Maths: Full Practice Paper (Core, Calculator, Set 2)
This is the second full practice paper for the Core Calculator Maths paper, the calculator-allowed partner to the Core Non-Calculator paper that every 13+ candidate sits, giving a further complete timed paper across number, percentages, geometry, algebra and statistics.
Before you start
Make sure you're comfortable with these topics first:
Method
- Set out each calculation on paper before using the calculator, writing down the numbers and the operation, so your method is clear even if a key is pressed incorrectly.
- Use brackets or the calculator's memory for a multi-step calculation, rather than rounding a middle answer and typing it back in, since early rounding is a common cause of an inaccurate final answer.
- Estimate each answer first by rounding, and check the calculator's answer is a sensible size before writing it down.
- Apply any rounding instruction (decimal places, significant figures, nearest penny) only to your final answer, keeping full accuracy through earlier steps.
- Read data from a table, graph or chart carefully and note the exact values needed before you start calculating.
- Always include the correct units in your answer, since this paper mixes money, length, area, volume and time within the same set of questions.
- Spend time in proportion to the marks on offer, and check that multi-part answers all address exactly what each part asked.
Worked example
Priya invests 620 pounds in a savings account that pays 2.5% simple interest per year. Work out the total amount in the account after 3 years.
- Find one year's interest: 2.5% of 620 = 620 x 0.025 = 15.50 pounds.
- Since it is simple interest, the same interest is added each year, so multiply by 3: 15.50 x 3 = 46.50 pounds.
- Add the total interest to the original amount: 620 + 46.50 = 666.50.
- So the account holds 666.50 pounds after 3 years.
Practice questions
Type your answer and press Check to be marked straight away, or reveal the answer and mark yourself.
Q1A cylindrical tin has radius 4 cm and height 15 cm. Work out its volume, to 3 significant figures. (Use pi = 3.14159.)Show answer
Answer: 754 cm^3 (volume = pi x 4^2 x 15 = 753.98, which rounds to 754)
Q2A laptop valued at 900 pounds depreciates by 12% in its first year. Work out its value at the end of the first year.Show answer
Answer: 792 pounds (900 x 0.88 = 792)
Q3Find the midpoint of the line segment joining A(2, -3) and B(-6, 9).Show answer
Answer: (-2, 3)
Q4The nth term of a sequence is 4n + 3. Work out the 20th term.Show answer
Answer: 83 (4 x 20 + 3 = 83)
Q5A survey asked 25 people how many books they read last month: 6 people read 0, 10 read 1, 6 read 2, 3 read 3. Work out the mean number of books read.Show answer
Answer: 1.24 (total books = 0 + 10 + 12 + 9 = 31, mean = 31 / 25 = 1.24)
Q6A bag contains 8 red, 9 blue and 7 green counters only. A counter is picked at random. Work out the probability it is red, giving your answer as a decimal to 3 significant figures.Show answer
Answer: 0.333 (8 / 24 = 0.3333..., rounds to 0.333)
Exam-style questions
Written in the style of a 13+ Common Entrance exam paper, with a full mark scheme.
Convert 3.2 x 10^5 into an ordinary number.
Show mark scheme
Tick each line you got. Your score builds from the marks on the scheme.
Nothing ticked yet - 2 available
A television has a normal price of 480 pounds. In a sale, the price is reduced by 25%. Priya has a voucher that then takes off a further 10% of the new sale price. Work out the final price Priya pays.
Show mark scheme
Tick each line you got. Your score builds from the marks on the scheme.
Nothing ticked yet - 3 available
The table shows the ages, in years, of 40 people at a swimming club: 8 people aged 10-20, 14 people aged 20-30, 12 people aged 30-40, 6 people aged 40-50. Work out an estimate for the mean age.
Show mark scheme
Tick each line you got. Your score builds from the marks on the scheme.
Nothing ticked yet - 5 available
Free printable worksheet
Want more practice on paper? Download the maths: full practice paper (core, calculator, set 2) worksheet pack - 9 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.
Next topics
Not quite what you needed?
Tell us what is missing on maths: full practice paper (core, calculator, set 2), or which topic to write up next. Every request is read, and we reply to every one.
Build a full practice pack.
This topic is one of hundreds in the library - pick the ones a student needs and generate a printable PDF in minutes.