Level 3
Container A, measuring 25 cm by 12 cm by 21 cm, is filled with water to the brim. Container B is an empty rectangular container with a square base of edge 20 cm. After some water from Container A is poured into Container B, the height of water in the two containers is the same. Find the height of the water.
Level 3
Container A, measuring 25 cm by 12 cm by 21 cm, is filled with water to the brim. Container B is an empty rectangular container with a square base of edge 20 cm. After some water from Container A is poured into Container B, the height of water in the two containers is the same. Find the height of the water.
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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
A room has dimensions 252 cm by 125 cm. Tiles with dimension 20 cm by 12 cm were arranged on the floor. What is the maximum number of complete tiles that can be placed on the floor?
Level 3
A room has dimensions 252 cm by 125 cm. Tiles with dimension 20 cm by 12 cm were arranged on the floor. What is the maximum number of complete tiles that can be placed on the floor?
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Level 3
The figure shows 4 similar right-angled triangles arranged to form a big square which encloses a circle. The midpoints of the 4 sides of the big square touch the circumference of the circle. The two sides which form the right angle of each triangle are 16 cm and 12 cm respectively. Find the area of the shaded part. (Take π = 3.14)
Level 3
The figure shows 4 similar right-angled triangles arranged to form a big square which encloses a circle. The midpoints of the 4 sides of the big square touch the circumference of the circle. The two sides which form the right angle of each triangle are 16 cm and 12 cm respectively. Find the area of the shaded part. (Take π = 3.14)
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Level 3
Figure ABCD is made up of 3 identical rectangles and a square. The perimeter of the whole figure ABCD is 80 cm. What is the area of the figure ABCD?
Level 3
Figure ABCD is made up of 3 identical rectangles and a square. The perimeter of the whole figure ABCD is 80 cm. What is the area of the figure ABCD?
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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.)
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Level 3
The figure is not drawn to scale. MNOP is a square. JKLM is a parallelogram.
- Name the trapezium in the figure. Give your answer in letters in alphabetical order. (Eg ABCD)
- Find ∠JMP
Level 3
The figure is not drawn to scale. MNOP is a square. JKLM is a parallelogram.
- Name the trapezium in the figure. Give your answer in letters in alphabetical order. (Eg ABCD)
- Find ∠JMP
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Level 3
The figure is made up of a circle, a triangle and a square of sides 28 cm. E is the mid-point of AD. Find the area of the shaded region. (Take π = 227)
Level 3
The figure is made up of a circle, a triangle and a square of sides 28 cm. E is the mid-point of AD. Find the area of the shaded region. (Take π = 227)
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Level 3
The figure shows three identical squares ABCD, CEFG and CJIH. ∠DCE = 40° and ∠GCH = 27°. Find ∠x.
Level 3
The figure shows three identical squares ABCD, CEFG and CJIH. ∠DCE = 40° and ∠GCH = 27°. Find ∠x.
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Level 3
Willi noticed the patterns on the square tiles and tried to calculate the area of the shaded part. Leave the answer in 2 decimal places.
(Take π = 3.14)
Level 3
Willi noticed the patterns on the square tiles and tried to calculate the area of the shaded part. Leave the answer in 2 decimal places.
(Take π = 3.14)
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Level 3
The figure shows a circle with centre O and diameter, 14 cm. ABCD and OAEB are squares. Find the total area of the shaded portions of the figure. (Take π = 227)
Level 3
The figure shows a circle with centre O and diameter, 14 cm. ABCD and OAEB are squares. Find the total area of the shaded portions of the figure. (Take π = 227)
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Level 3
The figure is made up of semicircles, a square, ABDF, and a rectangle, BCEF. The length of the square, ABDF, is 20 cm. Find the area of the shaded figure. Leave the answer in terms of π .
Level 3
The figure is made up of semicircles, a square, ABDF, and a rectangle, BCEF. The length of the square, ABDF, is 20 cm. Find the area of the shaded figure. Leave the answer in terms of π .
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Level 3
Mr Tan owned a rectangular piece of land, ABCD, as shown in the figure. A path of width 3 m was tiled around the pool and the garden. The area of the square pool was 196 m2 and the area of rectangular garden was 308m2. Find the area of the piece of land.
Level 3
Mr Tan owned a rectangular piece of land, ABCD, as shown in the figure. A path of width 3 m was tiled around the pool and the garden. The area of the square pool was 196 m2 and the area of rectangular garden was 308m2. Find the area of the piece of land.
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Level 3
The figure is made up of a rectangle and a square. Find the area of the figure.
Level 3
The figure is made up of a rectangle and a square. Find the area of the figure.
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Level 3
The figure is made up of a quadrant, a square and a semicircle. The area of the square is 144 cm2. Find the area of the shaded parts. (Take π = 3.14)
Level 3
The figure is made up of a quadrant, a square and a semicircle. The area of the square is 144 cm2. Find the area of the shaded parts. (Take π = 3.14)
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Level 3
The figure consists of 2 squares of side 12 cm and 6 cm respectively. What is the area of the shaded triangle?
Level 3
The figure consists of 2 squares of side 12 cm and 6 cm respectively. What is the area of the shaded triangle?
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Level 3
ABFG and CDEF are squares. The area of CDEF is 121 cm2. Find the total shaded area in the figure.
Level 3
ABFG and CDEF are squares. The area of CDEF is 121 cm2. Find the total shaded area in the figure.
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Level 3
The figure shows a square plot of land that Mr Tan has. The perimeter of the square plot of land is 120 m. He wants to fence up the rectangular shaded area to grow vegetables. The price of fencing 1 m of land is $28. How much does Mr Lim need to pay for fencing the land?
Level 3
The figure shows a square plot of land that Mr Tan has. The perimeter of the square plot of land is 120 m. He wants to fence up the rectangular shaded area to grow vegetables. The price of fencing 1 m of land is $28. How much does Mr Lim need to pay for fencing the land?
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Level 3
Z x Z = 36
What is the value of Z + Z ?
3 m
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Level 3
The shape, not drawn to scale, is made up of a square and some triangles. Find the shaded area.
Level 3
The shape, not drawn to scale, is made up of a square and some triangles. Find the shaded area.
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