Sec 2 Maths exam papers and WA test papers

Looking for Sec 2 Maths exam papers or EOY papers? Practise WA test papers and end-of-year exam papers, Paper 1 and Paper 2, in the same style as school exam papers and past year papers (G3 and G2). A Sec 2 exam also tests Sec 1 work, so you can pick chapters from both years.

Every paper comes with answers and full worked solutions, is timed like the real exam, and is followed by a paper on what you got wrong.

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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

WAWA30 marks · 45 minShort questions, then structured ones. You choose the chapters.Free sample paper (PDF) with answers →
Final examPaper 150 marks · 1 h 15 minAbout 18 short questions, 2–5 marks each. You choose the chapters.Free sample paper (PDF) with answers →
Final examPaper 250 marks · 1 h 15 minAbout 7 structured questions, 5–8 marks each. You choose the chapters.Free 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 · 3 marks

A motorcyclist travels from A to B at an average speed of 20 km/h and then from B to C at an average speed of 90 km/h. The distances are shown in the diagram. Find the average speed, in km/h, for the whole journey.[3]

Show the worked solution

\dfrac{40}{20} = 2 \text{ h}

\dfrac{45}{90} = 0.5 \text{ h}

\text{Total distance} = 40 + 45

\phantom{\text{Total distance}} = 85 \text{ km}

\text{Total time} = 2 + 0.5

\phantom{\text{Total time}} = 2.5 \text{ h}

\text{Average speed} = \dfrac{85}{2.5}

\phantom{\text{Average speed}} = 34 \text{ km/h}

Sample question 2 · 6 marks

(a)1 notebook and 2 rulers cost $6.40. 5 notebooks and 3 rulers cost $11. Find the cost of one notebook and the cost of one ruler.[3]

(b)1 plate of chicken rice and 5 cups of kopi cost $6.40. 1 plate of chicken rice and 2 cups of kopi cost $3.70. Find the cost of one plate of chicken rice and the cost of one cup of kopi.[3]

Show the worked solution

(a)

x + 2y = 6.4

... (1)

5x + 3y = 11

... (2)

(1) \times 3

3x + 6y = 19.200000000000003

... (3)

(2) \times 2

10x + 6y = 22

... (4)The

y

-terms have the same sign, so subtract.

(4) - (3)

7x = 2.8

x = \dfrac{2.8}{7}

= 0.4

0.4 + 2y = 6.4

2y = 6

y = \dfrac{6}{2}

= 3

Check in (2):

5(0.4) + 3(3)

= 11

, the right-hand side of (2).One notebook costs $0.40 and one ruler costs $3.

(b)

x + 5y = 6.4

... (1)

x + 2y = 3.7

... (2)

(1) \times 2

2x + 10y = 12.8

... (3)

(2) \times 5

5x + 10y = 18.5

... (4)The

y

-terms have the same sign, so subtract.

(4) - (3)

3x = 5.7

x = \dfrac{5.7}{3}

= 1.9

1.9 + 5y = 6.4

5y = 4.5

y = \dfrac{4.5}{5}

= 0.9

Check in (2):

(1.9) + 2(0.9)

= 3.7

, the right-hand side of (2).One plate of chicken rice costs $1.90 and one cup of kopi costs $0.90.

Topics covered

Sec 1

Primes, HCF and LCM · Integers, rational and real numbers · Approximation and estimation · Basic algebra · Linear equations · Coordinates and linear graphs · Number sequences and patterns · Percentage · Ratio, rate and speed · Angles and parallel lines · Triangles, quadrilaterals and polygons · Perimeter and area · Volume and surface area · Statistics

Sec 2

Direct and inverse proportion · Linear equations, inequalities and simultaneous equations · Expansion and factorisation of quadratic expressions · Algebraic fractions and formulae · Quadratic equations and graphs · Congruence and similarity · Pythagoras' theorem · Trigonometric ratios · Pyramids, cones and spheres · Statistics · Probability

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

Sec 2 Maths exam papers and WA test papers

Every paper comes with answers and full worked solutions, is timed like the real exam, and is followed by a paper on what you got wrong.

Paper types

WAWA30 marks · 45 minShort questions, then structured ones. You choose the chapters.Free sample paper (PDF) with answers →

Final examPaper 150 marks · 1 h 15 minAbout 18 short questions, 2–5 marks each. You choose the chapters.Free sample paper (PDF) with answers →

Final examPaper 250 marks · 1 h 15 minAbout 7 structured questions, 5–8 marks each. You choose the chapters.Free 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 · 3 marks

Show the worked solution

\dfrac{40}{20} = 2 \text{ h}

\dfrac{45}{90} = 0.5 \text{ h}

\text{Total distance} = 40 + 45

\phantom{\text{Total distance}} = 85 \text{ km}

\text{Total time} = 2 + 0.5

\phantom{\text{Total time}} = 2.5 \text{ h}

\text{Average speed} = \dfrac{85}{2.5}

\phantom{\text{Average speed}} = 34 \text{ km/h}

Sample question 2 · 6 marks

(a)1 notebook and 2 rulers cost $6.40. 5 notebooks and 3 rulers cost $11. Find the cost of one notebook and the cost of one ruler.[3]

(b)1 plate of chicken rice and 5 cups of kopi cost $6.40. 1 plate of chicken rice and 2 cups of kopi cost $3.70. Find the cost of one plate of chicken rice and the cost of one cup of kopi.[3]

Show the worked solution

(a)

x + 2y = 6.4

... (1)

5x + 3y = 11

... (2)

(1) \times 3

3x + 6y = 19.200000000000003

... (3)

(2) \times 2

10x + 6y = 22

... (4)The

y

-terms have the same sign, so subtract.

(4) - (3)

7x = 2.8

x = \dfrac{2.8}{7}

= 0.4

0.4 + 2y = 6.4

2y = 6

y = \dfrac{6}{2}

= 3

Check in (2):

5(0.4) + 3(3)

= 11

, the right-hand side of (2).One notebook costs $0.40 and one ruler costs $3.

(b)

x + 5y = 6.4

... (1)

x + 2y = 3.7

... (2)

(1) \times 2

2x + 10y = 12.8

... (3)

(2) \times 5

5x + 10y = 18.5

... (4)The

y

-terms have the same sign, so subtract.

(4) - (3)

3x = 5.7

x = \dfrac{5.7}{3}

= 1.9

1.9 + 5y = 6.4

5y = 4.5

y = \dfrac{4.5}{5}

= 0.9

Check in (2):

(1.9) + 2(0.9)

= 3.7

, the right-hand side of (2).One plate of chicken rice costs $1.90 and one cup of kopi costs $0.90.

Topics covered

Sec 1

Sec 2

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.