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Question 07 - AQA GCSE Higher Maths Past Paper 1 November 2021

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Question 21 - AQA GCSE Higher 2020 Past Paper 1 - Numbers, Rounding Numbers, Estimation, Significant Figures, Decimal Places, Ordering Decimals, Comparing Numbers Question By Topic

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Question 18 - Edexcel GCSE Foundation Maths Past Paper 1 June 2020

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Question 22 - AQA GCSE Foundation 2020 Past Paper 3 - Numbers, Rounding Numbers, Estimation, Significant Figures, Decimal Places Question By Topic

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Question 01 - AQA GCSE Foundation 2020 Past Paper 3 - Numbers, Rounding Numbers, Estimation, Significant Figures, Decimal Places Questions By Topic

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Question 04 - OCR GCSE Higher 2020 Past Paper 6 - Numbers, Surds, Percentages, Percentage Change, Rounding Numbers, Estimation, Significant Figures, Decimal Places, Algebra, Indices, Fractional Indices, Laws of Indices Questions By Topic

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Question 17 - Edexcel GCSE Higher 2020 Past Paper 2 - Geometry and Measures,Triangles Questions By Topic

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Question 11 - Edexcel GCSE Higher 2020 Past Paper 3 - Numbers, Arithmetic Word Problems, Rounding Numbers, Estimation, Significant Figures, Decimal Places, Standard Form Questions By Topic

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Question 03 - Edexcel GCSE Higher 2020 Past Paper 3 - Numbers,Limits of Accuracy,Error Intervals,Rounding Numbers, Estimation, Significant Figures, Decimal Places Questions By Topic

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Question 25 - OCR GCSE Foundation 2018 Past Paper 3 - Numbers, Estimation, Significant Figures, Decimal Places Questions By Topic

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Significant Figures - GCSE Mathematics - Revision and Examples

1. Significant Figures

Significant figures are also known as significant digits because they are established in the form of digits. Counting each value starting with the first non-zero digit on the left will reveal the number of meaningful digits. These figures are accurate and essential for indicating how much of a length, volume, mass, measurement, etc. there is.

1.1 Definition

The crucial or important digits that accurately represent the meaning of a certain number are known as the significant figures of that number. 

1.258, for instance, has four significant digits. These substantial figures provide the numbers accuracy. Additionally, they are known as significant digits.

1.2 Rules for Significant Figures

  • All non-zero digits are significant. 238745 contains six significant digits.
  • All zeros that occur between any two non zero digits are significant. For example, 107.0098 contains seven significant digits.
  • All zeros that are on the right of a decimal point and also to the left of a non-zero digit is never significant. For example, 0.00128 contained three significant digits.
  • All zeros that are on the right of a decimal point are significant, only if, a non-zero digit does not follow them. For example, 30.00 contains four significant digits.
  • All the zeros that are on the right of the last non-zero digit, after the decimal point, are significant. For example, 0.0085200 contains five significant digits.
  • All the zeros that are on the right of the last non-zero digit are significant if they come from a measurement. For example, 1040 m contains four significant digits.

1.3 Rounding to significant figures

In order to round to a given number of significant digits, we follow these steps:

  1. Locate the significant figure for the degree of accuracy required. The first non-zero digit is the first significant figure.
  2. Observe the next digit to the right. Is it 5 or more?
  3. If it is 5 or more - round up by adding 1 to the previous digit. If it is less than 5 - round down by keeping the previous digit the same. 
  4. If the degree of accuracy is 10 or more, fill in zeros to make the number the correct size.

Example: Write 72.347162 correct to 4 significant digits. 

Solution: The number 72.347162, rounded to 4 significant digits is 72.35

Example: Write 3758 correct to the nearest 1000.

Solution: 3758 correct to the nearest 1000 is 4000.

Example: Write 56.78 correct to one e significant figure.

Solution: 56.78 correct to one significant figure is 60.

Quiz

GCSE Topics

  • Statistical Measures (5)
  • Numbers (1,084)
  • Data Visualisation (4)
  • Algebra (1,176)
  • Ratio, Proportion and Rates of Change (443)
  • Geometry and Measures (809)
  • Statistics (274)
  • Probability (258)
  • Frequently Asked Questions
    What are the main topics in GCSE Maths?

    The main topics in GCSE Maths are:

    • Numbers
    • Algebra 
    • Ratio, Proportion and Rates of Change 
    • Geometry and Measures
    • Statistics 
    • Probability 
    • Statistical Measures 
    • Data Visualisation 

    With regular practice of GCSE Maths topic-wise questions and GCSE Maths past pacers, you can easily score high marks.

    Is GCSE Maths hard?

    Although many people think of GCSE maths as a difficult subject, with the correct training and preparation,you can master it in time. You can practice GCSE Maths  topic-wise questions daily to improve speed, accuracy, and time and to score high marks in the GCSE Maths exam.

    What is a good grade on GCSE Maths Exam?

    A grade of 4 or 5 would be considered "good" because the government has established a 4 as the passing grade; a grade of 5 is seen as a strong pass. Therefore, anything that exceeds this level would be considered good. You can practice GCSE Maths topic-wise questions to score good grades in the GCSE Maths exam.

    How can I get full marks in GCSE Maths?

    You can get a high score in GCSE Maths through meticulous practice of GCSE Maths topic-wise questions and GCSE Maths past papers.

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