Level 2
Find the value of the square.
Level 2
Find the value of the square.
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Level 3
A series of patterns of shaded and unshaded small triangles is shown.
- Which pattern has 141 shaded triangles?
- Find the number of unshaded triangles in Pattern 40.
- Find the total number of triangles in Pattern 90.
Level 3
A series of patterns of shaded and unshaded small triangles is shown.
- Which pattern has 141 shaded triangles?
- Find the number of unshaded triangles in Pattern 40.
- Find the total number of triangles in Pattern 90.
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Level 3
Some patterns of shaded and unshaded small squares is shown. The unshaded squares are those which lie on the diagonals of the figure. By considering the number patterns,
- find the total number of squares in Figure 30,
- find the total number of shaded squares in Figure 50.
- what will be the figure number that will have 49 squares?
Level 3
Some patterns of shaded and unshaded small squares is shown. The unshaded squares are those which lie on the diagonals of the figure. By considering the number patterns,
- find the total number of squares in Figure 30,
- find the total number of shaded squares in Figure 50.
- what will be the figure number that will have 49 squares?
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Level 3
X and Y are identical squares. X overlaps Y partially as shown. What is the area of the shaded part?
Level 3
X and Y are identical squares. X overlaps Y partially as shown. What is the area of the shaded part?
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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
The figure shows 2 squares JKLM and NJPQ. ∠LJN = 114°.
- Name the line that is parallel with JP.
- Find ∠RJP.
- Find ∠JRQ.
Level 3
The figure shows 2 squares JKLM and NJPQ. ∠LJN = 114°.
- Name the line that is parallel with JP.
- Find ∠RJP.
- Find ∠JRQ.
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Level 3
The figure shows 2 squares ABCD and CEGF, and a rectangle HIJC. ∠DCF = 34° and ∠ECJ = 40°.
- Name the line that is perpendicular to FC.
- Find ∠BCH.
- Find ∠HKC.
Level 3
The figure shows 2 squares ABCD and CEGF, and a rectangle HIJC. ∠DCF = 34° and ∠ECJ = 40°.
- Name the line that is perpendicular to FC.
- Find ∠BCH.
- Find ∠HKC.
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Level 3
Two identical squares overlap each other to form the figure shown. A and B are the centres of squares X and Y respectively. What fraction of the figure is shaded?
Level 3
Two identical squares overlap each other to form the figure shown. A and B are the centres of squares X and Y respectively. What fraction of the figure is shaded?
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Level 3
A piece of paper had a length of 15 cm and breadth of 10 cm. Four identical squares with sides 2 cm were cut out from the corners as shown.
- What was the area of the paper before it was cut?
- What was the area of the paper after the four corners were cut?
Level 3
A piece of paper had a length of 15 cm and breadth of 10 cm. Four identical squares with sides 2 cm were cut out from the corners as shown.
- What was the area of the paper before it was cut?
- What was the area of the paper after the four corners were cut?
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Level 3
The figure shows an irregular 5-sided figure and a square. The area of the five-sided figure was three times the area of the square. After the shaded part was removed, the area of the remaining square became 15% of the total remaining area of both figures. If the area of the shaded part is 16 cm2, find the remaining area of the 5-sided figure.
Level 3
The figure shows an irregular 5-sided figure and a square. The area of the five-sided figure was three times the area of the square. After the shaded part was removed, the area of the remaining square became 15% of the total remaining area of both figures. If the area of the shaded part is 16 cm2, find the remaining area of the 5-sided figure.
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Level 3
The figure shows a piece of square paper ABCD folded at two of its corners A and C. ∠AED is 3 times as large as ∠ADE and ∠CDF is 6° smaller than ∠ADE. Find ∠ADC.
Level 3
The figure shows a piece of square paper ABCD folded at two of its corners A and C. ∠AED is 3 times as large as ∠ADE and ∠CDF is 6° smaller than ∠ADE. Find ∠ADC.
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Level 3
Adam used 4 similar rectangular strips to form a square. If the perimeter of the square is 64 cm, what is the perimeter of a rectangular strip of paper?
Level 3
Adam used 4 similar rectangular strips to form a square. If the perimeter of the square is 64 cm, what is the perimeter of a rectangular strip of paper?
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Level 3
Stanley used 3 similar rectangles and 2 similar squares to make the figure shown (not drawn to scale).
- Find the area of A.
- Find the area of the figure.
Level 3
Stanley used 3 similar rectangles and 2 similar squares to make the figure shown (not drawn to scale).
- Find the area of A.
- Find the area of the figure.
Image in this question is not available.
Level 3
1-cm square tiles and triangular tiles were used to make some figures. The area of each triangular tile was half that of a square tile. The first four figures are shown.
- Find the area of Figure 5.
- How many squares were used to make a figure with an area of
180.5 cm2?
Level 3
1-cm square tiles and triangular tiles were used to make some figures. The area of each triangular tile was half that of a square tile. The first four figures are shown.
- Find the area of Figure 5.
- How many squares were used to make a figure with an area of
180.5 cm2?
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Level 3
The figure is made up of 8 identical 3 cm squares and 2 identical rectangles. Find the area of the shaded rectangle.
Level 3
The figure is made up of 8 identical 3 cm squares and 2 identical rectangles. Find the area of the shaded rectangle.
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Level 3
The three diagrams show the highest number of intersections obtained from 2, 3 and 4 lines respectively.
- What is the highest number of segments for 10 straight lines?
- What is the maximum number of intersections obtained from 30 straight lines?
- What is the maximum number of regions obtained by using 40 straight lines?
Level 3
The three diagrams show the highest number of intersections obtained from 2, 3 and 4 lines respectively.
- What is the highest number of segments for 10 straight lines?
- What is the maximum number of intersections obtained from 30 straight lines?
- What is the maximum number of regions obtained by using 40 straight lines?
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Level 3
The figure is made up of 5 identical squares. The total area of the figure is 80 cm2. Find its perimeter.
Level 3
The figure is made up of 5 identical squares. The total area of the figure is 80 cm2. Find its perimeter.
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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
The figure is made up of 3 identical squares and a rectangle. The area of each square is 64 cm2. The breadth of the rectangle is 5 cm. Find the perimeter of the figure.
Level 3
The figure is made up of 3 identical squares and a rectangle. The area of each square is 64 cm2. The breadth of the rectangle is 5 cm. Find the perimeter of the figure.
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Level 3
The figure is made up of 3 rectangles A, B and C and square D. Rectangle A and Rectangle B are identical. Rectangle A has a breadth of 11 cm. The area of Square D is 81 cm2. What is the perimeter of Rectangle C?
Level 3
The figure is made up of 3 rectangles A, B and C and square D. Rectangle A and Rectangle B are identical. Rectangle A has a breadth of 11 cm. The area of Square D is 81 cm2. What is the perimeter of Rectangle C?
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