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Check your progress
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Round a signed decimal to a stated number of decimal places · Check your progress
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Round a nonzero number to a stated number of significant figures · Check your progress
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Estimate a four-operation calculation by rounding its inputs first · Check your progress
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Signed and rational calculations · Check your progress
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Order real numbers · Check your progress
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List the primes in a range · Check your progress
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Write a ratio part as a fraction of the whole · Check your progress
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Find a percentage increase or decrease · Check your progress
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Find an average rate over several stages · Check your progress
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Round a signed decimal to a stated number of decimal places · Check again
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Round a nonzero number to a stated number of significant figures · Check again
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Estimate a four-operation calculation by rounding its inputs first · Check again
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Signed and rational calculations · Check again
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Order real numbers · Check again
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List the primes in a range · Check again
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Write a ratio part as a fraction of the whole · Check again
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Find a percentage increase or decrease · Check again
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Find an average rate over several stages · Check again
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Retention check
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Round a signed decimal to a stated number of decimal places · Retention check
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Round a nonzero number to a stated number of significant figures · Retention check
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Estimate a four-operation calculation by rounding its inputs first · Retention check
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Signed and rational calculations · Retention check
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Order real numbers · Retention check
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List the primes in a range · Retention check
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Write a ratio part as a fraction of the whole · Retention check
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Find a percentage increase or decrease · Retention check
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Find an average rate over several stages · Retention check
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Practise: Round a signed decimal to a stated number of decimal places
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Practise: Round a nonzero number to a stated number of significant figures
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Practise: Estimate a four-operation calculation by rounding its inputs first
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Practise: Signed and rational calculations
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Practise: Order real numbers
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Practise: List the primes in a range
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Practise: Write a ratio part as a fraction of the whole
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Practise: Find a percentage increase or decrease
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Practise: Find an average rate over several stages
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Revision notes
Calculate with signed numbers, powers, ratios and percentages, then apply proportion, map scales and average rates in G1 Mathematics.
Key ideas
- Signed numbers and rational calculation
Use a number line and inverse operations to calculate with negative integers, fractions and decimals.
- Primes, squares, cubes and roots
Recognise primes and interpret calculator squares, cubes and roots before using the result.
- Rounding and estimation
Choose decimal places or significant figures and use a separate estimate to check a calculation.
- Integer powers and standard form
Separate a repeated-factor exponent from a multiplier and express a number with a valid standard-form coefficient.
- Ratios and equal shares
Use equal-sized ratio units to compare and share quantities with whole-number terms.
- Fractional ratios and common units
Rename every ratio term by the same multiplier and convert unlike units before comparing.
- Percentages and parts of a whole
Name the reference whole before converting or finding a percentage part.
- Reverse percentages and percentage change
Identify the original whole before finding it or measuring a change.
- Direct and inverse proportion
Identify a constant ratio or constant product and state the model assumptions.
- Map scales and area factors
Convert map lengths in common units and square a length factor for corresponding areas.
- Speed and average rates
Calculate totals before averaging rates and convert both the distance and time units.
Common mistakes
Mistake Multiplying always makes a quantity larger.
Correct idea Whether multiplying makes a positive number larger depends on what you multiply by: multiplying by a number greater than 1 makes it larger, by 1 keeps it the same, and by a number between 0 and 1, such as 0.5 or 1/4, makes it smaller. For example, 8 × 0.5 = 4.
From the G1 Mathematics 2027 syllabus
Show all 26 syllabus statements
- Negative numbers and primes (exclude prime factorisation)
- Integers and their four operations
- Four operations on fractions and decimals (including negative fractions and decimals)
- Calculations with calculator, including squares, cubes, square roots and cube roots
- Representation and ordering of numbers on the number line
- Use of <, >, ⩽, ⩾
- Approximation and estimation (including rounding off numbers to a required number of decimal places or significant figures and estimating the results of computation)
- Use of index notation for integer powers
- Use of standard form A × 10^n, where n is an integer, and 1 ⩽ A < 10
- Comparison between two or more quantities by ratio
- Dividing a quantity in a given ratio
- Ratios involving fractions and decimals
- Equivalent ratios
- Writing a ratio in its simplest form
- Map scales (distance and area)
- Direct and inverse proportion
- Expressing percentage as a fraction or decimal
- Finding the whole given a percentage part
- Expressing one quantity as a percentage of another
- Comparing two quantities by percentage
- Percentages greater than 100%
- Finding one quantity given the percentage and the other quantity
- Increasing/decreasing a quantity by a given percentage
- Finding percentage increase/decrease
- Rates and average rates (including the concepts of speed and average speed)
- Conversion of units (e.g. km/h to m/s)