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
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
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
Level 3
Mr Tan wants to put all 27 boys and 72 girls into groups for an activity. There are more girls than boys in each group. Each group must have the same number of boys. Each group must also have the same number of girls.
  1. What is the greatest number of groups Mr Tan can form with these conditions?
  2. How many children are in each group?
4 m
Level 3
Becky filled a rectangular container which had a base area of 40 cm2 and a height of 25.2 cm with water. Then, she placed 8 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 1.6 cm.
  1. What was the length of each side of the metal cube?
  2. After Becky removed the metal cubes from the container, she poured all the water from the container to fill bottles of 0.35 ℓ. What was the maximum number of bottles she could fill?
5 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 3
Ms Ong and 3 parent volunteers took a class of 30 children to the Trick-Your-Eyes Museum. What was the minimum cost of all the tickets to be bought?
4 m
Level 3
Rica was saving money to buy pens. She saved $6 every 4 days. After saving for 28 days, she went to buy pens that were on sale.
  1. What was the most number of pens she could buy?
  2. Rica wanted to buy 38 pens. How much more did she need to save?
4 m