Level 3
The figure is not drawn to scale. EFCH is a square. ABCD and CXYZ are similar rectangles which overlap to form ∠s. Given that ∠FCX = 37° and that ∠HCD = ∠BCH, find ∠s.
Level 3
The figure is not drawn to scale. EFCH is a square. ABCD and CXYZ are similar rectangles which overlap to form ∠s. Given that ∠FCX = 37° and that ∠HCD = ∠BCH, find ∠s.
Image in this question is not available.
Level 3
Find (a) the perimeter and (b) the area of the figure. (Take π = 227)
Level 3
Find (a) the perimeter and (b) the area of the figure. (Take π = 227)
Image in this question is not available.
Level 3
Tank A measuring 40 cm by 17 cm by 146 cm is filled with water. Tank B is with a square base of side 68 cm is empty. Water is poured from Tank A into Tank B until the water level in Tank B is twice the height of the water in Tank A. What is the height of the water level in Tank B?
Level 3
Tank A measuring 40 cm by 17 cm by 146 cm is filled with water. Tank B is with a square base of side 68 cm is empty. Water is poured from Tank A into Tank B until the water level in Tank B is twice the height of the water in Tank A. What is the height of the water level in Tank B?
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Level 3 PSLE
In the figure, the square LMNO is made up of two parts, X and Y. The part, X, is formed by a semicircle and the line LM. The perimeter of X is 36 cm and the perimeter of the shaded part, Y, is 64 cm.
- Find the perimeter of the square LMNO.
- Find the area of the shaded part Y. (Take π =227)
Level 3 PSLE
In the figure, the square LMNO is made up of two parts, X and Y. The part, X, is formed by a semicircle and the line LM. The perimeter of X is 36 cm and the perimeter of the shaded part, Y, is 64 cm.
- Find the perimeter of the square LMNO.
- Find the area of the shaded part Y. (Take π =227)
Image in this question is not available.
Level 3
The figure shown is formed by cutting out three identical quadrants from three identical squares. Find the area of the figure. (Take π = 227)
Level 3
The figure shown is formed by cutting out three identical quadrants from three identical squares. Find the area of the figure. (Take π = 227)
Image in this question is not available.
Level 3
The figure shows 4 identical circles in a square, WXYZ. The area of the square is 900 cm2. Find the area of the shaded part (Take π = 3.14)
Level 3
The figure shows 4 identical circles in a square, WXYZ. The area of the square is 900 cm2. Find the area of the shaded part (Take π = 3.14)
Image in this question is not available.
Level 3
In the figure, WXYZ is a square of side 20 cm with a semi-circle and 2 quadrants drawn in it. Find the difference in areas of the shaded regions A and B.
(Take π = 3.14)
Level 3
In the figure, WXYZ is a square of side 20 cm with a semi-circle and 2 quadrants drawn in it. Find the difference in areas of the shaded regions A and B.
(Take π = 3.14)
Image in this question is not available.
Level 3
Find (a) the perimeter and (b) the area of the figure.
(Take π = 227)
Level 3
Find (a) the perimeter and (b) the area of the figure.
(Take π = 227)
Image in this question is not available.
Level 3
- Find the perimeter of the shaded region. (Take π = 3.14)
- Find the unshaded area of this figure. (Take π = 3.14)
Level 3
- Find the perimeter of the shaded region. (Take π = 3.14)
- Find the unshaded area of this figure. (Take π = 3.14)
Image in this question is not available.
Level 3
The figure is made up of curved lines (arcs) of quadrants with radius of different lengths in a square of edge 6 cm. Find the total shaded area. (Take π = 3.14)
Level 3
The figure is made up of curved lines (arcs) of quadrants with radius of different lengths in a square of edge 6 cm. Find the total shaded area. (Take π = 3.14)
Image in this question is not available.
Level 3
The figure, not drawn to scale, is made up of Square A and Rectangles B and C. The area of Square A is 89 of the total area of Rectangles B and C. 14 of Square A is shaded. 14 of Rectangle B is shaded. 16 of Rectangle C is shaded. What fraction of the figure is shaded?
Level 3
The figure, not drawn to scale, is made up of Square A and Rectangles B and C. The area of Square A is 89 of the total area of Rectangles B and C. 14 of Square A is shaded. 14 of Rectangle B is shaded. 16 of Rectangle C is shaded. What fraction of the figure is shaded?
Image in this question is not available.
Level 3
WXYZ is a square of side 14 cm. The shaded area is 64 cm2. Calculate the total areas of A, B, C and D. (Take π = 227).
Level 3
WXYZ is a square of side 14 cm. The shaded area is 64 cm2. Calculate the total areas of A, B, C and D. (Take π = 227).
Image in this question is not available.
Level 3
The figure is made up of a circle, 4 identical semi-circles and a square of side 14 cm. O is the centre of the circle. What is the area of the shaded figure?. (Take π = 227)
Level 3
The figure is made up of a circle, 4 identical semi-circles and a square of side 14 cm. O is the centre of the circle. What is the area of the shaded figure?. (Take π = 227)
Image in this question is not available.
Level 3
The figure is made up of two identical squares, ABCD and WXYZ. The area of each square is 100 cm2. Point A is the centre of Square WXYZ. Find the unshaded area.
Level 3
The figure is made up of two identical squares, ABCD and WXYZ. The area of each square is 100 cm2. Point A is the centre of Square WXYZ. Find the unshaded area.
Image in this question is not available.
Level 3
A T-shaped block consists of 4 squares of 1 cm
2 each and the perimeter is 10 cm. Study the pattern with 1 block arranged to form 2 blocks and 3 blocks respectively.
- Find the perimeter of the pattern that consists of 20 blocks.
- If a pattern has a perimeter of 106 cm, find the number of squares that makes up the pattern.
Level 3
A T-shaped block consists of 4 squares of 1 cm
2 each and the perimeter is 10 cm. Study the pattern with 1 block arranged to form 2 blocks and 3 blocks respectively.
- Find the perimeter of the pattern that consists of 20 blocks.
- If a pattern has a perimeter of 106 cm, find the number of squares that makes up the pattern.
Image in this question is not available.
Level 3
The ratio of the number of biscuits in Container H to the number of biscuits in Container J was 5 : 3. 20% of the biscuits in Container H and 0.6 of those in Container J were round. After transferring the biscuits between the 2 containers, the number of square biscuits in both containers are the same. Likewise, the number of round biscuits in both containers are the same. If a total of 162 of biscuits were moved, how many more biscuits were there in Container H than Container J at first?
5 m
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Level 3 PSLE
Yasmin uses stars and circles to form figures that follow a pattern as shown.
- The table shows the number of stars and circles for the first four figures. Complete the table for Figure 5. List the answers in the following order using commas. (Eg i, ii, iii)
- A figure in the pattern has a total of 121 stars and circles. What is the figure number?
- Another figure in the pattern has 50 more stars than circles.
What is the total number of stars and circles in the figure?
Level 3 PSLE
Yasmin uses stars and circles to form figures that follow a pattern as shown.
- The table shows the number of stars and circles for the first four figures. Complete the table for Figure 5. List the answers in the following order using commas. (Eg i, ii, iii)
- A figure in the pattern has a total of 121 stars and circles. What is the figure number?
- Another figure in the pattern has 50 more stars than circles.
What is the total number of stars and circles in the figure?
Image in this question is not available.
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.
Image in this question is not available.
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?
Image in this question is not available.
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?
Image in this question is not available.
