 4 similar squares of side 4 cm. The area of the shaded part is 286 cm
2.
- What is the length of the rectangle?
- What is the perimeter of the rectangle?
Image in this question is not available.
Level 3
Find the missing numbers.
The sum of the 3 numbers across the square is 12. The sum of the 3 numbers down the square is also 12.
- A
- B
- C
- D
Level 3
Find the missing numbers.
The sum of the 3 numbers across the square is 12. The sum of the 3 numbers down the square is also 12.
- A
- B
- C
- D
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Level 3
The patterns are made up of identical shaded and identical unshaded squares.
- Find the total number of squares in Pattern 4.
- Find the number of unshaded squares in Pattern 4.
- Which Pattern Number has a total of 100 squares?
Level 3
The patterns are made up of identical shaded and identical unshaded squares.
- Find the total number of squares in Pattern 4.
- Find the number of unshaded squares in Pattern 4.
- Which Pattern Number has a total of 100 squares?
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Level 3
Study the pattern. Each figure is made up of identical squares.
- What fraction of Figure 1 is shaded? Express your answer in the simplest form.
- What is the number of shaded squares in Figure 4?
- What is the number of unshaded squares in Figure 8?
Level 3
Study the pattern. Each figure is made up of identical squares.
- What fraction of Figure 1 is shaded? Express your answer in the simplest form.
- What is the number of shaded squares in Figure 4?
- What is the number of unshaded squares in Figure 8?
Image in this question is not available.
Level 3
The square on the right has the same perimeter as the rectangle on the left. Find the area of the square.
Level 3
The square on the right has the same perimeter as the rectangle on the left. Find the area of the square.
Image in this question is not available.
Level 3 A tank with a square base of 10 cm was
13 filled with water After another 4500 cm
3 of water was poured into the tank, it became
34 full.
- Find the capacity of the tank in litres.
- Find the final height of the water in the tank.
Level 3 A tank with a square base of 10 cm was
13 filled with water After another 4500 cm
3 of water was poured into the tank, it became
34 full.
- Find the capacity of the tank in litres.
- Find the final height of the water in the tank.
Image in this question is not available.
Level 3
Figure A is a square with a perimeter of 56 cm. Figure B is a rectangle with breadth of 7 cm. Given that both figures have the same area, find the perimeter of Figure B.
Level 3
Figure A is a square with a perimeter of 56 cm. Figure B is a rectangle with breadth of 7 cm. Given that both figures have the same area, find the perimeter of Figure B.
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Level 3
ABCD is a square. QPC and BPD are straight lines. BA = BQ and ∠PBQ = 13°. Find
- ∠BAQ
- ∠DCQ
.
Level 3
ABCD is a square. QPC and BPD are straight lines. BA = BQ and ∠PBQ = 13°. Find
- ∠BAQ
- ∠DCQ
.
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Level 3
The same amount of paint can be used to paint either a square (Figure A) or a rectangle (Figure B). Figure A has a perimeter of 64 cm while Figure B has a breadth of 8 cm. Find the perimeter of Figure B.
Level 3
The same amount of paint can be used to paint either a square (Figure A) or a rectangle (Figure B). Figure A has a perimeter of 64 cm while Figure B has a breadth of 8 cm. Find the perimeter of Figure B.
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Level 3
The figure is made up of a square and a rectangle. The side of the square is 9 cm. The perimeter of the figure is 108 cm. What is the length of the rectangle?
Level 3
The figure is made up of a square and a rectangle. The side of the square is 9 cm. The perimeter of the figure is 108 cm. What is the length of the rectangle?
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Level 3 PSLE
In the figure, WXZV is a square, XY = XW and XYZ is an equilateral triangle. Find ∠YWZ.
Level 3 PSLE
In the figure, WXZV is a square, XY = XW and XYZ is an equilateral triangle. Find ∠YWZ.
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Level 3
In the figure, ABDC is a square and QM = QP = QN. Given that RP = PS, RPN = 50° and MN is parallel to AB and it is perpendicular to PQ. Find ∠RPS.
Level 3
In the figure, ABDC is a square and QM = QP = QN. Given that RP = PS, RPN = 50° and MN is parallel to AB and it is perpendicular to PQ. Find ∠RPS.
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