Level 3
What is the maximum number of rectangles each measuring 3 cm by 2 cm that can be cut from a cardboard measuring 48 cm by 22 cm?
3 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
Mary visited a bakery where cheese tarts are sold in packages of 5 or 10. Packages of 5 are sold at $6.50 each and packages of 10 are sold at $12. What was the most number of cheese tarts could Mary buy with $285?
4 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
The table shows the prices of muffins at two shops. The muffins are only sold in sets of 6 muffins in Candy's Bakery or sets of 7 muffins in Dina's Bakery.
  1. Ann has $8.15. She wants to buy 14 muffins from Dina's Bakery. How much more money does she need to buy the 14 muffins?
  2. Zack has $97. He wants to buy the greatest possible number of muffins with his money from one of the two shops. What is the greatest possible number of muffins he can buy with his money?
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
A bookstore sells either one pen for $2 or in packs of 5 for $7. Pamela wants to buy exactly 33 pens with the smallest amount of money. How much does she have to pay for the 33 pens?
3 m
Level 3
Marilyn accidentally spilled ink onto her results slip. Her results were as follows:
  1. What could be the smallest possible difference between her Chinese and Mathematics results?
  2. What could be the largest possible difference between her Chinese and Mathematics results?
4 m
Level 3
Helen accidentally tore and threw away part of her receipt as shown. The average price of the three items was $76. What was the largest possible difference in prices between the power bank and the webcam if each item cost between $60 and $100?
4 m