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 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
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