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
Level 3
The graph shows the number of books borrowed by visitors at the local library on a Monday.
  1. How many visitors visited the local library that Monday?
  2. What was the average number of books borrowed by each visitor that Monday? Give the answer to the nearest whole number.
4 m
Level 3
On 1 May to 4 May, an average of 50 waffles were sold and from 5 May to 9 May, an average of 24 waffles were sold. $240 worth of waffles were sold from 10 May to 20 May. Given that a waffle was sold for $2, find the average number of waffles sold from 1 May to 20 May.
4 m
Level 3
In a dance audition of 80 dancers, the average score was 58.5 points. Given that the average score of the female dancers was 64 points and that of the male dancers was 56 points, find the number of male dancers who participated in the audition.
4 m