ESAT Maths 1 · free worked solution

ESAT Maths 1 combined mean: compare totals

Mean solution: turn each mean into a total, subtract the first group, and get 20.

Combined meansSpecification M6.3Reviewed 5 August 2026

Answer first

Option E

The correct answer is

2020

A mean hides a total; multiply each mean by its group size before comparing the groups.

This is original UniGenius practice material from the reviewed Maths 1 bank. It is not an official UAT-UK question, past paper, or recalled question.

The question

Read the setup, then choose the shortest valid route

The mean of 1212 readings is 1414. The mean of the first 88 readings is 1111. What is the mean of the remaining 44 readings?

  • A33
  • B1111
  • C1414
  • D1717
  • E2020Answer

Worked solution

The route in 4 steps

  1. The total of all 1212 readings is 12×14=16812 \times 14 = 168.

  2. The total of the first 88 readings is 8×11=888 \times 11 = 88.

  3. The remaining 44 readings have total 16888=80168 - 88 = 80.

  4. Their mean is 80/4=2080/4 = 20.

Next action

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