Number Skills
Number Skills Revision Points
Arithmetic Skills
- Understand and utilise the order of operations (brackets, orders, division and multiplication, addition and subtraction).
- Be able to add, subtract, multiply and divide both whole numbers and decimal numbers.
- Accurately round numbers to a required number of decimal places or significant figures.
- Convert between fractions, decimals and percentages.
- Understand and identify prime numbers, and perform prime factorisation.
Number Types
- Appreciate the differences between integers, rational numbers, irrational numbers, real numbers, and complex numbers.
- Recognise the characteristics of odd numbers, even numbers, square numbers, and prime numbers.
- Comprehend positive and negative numbers, including addition and subtraction.
Ratio and Proportion
- Understand the concept of a ratio and how it differs from a fraction.
- Convert between ratios and fractions, and simplify ratios.
- Interpret and compute proportions using the 'cross-multiplication' method.
- Understand and apply direct and inverse proportions in various contexts.
Percentages
- Understand how to calculate a percentage of a whole.
- Use percentages to describe increase, decrease and change.
- Calculate the original amount after a percentage increase or decrease.
Number Properties
- Understand and utilise the properties of numbers including commutative, associative, distributive, identity and inverse properties.
- Understand the difference between an equation and an inequality.
- Solve both linear equations and quadratic equations using a variety of methods.
- Appreciate the value of absolute values and know how to compute them.
Sequences and Series
- Understand the difference between arithmetic and geometric sequences.
- Determine terms of arithmetic and geometric sequences using the nth term.
- Recognise and apply the sum formulas for arithmetic and geometric series.