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Eltham College — 13+ Maths Sample Paper 2017

Eltham College published this 13+ Maths sample paper in 2017 to show the assessment style; it is official school material, not a past paper. Hearthprep makes it interactive — 12 questions worth 46 marks in a 45-minute timed mode, each marked on submission and backed by a step-by-step worked solution.

Real 13+ Maths paper from Eltham College (2017). 12 questions, 46 marks. Answer interactively with worked solutions. Covers Algebra, Arithmetic & Operations, Fractions, Decimals & Percentages, Geometry — Shape, Number & Place Value.

Eltham College published this sample paper as preparation for its assessment. It is official school material, but not a paper candidates actually sat. Most 13+ entrance exams are sat between November and January of the year of entry, so a timed attempt at this paper is worth doing early enough to leave room for the topics it exposes. Work through it on screen with instant marking, or print the PDF and sit it under exam conditions.

School
Eltham College
Entry level
13+
Subject
Maths
Year
2017
Questions
12
Marks
46
Time allowed
45 minutes
Updated
3 Sept 2026

Topics in this paper

  • Algebra
  • Arithmetic & Operations
  • Fractions, Decimals & Percentages
  • Geometry — Shape
  • Number & Place Value

Questions in this paper (3 of 12)

  1. Question 1short answer · 5 marks

    (a) Work out: 1 3/4 + 3 1/2 (b) Work out 3/7 x £28 (c) Estimate the value of 19.89 x 201.71

  2. Question 2short answer · 4 marks

    APB is parallel to CTRD. PQRT is a quadrilateral. At point P on line APB there is a right angle between line PT and line APB. The angle QPB is 32 degrees. The angle PRT (interior angle at R of the quadrilateral) is 124 degrees. Work out the size of the angle marked x (the interior angle of the quadrilateral at Q). You must show your working.

  3. Question 3short answer · 3 marks

    Here is an equilateral triangle. The equilateral triangle has a perimeter of 24 cm. Some of these equilateral triangles are used to make this sequence of quadrilaterals. Find the perimeter, in centimetres, of quadrilateral 10.

9 further questions in this paper open with any paid plan, along with marking and the worked solutions. See plans.

Frequently asked questions

What is in the Eltham College — 13+ Maths Sample Paper 2017?

12 questions with 46 marks in total; Eltham College allowed 45 minutes for it. It covers Algebra, Arithmetic & Operations, Fractions, Decimals & Percentages, Geometry — Shape, Number & Place Value. Eltham College published this sample paper as preparation for its assessment. It is official school material, but not a paper candidates actually sat.

How long is the Eltham College 13+ Maths paper?

Eltham College printed an allowance of 45 minutes on this paper. The paper carries 46 marks, roughly 59 seconds a mark.

Can my child answer this paper online?

Yes. Every question on this page can be answered in the browser and is marked the moment the paper is submitted — multiple choice, short answers and written responses alike. Answers are matched leniently, so a correct value written a different way (units, fractions, word numbers) still scores.

Are worked solutions included?

Every question has a step-by-step worked solution and an AI tutor that will talk through it after the paper is submitted. The first 3 questions of this paper are free to try; the remaining 9 and the marking come with a paid plan.

Is this a real past paper?

Eltham College published this sample paper as preparation for its assessment. It is official school material, but not a paper candidates actually sat. Use it to time a full mock attempt, then drill whichever topics your child drops marks on.

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