Level 3
The average amount of money collected by a group of students at a flag day event was $125. When another 15 students turned up to help, the total amount donated increased by $1275 and the average amount of money collected became $113. How many students were there in the group at first?
3 m
Level 3
The average test score of a group of pupils was 57 marks. After 4 pupils who scored an average of 69 marks joined the group, the average score of all the pupils became 61 marks. How many pupils were there in the group at first?
3 m
Level 3
The average test score of a group of students was 71 marks. After five students who scored an average of 79 marks left the group, the average score of the group became 69 marks. How many students were there at first?
3 m
Level 3
In a class, 9 girls jumped an average of 1.37 m for their standing broad jump in their fitness test. The boys in the same class jumped an average of 1.65 m in the same test. The total average of the whole class was 1.56 m. How many boys were there?
3 m
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Level 3
The average height of a group of boys was 143 cm. After 6 girls with a total of 948 cm joined the group, the average height of all the children increased to 146 cm.
  1. What was the average height of the girls?
  2. How many boys were there in the group?
3 m
Level 3
Lizzy bought some souvenirs for her friends at an average price of $12.50. If Lizzy decided to buy a pen which cost $16 for her father and a bag which cost $35 for her mother, the average price of the souvenirs would become $15.75. How many souvenirs did Lizzy buy for her friends?
3 m
Level 3
The average rainfall for the months of January to May was 155 mm. Each month from January to May, the rainfall was 1 mm more than the month before it. What was the rainfall in January?
3 m
Level 3
The total number of fish fingers produced by Machine B and Machine C was 332. The total number of fish fingers produced by Machine B and Machine D was 327. The total number of fish fingers produced by Machine C and Machine D was 367. Find the average number of fish fingers produced by 3 machines.
3 m
Level 3
Lina, Ron, Evelyn and Henry share the same hobby of collecting stamps. The average number of stamps collected by the 4 friends is 25. Ron collected 8 more stamps than Evelyn but 15 fewer stamps than Lina. Henry collected 3 stamps fewer than Evelyn. Find the average number of stamps collected by Ron, Evelyn and Henry. Round off the answer to the nearest whole number.
4 m
Level 3
The average length of 5 pieces of ribbon was 120 cm. When 2 pieces of ribbons were used, the average length of the remaining pieces of ribbons became 114 cm. What was the average length of the 2 pieces of ribbons used?
4 m
Level 3
40 children in a class sold an average of 19 artworks for charity. There were 8 more boys than girls in the class. The average number of artworks sold by the boys was 15. Find the average number of artworks sold by the girls.
4 m
Level 3
The average number of cards Jeryl and Ronnie had was 105. The average number of cards Jeryl and Daryl was 67.5. Given that the ratio of the number of cards Ronnie had to the number of cards Daryl had was 5 : 2, find the number of cards Jeryl had.
4 m
Level 3
Sam, Martin, Aden and Ron participated in a Chinese quiz. The average number of points scored by Sam and Martin was 77. The average number of points scored by Martin and Ron was 71.5. The average number of points scored by Sam, Martin and Ron was 73. The average number of points scored by Aden and Ron was 69. How many points did each of them score?
  1. Ron?
  2. Sam?
  3. Martin?
  4. Aden?
4 m
Level 3
The average number of questions Daniel and Callie solved was 203. The average number of questions Callie and Evelyn solved was 194. The average number of questions Evelyn and Daniel solved was 181. How many questions did each of them solve?
  1. Callie?
  2. Daniel?
  3. Evelyn?
4 m
Level 3
Class A, B and C were given some chocolate bars to sell for their fundraising event. The average number of chocolate bars the 3 classes had at first was 225. After Class B sold twice as many chocolate bars as Class A and Class C sold 34 as many chocolate bars as Class B, the average number of chocolate bars the 3 classes had left was 45. How many chocolate bars did Class A and Class C sell altogether?
4 m
Level 3
The average number of playing cards Brendon and Ricky had was 450. The average number of playing cards Brendon and Jonas had was 240. If the ratio of Ricky's playing cards to Jonas's playing cards was 5 : 2, find the number of playing cards Brendon had.
4 m
Level 3
There are 80 participants in a competition. The average score of each participant is 49.5. The average score of the female participants is 57 and the average score of the male participants is 47.
  1. What is the total score of the 80 participants?
  2. How many female participants are there in the competition?
4 m
Level 3
After an examination, Harish and his friends calculated their average score. They figured that if Harish could get 13 marks more, they would have an average of 90. However, if Harish's results were 5 marks less, their average would become 87. How many friends did Harish have?
4 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