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
Level 3
The length of a rectangular table top is 215 m. Its breadth is 57 of its length. 14 of the table top is painted. What is the area of the table top that is painted? Give your answer as a mixed number in its simplest form.
3 m
Level 3
Emma and Peter had a total of $47. After Emma spent 37 of her money and Peter spent $2, the ratio of Emma's money to Kenneth's money became 1 : 2. How much money had Peter at first?
4 m
Level 2
Tim was paid $0.12 for each egg he collected. If he broke the egg, $0.03 would be deducted from his pay. In one morning, he earned $24.57. For every 10 good eggs he collected, he broke 1 egg. How many eggs did he collect altogether that morning?
3 m
Level 3
The length of the Rectangle VWXY is 10 13 m. Its breadth is 2 15 m shorter than its length. Find the perimeter of Rectangle VWXY in metres. Express your answer as a mixed number in its simplest form.
3 m
Level 3
The table shows the prices of some seafood items in a local wet market. Ashley bought 1 kg of fish and 1 kg of prawns. How much did she pay for her purchases?
3 m
Level 3
Mary had a ribbon 23 m long. She cut off 19 m of the ribbon from each end and the remaining ribbon into shorter pieces each 118 m long.
  1. Find the length of the remaining ribbon after 19 m had been cut from each end.
  2. How many 118 m long pieces of ribbon did she get?
3 m
Level 2
Zandro used a calculator to divide a 4-digit number by a 1-digit number. For the 1-digit number, he made a mistake by pressing 6 instead of 5. He obtained the incorrect answer of 560. What should be the correct answer?
2 m
Level 3
Madam Lee bought a sack of rice on Monday and cooked 112 kg of rice everyday. By Sunday, she was 12 kg short of rice. On which day did she cook 35 of the rice in the sack?
3 m
Level 3
The first four figures of a pattern as shown.

The table shows the number of circles and squares used in each figure.
  1. Find the values of (i) and (ii). Give your answers in the following format. (Eg 1, 2)
  2. How many circles are there in Figure 39?
  3. How many squares are there in Figure 60?
4 m
Level 3
The ratio of the number of $2-notes to $10-notes in Dana's bag was 1 : 3. Dana exchanged 14 pieces of $10-notes for $2-notes. She then had an equal number of $2-notes and $10-notes. What was the total value of $2-notes and $10-notes in Dana's bag at first?
4 m