# Maths Level 1

### Introduction

The Functional skills Qualifications in Mathematics at Level 1 are for learners who want to develop understanding and skills in mathematics. The qualifications give learners the opportunity to:

• Demonstrate a sound grasp of the underpinning skills and basics of mathematical skills appropriate to the level
• Apply mathematical thinking to solve simple problems in familiar situations ### Using numbers and the number system – whole numbers, fractions, decimals and percentages

Learners at Level 1 are expected to be able to count in steps of various sizes, including negative numbers; and read, write and understand positive whole numbers to one million. They can order and compare whole numbers of any size, and fractions, ratios and decimals, and recognise the effect of multiplying and dividing by powers of 10, 100 and 1000. They can identify, compare and extend a range of numerical and spatial patterns, use, understand and calculate with fractions, decimals and percentages and calculate simple interest. The specific content is listed down below:

• Read, write, order and compare large number (up to one million)
• Recognise and use positive and negative numbers
• Multiply and divide whole numbers and decimals by 10. 100, 1000
• Use multiplication facts and make connections with division facts
• Use simple formulae expressed in words for one or two step operations
• Calculate the squares of on-digit numbers
• Follow the order of precedence of operators
• Read, write, order and compare common fractions and mixed numbers
• Find fractions of whole number quantities or measurements
• Read, write, order and compare decimals up to three decimal places
• Add, subtract, multiply and divide decimals up to two decimal places
• Approximate by rounding to a whole number or to one or two decimal places
• Read, write, order and compare percentages in whole numbers
• Calculate percentages of quantities, including simple percentage increases and decreases by 5% and multiples thereof
• Estimate answers to calculations using fractions and decimals
• Recognise and calculate equivalences between common fractions, percentages and decimals
• Work with simple ratio and direct proportions

### Section 2: Using common measures, shape and space

Learners at Level 1 are expected to be able to work out simple relationships between common units of measurement to define quantities, also involving mathematical terms for position and direction. They can apply and use calculations with common measures including money, time, length, weight and capacity. They can visualise, draw and describe 2-D and 3-D shapes and use properties of 2-D shapes in calculations. See below for specific content on common measures, shape and space:

• Calculate simple interest in multiples of 5% on amount of money
• Calculate discounts in multiples of 5% on amounts of money
• Convert between units of length, weight, capacity, money and time, in the same system
• Recognise and make use of simple scales on maps and drawings
• Calculate the are and perimeter of simple shapes including those that are made up of a combination of rectangles
• Calculate the volumes of cubes and cuboids • Draw 2-D Shapes and demonstrate an understanding of line symmetry and knowledge of the relative size of angles
• Interpret plans, elevations and nets of simple 3-D shapes
• Use angle when describing position and direction, and measure angles in degrees

### Handling information and data

Learners at Level 1 are expected to be able to select, construct and interpret a range of statistical diagrams in various contexts; select and use methods and forms to present and describe outcomes. They can extract and interpret information from tables, diagrams, charts and graphs; apply simple statistics and recognise features of charts to summarise and compare sets of data; recognise and use the probability scale and interpret probabilities. See below for specific content on information and data

• Represent discrete data in tables, diagrams and charts including pie charts, bar charts and line graphs
• Group discrete data and represent grouped data graphically
• Find the mean and range of a set of quantities
• Understand probability on a scale from 0 (impossible) to 1 (certain) and use probabilities to compare the likelihood of events
• Use equally likely outcomes to find the probabilities of simple events and express them as fractions

There was a time when I would never have considered being a project manager, but I’m not far behind that now.

Charlie Chandler

Degree Apprentice