Level
Fred had 12 as many erasers as Will. Will had 23 as many erasers as Rachel. After Fred and Rachel gave 12 erasers to Will, Will had four times as many erasers as Fred. Rachel then had the same number of erasers as Will.
  1. What was the ratio of the number of erasers Fred had to the number of erasers Rachel had in the beginning? Answer in simplest form.
  2. How many erasers did Will have in the end?
4 m
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Level 3
Thiru played 5 games of bowling. His scores for the first 4 games were 120, 105, 176 and 169 points respectively.
  1. Find his average score for the first 4 games.
  2. After his fifth game, his average score increased by 3.1 points. Find his score for his fifth game.
3 m
Level 3
Janet had some pencils, erasers and rulers. The ratio of the number of pencils to the number of erasers was 5 : 1. After giving away 16 erasers, the ratio of the number of rulers to the number of erasers was 4 : 1. Janet bought another 184 rulers. As a result, there were an equal number of pencils and rulers. How many erasers did she have at first?
4 m
Level 3
The following pattern is made up of shaded and unshaded squares.
  1. Find the values of (i), (ii) and (iii). Give your answers in the following format. (Eg 1, 2, 3)
  2. Find the number of unshaded squares for Figure 30.
  3. Find the number of shaded squares for Figure 30.
4 m
Level 3
A rectangular tank, measuring 30 cm by 25 cm by 40 cm, was filled with water. Ben poured all the water into 1.5 ℓ bottles. After filling 4 bottles, how many more bottles could Ben fill?
3 m
Level 3
Sally had a piece of wire 8 m long. She cut 8 pieces each measuring 12 m long from the original piece. The remainder was used to form a square. Find the area of the square.
3 m
Level 3
A container measuring 25 cm by 16 cm by 48 cm was 13 filled with water at first. James poured some water into the container. In the end, the height of the water level in the container was 20 cm as shown.
  1. How much water did James pour into container? Give your answer in mℓ.
  2. James then poured all the water in the container into several identical jugs. Given that each jug can hold at least 1.25 ℓ of water, what is the least number of jugs he would need?
3 m
Level 3
A list of 13 numbers has an average of 330. When two numbers are deleted from the list, the average of the remaining numbers is 313.
  1. What is the sum of 13 numbers?
  2. What is the bigger number between the two numbers that have been deleted given that the difference between the two numbers is 1?
3 m
Level 2
Mary bought some correction tapes and stickers for $43. She bought more correction tapes than pens and paid $15 for the additional correction tapes. If 1 correction tape and 1 pen cost $7, how many pens did she buy?
2 m
Level 2
The first page of the encyclopedia is labelled as page '1' and there are 366 pages. How many digits are used to number all the pages?
2 m