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Simple formulae

Simple formulae

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Algebra

Simple formulae

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Multiplying pairs of proper fractions

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Times tables up to 12 x 12

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Common factors and multiples

Order of operations: BIDMAS

Using estimation to check answers

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Using column subtraction to subtract numbers

Multi-step problems with addition and subtraction

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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

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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


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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

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Simple formulae

Unit 3

Simple formulae

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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.

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