Chancing upon **this tweet from Transum** proved fortunate. Hidden gems indeed, I had not noticed the **Advanced Starters** before, 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 recommend exploring!

The **Custom Starter** allows teachers to select the number questions and the topics to include; scroll down the page and choose the topics you want from the Concept Selection.

It is possible to save a particular selection of topics as the **URL for your selection** will be generated. It is also possible to drag the panels so your questions are displayed in the desired order. The beginning of a lesson can be an ideal time to review previous learning, starters like this can be ideal.

(The excellent **MathsBot** site also provides **Starters** which can be customised.)

Back with the **Advanced Starters**, **Angle Thinking** provides a good way to review Trigonometric graphs. To solve the given problem, students can experiment with their calculators. Hopefully, students should see just how useful **graphs are to illustrate the problem. **

To find exact solutions we could review trigonometric equations. A reminder here of the **Quadratic Equation calculator** from Math Warehouse, something I use regularly as full working is shown when using the quadratic formula.

Some further problems which caught my eye, we could try **Average Cycling speed** with GCSE students aiming for the highest grades. I think I’ll try **Algebraic Product** with all my classes next week!

A problem such as **Reverse Connection** could be used with a variety of students, older students could look at an algebraic proof.

The numerous high quality resources on this site are all completely free to use. A **subscription** offers further features.