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Year 10

Real numbers and indices

Choose a subtopic, explore its examples and practise with feedback.

Choose a subtopic.

Explore real numbers and indices for Year 10. Each subtopic has sample questions and worked answers; choose the skill you want to practise.

01

Factors, prime powers and common multiples

Optional enrichment: Factors, prime powers and common multiples

Examples, answers and practice
02

Divisor counts and HCF/LCM relationships

Optional enrichment: Divisor counts and HCF/LCM relationships

Examples, answers and practice
03

Perfect powers, divisibility and constrained prime factors

Optional enrichment: Perfect powers, divisibility and constrained prime factors

Examples, answers and practice
04

Perfect powers, divisibility and constrained prime factors

Optional enrichment: Perfect powers, divisibility and constrained prime factors

Examples, answers and practice
05

Compare feasible pack purchases and reconstruct whole-number quantities

Compare feasible pack purchases and reconstruct whole-number quantities

Examples, answers and practice
06

Remaining fractions, rates, recurring decimals and rational relationships

Optional enrichment: Remaining fractions, rates, recurring decimals and rational relationships

Examples, answers and practice
07

Remaining fractions, rates, recurring decimals and rational relationships

Optional enrichment: Remaining fractions, rates, recurring decimals and rational relationships

Examples, answers and practice
08

Exact versus rounded totals and reversing a mixture transfer

Exact versus rounded totals and reversing a mixture transfer

Examples, answers and practice
09

Integer bounds, absolute values and signed relationships

Optional enrichment: Integer bounds, absolute values and signed relationships

Examples, answers and practice
10

Integer bounds, absolute values and signed relationships

Optional enrichment: Integer bounds, absolute values and signed relationships

Examples, answers and practice
11

Integer bounds, absolute values and signed relationships

Optional enrichment: Integer bounds, absolute values and signed relationships

Examples, answers and practice
12

Whole-day financial thresholds and reconstructing signed scores

Whole-day financial thresholds and reconstructing signed scores

Examples, answers and practice
13

Fractional indices, conjugates and exact surd relationships

Optional enrichment: Fractional indices, conjugates and exact surd relationships

Examples, answers and practice
14

Fractional indices, conjugates and exact surd relationships

Optional enrichment: Fractional indices, conjugates and exact surd relationships

Examples, answers and practice
15

Fractional indices, conjugates and exact surd relationships

Optional enrichment: Fractional indices, conjugates and exact surd relationships

Examples, answers and practice
16

Track accumulated rounding error and model storage with powers of ten

Track accumulated rounding error and model storage with powers of ten

Examples, answers and practice
17

Exact values and accumulated rounding

Exact values and accumulated rounding

Examples, answers and practice

Keep exploring.