Level 3
In the diagram shown, 23 identical rubber balls were placed between two walls with equally spaced gaps between them. The first rubber ball and the last rubber ball were touching the front wall and last wall respectively. Given that the distance between the two walls was 399 cm and that the radius of a rubber ball was 7 cm. Find the length of the gap between any two adjacent rubber balls as shown.
Level 3
In the diagram shown, 23 identical rubber balls were placed between two walls with equally spaced gaps between them. The first rubber ball and the last rubber ball were touching the front wall and last wall respectively. Given that the distance between the two walls was 399 cm and that the radius of a rubber ball was 7 cm. Find the length of the gap between any two adjacent rubber balls as shown.
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Level 2 PSLE
The graph shows the fare a taxi company charges for the first 8 kilometres.
- How much is the taxi fare for the first kilometre?
- Zane paid $8 for his taxi ride. What was the distance he travelled?
- How much does the taxi company charge for every kilometre after 4 km of travel?
Level 2 PSLE
The graph shows the fare a taxi company charges for the first 8 kilometres.
- How much is the taxi fare for the first kilometre?
- Zane paid $8 for his taxi ride. What was the distance he travelled?
- How much does the taxi company charge for every kilometre after 4 km of travel?
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Level 3
The figure shows 4 identical circles in a square, WXYZ. The area of the square is 16 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 16 cm2. Find the area of the shaded part. (Take π = 3.14)
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Level 3
The perimeter of the rectangular base of a tank is 400 cm. The ratio of its length to its breadth is 3 : 2. When 48 ℓ of water are poured into the tank, 25 of it is filled. Find the height of the tank.
4 m
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Level 3 PSLE
LOPQ is a rectangular cardboard with LQ = 7 cm. Two quarter circles have been cut from it as shown. The remaining cardboard, which is the shaded part, has an area of 56 cm2. Using π = 227, find the length of MN.
Level 3 PSLE
LOPQ is a rectangular cardboard with LQ = 7 cm. Two quarter circles have been cut from it as shown. The remaining cardboard, which is the shaded part, has an area of 56 cm2. Using π = 227, find the length of MN.
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Level 3 PSLE
David has 8 large cubes and some small cubes. He placed them in a rectangular tank. The tank was filled to the brim exactly. The diagram shows the first layer of cubes.
- How many small cubes does David have?
- The volume of the tank is 504 cm3. If the large cubes took up 37 of the tank, What is the length of the edge of one small cube?
Level 3 PSLE
David has 8 large cubes and some small cubes. He placed them in a rectangular tank. The tank was filled to the brim exactly. The diagram shows the first layer of cubes.
- How many small cubes does David have?
- The volume of the tank is 504 cm3. If the large cubes took up 37 of the tank, What is the length of the edge of one small cube?
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Level 3
The figure, not drawn to scale, is made up of semicircles in a rectangle ABCD. XY is the
common baseline for all the semi-circles.
- Find the length of AB.
- Using the calculator π, find the perimeter of the shaded parts. Give the answer correct to 2 decimal places.
Level 3
The figure, not drawn to scale, is made up of semicircles in a rectangle ABCD. XY is the
common baseline for all the semi-circles.
- Find the length of AB.
- Using the calculator π, find the perimeter of the shaded parts. Give the answer correct to 2 decimal places.
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Level 3
The figure shows a rectangle with 2 identical semicircles and quadrants within It. The length of the rectangle is 10 cm. Find the area of the shaded part. (Take π = 3.14)
Level 3
The figure shows a rectangle with 2 identical semicircles and quadrants within It. The length of the rectangle is 10 cm. Find the area of the shaded part. (Take π = 3.14)
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Level 3
Each of the figure is made up of 2-cm sticks. The table shows the total length of sticks used for each figure and the perimeter of each figure.
- Complete the table for Figure 4 (i).
- Complete the table for Figure 4 (ii).
- Which figure number will have a perimeter of 2604 cm?
Level 3
Each of the figure is made up of 2-cm sticks. The table shows the total length of sticks used for each figure and the perimeter of each figure.
- Complete the table for Figure 4 (i).
- Complete the table for Figure 4 (ii).
- Which figure number will have a perimeter of 2604 cm?
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Level 3 PSLE
Andy used 3-cm rods to build some structures. The first five structures are shown.
The table shows the number of rods used for each structure and the height of
each structure.
- Find the value of a.
- Find the value of b.
- What was the height of Structure 119?
- How many rods were used to build Structure 119?
Level 3 PSLE
Andy used 3-cm rods to build some structures. The first five structures are shown.
The table shows the number of rods used for each structure and the height of
each structure.
- Find the value of a.
- Find the value of b.
- What was the height of Structure 119?
- How many rods were used to build Structure 119?
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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
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
The equilateral triangles are formed using 2 cm-sticks.
- How many sticks are needed to form pattern 5?
- In which pattern will each side of the triangle measure 32 cm?
- Calculate the number of shaded triangles in Pattern 100.
Level 3
The equilateral triangles are formed using 2 cm-sticks.
- How many sticks are needed to form pattern 5?
- In which pattern will each side of the triangle measure 32 cm?
- Calculate the number of shaded triangles in Pattern 100.
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Level 3
At 8 a.m., Shaira and Joana raced off together from the starting point of a trail. Shaira ran at an average speed of 3 m/s. Joana ran at an average speed of 4 m/s. Upon reaching the end of the trail, Joana rested for 5 minutes. She then immediately ran back along the same route at 4 m/s. At 8.40 a.m., Shaira met Joana.
- Find the total distance covered by the two runners when they met each other. Express the answer in km.
- Find the length of the trail in km.
4 m
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Level 3
The figure shows a square that is cut out from a big triangle. The area of the triangle and that of the square are whole numbers. Both the height and the base of the triangle are equal. If the shaded area is 73 cm
2, find
- The length of the square
- The base of the triangle
Level 3
The figure shows a square that is cut out from a big triangle. The area of the triangle and that of the square are whole numbers. Both the height and the base of the triangle are equal. If the shaded area is 73 cm
2, find
- The length of the square
- The base of the triangle
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Level 3
The figure, not drawn to scale, is made up of 2 identical squares, ABCD and WXYZ. The length of each square is 10 cm. Point W is the centre of square ABCD.
- What fraction of the figure is shaded?
- What is the area of the unshaded parts?
Level 3
The figure, not drawn to scale, is made up of 2 identical squares, ABCD and WXYZ. The length of each square is 10 cm. Point W is the centre of square ABCD.
- What fraction of the figure is shaded?
- What is the area of the unshaded parts?
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Level 3
The figure shows a rectangle WXYZ. The lines are extended from point W, X, Y and Z and they meet at point B. The length of YZ is 30 cm. Given that the area of triangle WBZ is 65 cm2 and the area of triangle XBY is 105 cm2, find the breadth of the rectangle in mixed number.
Level 3
The figure shows a rectangle WXYZ. The lines are extended from point W, X, Y and Z and they meet at point B. The length of YZ is 30 cm. Given that the area of triangle WBZ is 65 cm2 and the area of triangle XBY is 105 cm2, find the breadth of the rectangle in mixed number.
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Level 3
In the figure, ABCD is a parallelogram with length AD twice the length of AB. ADE is an equilateral triangle. F is a point on AE such that AF = FE. ∠BCD is 104°. Find ∠FBC .
Level 3
In the figure, ABCD is a parallelogram with length AD twice the length of AB. ADE is an equilateral triangle. F is a point on AE such that AF = FE. ∠BCD is 104°. Find ∠FBC .
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Level 2 PSLE The outline of the shaded figure is formed by 3 identical small quarter circles, 2 identical large quarter circles and 3 straight lines. Take π = 3.14
- What is the radius of the large quarter circle?
- Find the perimeter of the shaded figure.
Level 2 PSLE The outline of the shaded figure is formed by 3 identical small quarter circles, 2 identical large quarter circles and 3 straight lines. Take π = 3.14
- What is the radius of the large quarter circle?
- Find the perimeter of the shaded figure.
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Level 3 PSLE
A plot of land which had an area of 876 m
2 was divided into three portions of equal width. These portions were fenced using 177 m of fence as shown.
- Find the length of AB.
- Find the perimeter of the plot of land.
Level 3 PSLE
A plot of land which had an area of 876 m
2 was divided into three portions of equal width. These portions were fenced using 177 m of fence as shown.
- Find the length of AB.
- Find the perimeter of the plot of land.
Image in this question is not available.
