Fraction decimal and percentage conversions for QTS Numeracy test

Most students tell me they had questions about fraction, decimal and percentage conversions come up in their QTS Numeracy test, particularly the Mental Arithmetic section. The conversions in the sheet below are especially useful — make the test far easier for yourself by memorising them!

For example, a student scores 34 out of 40 in a test. What is her percentage score? We can cancel down 34/40 to 17/20, and the conversion list tells us this is 85%.

In a year group of 56 students, 37.5% speak English as an additional language. How many children is this? We know 37.5% is 3/8 so 56 ÷ 8 = 7 is one eighth and 7 x 3 = 21 is three eighths, and the answer is 21 students.

This list is based on one in Mark Patmore’s excellent “Passing the Numeracy Skills Test” book, but I added more based on feedback from students about questions on their actual tests. For instance, Patmore lists the conversions for 1/8 but several people have needed 3/8, 5/8 or 7/8 — it’s best to know them beforehand, as it saves trying to calculate them mid-test from the 1/8 conversions! You may also be interested in my comparison of books for QTS numeracy, and my compilation of advice and resources for the QTS Numeracy test, including other free worksheets.