Maths: Full Practice Paper (Core, Non-Calculator, Set 2)
This is the second full practice paper for the Core Non-Calculator Maths paper, one of the two Common Entrance papers every 13+ candidate sits, giving a further complete timed paper of non-calculator questions across number, fractions, percentages, ratio, algebra, geometry and statistics.
Before you start
Make sure you're comfortable with these topics first:
Method
- Attempt every question in order but do not dwell too long on one you find hard; note your best working, move on, and return later if time allows.
- Rely on secure non-calculator written methods (column addition and subtraction, short and long multiplication and division), since no calculator is allowed on this paper.
- Build percentages from 10%, 5% and 1%, find fractions of amounts by dividing then multiplying, and find one share of a ratio before scaling up, since these non-calculator routes are faster and more reliable than working directly.
- Write out every line of working in the space given, since method marks are awarded independently of whether the final answer is correct.
- Estimate each answer by rounding to 1 significant figure before and after calculating, to catch an error before moving on.
- Manage your time by mark value, giving a high-mark multi-part question near the end proper time rather than rushing it.
- In the final few minutes, check every part of every question has an answer written down, and that each answer matches exactly what was asked, including units.
Worked example
A stationery shop buys 80 rulers for 12 pounds in total and sells each ruler for 35p. Work out the total profit once all 80 rulers are sold.
- Find the total revenue from selling all the rulers: 80 x 35p = 2800p, which is 28 pounds.
- The total cost is already given as 12 pounds.
- Subtract the cost from the revenue: 28 - 12 = 16.
- So the shop makes 16 pounds profit.
Practice questions
Type your answer and press Check to be marked straight away, or reveal the answer and mark yourself.
Q1A cafe sells 3 coffees at 2.40 pounds each and 2 teas at 1.60 pounds each. Work out the total cost, without a calculator.Show answer
Answer: 10.40 pounds (3 x 2.40 = 7.20, 2 x 1.60 = 3.20, total = 10.40)
Q2Find 3/8 of 64.Show answer
Answer: 24
Q3Without a calculator, work out 35% of 220.Show answer
Answer: 77 (10% = 22, 30% = 66, 5% = 11, 35% = 77)
Q4A prize fund of 150 pounds is shared between two clubs in the ratio 2:3. Work out the larger share.Show answer
Answer: 90 pounds (one part = 150 / 5 = 30, larger share = 3 x 30 = 90)
Q5Simplify 7x - 3y + 2x + 8y.Show answer
Answer: 9x + 5y
Q6A triangle has base 10 cm and height 7 cm. Work out its area.Show answer
Answer: 35 cm^2
Exam-style questions
Written in the style of a 13+ Common Entrance exam paper, with a full mark scheme.
Without a calculator, work out 9^2 - 4^3.
Show mark scheme
Tick each line you got. Your score builds from the marks on the scheme.
Nothing ticked yet - 2 available
A baker makes 180 rolls. 2/3 of the rolls are sold in the morning. Of the rolls not sold in the morning, half are sold in the afternoon and the rest are frozen. Work out how many rolls are frozen.
Show mark scheme
Tick each line you got. Your score builds from the marks on the scheme.
Nothing ticked yet - 3 available
A market stall sells oranges in bags of 6 for 90p, or individually at 18p each. Marcus buys 18 oranges as three bags of 6. Work out how much he pays, then work out how much he would have paid buying all 18 oranges individually, and state how much he saves by buying in bags.
Show mark scheme
Tick each line you got. Your score builds from the marks on the scheme.
Nothing ticked yet - 4 available
Free printable worksheet
Want more practice on paper? Download the maths: full practice paper (core, non-calculator, set 2) worksheet pack - 11 pages of exam-style questions with a full mark scheme. One email opens every download in this browser for 14 days - no account, no card. Print it for personal and classroom use.
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