A carpenter cut four shelves for a built-in wardrobe he was fitting on site, checking the lengths carefully before screwing them into place. Their mean leng...

Assessment: Mathematics Specification A 4MA1 | Paper 2 Mock 01 | Written Paper 2 (2F/2H) Subject: Mathematics Specification A - 4MA1

Question 1 Report

A carpenter cut four shelves for a built-in wardrobe he was fitting on site, checking the lengths carefully before screwing them into place. Their mean length was 80 cm. Three of the shelves measured 75 cm, 85 cm and 78 cm.

  1. Work out the length of the fourth shelf. (2)

Answer Details

The mean relates the total length of all four shelves to the number of shelves, so the missing shelf length is found once the total is known.

Total length = \(4\times80=320\) cm. Sum of the three known shelves = \(75+85+78=238\) cm. Fourth shelf = \(320-238=82\) cm. [2 marks]

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