11+ · Topic guide

Kent Test Style Maths Paper 3

Kent Test maths Paper 3 completes the practice series by covering the shape, measurement and problem-solving content that Papers 1 and 2 do not focus on: perimeter, area, angles, time, and multi-step word problems that draw on several areas of KS2 maths at once. The written-answer, non-calculator format stays the same throughout, so the main change from paper to paper is which parts of the curriculum are being tested, not how the test is delivered.

Year 5-6 (11+)Maths and Numerical ReasoningGL AssessmentCEM

Before you start

Make sure you're comfortable with these topics first:

Method

  1. Recall the standard formulas for the area and perimeter of rectangles and compound shapes before the test, since Paper 3 draws on these more heavily than Papers 1 and 2.
  2. Split a compound shape into simple rectangles before calculating its area, marking on any missing side lengths first.
  3. For an angle question, remember key facts, such as angles on a straight line totalling 180 degrees and angles around a point totalling 360 degrees, and state which fact you are using.
  4. For a time or duration question, convert to a single unit, such as minutes, before adding or subtracting, to avoid mixing hours and minutes by mistake.
  5. Where a question combines shape and money, or shape and time, tackle the shape calculation fully first before moving on to the second part.
  6. Show every stage of your working clearly, including any side lengths you have calculated yourself, since these are needed to follow your final answer.

Worked example

A garden is a rectangle 12m long and 8m wide, with a square pond of side 3m cut out of one corner. (a) Find the area of the rectangular garden before the pond is cut out. (b) Find the area of the garden that is left once the pond is removed.

  1. Find the area of the rectangular garden: 12 x 8 = 96 square metres.
  2. Find the area of the square pond: 3 x 3 = 9 square metres.
  3. Subtract the pond's area from the garden's area: 96 - 9 = 87.
  4. The area of the garden that is left is 87 square metres.

Practice questions

Type your answer and press Check to be marked straight away, or reveal the answer and mark yourself.

Q1Find the perimeter of a rectangle 15cm long and 9cm wide.Show answer

Answer: 48cm (2 x (15 + 9) = 48).

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Q2A right angle is split into two parts, one of 35 degrees. Find the other part.Show answer

Answer: 55 degrees (90 - 35).

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Q3Convert 2 hours 40 minutes into minutes.Show answer

Answer: 160 minutes.

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Q4Find the area of a triangle with base 10cm and height 6cm.Show answer

Answer: 30 square cm ((10 x 6) / 2 = 30).

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Q5A film starts at 19:45 and lasts 2 hours 20 minutes. What time does it end?Show answer

Answer: 22:05.

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Q6A square has an area of 49 square cm. Find the length of one side.Show answer

Answer: 7cm (sqrt(49) = 7).

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Exam-style questions

Written in the style of a 11+ exam paper, with a full mark scheme.

Q1[3 marks]

A room is a rectangle 6m long and 4m wide. Carpet costs 18 pounds per square metre. (a) Find the area of the room. (b) Find the total cost of carpeting the whole room.

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Q2[3 marks]

A train departs at 13:55 and the journey to the next station takes 48 minutes, after which there is a scheduled 12-minute wait before the connecting train departs. (a) Find the time the train arrives at the next station. (b) Find the time the connecting train departs.

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Free printable worksheet

Want more practice on paper? Download the kent test style maths paper 3 worksheet pack - 4 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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