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.
  1. Find the volume of the solid.
  2. 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?
4 m
Level 2 PSLE
The bar graph shows the number of coloured pens sold by a shop. The table shows the prices of the pens.
  1. What fraction of the pens sold were black pens? Give the answer in the simplest form.
  2. 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)
4 m
Level 3 PSLE
A rectangular block A was cut along the dotted line into two smaller rectangular blocks of equal height, B and C, as shown. The volume of C is 1400 cm3 more than that of B.
  1. What is the height of each block?
  2. Pete packed 6 of block C such that they fit exactly into a box with a square base. The box has the same height as C. At most, how many of block B can be packed into such a box?
4 m
Level 3
A rectangular tank, 80 cm by 50 cm by 40 cm, is filled with water to a height of 5 cm. The ratio of the volume of water in the tank to that in a pail is 5: 2. If 23 of the pail is filled with water, find
  1. the volume of the pail.
  2. the minimum number of such pails to fill the tank.
4 m
Level 3 PSLE
A company offered 120 radios at 20% discount during a 7-day sale. The line graph shows the number of radios left unsold at the end of each day.
  1. On which day was the most number of radios sold? Give your answer in number. (Eg 1)
  2. What percentage of the 120 radios were sold in the first five days of the sale?
  3. During the sale, the discounted price of the radios was $60. After the sale, the remaining radios were sold without discount. What was the total amount of money collected from selling all 120 radios?
4 m
Level 3 PSLE
Three boys, Az, Ben and Ix had the same number of notes. Az and Ben each had of mix of $10-notes and $2-notes. Az had 7 $2-notes while Ben had 13 $2-notes. Ix had only $10-notes.
  1. Of the three boys, who had the most money?
  2. What was the difference in the total value of Az and Ben's notes?
  3. Ben used all his $10-notes to buy a present. He then had $164 less in notes than Ix. How many $10-notes did Ix have?
5 m
Level 3 PSLE
In a shop, candles are sold only in boxes. A box of 8 short candles costs $2.30 and a box of 5 long candles costs $3.70.
  1. Dan wants 17 short candles and 3 long candles for his lanterns. What is the least amount of money that Dan will need to spend on the candles?
  2. Zara bought 14 more long candles than short candles from the shop. The total number of candles she bought was fewer than 50. How much did Zara spend on the candles altogether?
5 m
Level 3
The figure shows a wooden cuboid that measures 125 cm by 20 cm by 20 cm.
  1. Find the maximum number of 3-cm cubes that can be cut from the wooden cuboid.
  2. Find the total surface area of the L-shaped block after cutting.
5 m
Level 3
The average points accumulated by 6 children is 91.5. They have all attained different points which are whole numbers. The lowest point is 70 while the highest point is 100.
  1. Find the average points achieved by the 4 children whose marks lie between the highest and the lowest.
  2. Find the smallest possible second lowest mark among these 6 children.
  3. Find the largest possible second lowest mark among these 6 children.
5 m
Level 3 PSLE
The figure shows a right-angled triangle.
  1. Find the area of the triangle.
  2. Bruce wants to cut such triangles from a rectangular piece of cardboard 50 cm by 80 cm. At most, how many of such triangles can he cut?
4 m
Level 3
On a rectangular plot, a horse is tied to a pole at a corner of the hut which measures 18 m by 6 m. The hut is at the centre of the rectangular grass patch and there is a 14 m wide border of grass patch around it. Given that the rope is 12 m long,
  1. what is the maximum grass patch area that the horse can feed on?
  2. find the total area of the grass patch that the horse cannot feed on. (Take π = 3.14)
4 m
Level 1
What is the smallest number possible when rounded off to the nearest 100 is 530000?
1 m
Level 1 PSLE
Some pens are only sold in packets of 5 pens. Each packet is sold at $8. Gary has $30. How many pens can he buy at most?
1 m
Level 1 PSLE
Cody packed 596 buttons into four cartons, labelled A, B, C and D. Carton A had the most number of buttons and Carton D had the least. The difference in the number of buttons between Carton A and the number of buttons in the other three cartons were 12, 36 and 64 respectively. How many buttons were there in Carton D?
2 m
Level 2 PSLE
Muffins are sold in boxes of 6, 12 or 24. Tom buys 66 muffins. What is the least number of boxes Tom buys?
2 m
Level 2 PSLE
Mrs Tan wanted to divide 72 boys and 60 girls equally into as many teams as possible. Each team had the same number of children. The number of girls in each team was the same. How many girls were there in each team?
2 m
Level 2 PSLE
Two numbers add up to 425. If one of them is a 2-digit number and the other is a 3-digit number, what is the largest possible difference between the two numbers?
2 m
Level 2 PSLE
First 5 muffins: $1 each
Additional muffins: 80¢ each.

Ken has $12. What is the greatest number of muffins he can buy?
2 m
Level 2 PSLE
A jar contains 10¢ and 50¢ coins. The total value of these coins is $3. What is the largest possible number of coins in the jar?
2 m
Level 2
A mini-bus can take either 12 adults or 15 children. There are 6 mini-buses altogether and there are 8 adults in each of the mini-buses. What is the maximum number of children the mini-buses can still take?
2 m