# Expanding Double Brackets (A)

**Year groups: **9, 10 and 11

**GCSE Tier: **F, H

**Target grades: **3-5

### Prerequisite knowledge:

Students should be familiar with the laws of indices, expanding single brackets and collecting like terms.

### Worksheet Description:

This worksheet is much less guided than Factions, decimals and percentages A and B as it requires students to convert more fluently between percentages and decimals.

Section A takes a closer look at common, but often difficult to convert, thirds and eighths. Here students are given the equivalences for 1/8 and 2/8, asked to determine 3/8, 5/8 and 7/8 using the information they have. Knowledge of equivalent fractions is drawn out as students are asked why 4/8 and 6/8 have been excluded.

Next up, students convert decimals to percentages including a number greater than 1 and decimals into 4 decimal places. Section C is the reverse of section B, percentages converted to decimals.