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Textbook errors - Y2 Pure:
https://docs.google.com/document/d/1RtvYyMvLvfX7pWzHYhX-BZqOpZLtjyYr/edit#bookmark=id.1fob9te
updated July 2022 for third printing
Check carefully in chapters 9 and 11 as some that have “Pearson Pearson” at the top of the spine still have an incorrect ch9 Example 18, and ch11 Exercise 11L missing.
Exercise 1B, question 5b, page 7
Early printed copies have an incorrect solution in the back, now corrected.
The worked solutions and all online versions are correct with x = (10e2 + 4)/(1 - 2e2)
Exercise 1D, questions 4 to 6, page 11
In the original book and answers, questions 4 and 5 are the same as question 6 a & b.
In the reprint and online, they have just removed question 6 a & b.
Exercise 2C, question 9c, page 35
Book correct, worked solutions do a different question.
Exercise 2D, question 5, page 38
The question has function t but the original printed solution uses function f
This has been corrected online and in reprints
Exercise 2D, question 7a, page 38
This has a solution that function h “tends to infinity”. Strictly it should state “h tends to negative infinity as x approaches 2 from below, and h tends to positive infinity when x approaches 2 from above”. This is needed when considering how to sketch the function.
This has been corrected to “tends to +/- infinity” in reprints and online
Exercise 2D, question 11, page 39
The graph in the book answers has intercepts of 1.6 instead of the accurate value ln 5.
This has been fixed online and in reprints.
Exercise 2G, question 3, page 51
The student online book gives q(x) = -3|x| + 6 and asks for a sketch, and when y < q(x)
The answer in the book has a correct graph but misses off the values y=6 and x=2 and x=-2. It correctly shades the region below the graph with a dotted line.
The teacher book online and the new printed book has a totally different question! It gives q(x) = 6 - |3x + 9| and where y < q(x). The solution it brings up, and in the back of the teacher book, are the correct answer for that question, with roots at -5 and -1 and a solid line.
The worked solutions on Solutionbank match the teacher book question and answer. What a mess!
Exercise 3B, question 1a, page 64
The book says “3 + 7 + 11 + 14 + …” which should be “3 + 7 + 11 + 15 + …”
This has been fixed in reprints and online
Exercise 3C, question 3, page 69
For the answers to be correct, the question should read “the first three terms of a positive geometric sequence”.
This has not been fixed online.
Chapter 3, page 73
The book says "Now consider the sum of the geometric series 1 + ½ + ⅛ + 1/16 + ..." which omits the value of ¼.
This has been fixed in reprints and online.
Exercise 3E, question 6, page 75
The Hint box should have recurring dots above the 0.23
This has been fixed in reprints and online
Exercise 3F, question 6, page 78
The version in the student e-book has 15 terms, in the teacher e-book and latest printing, 30 terms. The worked solution has 30 terms, so take that one as best, but the answer in the student e-book matches their question, so they may not notice.
Exercise 3H, question 4, page 82
This recurrence relation question gives values that mean it could be periodic order 1 or 2. You get the equation (5p + 8)(p + 1) = 0 so p = -1.6 or p = -1.
The first value gives the sequence 5, 5, 5, … and the second 5, 8, 5, 8, …
This is why p must be -1, and this is what the online books say.
Seemingly to remove this ambiguity, the worked solutions use q=10 instead, so the value for p is a repeated root of -1. The sequence is then 5, 5, …
See the problem? It’s now periodic order 1. So the question has been ruined.
Use q = 13.
Exercise 3I, page 85
The book is inconsistent on whether length of time should be an integer. For days they seem to round up, but not for years. If it is annual interest, the year should always be rounded up to the next integer, because it won’t happen before then
Whatever their calculator says, they should write down, and then make it clear it is after a whole number of years. This applies to questions 6b and 11.
eg q11 “n=20.15 so it will double in the 21st year” or “at the end of the 21st year”
Review Exercise 1, question 29d, page 110
The company is matching the £5 contribution from employees, so when it says the “total charity donation” they should multiply the number of employees by £10 not £5. The worked solutions have many formatting errors, and only multiply by 5. The correct answer should be £316,339 or £316,000 to the nearest 1000.
Exercise 5A, questions 1 and 5, page 116
All the answers in the book are given in the wrong units. This has been fixed in reprints and online.
Chapter 5, Example 20b, page 133
The numerator on the final 2 lines should be negative, giving the answer -4.
This has been fixed in reprints and online.
Exercise 5F, question 2, page 134
The identities we are trying to show are not equal, they are approximate. The equals sign should be wavy, as in Example 21.
Exercise 6B, question 7, page 149
Part (e) has an incorrect answer, the final part of the graph goes from x=330 to x=360 coming down from the asymptote to a height of 2
Part (f) is a difficult question, but combined transformations f(ax+b) are in the Enhanced Content Guidance, so this is a good example of where to use Table mode on the Classwiz. You can explain f(2x+60) is better thought of as f(2(x+30)) ie a translation followed by a stretch.
Exercise 7G, question 7c, page 191
The question wants a strict inequality (“above 1800”) but the answers online and in the book have equality in the signs. They should be strict <. And the worked solutions are terribly formatted and have £ instead.
Exercise 8A, question 6a, page 201
Thanks to Year 13 at Huntington School, York for spotting an error in the range for this many-to-one parametric function. Even though t=0 is excluded, leading to an asymptote of y=-3, this is a good example of a graph that crosses its asymptote, in this case when t=2, x=3.5, y=-3. So the range should say just y < -2.
Review Exercise 2, question 8, page 226
The book has the wrong area in the question and in the back. The denominator should be 6 not 12. This has been fixed in reprints and online, and the worked solutions are correct.
Chapter 9, pages 248 to 272
Removing the non-examinable topic of inverse trig functions has left a lot of holes, so the book has renumbered examples, deleted questions, and repaginated the whole mess.
Check out the teacher online book yourself to see what it looks like now. Reprints from 2022 also match the new information below.
Short version: Examples 19 and 20 deleted, later ones renumbered. Exercise 9F stops at question 7, has a new question 8, and question 12 becomes 9. Exercise 9I question 2 amended, question 3d deleted. Mixed Exercise 9 omits questions 37 to 39, later ones renumbered.
EXCEPT the student e-book has NOT been amended in quite the same way. Page 248 doesn’t match. Exercise 9F has a different question 8.
There are new versions of the worked solutions to match all this. For Exercise 9F question 8, they have the teacher version x = cos 2y, not the student version proving arccos x and arctan x.
Good luck!
Exercise 9C, question 2c, page 239
The book and solutions are correct, but the working in Solutionbank is wrong. They differentiate ln x to get -1/x, repeated in the next line, but then the minus sign disappears to give the correct answer. This is a good one for checking students are not just copying out solutions.
Exercise 9I, question 2a, page 259
This has slipped through, the derivative of arcsin x can’t be asked for. They could have said “Given x = sin y” but it wouldn’t be in function notation.
Cross out “show that” and replace with “Assuming”.
Exercise 10A, question 6, page 277
The student might “observe” there is a change of sign in the interval [-1, 1] but there really isn’t! So they have 2 errors, one is including an asymptote and deciding this prevents a root, and the other choosing an interval that doesn’t have a sign change. This is not easily fixable!
Exercise 10B, question 6, page 281
The book answer has the wrong decimals: b should have x1 = -1.260, and c should have f(-1.1315) = -0.014… . The other values are correct.
This has been fixed in reprints and online.
The worked solutions for c have a minus sign in front of the positive 0.0024.
Chapter 10, Example 6c, page 284
The two limits are tested in the book, the second < sign should be >.
This has been fixed in reprints and online.
Exercise 11E, questions 1 to 3, page 306
Even though partial fractions don’t appear in the book until Section 11.7 and Exercise 11G, three question parts require their use. So avoid question 1d, 2e and 3c until you have covered that topic.
Exercises 11H, 11I, 11L, page 314 onwards
In the 2022 reprints and the online books, they have tried to subtly add in the extra content on parametric integration. It’s a bit sparse. Page 314 Example 24 has been added. Exercise 11H questions 12, 13, 14 have been added from the “Parametric Integration” extra sheet. Exercise 11I question 8 has been removed to make space. A new section 11.12 Integration as the limit of a sum has been added, with Exercise 11L (3 questions). Mixed Exercise 11 questions 28, 29, 30 have been added from the “Parametric Integration” extra sheet. (And for the sake of completeness, the final q7 from the sheet with the mushroom on it is in Review Exercise 3).
There are new versions of the worked solutions to match all this. Good luck!
Exercise 11H, question 13, page 317
This is one of the parametric questions added online (not in the original book). The question and answer are completely correct, but the worked solutions have 3 errors, a good way to spot students cheating.
The line Using sin 2t = sin t cos t omits the factor of 2, which does not reappear until 4 lines later.
The limits remain as 0 and pi/2 throughout the substitution, but fortunately are the correct ones to use when u is finally replaced by t.
Exercise 11K, question 7b, page 329
The printed book has 200 in the question, and in the worked solutions, and uses 200 in the answer to give e^-50t.
The teacher book, student e-book, and their answers all use 20000, giving an answer with e^-0.5t.
The worked solutions have not been changed so students will be confused where the 200 has come from.
Chapter 12, all pages
Page numbering between the printed book and the online book are out by 1 because of the changes in the previous chapter. It starts online at page 337 instead of 336.
Review Exercise 3, question 3, page 352
The printed and online books have a negative sign in front of the whole expression, but the worked solution doesn’t, so the answers don’t match.