A Powerpoint (or PDF) of algebra problems that involve ages. These are hard enough that they need the equations to be written out in full. Some need simultaneous equations to solve. Solutions given.

A set of practice tests all provided with full solutions. Some are whole course, some cover specific aspects of the course, some with self-assessments too. AH Statistics Past Paper Questions Test AH Statistics Practice Test 1 AH Statistics Practice Test 2 (full course) AH Statistics Practice Test 3 AH Statistics Practice Test 4 (Sampling, Prob, Binomial) AH Statistics Practice Test 5 (Data Analysis) AH Statistics Practice Test 6 (full course) AH Statistics Practice Test #7 (Distributions, Regression, CLT, Confidence Intervals, T tests) AH Statistics Practice Test #8 (Probability, Normal Dist, Wilcoxon, Mann-Whitney, Chi-Squared) AH Statistics Practice Test #9 (Probability, Sampling, Data Display) AH Statistics Practice Test #10 AH Statistics Practice Test #11 AH Statistics Practice Test #12 (t-tests) AH Statistics Practice Test #13 (no t-tests) AH Statistics Practice Test #14 AH Statistics Practice Test #15 (no non-parametric) AH Statistics Practice Test #16 AH Stats Practice Unit Assessments AH Stats English PPQ - Part 1 (Sampling, Prob, Mean and Variance, Normal Dist) AH Stats English PPQ - Part 2 (Binomial, Poisson, Conf intervals, Chi Squared, Mann Whitney, Wilcoxon, Regression) AH Stats Unit Assessments Edit March 2023: updated Practice Test 4 Edit: December 2023: added #14-15, Edit: March 2024: added #16

Four worksheets of vectors questions all with full solutions Vectors #1 Column Vectors - writing as a column vector Vectors #2 Addition and Magnitude - add, subtract, find magnitude in 2D and 3D Vectors #3 Pathways and Coordinates - reading pathways, midpoints, 3D coordinates (answer fixed June 2024) Vectors #4 Mix - magnitude, adding, 3D coordinates, pathways

Four probability resources: Conditional Probability with tree diagrams, Conditional Probability with Venn diagrams, Conditional Probability with Set Notation, Deadly disease probability question A short video explaining how to solve a conditional probability problem using tree diagrams. A video using a Venn Diagram to determine if the events are independent, mutually exclusive, and calculate some conditional probabilities. This is done alongside calculating with a table. Practice questions with solutions using Set Notation A classic question on probability with a rare disease

A Powerpoint of Pythagoras questions covering the following topics: Squaring and square rooting Solving the equations that result from Pythagoras equations Finding long and short sides on triangles(with and without a calculator) ‘Double Pythagoras’ with two applications 3D Pythagoras with a space diagonal Distance between co-ordinates Converse of Pythagoras Answers at the bottom of each slide

Powerpoint questions on the following topics. Binomial Chi squared Confidence Intervals Continuous Uniform Distribution Discrete Uniform Distribution Mean and Variance Poisson distribution Proportion Regression Transforming Variables All with full solutions

This is a thought provoking activity about how many variables are needed to describe a shape. For example, if you don’t care about size, rotation or position all squares are the same. To define size, one variable is needed. To define rotation, one variable is needed. To define position in the 2D plane, two variables are needed. So to fully define any square requires four variables. There are many possible different choices for these four. (Updated 2023)

A page of questions on the following substitution expanding brackets inequalities forming and solving equations Solutions included Edit: added a Powerpoint of similar questions Edit: added a further dense page of questions

A set of six challenging problems where pupils must use all the digits 1-9 exactly once each, for example: Find two three-digit numbers that sum to another three-digit number Solutions provided.

This is a series of questions aimed at making pupils more comfortable with dealing with formulas with fractions in them. I made this worksheet in response to a very bright class who had no problems with most formula but struggled rearranging fractions. Full solutions included. Edit: added powerpoint of extra questions Edit: added some textbook change the subject questions with answers

Two pages of Powerpoints with answers on simple questions like If f(x)=3x+4, find f(5) Then tests fractions and negatives, and finally more difficult questions like If f(x)=3x+4, and f(a)=19, find a

A Powerpoint with five routine questions on Integrating factor. Provided with answers.

A bumper set of numeracy questions, all with full solutions. Arranged in roughly increasing order of difficulty. Numeracy Assessments: #1 - Types of Number, Negatives, Fractions (55 marks) #2 - Mostly fractions (100 marks) #3 - Fractions, Negatives, LCF/HCM and some algebra (50 marks) #4 - Fractions, LCM, HCF, Algebra, Negatives, Multiplication, Percentages (40 marks) #5 - Fractions and Percentages #6 - Fractions and Percentages Numeracy Practice Tests: #1 - BOMA, Negatives, Decimals, Units, Area & Perimeter #2 - BOMA, Negatives, Decimals, Units, Area & Perimeter, Fractions Factors & Multiples #3 - BOMA, Negatives, Decimals, Fractions, Factors & Multiples, Long Multiplication Numeracy Practice Questions: #1 #2 - Negatives, algebra, fractions, percentages, Pythagoras More Practice Tests #1 - Fractions, Decimals, Percentages Pythagoras #2 - Fractions, Decimals, Percentages Pythagoras, Rounding #3 - Fractions, FDP, Pythagoras #4 - Fractions, FDP, Pythagoras, Algebra #5 - Fractions, FDP, Pythagoras, Algebra #6 - Fractions, FDP, Pythagoras, Percentages, Algebra #7 - Ratio, Substitution, Indices, Fractions, Percentages, Equations, Brackets, Inequalities #8 - Ratio, Substitution, Indices, Fractions, Percentages, Equations, Brackets, Inequalities #9 - Ratio, Substitution, Indices, Equations, Brackets, Inequalities, Statistics #10 - FDP, Pythagoras, Percentages, Algebra #11 - FDP, Pythagoras, Percentages, Algebra #12 - FDP, Pythagoras, Percentages, Algebra #13 - Pythagoras, Algebra, Circles (Calculator) #14 -Algebra, Circles, Angles #15 - Prime Factorisation, Angles, Fractions, Rounding, Forming and Solving Equations #16 - Prime Factorisation, Angles, Fractions, Rounding, Statistics, Area and Perimeter #17- Percentages, Angles, Circles, Solving Equations, Statistics, Function Notation, Area #18 - Angles, Circles, Function Notation, Pie Charts, Bar Charts #19 - Numeracy, Angles, Function Notation, Statistics, Pie Charts #20 - Numeracy, Angles, Functions, Statistics, Pie Charts #21 - Numeracy, Equations, Regular Polygons, Angles, Pie Charts #22 - Numeracy, Equations, Regular Polygons, Angles, Pie Charts (Calculator) More practice Mixed Harder Numeracy.pdf Mixed Numeracy Practice.pdf Numeracy Extended Test.pdf

A set of five harder problems about finding the mean which involve pupils using the fact that the total is the number of data points times the mean (or using algebra). Provided with solutions.

A set of 13 practice assessments covering all aspects of the National 5 Course. Each one is laid out with space for write-on answers, and provided with solutions. Edit: Added assessments 14-17

Two extra tasks for pupils doing the Higher Statistics Module. Task 1 is using Excel to analyse some Covid infection data using regression analysis. This has example solutions inline. Task 2 is conducting a survey . Included are example model solutions…

A teacher-led Powerpoint investigation into randomness to be done at the end of a topic about probability. The five short topics are Pick a random number Heads and Tails experiment Lottery Random numbers Digits of Pi What is randomness? The aim is for pupils to understand that ‘random’ isn’t truly random after all!

A Powerpoint with the classic Monty Hall Problem, then variations with a multiple choice questions one hundred doors ten prisoners Solutions in the notes at the bottom of the Powerpoint slides

A Powerpoint introducing the following tricky problems for pupils to think about. -99 Coins 100 Seats on a Plane Special dice Expected wait time Pascal’s Wager Solutions in the notes at the bottom on the Powerpoint See also my resource on Monty Hall Problems

A Powerpoint introducing the basic game of Dobble, then delving deeply into how to arrange the symbols on the cards so that each pair of cards matches exactly once. Pupils will be able to make their own mini Dobble sets, with 7, 13, 21 or even up to the full 55 card set. This introduces uses the following areas of mathematics 2D geometry of lines and planes Magic squares and Latin squares