Many games can make excellent starters – see Maths Games and Puzzles
See Connect Three, Multiplication (both Nrich), Make 24, Sumdog and Make 1000 under Number for example.

The Countdown Numbers (and letters) game can be played online on the Woodlands Junior School site. Excellent programs for both games can be downloaded free from Chris Farmer’s CSF software site.

Sitalakshmi Seshadrinathan’s  Gymnasium for Brain has an extensive collection of puzzles with clear solutions. She also has a section on speed maths (Vedic).

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