O-Level E-Math practice papers

Done the O-Level E-Math past year papers and the TYS? Keep going with O-Level style practice papers in the SEAB 4052 format: Paper 1 with short questions and Paper 2 with structured questions, 90 marks in 2 hours 15 minutes each, on every topic.

Every paper is new, with answers and full worked solutions, marked the moment you finish, and followed by a paper on your mistakes.

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Make a free account, pick the chapters your exam tests, and start a timed paper in under a minute.

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Paper types

O-Level stylePaper 190 marks · 2 h 15 minAbout 26 short questions on every topicFree sample paper (PDF) with answers →
O-Level stylePaper 290 marks · 2 h 15 min9 to 10 structured questions on every topicFree sample paper (PDF) with answers →

Sample questions with worked solutions

Questions like these make up the papers. Every paper has new numbers.

Sample question 1 · 4 marks

The equation of the line

L

3x + y = 12

(a)Find the gradient of

L

.[1]

(b)Find the coordinates of the point where

L

crosses the

y

-axis.[1]

(c)Find the equation of the line parallel to

L

that passes through the point

(-4, -1)

.[2]

Show the worked solution

(a)

y = -3x + 12

m = -3

(b)

Put

x = 0

into

3x + y = 12

y = 12

, so

y = 12

The point is

(0, 12)

(c)

m = -3

-1 = -3(-4) + c

c = -13

y = -3x - 13

Sample question 2 · 5 marks

A photograph

20

cm long and

12

cm wide is placed in a frame of width

x

cm all the way round. The total area of the photograph and the frame is

384

cm².

A 20 cm by 12 cm photograph inside a frame of width x cm

(a)Show that

x^2 + 16x - 36 = 0

.[3]

(b)Find the width of the frame.[2]

Show the worked solution

(a)

The outside measures

(20 + 2x)

cm by

(12 + 2x)

cm.

(20 + 2x)(12 + 2x) = 384

240 + 40x + 24x + 4x^2 = 384

4x^2 + 64x - 144 = 0

x^2 + 16x - 36 = 0

(shown)

(b)

(x + 18)(x - 2) = 0

x = 2

(

x = -18

is rejected: a width can't be negative)The frame is

2

cm wide.

Topics covered

Sec 3

Algebraic manipulation · Quadratic equations · Inequalities · Indices, compound interest and standard form · Coordinate geometry · Graphs of functions · Further trigonometry · Applications of trigonometry · Arc length and sector area · Congruence and similarity · Area and volume of similar figures · Circle properties

Sec 4

Sets · Probability · Statistics · Matrices · Vectors · Problems in real-world contexts

Revise first: free notes

Questions parents ask

Are these past year papers (TYS) or school exam papers?

They're practice papers in the same style as past year papers and school exam papers: the same kinds of questions, marks and timing. They aren't copies of any school's papers or of SEAB's past year papers, which belong to them. Each paper is newly made, with numbers that change every time, so you can keep practising after you've finished your school's papers and the TYS.

Do the papers come with answers?

Yes. Every paper comes with the answers and full worked solutions, step by step, the way markers expect the working to be written.

How are the papers marked?

Your answers are marked as soon as you hand the paper in. You see the full working for every question, which marks you lost, and why. If your final answer is wrong but your working is right, you can tick the method marks your working earns, like a real marker would.

What happens after a paper?

MugCorner shows which question types cost you marks, and makes a follow-up paper on exactly those. Each chapter also has guided notes and topical practice with step-by-step help.

Is it free?

Everything is free during early access. After that, a free account still gets 2 papers a month, with topical practice and notes. MugCorner Plus gives unlimited papers and follow-up papers.

Try a full paper, free

Make a free account, pick the chapters your exam tests, and start a timed paper in under a minute.

Start a free paper

O-Level E-Math practice papers

Every paper is new, with answers and full worked solutions, marked the moment you finish, and followed by a paper on your mistakes.

Sample questions with worked solutions

Questions like these make up the papers. Every paper has new numbers.

Sample question 1 · 4 marks

The equation of the line

L

3x + y = 12

(a)Find the gradient of

L

.[1]

(b)Find the coordinates of the point where

L

crosses the

y

-axis.[1]

(c)Find the equation of the line parallel to

L

that passes through the point

(-4, -1)

.[2]

Show the worked solution

(a)

y = -3x + 12

m = -3

(b)

Put

x = 0

into

3x + y = 12

y = 12

, so

y = 12

The point is

(0, 12)

(c)

m = -3

-1 = -3(-4) + c

c = -13

y = -3x - 13

Sample question 2 · 5 marks

A photograph

20

cm long and

12

cm wide is placed in a frame of width

x

cm all the way round. The total area of the photograph and the frame is

384

cm².

(a)Show that

x^2 + 16x - 36 = 0

.[3]

(b)Find the width of the frame.[2]

Show the worked solution

(a)

The outside measures

(20 + 2x)

cm by

(12 + 2x)

cm.

(20 + 2x)(12 + 2x) = 384

240 + 40x + 24x + 4x^2 = 384

4x^2 + 64x - 144 = 0

x^2 + 16x - 36 = 0

(shown)

(b)

(x + 18)(x - 2) = 0

x = 2

(

x = -18

is rejected: a width can't be negative)The frame is

2

cm wide.

Topics covered

Sec 3

Sec 4

Sets · Probability · Statistics · Matrices · Vectors · Problems in real-world contexts

Questions parents ask

Are these past year papers (TYS) or school exam papers?

Do the papers come with answers?

Yes. Every paper comes with the answers and full worked solutions, step by step, the way markers expect the working to be written.

How are the papers marked?

What happens after a paper?

MugCorner shows which question types cost you marks, and makes a follow-up paper on exactly those. Each chapter also has guided notes and topical practice with step-by-step help.

Is it free?

Everything is free during early access. After that, a free account still gets 2 papers a month, with topical practice and notes. MugCorner Plus gives unlimited papers and follow-up papers.