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Number

Understanding numbers and number systems

15 TOPICS
01

Place Value and Large Numbers

Understand how each digit position changes a number from ones through to millions.

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02

Rounding and Estimating

Round whole numbers and use estimation to make calculations easier to check.

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03

Addition and Subtraction

Use efficient column methods to add and subtract large numbers accurately.

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04

Multiplication and Division

Build fluency with times tables, long multiplication and short division.

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05

Money and Decimals

Work confidently with pounds, pence, decimal notation, prices and change.

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06

Fractions of Quantities

Master equivalent fractions, mixed numbers and calculating fractions of amounts.

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07

Percentages

Convert between fractions, decimals and percentages, and calculate percentage amounts, increases and decreases.

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08

Ratio and Proportion

Compare quantities using ratios, simplify ratios, divide amounts in a given ratio, and solve proportion problems using the unitary method.

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09

Negative Numbers

Work confidently with negative numbers on a number line, in temperature problems, and in calculations.

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10

Prime Numbers and Prime Factors

Identify prime numbers, build factor trees, and use prime factorisation to find HCF and LCM.

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11

Square, Cube and Triangular Numbers

Recognise and use square numbers, cube numbers, square roots and triangular numbers.

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12

Powers, Roots and Roman Numerals

Understand and use powers (indices), square and cube roots, and convert numbers to and from Roman numerals.

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13

Divisibility Rules

Apply quick divisibility rules for 2, 3, 4, 5, 6, 8, 9 and 10 to test numbers without dividing.

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14

Order of Operations (BIDMAS)

Apply BIDMAS to evaluate expressions involving brackets, indices, multiplication, division, addition and subtraction.

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15

Consecutive and Special Numbers

Explore consecutive integers, sum of consecutive numbers, palindromic numbers, and perfect numbers.

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