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 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 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
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