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Maths practice examples for the Quest 11+ Work through decimals, fractions of amounts and common factors with these original Elevenate examples. Each explanation shows the calculation and a way to check it. These are independent teaching questions, not official Quest material.
Examples reviewed 29 October 2026
Read each question, decide on your answer, then open the worked solution. Everything on this page is available without an account. Work through 1. Decimals and capacity 2. Fractions of amounts 3. Common factors A jug holds 1.5 litres of water. Priya pours out 0.65 litres. How much water is left in the jug?
Choose ONE answer.
A 0.15 litres B 0.35 litres C 0.85 litres D 0.95 litres E 1.15 litres Show worked answer Answer: C
Write 1.5 as 1.50. This keeps the tenths and hundredths lined up with 0.65. Subtract 0.60 first: 1.50 − 0.60 = 0.90. Subtract the remaining 0.05: 0.90 − 0.05 = 0.85. Check by adding the water left to the water poured out: 0.85 + 0.65 = 1.50 litres. The answer is C. There are 36 sunflowers in a school garden. Three-quarters of them are in flower. How many sunflowers are in flower?
Choose ONE answer.
A 9 B 12 C 24 D 27 E 33 Show worked answer Answer: D
The denominator is 4, so split 36 into four equal groups: 36 ÷ 4 = 9. Three-quarters means three of those groups: 9 × 3 = 27 sunflowers. The remaining quarter is 9. Check that 27 + 9 = 36. The answer is D; 9 on its own is only one-quarter. Which of these numbers divide both 18 and 30 without a remainder? Choose ALL the answers that work.
Choose ALL answers that apply.
A 2 B 3 C 5 D 6 E 9 Show worked answer Answers: A and B and D
A common factor must divide each of the two numbers exactly. Test both divisions for every option. 2 works because 18 ÷ 2 = 9 and 30 ÷ 2 = 15. 3 works because 18 ÷ 3 = 6 and 30 ÷ 3 = 10. 6 also works: 18 ÷ 6 = 3 and 30 ÷ 6 = 5. But 5 does not divide 18 exactly, and 9 does not divide 30 exactly. Select A, B and D. This question asks for all the common factors offered in the options; 1 is also a common factor, but it is not an option. What to practise next Write down the unit as well as the number. Litres and millilitres describe different amounts. For a fraction of an amount, divide by the denominator to find one equal part, then multiply by the numerator. Read the answer instruction carefully. A choose-all question needs every correct option, so check each one. For the published Dorset test format, dates and registration steps, read our Dorset Quest 11+ parent guide .
For official question booklets and paper answer sheets, use Quest’s free Dorset familiarisation resources .
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