From **Jonny Griffiths** a new publication – **Digitisers**.

What a great puzzle! Jonny Griffiths is aiming these puzzles (which always have a unique solution) at late GCSE/early A level Maths students. As Jonny says, this type of puzzle seems to engage students fast, making a great starter that revises important theory quickly; the aim of a Digitiser puzzle is to both practice and teach (or reteach) a piece of mathematics,

The image shows a simple sample task, you can find the solution on his **website**. The **Digitisers pdf file** is free. Clear instructions explaining the puzzles and notation used are given, we then have all the tasks by topic to help you pick your task – brilliant! Each task has a difficulty rating from 1 to 3 stars. Full solutions are provided.

This is a wonderful resource – puzzles like this go down well with students, but to have them all clearly by topic is perfect – thank you Jonny, for yet another amazing resource!

Choose Completing the Square for example and we have:

Staying with starters for A level, for linear A Level courses **Retrieval Practice** is essential. From crashMaths, these **AS Maths Key Skills Check worksheets **are very valuable for Year 13 in the second year of their A Level course. The Skills Checks are all on Pure Mathematics and make ideal lesson starters.

When working through solutions, take every opportunity to illustrate with technology.

**Andy Lutwyche’s collection of Erica’s Errors** where students must identify errors in solutions can be an ideal starter for either retrieval practice for an earlier topic or to consolidate learning for a current topic.

**Stoke Maths MEP Starters** are very attractively presented high-quality resources. Looking at the Spot the Mistake PowerPoints for example, as you can see in the image below there are a great collection of questions that include full answers. It’s great to see Mechanics and Statistics collections. The revision question starters provide very useful question sets.

From Ben Bently, comes a **collection of low stakes quizzes** using questions from Diagnostic questions.

On Transum try **Advanced Starters**, some of which I think could be useful for students aiming at the highest GCSE grades as well as for Advanced Level students. The problem, **Find the Radius**, illustrated in the tweet is very neat!

Looking at the **Main Transum Starters page** I see at the foot of the page we have various categories of starters including the **Advanced Starters**. I see many starters here I like, looking at **Coordinate Distance**, I can never resist a **Desmos page** to illustrate a problem! This starter could be also be used to review some coordinate geometry – find the midpoint? Find the equation of the line?

On **Jethwa Maths** you will find starters for Mathematics and Further Mathematics A Level.

From OCR (MEI) their **Foundations of Advanced Mathematics **level 2 qualification covers arithmetic, algebra, graphs, trigonometry and statistics. Assessment is by a two-hour examination that consists of 40 multiple-choice questions. **As OCR suggest** these questions could be used for diagnostic tests.

Choose **Past Papers, mark schemes and reports**. Papers and mark schemes from June 2007 are freely available.

We could of course illustrate the solution well with the use of **a little use of technology**!

A source of multiple choice A Level questions, particularly for **Pure Mathematics is Diagnostic Questions**; see for example this quiz I created on **Logarithms and Exponentials**.

**The UKMT Maths Challenge** questions are excellent for students of all ages. **This post** includes a selection of links and resources to access the Maths Challenges.

For superb resources for the Oxford Admissions test multiple choice questions see these **Underground Mathematics Review Questions** where you will find not only the questions but suggestions and complete solutions.

A trip down memory lane! (Edexcel’s Emporium has some papers from this era.)**University of London June 1986 Mathematics 1**

At the start of my teaching career I really liked the first paper of the Mathematics A level from the University of London School Examinations Board – thirty multiple choice questions to complete in one hour, 15 minutes.

For questions 1 to 20, candidates had to select one answer from 5 and for questions 21-30 the instructions were as follows.

**University of London June 1986 Mathematics 1**

The pdf file here has the paper, followed by the exam board answers followed by notes from the 1986 version of me! These days I would illustrate with Desmos and/or WolframAlpha for example as well where appropriate.

Note the comment from Graham Cummings below, there are further papers available in the Edexcel’s Emporium:

The Emporium has some 17 multiple-choice question papers from the period 1988-1992 – by no means a complete set, but they range across the Mathematics, Further Mathematics, Pure Mathematics and Applied Mathematics syllabuses. You can find them in the “Pre-C2000” cabinet within GCE AS/A Level.

Signing up to **Mathematics Emporium** is highly recommended, note that it is a free website intended for the use of teachers of mathematics in secondary schools, * regardless of what board you use*.

**Register for an account**and ensure you supply a correct centre e-mail address in your name for verification, your centre name and centre number.

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