# GCSE Mathematics Edexcel Linear: The Revision Guide, Higher Level

## CGP Books

Language: English

Pages: 130

ISBN: 2:00280317

Format: PDF / Kindle (mobi) / ePub

Taken from retail AZW4 using KindleUnpack

This Kindle Edition of CGP's bestselling Revision Guide is the ideal companion to Edexcel Higher Level GCSE Maths. Every topic from the Edexcel A and B courses is explained in a concise, friendly style, with a sprinkling of CGP humour to keep things interesting. Grade information is included to show the difficulty level of each topic, and there are regular summary questions and exam-style questions to test you on all the important skills.

Linear Algebra: A Modern Introduction (4th Edition)

The Mathematics of Paul Erdös I

A First Course in Differential Equations with Modeling Applications (10th Edition)

5x = 5x + 10 – 5x 4x – 6 = 10 4x – 6 + 6 = 10 + 6 4x = 16 4x ÷ 4 = 16 ÷ 4 x= 4 (before they take over the world) 1) Fractions make everything more complicated — so you need to get rid of them before doing anything else (yep, even before multiplying out brackets). 2) To get rid of fractions, multiply every term of the equation by whatever’s on the bottom of the fraction. If there are two fractions, you’ll need to multiply by both denominators. 1. x+2 Solve 4 = 4x - 7 4^ x + 2h = 4

b and c are numbers (which can be negative) 2x + 4y = 6 — 1 -4x – 3y = 3 — 2 2. Match up the numbers in front (the ‘coefficients’) of either the x’s or y’s in both equations. You may need to multiply one or both equations by a suitable number. Relabel them 3 and 4 . 1 × 2: 4x + 8y = 12 — 3 -4x – 3y = 3 — 4 3. Add or subtract the two equations to eliminate the terms with the same coefficient. 3 + 4 0x + 5y = 15 4. Solve the resulting equation. 5y = 15 ﬁ y=3 If the

c. change in y 15 1 1 Find ‘m’ (gradient) ‘m’ = change in x = 30 = 2 and ‘c’ (y-intercept). ‘c’ = 15 22. Use these to write the equation in the form y = mx + c. 1 y = 2 x + 15 y 30 y-intercept, “c” = 15 Change in y = 15 25 20 15 Change in x = 30 10 5 0 0 5 10 15 20 25 30 Remember y = mx + c — it’ll keep you on the straight and narrow... Remember the steps for drawing graphs and finding the equations. And try these questions. Q1 Draw the graph of x = 2y + 4 for values of x

should have no ‘gaps’, so are often written using inequalities (see p107). 3) Whatever the data you have, make sure none of the classes overlap and they cover all the possible values. Jonty wants to find out about the ages (in whole years) of people who use his local library. Design a data-collection sheet he could use to collect his data. Age (whole years) Tally Frequency Include columns for: the data values, ‘Tally’ to record 0-19 the answers and ‘Frequency’ to show the totals. 20-39 Use

| | | | | | Cumulative frequency 130 To Find the Vital Statistics... 120 1) MEDIAN — go halfway up the side, across to the curve, then down and read off the bottom scale. 2) LOWER AND UPPER QUARTILES — go ¼ and ¾ up the side, across to the curve, then down and read off the bottom scale. 3) INTERQUARTILE RANGE — the distance between the lower and upper quartiles. 110 100 90 80 70 60 1) The halfway point is at ½ × 120 = 60. Reading across and down gives a median of 178 cm. 2) ¼ of the way