Math Weekly For Term 3 Week 5

1	A list of 11 numbers has an average of 220. When 2 numbers are deleted from the list, the average of the remaining numbers is 211. What are the two numbers that have been deleted given that the difference between the two numbers is 1. [3]
2	The pupils in a class of 40 scored 75 marks on average in a Mathematics test. Later, it was discovered that the score of one of the pupils was wrongly recorded as 68. After correcting his score, the average score of the class increases to 75.5. What is the actual score of this pupil? [3]
3	The table below shows the output of a production line in a week. Day Mon Tue Wed Thu Fri Sat Average Output 89 74 6__ __8 81 85 79 Fill in the missing digit for both Wednesday and Thursday. [3]
4	Henry took four English tests in a year. His average score for the first two tests was 92 and his average score for all the four tests was 88. Given that Henry scored 12 more marks in the third test than the fourth test, what was his score for the third test? [3]
5	The table below shows Patrick’s scores for three subjects. Subject Score (100 each) English 7_ Mathematics 9_ Science 8_ Mother Tongue 93 Given that his average score for the four subjects is 86 marks, what is his lowest possible score for Science? [4]
6	A group of pupils calculated their average score for a Science test. They noted that: a) if any of them scored 13 marks more, their average score would be 90 b) if any of them scored 5 marks less, their average score would be 87 How many pupils are there in the group? [5]
7	In a mathematics competition with 100 participants, the average score was 63. Given that the average score of the boys was 60 and that of the girls was 70, find the number of boys and that of girls who participated in this competition. [5]