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

Several revision Powerpoints and mixed revision worksheets. Many topics covered but in particular Binomial Theorem, Complex Numbers, Partial Fractions, Euclid and Proof. All with either short answers or full solutions Includes topic-specific revision material on the following topics, as Powerpoints and PDFs. Binomial Theorem Complex Numbers Binomial Theorem and Complex Numbers Loci of Complex Numbers Matrices Number Theory Partial Fractions Indices (revision of easier material to help with binomial theorem) Sequences

Many powerpoints, worksheets and a homework with mixed revision questions. Topic specific revision questions on the following topics, as both Powerpoints and PDFs. Circles Complete the Square Differentiation Functions Log Graphs M=tan theta Polynomials Straight Line Straight Line & Functions

The key to exam technique in mathematics is to solve each problem multiple times, using independent methods. You also want an independent check. Mathematicians hate to get things wrong! This presentation and activities will help your students from making mistakes.

A series of examples and questions on the following topics: Express a change in value as Percentage Calculate Compound Interest Reverse Percentage Change Appreciation/Depreciation by a Percentage Provided with solutions

A two page Power Point with questions revising arcs and sectors.

A series of about 30 Power Points each with mixed starter activities testing basic numeracy of: - whole numbers - fractions, decimals, percentages - money - graphs - symmetry

This is an investigation for pupils to discover that the more sides you have on a polygon, the closer the area comes to that of a circle. In fact, using polygons was how people once estimated pi. Skills used - trigonometry - area - algebra - Pythagoras Full solutions included.

A booklet for pupils to fill in with practice questions on curve sketching, of trig graphs and log graphs. Includes translating graphs. Q1 & Q2 are taken from past papers. Q7 and Q8 are left blank for extra questions. Full solutions at the end.

Three resources: A Powerpoint with questions and answers, alongside video solutions. The following questions are solved: finding the mean of a sample finding the variance of a sample estimating population mean from a sample estimating population variance from a sample Mean and Varirance questions by P Benson for which I’ve written out solutions Expectation Algebra questions

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

This is a five round team quiz that takes about 50-75 minutes to do completely. The questions are not too serious and everyone should be able to have a good guess. Full solutions included. (Updated 2022)

Eleven fun questions based on the Scottish Advanced Higher Statistics course, also applicable to the English Statistics A level. Questions are on a Powerpoint and full solutions on a PDF. Topics covered include: conditional probability, regression analysis, confidence intervals, paired t-test, Poisson distribution, Binomial distribution, Chi-squared distribution, Continuous uniform distribution and Normal distribution. Edit: updated May 2023

There are two comprehensive worksheets here practicing basic skills with decimals. Pupils can work individually going through the questions as revision. Full solutions included.

A whole class activity to practise basic skills of adding and subtracting, multiplying and dividing. Three different difficulties.

A Powerpoint presentation I used to introduce a class of smart 16 year olds to some of the simple visual aspects of Topology, with plenty of pictures, strange facts, and links to videos.

Three Powerpoints with simple questions on percentage change finding a percentage -percentage increase or decrease with extension questions on reverse percentage Edit: added another powerpoint of mixed questions, a summary sheet, and a worksheet

A fun activity to practice learning about the straight line. Includes - drawing graph from data points - working out the gradient - working out the y-intercept - working out the equation of a line from the graph - using the equation to interpolate missing points Solutions included

Proofs of some of the key formulas in Advanced Higher Statistics. Not required for the course but some pupils (and teachers) may find it interesting. proof the two ways of writing the variance formula are equivalent proof that using the ‘divide by n-1’ formula gives the best estimate of a population variance proof of Bayes Theorem proof of laws of expectation and variance proof of the origin of the Poisson formula, and of the mean and variance proof of mean and variance for uniform discrete proof of mean and variance for uniform continuous proof that using proportions and the normal approximation to a binomial are equivalent proof a line of best fit goes through the average point proof the line of best fit gives the least squares proof of SSR formula proof in bivariate analysis DF=n-2 proof test slope parameter nonzero and coefficient of correlation nonzero are equivalent

Thirteen homeworks each with full solutions, covering the following areas of the course. 1 - Probability 2 - Probability, Sampling, Binomial 3 - Probability, Sampling, Binomial 4 - Binomial, Normal, Poisson #1 5 - Distributions 5a - Distributions and Regressions 6 - Hypothesis Test 7 - Normal Approximation 8 - Control charts, Confidence Interval, Fences 9 - Mean and Variance 10 - Binomial, Normal, Poisson #2 11 - Z and T tests 12 - More Distributions 13 - Wilcoxon and Mann Whitney For some of the homeworks (2,3,5) I have made slightly different alternative versions and they are included too. Update: homeworks 2,5,7 updated March 2023