2026-08-29T08:11:09.781199 image/svg+xml Matplotlib v3.10.9, https://matplotlib.org/ © EAGLE BEACON GLOBAL A fuel depot stores diesel in four tanks, A, B, C...

Assessment: Mathematics Specification A 4MA1 | Paper 1 Mock 01 | Written Paper 1 (1F/1H) Subject: Mathematics Specification A - 4MA1

Question 1 Report

2026-08-29T08:11:09.781199 image/svg+xml Matplotlib v3.10.9, https://matplotlib.org/ © EAGLE BEACON GLOBAL

A fuel depot stores diesel in four tanks, A, B, C and D. The bar chart shows the amount of diesel, in litres, held in tanks A, B and C. Across all four tanks, the depot holds 6000 litres of diesel in total.

  1. Work out the amount of diesel held in tank D. (2)
  2. Simplify fully the fraction of the total diesel that is held in tank B. (2)

Answer Details

This question tests reading frequencies from a bar chart for three categories, using a stated grand total to find a missing fourth category, and simplifying a fraction of the total.

Part (a) [2] Reading the bars for tanks A, B and C gives \(1200, 1850\) and \(900\) litres, totalling \(1200+1850+900=3950\) litres. Since the depot holds \(6000\) litres in total across all four tanks, tank D holds \(6000-3950=2050\) litres.

Part (b) [2] Tank B's \(1850\) litres out of the \(6000\) litre total gives \(\frac{1850}{6000}\), which simplifies (dividing by 50) to \(\frac{37}{120}\).

Always simplify a fraction by the highest common factor you can spot; here \(1850\) and \(6000\) share a factor of \(50\), which reduces the fraction to \(\frac{37}{120}\) in one step rather than several smaller ones.

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