Average and Integer Word Problems

1) Which of the following setups would be used to find four consecutive integers?

• n

  n+2

  n+4

  n+6

• n

  2n

  4n

  6n

• n+1

  n+2

  n+3

  n+4

• n

  n+1

  n+2

  n+3

2) Find three consecutive integers such that the sum of the largest and 5 times the smallest is -244. Find the smallest integer.

• -41

• -40

• -39

• -43

3) The sum of two consecutive integers is 123. What is the smallest of the two integers?

• 60

• 61

• 62

• 63

4) The sum of 4 consecutive integers is 182. What is the largest number in the group?

• 46

• 47

• 176

• 44

5) The sum of three consecutive even integers is 618. What is the largest number in the group?

• 207

• 204

• 206

• 208

6) Which expressions can be used to represent the sum of 3 consecutive odd integers?

• n+1, n+2, n+3

• n, n+1, n+3

• n, n+1, n+2

• n, n+2, n+4

7) The sum of three consecutive odd numbers is 597. What is the smallest number in the group?

• 198

• 199

• 197

• 196

8) Paulo got these markers in three tests: 72, 80 and 82. He had one more test to sit. He wanted an average of 80 for the four tests. What mark must he get in the fourth test?

• 78

• 80

• 84

• 86

9) A cricketer has scored 58, 54, and 64 points in the first three innings. He wants his average score for the first four innings to be a 61. What does he need to score in the 4th inning?

• 72

• 58

• 68

• 89

10) Daniel’s grades for the first three tests in a year was 73, 56, and 83. He worked very hard for the last test in that year to improve his average mark to 75. How many marks did he score for the last test to achieve this?

• 78

• 79

• 87

• 88