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Higher Apps of Maths 2025 data booklet questions
MrGrayMathsMrGrayMaths

Higher Apps of Maths 2025 data booklet questions

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There is no guarantee these are the questions that will be asked. The purpose of this task is to get pupils used to reading the data booklet and thinking about the information presented. Credit to “@clellandmaths” for the csv file. EDIT: Note there is a wee typo in the spreadsheet (“CO2” heading in the table should read “mass (g)”).
Volume and capacity painting tray task
MrGrayMathsMrGrayMaths

Volume and capacity painting tray task

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A “how many Xs can you fill from Y” and volume of a cuboid task in the context filling painting trays from tins of paint. Aimed at a Scottish N4 Applications of Mathematics (Geometry unit) class .
Graphing continuous data (Spotify playlist data): Higher Applications of Maths
MrGrayMathsMrGrayMaths

Graphing continuous data (Spotify playlist data): Higher Applications of Maths

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Pupils use histograms and boxplots to illustrate various continuous numerical variables in RStudio using a csv dataset. Variables are values Spotify uses to categorise songs. Songs in the dataset and taken from a playlist. A bit of fun included asking pupils to pick some songs that would suit the tastes of the person who created the playlist (me!). If you use this and pupils make suggestions let me know on Twitter at @bucksburnmaths. To give pupils an idea of what tempo feels like I play them Juice by Lizzo which is 120 bpm. Also played them You Suffer by Napalm Death (1.3 seconds long) and Mogwai Fear Satan by Mogwai (16 minutes long) as a way of talking about outliers. Plus, any excuse to talk about the 1980s grindcore scene!
Pearson correlation coefficient tasks: Higher Applications of Maths
MrGrayMathsMrGrayMaths

Pearson correlation coefficient tasks: Higher Applications of Maths

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Two tasks: One calculating the Pearson correlation coefficient by hand. A right pain in the backside and shows why we use computers to do such a thing (worth noting doing this by hand is something that could be assessed if doing Level 6 Numeracy). One getting pupils used to coding the correlation coefficient using statistical software (using the attached csv dataset) and seeing what it means in terms of the regression line without context getting in the way.
Correlation and causation: Higher Applications of Maths
MrGrayMathsMrGrayMaths

Correlation and causation: Higher Applications of Maths

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A task which involves generating scatterplots and correlation coefficients using nutritional information from a McDonalds menu. Worksheet and csv dataset. Points of interest: Menu is from America leading to a discussion about how useful is it for use in UK High number of breakfast items and low number of burgers doesn’t reflect common perception of McD’s menu Sodium (ie salt) and calories have a strong correlation but this is a spurious relationship (salt has no calories) with portion size being a possible confounding variable
Pythagoas and Cuisenaire rods
MrGrayMathsMrGrayMaths

Pythagoas and Cuisenaire rods

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A powerpoint to lead discussion introducing Pythagoras with Cuisenaire rods. A bit rough and ready / stream of consciousness in places but hopefully may be useful giving others some ideas / inspiration.
Fractions, decimals, percentages, diagrams
MrGrayMathsMrGrayMaths

Fractions, decimals, percentages, diagrams

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Trying to link fractions, decimals, percentages as well as making connections / laying foundations for ideas such as calculating percentages of amounts using blocks of 10% and 1%, division by 10 and 100, adding fractions, place value.
Area and algebra
MrGrayMathsMrGrayMaths

Area and algebra

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Expanding a single bracket, linked to area of rectangles, compound shapes, and cuboid surface area. A bit rough and ready being hand drawn on the ipad but some good questions in it nevertheless.
Probability - combining probabilities
MrGrayMathsMrGrayMaths

Probability - combining probabilities

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A selection of problems look at combining probabilities by listing outcomes in a table or with tree diagrams. First questions are independent events, final two need more care (ie event 1 impacts event 2). Editable word doc and pdf.
National 4 (N4) Mathematics: Expressions and Formulae 1.1, 1.2, 1.3 pupil notes
MrGrayMathsMrGrayMaths

National 4 (N4) Mathematics: Expressions and Formulae 1.1, 1.2, 1.3 pupil notes

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Smartboard files for use on an interactive whiteboard. PDF versions of the same file for printing as booklets and issuing to pupils. Notes contain examples for teachers to go over on the board and some tasks for pupils to do. Questions and examples have been sourced from various resources so make sure you’re not issuing the same task twice! At the end of these there are also revision questions and a checklist for pupils to “traffic light” their learning. DISCLAIMER: There are most likely errors in here as I’m bad at proof reading my materials so read and check over before using!