If you are a primary trainee, you must demonstrate a knowledge of mathematics to be recommended for QTS. This popular, widely recommended text helps you audit your knowledge of mathematics and understand what learning you need to pass your course. A rigorous test helps you identify your strengths and weaknesses and can be revisited at key stages in your course as a tool to monitor and evaluate progress. The fourth edition has been updated in line with the new National Curriculum, includes more information on expanding and developing your knowledge of mathematics and is linked to the newest Teachers&rsquo; Standards.

# : Answers to test questions

### Number

• This can be solved mentally. Multiplying by 5 is the same as multiplying by 10 and dividing by 2.

120 is the product.

• This can be solved mentally. Multiplying by 25 is the same as multiplying by 100 and dividing by 2 and dividing by 2 again.

1800 is the product.

• 312 × 235 = 73 320

This problem needs to be solved by using a long multiplication algorithm.

$\begin{array}{cc}& 312\\ ×& \underset{_}{235}\\ & 1560\\ & 9360\\ & \underset{_}{62400}\\ & 73320\\ & 111\end{array}$
• This problem can be solved without using an algorithm.

The dividend, 1760, and the divisor, 40, have a common factor of 10.

1760 ÷ 40 is the same as 176 ÷ 4.

To divide by 4 we half and half again.

The quotient is 44.

• This problem can be solved without using an algorithm.

The dividend,1638, and the divisor, 63, ...

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