Level 2
Kelvin bought some chocolate came in square pyramid packages as shown in the figure. Each pyramid had a square base area of 1 cm2 and a vertical height of 1 cm. He then packed the candies in a box measuring 6 cm by 4 cm by 7 cm. What was the maximum number of such candies he could pack into the box?
Level 2
Kelvin bought some chocolate came in square pyramid packages as shown in the figure. Each pyramid had a square base area of 1 cm2 and a vertical height of 1 cm. He then packed the candies in a box measuring 6 cm by 4 cm by 7 cm. What was the maximum number of such candies he could pack into the box?
Level 1 PSLE
A unit shape in the form of a right-angled triangle is drawn in the grid. Cindy forms a rectangle by joining two unit shapes as shown. In addition to the rectangle, Cindy wants to form a trapezium. This figure is to be formed with the smallest number of unit shapes. How many triangles are required to construct the smallest trapezium?
Level 1 PSLE
A unit shape in the form of a right-angled triangle is drawn in the grid. Cindy forms a rectangle by joining two unit shapes as shown. In addition to the rectangle, Cindy wants to form a trapezium. This figure is to be formed with the smallest number of unit shapes. How many triangles are required to construct the smallest trapezium?
Level 2 PSLE Sandra had a rectangular piece of paper, 40 cm by 23.5 cm. She cut out as many squares as possible from the paper. The side of each square was 5 cm.
Level 2
Andrew wants to make a square with rectangular tiles each measuring 8 cm by 6 cm. How many such rectangular tiles must he use to make the smallest possible square?
Level 2
Andrew wants to make a square with rectangular tiles each measuring 8 cm by 6 cm. How many such rectangular tiles must he use to make the smallest possible square?
Level 2 PSLE
One box of 15 apples cost $8 each. Three friends shared the cost of 60 apples in the ratio 1 : 2 : 5. What was the cost for the smallest share?
Level 2 PSLE
The average of four 3-digit numbers is 240. Two of the numbers are 190 and 230. What is the largest difference between the other two numbers?
Level 3 PSLE
A player has to play a total of five games in Round 1 of a competition. The scores for Barry's first four games are shown. Barry will qualify for Round 2 if his average score for four of the five games is 50 or more. What is the lowest score Barry must get in the 5the game to qualify for Round 2?
Level 3 PSLE
A player has to play a total of five games in Round 1 of a competition. The scores for Barry's first four games are shown. Barry will qualify for Round 2 if his average score for four of the five games is 50 or more. What is the lowest score Barry must get in the 5the game to qualify for Round 2?
Level 3 PSLE The number of boys and girls taking part in a quiz are in the ratio 4 : 7. These students are put into two groups. 60% of the boys and 30% of the girls are in Group 1. The rest of the students are in Group 2.
What is the ratio of the number of students in Group 2 to Group 1? Give your answer in the simplest form.
The number of boys in Group 2 is fewer than 50. What is the largest possible total number of students taking part in the quiz?
Level 3 PSLE
Mr Wong used 38 of his money to buy 8 apples and 12 peaches. The cost of 4 apples was the same as that of 2 peaches. What was the most number of peaches that Mr Wong could buy with the money he had left?
Level 3 PSLE
The figure shows two stacks of identical paper cups. There are 5 cups in the shorter stack and 11 cups in the longer one. The length of the shorter stack is 15 cm and the length of the longer stack is 27 cm. Alle wants to pack the paper cups as a single stack into a box 35 m long. What is the most number of cones he can pack into the box?
Level 3 PSLE
The figure shows two stacks of identical paper cups. There are 5 cups in the shorter stack and 11 cups in the longer one. The length of the shorter stack is 15 cm and the length of the longer stack is 27 cm. Alle wants to pack the paper cups as a single stack into a box 35 m long. What is the most number of cones he can pack into the box?
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?
Level 3 PSLE
Betty and Zhulian each had a plate of dough of the same mass for making biscuits. The same mass of dough was used for each biscuit. Betty made 40 biscuits and had 50 g of dough left. Zhulian made 10 biscuits and had 1.1 kg of dough left.
What was the mass of dough needed for each biscuit?
With the remaining dough from both girls, how many more such biscuits can be made at most?
Level 2 PSLE
The bar graph shows the number of coloured pens sold by a shop. The table shows the prices of the pens.
What fraction of the pens sold were black pens? Give the answer in the simplest form.
From the sale of the pens, which coloured pens collected the least amount of money? What was the amount? Give the answers in the following way. (Eg Green, $1)
Level 2 PSLE
The bar graph shows the number of coloured pens sold by a shop. The table shows the prices of the pens.
What fraction of the pens sold were black pens? Give the answer in the simplest form.
From the sale of the pens, which coloured pens collected the least amount of money? What was the amount? Give the answers in the following way. (Eg Green, $1)
Level 3
The figure is not drawn to scale. It shows the net of a solid. It is made up of 4 identical rectangles and 2 identical squares. Line A is 30 cm long and Line B is 15 cm long.
Find the volume of the solid.
This solid is a cardboard carton containing small boxes of sweets. Each box of sweets is 3 cm by 2 cm by 1 cm. If all these small boxes of sweets in the carton occupy more than 75% of the carton's volume, what is the minimum number of small boxes of sweets in the carton?
Level 3
The figure is not drawn to scale. It shows the net of a solid. It is made up of 4 identical rectangles and 2 identical squares. Line A is 30 cm long and Line B is 15 cm long.
Find the volume of the solid.
This solid is a cardboard carton containing small boxes of sweets. Each box of sweets is 3 cm by 2 cm by 1 cm. If all these small boxes of sweets in the carton occupy more than 75% of the carton's volume, what is the minimum number of small boxes of sweets in the carton?
