# 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.