Content
| Algebra | |
| Arithmetic | |
| Consumer mathematics | |
| Formulas | |
| Functions | |
| Geometry | |
| Logarithms | |
| Number notation | |
| Percentages | |
| Probability | |
| Rounding and estimating | |
| Sequences | |
| Statistics | |
| Units | |
| Vectors | |
| Visualising data | |
| 182 items | |
| Prime numbers | 17 Jun 2025, 7:56 a.m. |
| Rationalising the denominator - surds | 18 Jun 2024, 10:49 a.m. |
| Christian's copy of Arithmetic operations | 13 Jun 2024, 1:18 p.m. |
| … | |
Material created by students working with the School of Mathematics, Statistics & Physics E-Learning Unit at Newcastle University over the summer of 2017, to support students making the transition from school to university.
Project activity
Bradley Bush on Expansion of brackets 8 years, 6 months ago
Gave some feedback: Needs to be tested
Bradley Bush on Inverse and composite functions 8 years, 6 months ago
Gave some feedback: Needs to be tested
Bradley Bush on Extract common factors of polynomials 8 years, 6 months ago
Gave some feedback: Needs to be tested
Vicky Hall commented on Quadrant coordinates MCQ 8 years, 6 months ago
I have swapped the $x$ and $y$ part b) of the advice so it says:
$X$ axis when the $y$ coordinate of the point is zero.
$Y$ axis when the $x$ coordinate of the point is zero.
Vicky Hall commented on Simple interest 8 years, 6 months ago
I think this should be split into two questions, one on simple interest calculations and the other on compound interest calculations (which I would actually call exponential increase and decrease - if you consider your mobile phone question, there is no interest involved).
The question on exponential increase and decrease could potentially have three subparts to fully cover the subject. The first part would be the mobile phone question as it stands. Secondly, you could ask after how many months will the phone be worth £$x$? Thirdly, if a different phone was originally worth £$y$ and after $z$ months it is worth £$w$, by what percentage did its value decrease each month?
In the steps for calculating compound interest, it would be better to finish by showing that if we decrease something by $5$% three times, this is the same as multiplying by $0.95\times0.95\times0.95=0.95^3$. Showing students how to work with powers could save them a lot of time if the increase/decrease needs to be performed several times, plus it gives them a way to solve variations on the question.
Bradley Bush commented on Inverse and composite functions 8 years, 6 months ago
Thank you for the feedback, I've done pretty much everything you've asked but I am unable to fix the scroller as it is an internet explorer issue. I have also left the last line of e) because i think it is still a useful piece of extra information and eads nicely onto the nexgt question.
Lauren Richards on Basic arithmetic operations: addition and subtraction 8 years, 6 months ago
Gave some feedback: Has some problems
Lauren Richards commented on Basic arithmetic operations: addition and subtraction 8 years, 6 months ago
- The multiplication questions I got in part a) were enormous and I doubt that someone would even try to do that in their head, opting instead for a calculator. If they do use a calculator, I don't think they will gain the understanding from this question that it is designed to instil.
- I see you have set the marks for each question in a) as 0.25/question. I think this might be a little low and it looks a little strange when you get all the questions correct to only get 1.75 marks for doing 7 questions, regardless of the difficulty of the actual questions.
- Part b statement does not require a colon. I think it should be a full stop instead.
- I think the tables in the advice are excellent, and a really good idea.
- In the advice, you do not need the 4th word.
- In part b) of the advice, I think I would capitalise the second "Symbol", even though it might not be correct, it will look better. Maybe full stop each of the Symbol lines to make it correct.
- Just a suggestion, but you could create some sort of number line to show your answer in part b)ii).
- Make sure to full stop after i), ii) and iii) in part b) advice.
Stanislav Duris on Simple interest 8 years, 6 months ago
Gave some feedback: Needs to be tested
Aiden McCall on Quadrant coordinates MCQ 8 years, 6 months ago
Gave some feedback: Needs to be tested
Stanislav Duris on Always, sometimes or never: square and cube numbers 8 years, 6 months ago
Gave some feedback: Needs to be tested
Bradley Bush on Solving linear inequalities 8 years, 6 months ago
Gave some feedback: Needs to be tested
Bradley Bush commented on Solving linear inequalities 8 years, 6 months ago
Thank you for the feedback, I think all the errors which you've highllighted should have been resolved by now.
Elliott Fletcher created Basic Probability Questions 8 years, 6 months ago
Elliott Fletcher on Use the factor theorem to identify factors of a polynomial 8 years, 6 months ago
Gave some feedback: Needs to be tested
Hannah Aldous commented on Inverse and composite functions 8 years, 6 months ago
just a few things to comment on:
maybe you could consider changing your title to include a reference to composite functions?
I don't know whether you'd consider a longer statement, maybe explaining what an inverse is and how you find one from an equation/what it might be used for
question d I would maybe separate f(x)...\\and\\g(x)... and then align them
in f you have a comma after c) you either need to remove it or place a comma after your equation
in f typo 'exsist'
with your answer s for f I'm unsure as to whether you need all those full stops as they are not full sentences.
in you advice especially part a it might be nice to have a little explanation as to what you are doing eg what is y
part a of advice is not currently a sentence, maybe you want to expand the first line of both sightly
I'm not sure you need to repeat your questions down in the advice but that is up to you
maybe in advice of d state what g(x) is before you subsitute it
in the advice of e there is a scroller, not sure what it is for and why it is there
not sure you need the last line of e is necessary as it isn't the final solution
Elliott Fletcher commented on Simple interest 8 years, 6 months ago
I think this is a good question, it is reasonably challenging and well constructed.
Main Parts
a), b) I think you should add a hint for the precision required, even though i know the units are in pounds and there only should be two decimal places, but i would still include a hint saying give your answer to two decimal places.
b) i'm not entirely sure about this but i don't think the steps you give here are entirely relevant, as the steps show an increase in money every year whereas the question is about money decreasing monthly.
Advice
a) I would say "This is the money we would get if we withdrew the whole savings balance today" instead
b) you have an & where there should be a %
When you say "we multiply the original price of the smartphone by our multipliers 12 times", i think this should be "multiplier" (singular) and then "as there are 12 months in a year" rather than "as there is 12 months in a year"
a) and b) i think you should add a £ symbol to your final answers in the advice section just to make it clear that this is an amount of money.
Otherwise, this looks pretty good!
Hannah Aldous on Inverse and composite functions 8 years, 6 months ago
Gave some feedback: Has some problems
Christian Lawson-Perfect on Arithmetic sequences in an ice cream shop 8 years, 6 months ago
Gave some feedback: Has some problems
Christian Lawson-Perfect commented on Arithmetic sequences in an ice cream shop 8 years, 6 months ago
In part c, I'd ask the student to give an expression for $a_n$ in terms of $n$ before getting them to compute a value. (Or, ask for $a_n$ at a particular small $n$ to check they've got the correspondence right, then ask for an expression, then calculate $a_n$ for a given big $n$)
Part d smells a lot like a fake context. Suppose you're Jenny, and you want to know how many other customers have had the strawberry ice cream before you. What information do you have? You wouldn't be told "the 1st, 6th, 11th, ... customers receive strawberry". You'd either be told "there are five flavours, and the shops cycles through them", or you'd notice that people 5 and 10 places in front of you in the queue also got strawberry. You also need to give a reason for Jenny to know which number customer she is.
Maybe turn it around slightly: Jenny counts $x$ people buy ice creams before her, and the people $y$ and $y+a$ places in front of her got strawberry. How many people were given strawberry before Jenny?
Queues
Item status
| Ready to use | 151 |
| Should not be used | 12 |
| Has some problems | 3 |
| Doesn't work | 0 |
| Needs to be tested | 13 |
| Draft | 3 |