Home

Maths

Algebra

Simple formulae

Simple formulae

Videos

Summary

Exercises

Select Lesson

Algebra

Simple formulae

Linear number sequences

Missing number problems

Solving equations with two unknowns

Ratio and proportion

Solving ratio problems

Calculating percentages of amounts

Scale factor problems

Unequal sharing

Statistics

Pie charts

Line graphs

Discrete and continuous data

Mean, median, mode and range

Geometry - position and direction

Coordinate polygons

Drawing and reflecting shapes on the coordinate grid

Drawing and translating shapes on the coordinate grid

Describing positions in the four quadrants

Geometry - properties of shapes

2D shapes: Types and properties

3D shapes: Types and properties

Comparing and classifying shapes

3D shape nets

Geometric shapes: Types and properties

Parts of a circle

Drawing and measuring angles with a protractor

Angles around a point and on a straight line

Finding missing angles

Measurement

Calculate and convert between units of measure

Perimeter of composite rectilinear shapes

Area of irregular shapes

Area of parallelograms and triangles

Formulae for the area and volume of shapes

Calculating the volume of cubes and cuboids

Fractions

Finding fractions of amounts

Mixed numbers and improper fractions

Comparing and ordering fractions greater than 1

Simplifying fractions

Add and subtract fractions: Different denominators

Multiplying pairs of proper fractions

Dividing fractions by whole numbers

Equivalent fractions, decimals and percentages

Multiplying decimals by whole numbers

Dividing and expressing the answer as a decimal

Multiplication and division

Times tables up to 12 x 12

Multiplying a 4-digit number by a 1 or 2-digit number

Dividing numbers up to 4 digits by a 2-digit number

Mental maths strategies

Common factors and multiples

Order of operations: BIDMAS

Using estimation to check answers

Addition and subtraction

Adding numbers using mental maths

Using column addition to add numbers

Subtracting numbers using mental maths

Using column subtraction to subtract numbers

Multi-step problems with addition and subtraction

Inverse operations to check calculations

Number and place value

Numbers to 10,000,000

Place value: Four-digit numbers

Representing numbers in different ways

Rounding any number up to 1,000,000

Counting using positive and negative numbers

Counting in powers of 10

Negative numbers

Explainer Video

Tutor: Alice

Summary

Simple formulae

In a nutshell

Formulae are rules or facts that are written in a mathematical way. They are used to help you work out missing numbers by using other connected quantities.



Understanding and using formulae

When a formula is written out you will see letters or sentences used instead of numbers. These are then replaced by numbers to solve the problem.


Using sentences in formulae

In some cases word problems can be turned into formulae made from sentences.


Example 1

The time needed to cook a cake is forty minutes plus twenty minutes for every egg used.


Written as a formula:


Cooking time =40= 40 =40 minutes + (20 ×+ \ (20\ \times + (20 × number of eggs used)

Maths; Algebra; KS2 Year 6; Simple formulae

​

Using letters in formulae

In other cases letters might be used to represent quantities. To work out volume, the formula used is: 

volume ===​ length ×\times×​ width ×\times× height. 


This can also be written as:

volume =lwh=lwh=lwh​ 


Note: In maths, letters and numbers written next to each other means they are multiplied.


Example 2

What is the volume of this cuboid?


Write down the formula:

volume =lwh=lwh=lwh​ 

length=5cm=5cm=5cm, width=2cm=2cm=2cm and height=3cm=3cm=3cm​ 

l=5cm,w=2cm,h=3cml=5cm, w=2cm, h=3cml=5cm,w=2cm,h=3cm​, 


Substituting into the formula.

volume =5cm×2cm×3cm=30cm‾= 5cm \times 2cm \times 3cm = \underline{30cm}=5cm×2cm×3cm=30cm​

Maths; Algebra; KS2 Year 6; Simple formulae


Read more

Learn with Basics

Learn the basics with theory units and practise what you learned with exercise sets!
Length:
Volume: Comparing, adding and subtracting

Unit 1

Volume: Comparing, adding and subtracting

Formulae for the area and volume of shapes

Unit 2

Formulae for the area and volume of shapes

Jump Ahead

Score 80% to jump directly to the final unit.

Optional

This is the current lesson and goal (target) of the path

Simple formulae

Unit 3

Simple formulae

Final Test

Test reviewing all units to claim a reward planet.

Create an account to complete the exercises

FAQs - Frequently Asked Questions

What do letters next to each other mean?

In algebra, letters and numbers written next to each other means they are multiplied.

How do I solve a formula?

When a formula is written out you will see letters or sentences used instead of numbers. These are replaced by numbers to solve the problem.

What is a formula?

Formulae are rules or facts that are written in a mathematical way. They are used to help you work out missing numbers by using other connected quantities.

©2020 - 2024 evulpo AG

Beta