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Number in Maths Flashcards

Free GCSE Maths Number Revision Cards

Brush up on fractions, decimals, indices, standard form, surds and prime factorisation with these free GCSE Maths flashcards. Covers the essential number skills for GCSE exam success.

20 cards · Maths

Question
What is a prime number?
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Answer
A number greater than 1 with exactly two factors: 1 and itself. Examples: 2, 3, 5, 7, 11, 13. Note: 1 is NOT a prime number.
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Question
What is prime factorisation?
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Answer
Expressing a number as a product of its prime factors. Example: 60 = 2² × 3 × 5. Used to find HCF and LCM.
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Question
How do you find the HCF using prime factors?
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Answer
Find the prime factorisation of both numbers, then multiply the common prime factors (using the lowest power of each).
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Question
How do you find the LCM using prime factors?
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Answer
Find the prime factorisation of both numbers, then multiply all prime factors (using the highest power of each).
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Question
What are the rules for adding and subtracting fractions?
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Answer
Find a common denominator, convert both fractions, then add/subtract the numerators. Keep the denominator the same.
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Question
What are the rules for multiplying fractions?
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Answer
Multiply numerators together and denominators together: (a/b) × (c/d) = ac/bd. Simplify before multiplying where possible.
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Question
What are the rules for dividing fractions?
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Answer
Flip the second fraction (take the reciprocal) and multiply: (a/b) ÷ (c/d) = (a/b) × (d/c).
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Question
What is a recurring decimal and how do you convert it to a fraction?
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Answer
A decimal that repeats indefinitely. To convert: multiply by a power of 10 to shift the pattern, then subtract the original — e.g. 0.̄3 = 1/3.
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Question
What is standard form (scientific notation)?
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Answer
A way of writing very large or small numbers: A × 10ⁿ, where 1 ≤ A < 10 and n is an integer. Example: 3,400,000 = 3.4 × 10⁶.
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Question
What are the index laws?
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Answer
aᵐ × aⁿ = aᵐ⁺ⁿ; aᵐ ÷ aⁿ = aᵐ⁻ⁿ; (aᵐ)ⁿ = aᵐⁿ; a⁰ = 1; a⁻ⁿ = 1/aⁿ; a^(1/n) = ⁿ√a.
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