Negative Indices Textbook Answers - Corbettmaths. right!? 24\times4 = 96 24 4 = 96. The numerator of the fraction is power, and the denominator of the fraction stands for the type of root. 4 (no answers), Increasingly Tables. Try the free Mathway calculator and problem solver below to practice various math topics. The farmer must pay 1p tax for each m 2 of land he owns. K439:Raise an Algebraic Term to a Positive Integer Power. &=\frac{1}{16 b^{4}} It is mandatory to procure user consent prior to running these cookies on your website. A selection of some of my favourite, free maths activities to use in lessons. Includes reasoning and applied questions. Maths Begin this negative and fractional indices worksheet by looking at integers and proper fractions raised to negative indices (Q1).
Negative Indices - Corbettmaths | Maths New Further Maths. You might just want some questions for a bit of practice. Q3 in this excellent resource covers unit fractional indices to all of these types of numbers, before bringing in non-unit fractional indices in Q4. 5. We also know that 4^3=4\times 4\times 4=16\times 4=64 43 = 4 4 4 = 16 4 = 64. x{GO,$PM9#0`2L{ t0Dq.qH4&lii _&}_vMVw^=vuUu}HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH xg5+W\dXHHHWN:yaC:6.hXZsgkY*cQGMM'KYfaaAn]G3mv_kHHHK=zt t'Lm05)4:X7m1xFFE0iS?G g^|yw>3C^zJ|""k1v}]z~sXE$@$@I cqSf""%6W{D"##o{ -L5 X!p73%hJHELlt. Great, I aced Math, say goodbye to hard maths questions, always accurate. 3C;Srg;C>c)e +h Example 1: Negative Powers Simplify the following, 4^ {-3} 43. Division (long) Video 19a.
How to solve the yellow side of a rubik's cube | Math Index Negative Indices Textbook Exercise - Corbettmaths September 26, 2019 corbettmaths Negative Indices Textbook Exercise Click here for Questions . File Size: 257 kb. extra practise, this is the place for you. Below is an example of a term written in index form: 4 3 4 3. We know that \sqrt[3]{8}=2. When you visit or interact with our sites, services or tools, we or our Further Maths; Powers are a shorthand way of expressing repeated multiplication. Indices show where a number has been multiplied by itself, eg squared or cubed, or to show roots of numbers, eg square root. Fractional and Negative Indices Instructions Use black ink or ball-point pen. We also use third-party cookies that help us analyze and understand how you use this website.
It really is one of the very best websites around. Other lessons in this series include: To make the negative index positive we put the term over 1 and flip it. Worksheet Name 1 2 3 Indices Rules - Basics 1 2 3 Indices Rules - Advanced 1 2 3 Corbett Maths keyboard_arrow_up Back to Top Corbett Maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5-a-day. Simplify. For example, 2 5 means that you have to multiply 2 by itself five times = 22222 = 32. The worksheets are designed in landscape so they can be conveniently displayed on screen, as well as printed. (c) Deal with problems involving a mixture of bases. Questions.
Simplifying algebraic equations corbettmaths - Math Index Begin this negative and fractional indices worksheet by looking at integers and proper fractions raised to negative indices (Q1). Simplify and leave your answer in index form. By signing up you agree to our terms and conditions and privacy policy. The value of zero indices is always equal to $$1$$. Level 5 - Evaluating indices expressed as fractions. Name: Level 2 Further Maths Ensure you have: Pencil or pen Guidance 1. Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. N6a Using powers and roots. N7b Calculating with fractional indices. Find the probability of getting 6 or more girls in 8 births. corbett maths negative indicesspinning top toy 70s. 3. We get negative indices by dividing two terms with the same base where the first term is raised to a power that is smaller than the power that the second term is raised to.
Negative Indices - Corbettmaths - YouTube Give your answer in its simplest form. Most popular sequences Nth term of a linear sequence spider Changing the subject of a formula (6 exercises) Solving linear equations spider Upper and lower bounds with significant figures Applying the rules of indices to form and solve equations Advert Categories A Level Binomial expansion Complex numbers Differentiation Functions Integration Possible Next Steps: Simplifying Basic Expressions, Differentiation, Properties of Numbers, Standard Form. Sign Up Now. Multiply and divide using index laws. Counting to 100. Negative indices are powers (also called exponents) with a minus sign in front of them. By clicking continue and using our website you are consenting to our use of cookies Thus, the simplified value of $$\frac{\left(3x^2y^2\right)^2\times\left(4xy\right)^3}{24x^4y^7}$$ is $$24x^3$$. This is why when dealing with fractions it is easier to skip to step 2 and just flip the fraction: 1. Level 4-5 GCSE Level 6-7 GCSE Example 2: Fractional Powers and Roots The questions in this worksheet have been designed to allow your students to have a go at all significant aspects of the content, but also to notice something about the structure behind each content area. Section A: GSCE-level maths. Division (short) Video 19 Questions Answers. GCSE :: Laws of Indices. Indices or powers are used to write statements involving repeated multiplication in shorthand. Laws of Indices. \textcolor{red}{x}^{\large{\frac{\textcolor{limegreen}{1}}{\textcolor{blue}{2}}}}= \sqrt[\textcolor{blue}{2}]{\textcolor{red}{x}^\textcolor{limegreen}{1}} =\sqrt[\textcolor{blue}{2}]{\textcolor{red}{x}}, \textcolor{red}{x}^{\large{\frac{\textcolor{limegreen}{1}}{\textcolor{blue}{3}}}}= \sqrt[\textcolor{blue}{3}]{\textcolor{red}{x}^\textcolor{limegreen}{1}} =\sqrt[\textcolor{blue}{3}]{\textcolor{red}{x}}, Note: it doesnt matter which order you carry out the square root and multiplication operations. DvGg;}eZVOODr O{y uX+g|Mf4F8BYQDQ:NQdqZ;|iu\Gcdq@=T5P[-I9r&J&qZHX;(qs0!\ l !S ;=[iqT5,2 &=RH82!H{R@eXRtm1g(T-Nao_3
4/5`C9Ve5]s_!$_vUu(+iwHv?2O "cH4WEeqlTKvdz.>y~py+x_EU5Op37bpk@]tk,ISN1k(.5DI 1
p{aw Sometimes the AI can't understand the problem, but, there is a great edit mode for when it makes a mistake, so it is an easy fix. Distance Charts. Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost, Formulae and Simplifying Expressions Key Skills Section(for selecting more than one), Powers, Roots & Laws of Indices Key Skills Section(for selecting more than one).
We could alternatively write the expression as \sqrt{4^3}, but in this case the first option is easier. GCSE Maths Predicted Papers are perfect for preparing for your GCSE Maths exams. Name. 10/10 app, would highly recommend. The terms are being multiplied.
negative indices corbettmaths MASH also provides additional 1-1 support with any maths or stats related to your course. Example 3: Simplify $$\frac{\left(3x^2y^2\right)^2\times\left(4xy\right)^3}{24x^4y^7}$$. 50.
Full Coverage: Laws of Indices - DrFrostMaths << /ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ] /ColorSpace << /Cs1 7 0 R K440:Raise an Algebraic Term to a Negative Power. On most occasions the positive root is the only one required. Worksheet Answers. GCSE (1 - 9) Fractional and Negative Indices Name: _____ Instructions Use black ink or ball-point pen. Negative Indices 1. Lower = 47.5 Upper = 48.5 Edges, Faces, Vertices Video 20 Questions Answers. Next consider mixed numbers and decimals. A Level Revision A Level (Modular) Revision. a means "a" squared which means "a" multiplied by "a".
Indices - Mathematics GCSE Revision - Revision Maths So clearly, a -1 = In same way, a -2 = = a -3 = = Step 1: Recall the laws of indices that has to be used, Step 2: Simplify the numerator of the expression, Step 3: Simplify the denominator of the expression, Thus, $$\frac{h^{-3}\times h^{6}}{h^5\times h^{-3}}=h$$. Read advice from maths teacher Jo Morgan about helping secondary students understand indices. In general, the result of a negative power is \bf{1} over that number to the positive power, i.e. Increasingly Difficult Exercises: Indices. We then begin to mix negative and fractional indices across Q5-6. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. lesson, MAP: Do math. Interactive tools and activites to aid the teaching of mathematics. Menu Skip to content. ), or by considering patterns (see Gems 8 for more on this). Videos, worksheets, 5-a-day and much more Examples, solutions, videos, activities and worksheets that are suitable for A Level Maths to help students learn the multiplication rule, division rule and power rule of indices. Name: Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance Corbett Maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5-a-day. endobj Increasingly Difficult Exercises: Fractional and Negative Indices Increasingly Difficult Exercises: Solving Equations with Indices Dr Frost: Sherlocked - Laws of Indices Dr Frost: Law of Indices Head to Head Alutwyche: Defuse the bomb indices Alutwyche: Simplifying Indices Match Up Alutwyche: Indices Codebreakers a means "a" squared which means "a" multiplied by "a". \textcolor{red}{a}^{-\textcolor{limegreen}{b}} = \dfrac{1}{\textcolor{red}{a}^\textcolor{limegreen}{b}}. GCSE Laws of Indices. GCSE :: Laws of Indices. Maths revision video and notes on the topic of Negative and Fractional Indices. A level Maths (All Topics (brief)) Flashcards on Corbettmaths Flashcards, created by Holly Martin on 24/04/2018. For instance, $$a^{-2}$$, $$b^{-5}$$.
PDF Examples iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii Workout Click here Your personal data will be used to support your experience throughout this website, to manage access to your account, and for other purposes described in our privacy policy. To help us show you teaching resources, downloads and more youll love, complete your profile below. CORBETTMATHS 2018. Laws of Indices: Worksheets with Answers. tying off loose ends knitting 0.00 Cart.
Pythagoras theorem questions and answers corbettmaths endobj Whenever we multiply expressions together with the same index this operation is equivalent to adding the numbers in the index together. Answers. Description of Levels. [Edexcel GCSE(9-1) Mock Set 1 Autumn 2016 - 1H Q10] Just like other operations in maths (+, -, x,), Indices are a type of math operations. Indices are used to show numbers that have been multiplied by themselves. The thermometer below shows the temperature at 6am in a town The temperature increases by 7C by 10am Corbettmaths 2018 Diagrams are NOT accurately drawn, unless otherwise indicated. File Type: pdf. An index is a small number that tells us how many times a term has been multiplied by itself. \end{aligned}\], \[\left(\frac{4}{3}\right)^{-2}=\left(\frac{3}{4}\right)^{2}\], \[\begin{aligned}
Example 2: Rewrite $$p^{\frac{6}{7}}$$ in the form of $$\left(\sqrt[n]{a}\right )^{m}$$. N7a Calculating with positive and negative integer indices.
Maths Genie - Revision - Negative and Fractional Indices Increasingly Difficult Exercises: Indices. Fractional powers can be explained using the multiplication law. Peter Mattock is an assistant headteacher and secondary mastery lead for the East Midlands South Maths Hub. These cookies will be stored in your browser only with your consent. Find the lower and upper bound. Dont worry weve also included an answer sheet in the download. Revise about how to multiply and divide indices, as well as apply negative and fractional rules of indices with this BBC Bitesize GCSE Maths Edexcel guide.
PDF Exam Style Questions Each r Use Pie Corbetts non-fiction texts to inspire your KS2 pupils to get writing. {$@$@$frTT1pMB)"*|HH@ +Eqc-Zd(I#Fg" ?$saJ(c/+LQ#x0{D$@I &iZ>7nd%,Yr3g
MHH`a)Yhm6LVr7jG g_Woz*?I.A.3 Please read our, Example 1: no coefficient in front of the base, Example 2: with a coefficient in front of base, Example 3: with a coefficient in front of base, Simplify expressions involving the laws of indices, Calculate with roots, and with integer and fractional indices. [2 marks] We now know that 4^ {-3} 43 is equal to \dfrac {1} {4^3} 431. Indices Rules builds on the 7 rules from Powers and Roots. When we cancel the common factors of x. I have tried out each and every one with my students. K692:Raise a Fraction to a Fractional and Negative Power. Applying Properties of Exponents, fractional and negative indices - jigsaw 1, fractional and negative indices - jigsaw 2, tricky indices - jigsaw 3 tricky indices - jigsaw
corbett maths negative indices - aptusnow.com Log in above for the teachers version.
Finding the equation of a perpendicular line corbettmaths - Math Index Roots - BBC Bitesize Level 2 Certificate in Further Mathematics. Answer all Questions. Indices refers to the power symbol we write just above numbers or terms. Section B: Higher GCSE and easier A-level. ; Work out the value of 64 2/3; Work out all solutions of the equation: 8 m = 2 m 2; Show clearly that 4 3/2 = 8Hence, or otherwise, work out the value of y if 4 y = 8 6; Write down the value of 2 0. 1 0. The plural of index is indices. Password must contain at least 8 characters of which 1 uppercase, 1 number and 1 special character, It's been a chaotic year but Year 6 children still deserve the best ending to their primary journey, Lady Macbeth quotes Key lines for studying Shakespeares Macbeth in KS4 English, Sexual Health Week 2022 Great RSE education resources to use in school, Creative writing prompts Best activities and resources for KS1 and KS2 English, helping secondary students understand indices, KS3/4 Numeracy Significant figures Task sheet, Equation of a line KS3/4 worksheet with answers, Angles in parallel lines worksheet KS3 maths resource with answers, Expanding brackets worksheet KS3/4 maths resource with answers, Nth term questions KS3/4 linear sequences worksheet with answers, Pie Corbett Ultimate KS2 Fiction Collection, Expert Medium-Term Science Plans for Primary, Amazing Handwriting Worksheets for EYFS & KS1. Answer the questions in the spaces provided there may be more space than you need.
Solving equations answers corbettmaths - Math Index 0.126 (Type an integer or a decimal. Homework Support Solutions. << /Length 5 0 R /Filter /FlateDecode >> Increasingly Difficult Exercises: Negative Indices. There are other names for an index, including power and also logarithm. worksheet, complete with answers. Laws of Indices - Part 1 (Higher & Foundation) | GCSE Maths Tutor The GCSE Maths Tutor 158K subscribers Join Subscribe 1.8K Share Save 106K views 3 years ago Number A video revising the. xqU,lzdADp8 :0 k.y7ks@t]U_VVV*~>?ur|r}9nq{v~^
w{z|?n?v;>o}p8tyrx?'mz>3n%q(Wps=\9/a5_ZfQ` ~=|z^nyd-ZOy3r~>G?==0B&v_~|9q|LhAyn{]/>Lh9
9c{ol>H'Gg+`l3_oy/SW.pI#!+~?/?Xx.I?1f. Rewrite the subtraction operations as addition of negative numbers. We can identify it from the way a certain number is written e.g where n is called an exponent/index/power and a is called the base. The power, also known as the index, tells you how many times you have to multiply the number by itself. Resource packs to supercharge your planning, I would like to receive regular updates from Teachwire with free lesson plans, great new teaching ideas, offers and more. Step 1: Recall the formula a^ {m}\times a^ {n}=a^ {m+n} am an = am+n. Increasingly Difficult Exercises: Fractional Indices. stream Check out our website for tons of resources and tips to help you with your assignments. Answer the questions in the spaces provided there may be more space than you need. Diagrams are NOT accurately drawn, unless otherwise indicated. 5-4 = j.
Indices Worksheets | Practice Questions and Answers | Cazoomy We are here to help you with all of your homework needs! Corbettmaths - This video goes through the laws of indices needed for both the foundation and higher tiers. Thus, we have written the expression as a power of 3. Mistry Maths: Powers multiplying and dividing
Exam-Style Questions on Indices - Transum Powers and Indices - Variation Theory K690:Raise a Number to a Fractional and Negative Power. Fractional and negative indices - Help for AQA Maths Mod 3 Higher Show Step-by-step Solutions.
Find the probability of getting exactly 6 girls in 8 births | Math Index Multiplication Textbook 1 and Textbook 2 - Corbett Maths; Multiplying positive integers - lessons from Boss Maths; Multiplication methods (teacher resource) Access Maths; Fractional and negative indices - @taylorda01 ; Fractional Indices Always/Sometimes/Never - MathsPad; (Level 5) 5 2 3 2 4 2 10 6 [2 marks] Answer 5 Write the following expression as a power of 5. 8 /Filter /FlateDecode >> cuanto cuesta quitar una caries en colombia, Fanning Funeral Home Welch, Wv Obituaries, How To Check Homestead Exemption Status Broward County, what cards does paypal accept for instant transfer, what does let's go brandon mean in politics, illinois high school lacrosse association. Click here for Answers. No calculator allowed! Negative Indices Practice Questions - Corbettmaths. 4 0 obj Notice that in this example we chose to perform the \sqrt{4} operation before cubing the answer. docx, 11.62 KB. The plural of index is indices. Determine math questions. If some number is raised to some power, then the power it is raised to is the index of that number. We can read this as 4 to the power 3. (Level 5) 255 53 [2 marks] Answer Turn over for docx, 11.59 KB. Express your answer in index form. Learn about and revise how to multiply and divide indices, as well as apply negative and fractional rules of indices with GCSE Bitesize AQA Maths. Question 2: Work out \sqrt{9}\times 6^{-2}, Write your answer in its simplest form (Non-calculator), Firstly, as 3^2=9, the inverse operation gives, \sqrt{9}=3. For instance, $$5^0$$, $$x^0$$. Using the multiplicative law of indices . In Q9 they need to write examples in index form. So, (\sqrt[2]{9})^3 becomes 3^3, which is, Write 2^{15}\times 8^{-4} as a power of 2, and hence evaluate the expression. Whether you want a homework, some cover work, or a lovely bit of GCSE: (b) Deal with fractional exponents. Next consider mixed numbers and decimals. A Level Revision . &=\frac{1}{2b\times2b\times2b\times2b}\\ Difficult Exercises: Solving Equations with Indices, Alutwyche: Simplifying Indices 2 - Fractional and Answer all questions. After studying this section, you will be able to: divide and multiply algebraic expressions using indices. Download the medium term plan by clicking on the button above. &=\frac{9}{16} )6#IF=3JouECnWXFQ)YE-,^_Qf7E9nGovAHKVA*@p(, pccQd22i-6B&L1+eFf&c@&1V:&4UOv0~ah8y1k]#]rg But opting out of some of these cookies may affect your browsing experience. 6. Multiplying and dividing indices, raising indices to a power and using standard form are explained. The last two questions apply the same ideas to algebraic expressions.
Im Kerry, a maths teacher with over 25 years experience including as Head of Mathematics and more recently ten years running a tuition centre. Higher Phase Weekly 'Corbett Maths 5-a-day' check ins perpendicular line equation to find the value of c. Get Help with Homework Looking for someone to help with your homework?
Rewrite the subtraction operations as addition of negative numbers A farm has an area of 12 km 2. (Non calculator). Corbett Maths. Indices show how many times a number or letter has been multiplied by itself . \end{aligned}, \left(\frac{5}{8}\right)^{-1}=\frac{8}{5}, \left(\frac{8}{125}\right)^{-\frac{2}{3}}, We use essential and non-essential cookies to improve the experience on our website. Look out for the laws of indices worksheets and exam questions at the end. 2. Solving equations answers corbettmaths - The opposite sides of a rectangle are the same length, so 5x+3 = 3x+9. 4. Whenever we multiply expressions together with the same index this operation is equivalent to adding the numbers in the index together.
Laws Of Indices - GCSE Maths - Steps, Examples & Worksheet Inequalities: (one sign) Practice Questions Answers Textbook Answers 179. VuuPGf(x7f E!#yzq5! =(ap4W(JnwWH These GCSE Maths revision cards are relevant for all major exam boards including AQA, OCR, Edexcel and WJEC.
Indices - WorksheetMath Revise about how to multiply and divide indices, as well as apply negative and fractional rules of indices with this BBC Bitesize GCSE Maths Edexcel guide. K435:Expand a Single Bracket Using Index Laws. Jumpstart University.
Indices Rules Worksheets | Questions and Revision | MME Recap of Fractional and Negative Indices with 2 sets of differentiated "Super 9" practice questions. stream Rounding spiders - alutwyche on TES. Check your answers seem right. GCSE Higher. Indices Worksheets Example 2. favourite, free maths activities to use in lessons.
Negative Indices Textbook Answers - Corbettmaths a 2 a 3 = = , a fraction. Dr J Frost (jfrost@tiffin.kingston.sch.uk)@DrFrostMaths . A worksheet for practising the use of negative indices. Good luck! Fractions: Adding (same denominators) Video 23 Questions Answers. Given we know that \sqrt4=2 , this becomes. Maths : Indices - Introduction. These are the temperatures in towns cities on the same day. GCSE Edexcel Maths Revision Number Negative and Fractional Indices Addition and Subtraction Algebra Factorising Harder Questions Coordinates Ratio . All lessons I create I use myself as well as share to my own department. Negative Indices Video 175 on www.corbettmaths.com Question 5: Put the expressions above in order, from smallest to largest, when: (a) x = 2 (b) x = 1 (c) x = 0.5 (d) x = 0.5 E.g. Increasingly Difficult Exercises: Fractional Indices. File previews. Sorting out your medium term planning for KS1 science and KS2 science? Q2. E.g. Just Maths Number H Product of Primes, HCF & LCM v2 Number H Product of Primes, HCF & LCM v2 SOLUTIONS 1.4 Calculating with Powers (Indices) - Use powers and roots in calculations - Multiply and divide using index laws - Work out a power raised to a power Dr Frost Powers, Roots & Laws of Indices Just Maths Revise about how to multiply and divide indices, as well as apply negative and fractional rules of indices with this BBC Bitesize GCSE Maths Edexcel guide. (am)n = amn ( a m) n = a m n. Step-by-step guide: Brackets with indices. Objectives: (a) Understand laws for multiplying power expressions, raising a power to a power and dealing with 0 or negative exponents. They Finding the equation of a perpendicular line corbettmaths. Radio 4 podcast showing maths is September 2, 2019 corbettmaths. Directed Number. por | Jun 9, 2022 | marvel shifting script template google docs | is berry vrbanovic married | Jun 9, 2022 | marvel shifting script template google docs | is berry vrbanovic married
Laws of Indices (Year 8) | Teaching Resources have kindly allowed me to create 3 editable versions of each There are a total of. xXn6}WL@#}khq@Q}p;qu$vNj&%/\I-lw~'VvEi~"&)^@6> M@7R+/O+U-SSRZA^*A]S $^b0m1:BKCM(&+t7. K694:Raise an Algebraic Term to a Fractional and Negative Power. pic.twitter.com/VOTZQgj7s5, Corbett Maths Negative Indices (Including Some Fractional). Equations Video 21 Questions Answers.
corbett maths negative indices - smarco.id Level 1 - Evaluating positive indices without a calculator. Rich Tasks . Answer all questions. Level 2 - Evaluating positive indices with a calculator. Maths revision video and notes on the topic of Negative and Fractional Indices. Negative and Fractional indices | Teaching Resources Negative and Fractional indices Subject: Mathematics Age range: 14-16 Resource type: Unit of work 8 reviews File previews pptx, 1.48 MB Series of slides, questions/examples/starters I have used recently on negative/fractional indices. You also have the option to opt-out of these cookies. Check out our other pages to find out how. Find the amount of tax the farmer must pay. A worksheet on Negative Numbers. View All Tables. (You can unsubscribe at any time.). Deff recommend this app. When dealing with fractions it is easier to skip to step 2. true /ColorSpace 22 0 R /Intent /Perceptual /SMask 23 0 R /BitsPerComponent 4 4 4 = 64 4 4 4 = 64. For instance, in $$10^{\frac{7}{9}}$$, $$9^{\text{th}}$$ the root of $$10$$ is multiplied $$7$$ times. \end{aligned}\], \[\begin{aligned} right!? Get what you need to become a better teacher with unlimited access to exclusive free classroom resources and expert CPD downloads. 2. Corbettmaths Primary Primary 5-a-day, videos, worksheets and more. (. Further Maths; Practice Papers; Conundrums; Class Quizzes; Blog; About; Revision Cards; Books; March 24, 2013 August 20, 2019 corbettmaths. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; 5-a-day GCSE A*-G; 5-a-day Core 1; More.