Substitution into Formulae: Worksheets with Answers
Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. And best of all they all (well, most!) come with answers.
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Substitution Worksheet
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Help your students prepare for their Maths GCSE with this free substitution worksheet of 34 questions and answers
- Section 1 of the worksheet contains 27 skills based substitution questions, in 3 groups to support differentiation
- Section 2 contains 4 applied substitution questions with a mix of worded problems and deeper problem solving questions
- Section 3 contains 3 foundation and higher level GCSE exam questions to practise substitution into algebraic expressions and formulae
- Answers and a mark scheme for all substitution questions are provided
- Follows variation theory with plenty of opportunities for students to work independently at their own level
- All questions created by fully qualified expert secondary maths teachers
- Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards
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Substitution at a glance
Algebra substitution involves replacing letter terms with numerical values in algebraic expressions and formulas. Positive and negative numbers, along with decimals and fractions can be substituted into a variety of different types of expressions such as linear expressions and quadratic expressions.
More complex expressions could involve brackets, indices or square and cube roots. In order to correctly evaluate an expression once values have been substituted into it we must use order of operations. Substitution is a skill that can be applied to other areas of the mathematics curriculum to substitute numbers into formulas for area, volume and speed etc..
Looking forward, students can then progress to additional simplifying expressions worksheets and on to more algebra worksheets , for example a solving equations with fractions worksheet , linear equations worksheet or simultaneous equations worksheet.
For more teaching and learning support on Algebra our GCSE maths lessons provide step by step support for all GCSE maths concepts.
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Substitution Worksheets
Maths Worksheets / Algebra Worksheets / Substitution Worksheets
Our substitution worksheets were created to help students master this complicated area of maths. We have resources available which cover substituting numbers into formulae, magic squares, using negative numbers and more. All of the worksheets we offer are presented clearly, making the topic of substitution easy to understand. There are many methods to approach substitution, and our worksheets will ensure your child or pupil is confident on them all. For informative worksheets suitable for all abilities there is no substitute for Cazoom Maths!
Substituting into Expressions (A)
Substituting into Expressions (B)
Substituting into Expressions using Negative Numbers
Substituting into Formulae (A) (With Clues)
Substituting into Formulae (A) Word Problems
Substitution Builder (A)
Substitution Builder (B)
Substitution Builder (C)
Substitution Magic Squares
Substituting into Expressions (C)
Substituting into Formulae (B)
Direct Proportion B
Equations of Proportion – with Three Variables
Inverse Proportion
Printable Substitution Worksheets
We have problem sheets available which cover all areas of substitution, including worksheets on inverse proportion and direct proportion.
The resources we offer at Cazoom Maths will aid students’ understanding of substitution and make it enjoyable, through activities like magic squares and worded examples. Our worksheets equip students with the skills and knowledge they need to use substitution for any expression they come across.
The Importance of Learning Substitution
Learning substitution is the key to success in algebra. In algebraic formulae, numbers are substituted for letters, so learning to decode equations by substituting letters for numbers is a logical step.
Knowing how to substitute into algebraic expressions is a very useful skill which will help children when they approach more complicated algebra based questions. Substitution lays the foundation upon which students’ algebra knowledge can be built, so it is important to use quality worksheets to help them practice their skills and consolidate their knowledge.
Substitution Worksheets Make Excellent Revision Activities
Substitution forms part of the GCSE curriculum, so if students master this method they will be more confident when approaching their exams.
Substitution worksheets make excellent revision materials, as they contain engaging activities which will help students enjoy the topic. If a student enjoys completing substitution activities, they are likely to learn this important skill much faster, and when exam time rolls around, they won’t be worried because they have become substitution experts.
Use of Substitution in the Workplace
Substitution is a useful technique to use whenever someone encounters an algebraic equation.
This might not even be in maths: there are many applications of algebra in science, computing and even healthcare, so all professionals working in these areas will have to be confident with substitution. If maths students wish to follow any of these career paths, they will need to pass their maths GCSE, and to do that they will need to know how to substitute into algebraic expressions.
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Substitution
Substitution means putting a number into a formula or expression in place of a letter
Example 1: Find the value of 4a + b when a = 5 and b = 3
In this question we are going to change a into 5 and b into 3
We cannot write 45 + 3 because 4b means 4 times b We can instead use brackets to substitute the numbers into the expression: 4(5) + (3)
4(5) means 4 × 5 4 × 5 = 20
We now have: 20 + 3 20 + 3 = 23
Example 2: Find the value of 4a - 3b when a = 7 and b = 2
This time we are going to change a into 7 and b into 2
We can use brackets to substitute the numbers into the expression: 4(7) - 3(2)
4(7) means 4 × 7 4 × 7 = 28
3(2) means 3 × 2 3 × 2 = 6
We now have: 28 - 6 28 - 6 = 22
Example 3: Find the value of 4a 2 - 3b when a = 3 and b = 7
4(3) 2 - 3(7)
The order of operations tells us that the first step is to square the 3
We now have: 4(9) - 3(7)
4 × 9 = 36 3 × 7 = 21
36 - 21 = 15
Example 4: Find the value of 5a 2 - ab when a = -3 and b = -2
5(-3) 2 - (-3)(-2)
The order of operations tells us that the first step is to square the negative 3
A negative times a negative is a positive (-3) 2 = (-3) × (-3) = 9
We now have: 5(9) - (-3)(-2)
5 × 9 = 45 -3 × -2 = 6
45 - 6 = 39
Example 5: Find the value of 5ab - bc when a = 3, b = -2 and c = 4
5(3)(-2) - (-2)(4)
We can do the multiplication of 5 × 3 × -2 in any order 5 × 3 = 15 15 × -2 = -30 A positive times a negative is a negative
-2 × 4 = -8
We now have: -30 - -8
When we take away a negative we go up the number line -30 - - 8 = -30 + 8 = -22
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GCSE Maths Revision Worksheets
Here are the Metatutor Foundation & Higher maths revision worksheets. These are really useful tools in your revision, as they allow you to focus on weak areas. Solutions to each maths worksheet are also provided in case you get stuck and need to know how to solve the questions. The worksheets have been written in such a way to replicate real GCSE maths past papers, starting each topic off with easier questions, which become harder as you progress through the worksheet. The search function below allows you to find the specific topic you are looking for. You can also sort by Foundation and Higher or by topic name. Click on the Worksheet or Answers buttons to view the document in PDF form. If you want someone to work through some of these with you in person, book a free taster session . We also have a set of GCSE mini maths exams to test out your knowledge in realistic exam conditions. If you’ve already completed our maths worksheets and want more practice, here are some more excellent websites where you can find further free resources: CorbettMaths , MathsMadeEasy , TES
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SUVAT substitution, selection, problemsolving. (GCSE 9-1)
Subject: Mathematics
Age range: 14-16
Resource type: Worksheet/Activity
Last updated
16 November 2016
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Really useful graded practice questions and answers.
Fabulous- thanks so much!
Thank you. Just what was needed for practice
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Next: Algebraic Fractions Practice Questions GCSE Revision Cards. 5-a-day Workbooks
GCSE (1 - 9) Substitution Name: _____ Instructions • Use black ink or ball-point pen. • Answer all Questions. • Answer the Questions in the spaces provided - there may be more space than you need. • Diagrams are NOT accurately drawn, unless otherwise indicated. • You must show all your working out. Information
Edexcel GCSE Mathematics (Linear) - 1MA0 ALGEBRA: SUBSTITUTION Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser. Tracing paper may be used. Instructions Use black ink or ball-point pen.
Substitution. Here is everything you need to know about substitution for GCSE maths (Edexcel, AQA and OCR). You'll learn how to substitute positive numbers, negative numbers and decimals into various algebraic expressions. Look out for the substitution worksheets and exam questions at the end.
The Corbettmaths Textbook Exercise on Substitution. ... Videos and Worksheets; Primary; 5-a-day. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; More. ... Expanding Three Brackets Textbook Exercise. Next: Adding Algebraic Fractions Textbook Exercise. GCSE Revision Cards. 5-a-day Workbooks. Primary Study Cards. Search. Search. Contact ...
Mathster keyboard_arrow_up. Mathster is a fantastic resource for creating online and paper-based assessments and homeworks. They have kindly allowed me to create 3 editable versions of each worksheet, complete with answers. Worksheet Name. 1. 2. 3. Substitution - Basics. 1.
Using Substitution. Substitution can be helpful in utilising formulae and equations.. For example, we know \text{Speed} = \dfrac{\text{Distance}}{\text{Time}} To utilise this helpful equation, we need to use substitution:. It takes Esme 45\text{ minutes} to travel to school, which is 3\text{ km} away. We can use substitution into the equation above the find the speed Esme travels in \text{km/h}:
Help your students prepare for their Maths GCSE with this free substitution worksheet of 34 questions and answers. Section 1 of the worksheet contains 27 skills based substitution questions, in 3 groups to support differentiation. Section 2 contains 4 applied substitution questions with a mix of worded problems and deeper problem solving questions.
This resource covers everything your students need to practice complete substitution questions for their foundation tier GCSE exam. Questions include substituting formulae in words and algebraic expressions. Students will calculate with positive and negative integers and decimal numbers and must use the correct order of operations throughout.
Substitution worksheet. A worksheet for practising substituting numbers into an algebraic expression. This worksheet also features negative numbers, brackets and powers. substitution.pdf. File Size: 261 kb. File Type: pdf. Download File.
A GCSE Maths Worksheet covering substitution. Suitable for GCSE Students sitting the 9 - 1, A-Level Maths students revision and some Key Stage 3 students. Suitable for all the big examination boards including AQA, Edexcel, OCR and WJEC. This was taken from my 150 Page workbook which covers many more maths topics.
ppsx, 1.29 MB. This worksheet helps students to review their understanding of Substitution into Formulae. Questions include multiple variables and finding 'negatives of negatives'. The full range of skills required for GCSE is covered. These review sheets are great to use in class or as a homework.
Substitution means putting numbers in place of letters to calculate the value of an expression. \ (2b^2c = 2 \times b^2 \times c\) Remember that the rules of BIDMAS/BODMAS show that the order of ...
The Ultimate Collection of ALL questions involving SUBSTITUTION from EdExcel 1MA1 9-1 GCSE Mathematics - FREE. All questions from past papers, specimen papers, sample papers are included. ... Suitable for use as in-class worksheet, as an assessment, or set as revision homework; Designed for EdExcel, but also useful for AQA, OCR & WJEC;
Exam Style Questions. Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser. You may use tracing paper if needed. Guidance. 1. Read each question carefully before you begin answering it. 2. Donʼt spend too long on one question. 3.
Substitution worksheets make excellent revision materials, as they contain engaging activities which will help students enjoy the topic. If a student enjoys completing substitution activities, they are likely to learn this important skill much faster, and when exam time rolls around, they won't be worried because they have become substitution ...
PPT. Standard. PDF. Small. PDF. Ready-to-use mathematics resources for Key Stage 3, Key Stage 4 and GCSE maths classes.
Substitution worksheet. A simple worksheet for your classes to practise substituting values into expressions and formulas. In total there are over 50 substitutions for them to complete. Includes questions where the answers to each part should form a sequence, so students should be able to notice and correct errors themselves for these questions.
Substitution. Substitution means putting a number into a formula or expression in place of a letter. Example 1: Find the value of 4a + b when a = 5 and b = 3. In this question we are going to change a into 5 and b into 3. We cannot write 45 + 3 because 4b means 4 times b. We can instead use brackets to substitute the numbers into the expression:
The worksheets have been written in such a way to replicate real GCSE maths past papers, starting each topic off with easier questions, which become harder as you progress through the worksheet. The search function below allows you to find the specific topic you are looking for. You can also sort by Foundation and Higher or by topic name.
This resource is suitable for the beginner and goes up to GCSE level. "Substitution of Numbers into Algebraic Expressions" can be downloaded from Irby Maths' Shop for £1.80. 30 questions up to GCSE level on the substitution of numbers into algebraic expressions. Answers included. "Substitutions Worksheet" (pdf and ppt versions) is FREE t.
SUVAT substitution, selection, problemsolving. (GCSE 9-1) Subject: Mathematics. Age range: 14-16. Resource type: Worksheet/Activity. File previews. docx, 15.58 KB. A 3-stage, bronze, silver, gold worksheet for suvat equations from substituting into a given equation, to selecting the correct equation and finally to choosing values and equations ...