Level 3
A rectangular tank, measuring 20 cm by 12 cm by 15 cm, was completely filled with water. All the water was poured into identical cubical containers of side 8 cm. What was the least number of containers used?
3 m
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.
  1. What was the mass of dough needed for each biscuit?
  2. With the remaining dough from both girls, how many more such biscuits can be made at most?
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
The diagram shows a container made of some identical sections. Figure A shows one section of the container. When 5828 cm3 of water was poured into the container, find the water level in the container.
4 m
Level 3
How many pieces of square grass carpets, each of side 4 m long, are needed to cover a rectangular field of length 48 m and breadth 25 m?
3 m
Level 3
A flyer distributor earned $1.25 for every 100 flyers distributed. She was paid an additional bonus for $2 for every 1000 flyers given out. How much would she earn for distributing 2500 flyers?
4 m
Level 3
The diagrams show a rectangular cardboard X and a square Y.
Abel cut as many squares Y as he could from rectangular cardboard X.
The remaining part of the rectangular cardboard X is shown in Figure 1.
  1. What is the length of AB as shown in Figure 1?
  2. What is the greatest number of squares Y that Abe could cut from a rectangular cardboard X?
3 m
Level 3
What is the maximum number of squares of side 4 cm that can be cut from a rectangle measuring 81 cm by 74 cm?
3 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
Adrian wants to cut some 3-cm squares from a piece of rectangular paper shown. What is the greatest number of squares he can cut out?
3 m
Level 3
A shop gave a discount of $5 for every $20 spent. Mrs Tan bought a dress and paid $100 after the discount.
  1. What was the price of the dress before the discount?
  2. What was the amount that Mrs Tan saved?
3 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
One book costs $48 at a shop. During a sale, for every 3 books bought, the 4th book can be bought at a discount of 15% off the original price. How many books does Ron buy if he pays $1944 altogether?
4 m
Level 3
The advertisement shows the cost of buying pencils from a stationery kiosk.
  1. Hilda bought 29 pencils. How much did she pay?
  2. Howard bought 100 pencils. How much did he pay?
4 m
Level 3
During a sale, the discount given by Shop A and Shop B are as shown:
Shop A - Discount of $6 for every $30 spent
Shop B - 20% off Storewide


  1. Mary wants to buy a dress. The price of the dress before discount in both shops is $280. What is the savings that Mary makes if she buys at the shop that sells the same dress cheaper?
  2. Linda bought a belt and a handbag from Shop A and paid $168. What was the total cost of the belt and the handbag before the discount?
  3. The price of the same handbag after discount at Shop B is $38.40. Given that the price of the handbag before discount is the same in both shops, what is the percentage discount given to the handbag at Shop A? Round off the answer to 1 decimal place.
5 m
Level 2
        ÷ 7 = 28 R 2
What is the missing number?
2 m
Level 1
Divide 52 by 6. What is the remainder?
2 m
Level 3
A room has dimensions 252 cm by 125 cm. Tiles with dimension 20 cm by 12 cm were arranged on the floor. What is the maximum number of complete tiles that can be placed on the floor?
4 m
Level 1
What is the remainder when 779 is divided by 7?
2 m
Level 1
Divide 345 by 2. What are (a) the quotient and (b) the remainder?
2 m