iGCSE Mathematics OxfordAQA
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59 topics in 5 modules
☑️ Number 13 topics
- Number notation and place value
- Types of number (integers, decimals, fractions, percentages, and surds)
- Arithmetic operations (addition, subtraction, multiplication, division)
- Fractions
- Decimals
- Percentages
- Ratio and proportion
- Estimation and rounding
- Standard form
- Indices
- Calculators (Foundation Tier)
- Laws of Indices (Higher Tier)
- Surds (Higher Tier)
☑️ Algebra 11 topics
- Expressions and formulae
- Equations and inequalities
- Linear functions
- Quadratic functions
- Sequences
- Linear and quadratic inequalities (Higher Tier)
- Higher-degree polynomial functions (Higher Tier)
- Graphs and transformations (Higher Tier)
- Simultaneous equations (Higher Tier)
- Graphing non-linear functions (Higher Tier)
- Algebraic fractions (Higher Tier)
☑️ Geometry 14 topics
- Angles
- 2D shapes and their properties
- 3D shapes and their properties
- Transformations (reflections, rotations, translations, and enlargements)
- Congruence
- Similarity
- Perimeter, area, and volume
- Trigonometry
- Coordinate geometry
- Bearings and compass directions
- Circle theorems (Higher Tier)
- Sine rule and cosine rule (Higher Tier)
- Vectors (Higher Tier)
- Locus (Higher Tier)
☑️ Measures 5 topics
- Units of measurement
- Time and dates
- Speed, distance, and time
- Upper and lower bounds (Higher Tier)
- Direct and inverse proportion (Higher Tier)
☑️ Statistics 16 topics
- Data collection and representation
- Averages and range
- Probability
- Scatter diagrams and correlation (Higher Tier)
- Cumulative frequency (Higher Tier)
- Histograms (Higher Tier)
- Sets and Venn diagrams (Higher Tier)
- Radian measure
- Arcs and sectors
- Graphs of trigonometric functions
- Trigonometric identities
- Matrix notation
- Operations with matrices (addition, subtraction, scalar multiplication)
- Matrix multiplication
- Inverse matrices
- Applications of matrices in geometry
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iGCSE Mathematics OxfordAQA Revision Content
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iGCSE Mathematics OxfordAQA - Number - Number notation and place value Content Preview
Number
Number notation and place value
Number Notation
- Standard form notation: used to express very large or very small numbers. A number in standard form is written as a x 10^n where 1 ≤ a < 10 and n is an integer.
- Decimal notation: most common number notation. Includes both integer part and fractional part separated by a decimal point.
- Fractions: used to represent a part of a whole. It comprises of a numerator (top number) and a denominator (bottom number). Numerator indicates the number of parts, while denominator indicates the total number of equal parts in a whole.
- Percentage notation: used to represent a number as a fraction of 100. It's symbolized by the '%' sign.
Place Value
- Units place: the rightmost place in a number.
- Tens place: to the left of the units place. Each move to the left multiplies the place value by 10.
- Hundreds place: to the left of the tens. Continuing the pattern, each move to the left multiplies the place value by 10.
- Decimal place values: includes tenths (one place after the decimal), hundredths (two places after the decimal) and so on.
- Naming large numbers: Beyond hundreds, we use names such as thousands, millions, billions and so on according to the place value. For example, in number 1,000,000, the 1 is in the "millions" place.
Important Points
- Understand how to convert between different number notations (standard form, decimals, fractions, and percentages).
- Rounding numbers according to different place value is crucial. For example, if rounding to the nearest tens, the value in the units place will decide the result.
- Comparing and ordering numbers will require a solid understanding of both number notation and place value. For example, you need to be able to determine which is larger: 0.25 or 25%.
- Be aware of common misconceptions such as the belief that 0.5 is bigger than 0.45 because 5 is larger than 45. Always consider place value when comparing numbers.
- Practice converting between different forms and being precise with place value to build speed and confidence.
Question: Write the number 57,000,000 in standard form and then convert it to a percentage.
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