Pearson Edexcel GCSE
Number Revision Notes
M AT H E M AT I C S CO RE & H I GH E R T I E R O V E RVI EW
1. Structure & Calculation 2. Fractions, Decimals &
Percentages
BIDMAS / BODMAS
Order of operations for mathematical FDP Conversions
calculations:
• Brackets • Fraction → Decimal: Divide numerator by
denominator ( a ÷ b ).
• Indices / Orders
• Decimal → Percentage: Multiply decimal by
• Division & Multiplication (left to right)
100% .
• Addition & Subtraction (left to right)
Percentages & Growth
Prime Factor Decomposition
Percentage Change Formula:
Expressing any integer as a product of prime
numbers using factor trees. % Change = (Actual Change / Original) × 100
Applications:
Compound Growth & Decay:
• HCF (Highest Common Factor): Multiply
common prime factors. Final Value = Initial × (1 ± r/100)n
• LCM (Lowest Common Multiple): Multiply all
r = percentage rate | n = number of time periods
prime factors from Venn diagram.
Standard Form 3. Accuracy & Bounds HIGHER TIER
Used to represent very large or very small
numbers efficiently: Rounding
A × 10n where 1 ≤ A < 10 and n is an Rounding numbers to specified degrees of
integer accuracy:
• Decimal Places (dp): Count digits after the
decimal point.
• Significant Figures (sf): Count from the first
non-zero digit.
Number Revision Notes
M AT H E M AT I C S CO RE & H I GH E R T I E R O V E RVI EW
1. Structure & Calculation 2. Fractions, Decimals &
Percentages
BIDMAS / BODMAS
Order of operations for mathematical FDP Conversions
calculations:
• Brackets • Fraction → Decimal: Divide numerator by
denominator ( a ÷ b ).
• Indices / Orders
• Decimal → Percentage: Multiply decimal by
• Division & Multiplication (left to right)
100% .
• Addition & Subtraction (left to right)
Percentages & Growth
Prime Factor Decomposition
Percentage Change Formula:
Expressing any integer as a product of prime
numbers using factor trees. % Change = (Actual Change / Original) × 100
Applications:
Compound Growth & Decay:
• HCF (Highest Common Factor): Multiply
common prime factors. Final Value = Initial × (1 ± r/100)n
• LCM (Lowest Common Multiple): Multiply all
r = percentage rate | n = number of time periods
prime factors from Venn diagram.
Standard Form 3. Accuracy & Bounds HIGHER TIER
Used to represent very large or very small
numbers efficiently: Rounding
A × 10n where 1 ≤ A < 10 and n is an Rounding numbers to specified degrees of
integer accuracy:
• Decimal Places (dp): Count digits after the
decimal point.
• Significant Figures (sf): Count from the first
non-zero digit.
