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.
Level 3
56 students from Class K and Class L took a Mathematics test. The average marks of the students was 77 marks. The average marks of the students in Class K was 82 marks and the average marks of the students in Class L was 74 marks. How many students were there in Class K?
Level 3
Chris runs 100 metres for 5 times. The average time taken for his first three runs is 14.5 seconds. He aims to have an average timing of 12.8 seconds for his five runs.
What is the average time he needs to take for his 4th and 5th run in order to achieve his aim?
If he runs 3 seconds faster in one of the five runs, what would be his average time for the five runs?
Level 3
The average weekly number of soft toys produced by Factory X and Y is 3486. The average weekly number of soft toys produced by Factory X and Z is 6586. If Factory Y produced 27 as many soft toys as Factory Z each week, how many soft toys does Factory X produce weekly?
Level 3
Jane was attempting to read a book within a week. On Monday, she had read 37 of the book. By Friday, she had read another 60 pages and the ratio of the number of pages read to the total number of pages was 9 : 11. Find the average number of pages Jane should have read each day to complete the book in a week.