Level 2
The average mass of 2 grapefruits and 5 jackfruits is 2.4 kg. The average mass of each jackfruit is 2 kg. The difference in mass between the 2 grapefruits is 90 g. Find the mass of the heavier grapefruit. (Give your answer in kg and g.)
3 m
Level 2
The average weight of 5 students is 42 kg. When the weights of Fred and Cody are included, the average weight becomes 46 kg. Cody is 6 kg lighter than Fred. What is Fred's weight?
3 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
The average of 12 numbers is 34. If 3 of the numbers are excluded, the average of the remaining numbers is reduced to 29. Find the sum of these 3 numbers.
3 m
Level 3
The average mass of a group of 12 children is 33 kg and the average mass of another group of 18 children is 36 kg. What is the average mass of the two groups of children?
3 m
Level 3
Bryan went on a tour with his wife and two children. An average of $799 was spent on each child while an average of $1081 was spent on each adult. On the whole, what was the average amount spent on each person for the trip?
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
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Level 3
The average height of a group of 6 girls is 137 cm. When Kathy and Nicole joined the group, the average height increased by 4 cm. What is Kathy and Nicole's total height?
3 m
Level 3
Five numbers were written on the whiteboard as shown:
  1. Write down the 3 numbers that will give an average of 51.
  2. After John wrote 2 -digit number on the same whiteboard, the new average of the six numbers became a multiple of 3. What was the largest possible 2-digit number written by John?
3 m
Level 3
The average mass of a group of girls was 37 kg. When Jamie, a girl, joined the group, the average mass of the group became 34 kg. If Jamie had a mass of 22 kg, how many girls were there in the group in the end?
3 m
Level 3
The average height of some boys is 145 cm. When 3 girls, with a total height of 393 cm, are included, the average height if the children becomes 142 cm. How many children are there altogether?
3 m
Level 3
Simon has some black and red balls. The total mass of all his balls is 242 g. He has 5 more red balls than black balls. The average mass of the black balls is 6 g. The average mass of the red balls is 10 g. How many balls does Simon have altogether?
3 m
Level 3
Kylie bought some Geography books at $17 each. She also bought an equal number of History books at a different price. The average price of one Geography and one History book was $10. Kylie paid $70 more for the Geography books than the History books.
  1. What was the cost of one History book?
  2. How many Geography books did Kylie buy?
3 m
Level 3
Linda and Melody's total mass is 51 kg. Melody and Nicole's total mass is 81 kg. Nicole is three times as heavy as Linda. What is the average mass of the three friends?
3 m
Level 3
The table shows the number of children per household in an estate. Calculate the average number of children per household.
3 m
Level 3
The table shows the number of sweets received by each child at a funfair. Calculate the average number of sweets received by each child.
3 m
Level 3
Mrs Anis measured and recorded the mass of Amanda, Bee Ling, Charles and Dai Ling. The average mass of these 4 children was 49 kg. The next day, Mrs Anis realized that she had recorded Amanda's mass wrongly. Amanda's recorded mass was 8 kg more than her actual mass. What was the correct average mass of the 4 children?
3 m
Level 3
The average mass of a group of girls is 45 kg. If one more girl who weighs 75 kg joins the group, the new average mass of the group will become 48 kg. Find the total number of girls in the group.
3 m
Level 3
The average number of pages Joan read in a certain number of days was 15. In the next four days, Joan read another 88 pages. As a result, the average number of pages she read increased to 17. How many days did Joan read in total?
3 m
Level 3
The average test score of a class was 60 marks. After two students who scored an average marks of 96 marks transferred out of the class, the average score of the remaining students became 58 marks. How many students were there in the class at first?
3 m