11+ · Topic guide

Mental Arithmetic Paper 6

Mental Arithmetic Paper 6 continues this series of full timed mental arithmetic papers, testing the same core skills, the four operations, fractions, percentages, and time or money conversions, in the fast, no-calculator format used by GL Assessment and CEM/CSSE 11+ mental maths sections, with a fresh set of questions designed to keep recall automatic rather than memorised from an earlier paper.

Year 5-6 (11+)Maths and Numerical ReasoningGL AssessmentCEM

Before you start

Make sure you're comfortable with these topics first:

Method

  1. Before the paper starts, refresh the common fraction-to-percentage links you will need instantly, such as a half is 50%, a quarter is 25% and a tenth is 10%, so you do not have to work these out from scratch.
  2. Read or listen to the whole question once before calculating, since a mental arithmetic question is often two short steps chained together, and starting the wrong step wastes the time you have.
  3. Work out each step of a chained question in the order it is given, holding only the running total in your head rather than every earlier number.
  4. Where a question mentions 'of' an amount, decide immediately whether that means a fraction, a percentage or a straightforward multiplication, since misreading this is a common error.
  5. Keep your working to the fewest numbers possible, jotting only what you cannot hold in your head for the next step.
  6. If you are unsure of an answer, give your best mental estimate rather than leaving the space blank, then move straight on to the next question.

Worked example

A mental arithmetic question, read aloud once: 'Take 19 away from 50, then multiply the result by 3. What is your final answer?'

  1. Start with the subtraction: 50 - 19.
  2. 19 is close to 20, so subtract 20 from 50 to get 30, then add back the 1 that was over-subtracted: 30 + 1 = 31.
  3. Now multiply the result by 3: 31 x 3.
  4. 31 x 3 = 93.
  5. The final answer is 93.

Practice questions

Type your answer and press Check to be marked straight away, or reveal the answer and mark yourself.

Q1What is 6 less than 71?Show answer

Answer: 65

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Q2Multiply 9 by 7.Show answer

Answer: 63

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Q3What is a third of 45?Show answer

Answer: 15

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Q4Add 38 and 47.Show answer

Answer: 85

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Q5What is 8 times 4, plus 9?Show answer

Answer: 41

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Q6Divide 108 by 9.Show answer

Answer: 12

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Exam-style questions

Written in the style of a 11+ exam paper, with a full mark scheme.

Q1[1 mark]

This is question 2 of a mental arithmetic paper, read aloud once: 'Multiply 7 by 9, then subtract 8. What is your answer?'

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Q2[2 marks]

This is question 11 of a mental arithmetic paper, read aloud once: 'A baker makes 72 buns. She puts them equally onto 6 trays, then sells 5 buns from one tray. How many buns are left on that tray?'

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Q3[2 marks]

This is question 17 of a mental arithmetic paper, read aloud once: 'Find 25% of 48, then double your answer. What is your answer?'

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Free printable worksheet

Want more practice on paper? Download the mental arithmetic paper 6 worksheet pack - 9 pages of exam-style questions with a full mark scheme. One email opens every download in this browser for 14 days - no account, no card. Print it for personal and classroom use.

This topic is chapter 12 of 11+ Maths Workbook 1, the whole course as one free printable PDF.

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