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Averages · Question 45 of 62

Question 45

EasyOriginal question

Joseph's batting average after 9 innings (out every time) is 38. How many runs must he score in his 10th innings (and get out) to raise his average to 40?

Options for question 45

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Runs so far = 9×38=3429 \times 38 = 342.

  2. Runs needed after 10 innings = 10×40=40010 \times 40 = 400.

  3. 10th innings score = 400−342=58400 - 342 = 58.

Worth noting

Shortcut: 40+9×2=5840 + 9 \times 2 = 58 (the new average plus 2 for each earlier innings). 38+9×2=5638 + 9 \times 2 = 56 starts from the old average.

Concept
Score needed in the next innings to lift the average
Typical time
40 s
Your time
—
The rule this testsChange in average
Practise this chapter →

Ten questions from Averages, at your own pace.

Practise this chapter →

Ten questions from Averages, at your own pace.