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100+ Free SPM Mathematics Practice Questions

Pass your Sijil Pelajaran Malaysia (SPM) — Mathematics (Matematik), Code 1449 exam on the first try — instant access, no signup required.

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A worker's monthly salary is RM3000. After a 6% Employees Provident Fund (EPF) deduction, what is the take-home pay (ignoring other deductions)?

A
B
C
D
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Key Facts: SPM Mathematics Exam

SPM Mathematics (code 1449) is assessed by a 40-question multiple-choice Paper 1 (90 minutes) and a three-section subjective Paper 2 (2h30m), totalling 140 marks graded A+ to G with a pass at grade E.

Sample SPM Mathematics Practice Questions

Try these sample questions to test your SPM Mathematics exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Round off 0.04638 correct to three significant figures.
A.0.0463
B.0.046
C.0.0464
D.0.04638
Explanation: The first three significant figures of 0.04638 are 4, 6 and 3. The next digit is 8, so we round the 3 up to 4, giving 0.0464. Leading zeros are not counted as significant figures.
2Express 0.000056 in standard form (scientific notation).
A.5.6 x 10^-4
B.5.6 x 10^5
C.56 x 10^-6
D.5.6 x 10^-5
Explanation: Standard form is A x 10^n where 1 <= A < 10. Moving the decimal point in 0.000056 five places to the right gives 5.6, so the power of ten is -5. Thus 0.000056 = 5.6 x 10^-5.
3Evaluate 2^3 x 2^4 and express the answer as a single power of 2.
A.2^7
B.2^12
C.2^1
D.2^5
Explanation: When multiplying powers with the same base, add the indices: 2^3 x 2^4 = 2^(3+4) = 2^7. The base stays the same.
4Convert the binary number 1101(base 2) to base ten.
A.11
B.13
C.14
D.9
Explanation: Each binary digit has a place value that is a power of 2: 1101(base 2) = 1x2^3 + 1x2^2 + 0x2^1 + 1x2^0 = 8 + 4 + 0 + 1 = 13.
5A shirt costs RM80. During a sale it is sold at a 15% discount. What is the sale price?
A.RM65
B.RM72
C.RM68
D.RM12
Explanation: A 15% discount means the customer pays 85% of the original price. Sale price = 85% x RM80 = 0.85 x 80 = RM68.
6Simplify the algebraic expression 3(2x - 4) - 2(x - 5).
A.4x - 22
B.8x - 2
C.4x + 2
D.4x - 2
Explanation: Expand each bracket: 3(2x - 4) = 6x - 12 and -2(x - 5) = -2x + 10. Combine like terms: 6x - 2x = 4x and -12 + 10 = -2, giving 4x - 2.
7Solve the linear equation 5x - 3 = 2x + 12.
A.x = 5
B.x = 3
C.x = 15
D.x = -5
Explanation: Collect x-terms on one side: 5x - 2x = 12 + 3, so 3x = 15. Divide both sides by 3 to get x = 5.
8The first three terms of an arithmetic sequence are 7, 11, 15. What is the 10th term?
A.47
B.43
C.40
D.44
Explanation: The common difference is 11 - 7 = 4. The nth term is a + (n-1)d = 7 + (10-1)(4) = 7 + 36 = 43.
9Given that 3 pencils cost RM4.50, how much do 7 pencils cost at the same rate?
A.RM9.00
B.RM31.50
C.RM10.50
D.RM12.00
Explanation: First find the unit cost: RM4.50 / 3 = RM1.50 per pencil. Then 7 pencils cost 7 x RM1.50 = RM10.50. This is a direct proportion problem.
10Find the value of the digit 5 in the number 35.7 expressed in terms of place value.
A.5 tens
B.5 tenths
C.5 hundreds
D.5 ones (units)
Explanation: In 35.7, reading from the decimal point: 7 is in the tenths place, 5 is in the ones (units) place, and 3 is in the tens place. So the 5 represents 5 ones, with value 5.

About the SPM Mathematics Exam

SPM Mathematics (Matematik, subject code 1449) is a compulsory core subject of the Sijil Pelajaran Malaysia, the national Form 5 leaving examination administered by Lembaga Peperiksaan Malaysia. Under the KSSM (Kurikulum Standard Sekolah Menengah) format, it is assessed by two papers: Paper 1 (1449/1) with 40 multiple-choice objective questions in 1 hour 30 minutes, and Paper 2 (1449/2), a 2 hour 30 minute subjective paper split into Part A (10 limited-response questions, 40 marks), Part B (5 limited-structure questions, 45 marks) and Part C (1 of 2 structured/extended questions, 15 marks). The two papers total 140 marks, converted to a percentage and mapped to grades A+ to G. The syllabus spans five KSSM learning areas — Numbers and Operations, Measurement and Geometry, Relationship and Algebra, Statistics and Probability, and Discrete Mathematics — tested across Form 1 to Form 5 content. A grade of E (40 marks) or higher is a pass.

Questions

100 scored questions

Time Limit

Paper 1: 1 hour 30 minutes; Paper 2: 2 hours 30 minutes

Passing Score

Pass is grade E (40 marks and above); grades run A+ (90–100) down to G (0–39, fail).

Exam Fee

No separate subject fee for candidates in Malaysian government and government-aided schools (publicly funded); private candidates pay a Lembaga Peperiksaan registration fee per subject. (Lembaga Peperiksaan Malaysia (Examination Board), Ministry of Education Malaysia)

SPM Mathematics Exam Content Outline

28%

Relationship and Algebra

Algebraic expressions, linear and simultaneous equations, quadratic functions and equations, inequalities, functions, coordinate geometry, variation, and matrices.

25%

Measurement and Geometry

Perimeter, area and volume, polygons, circles and circle theorems, Pythagoras, trigonometry and graphs, transformations, bearings, and scale drawings.

16%

Numbers and Operations

Integers, fractions, decimals, percentages, indices and standard form, number bases, significant figures, and ratio, rate and proportion.

15%

Statistics and Probability

Measures of central tendency and dispersion for ungrouped and grouped data, and probability of simple and combined events.

9%

Discrete Mathematics

Operations on sets, logical reasoning (statements, arguments, converse and contrapositive), and networks in graph theory.

7%

Consumer Mathematics

Financial management, simple and compound interest, profit and loss, insurance and no-claim discount, and taxation.

How to Pass the SPM Mathematics Exam

What You Need to Know

  • Passing score: Pass is grade E (40 marks and above); grades run A+ (90–100) down to G (0–39, fail).
  • Exam length: 100 questions
  • Time limit: Paper 1: 1 hour 30 minutes; Paper 2: 2 hours 30 minutes
  • Exam fee: No separate subject fee for candidates in Malaysian government and government-aided schools (publicly funded); private candidates pay a Lembaga Peperiksaan registration fee per subject.

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

SPM Mathematics Study Tips from Top Performers

1Drill Paper 1 multiple-choice questions under time pressure: 40 questions in 90 minutes is about 2 minutes each, so build speed on rounding, indices, percentages and algebra.
2Always show full working in Paper 2 — Parts A, B and C award method marks even when the final answer is incomplete or wrong.
3Memorise key formulae that are not always provided: gradient, distance and midpoint formulae, the quadratic formula, area and volume of common solids, and the trigonometric ratios SOH-CAH-TOA.
4Practise the standard trigonometric values (sin 30 = 0.5, cos 60 = 0.5, tan 45 = 1) and the shape of sine, cosine and tangent graphs from 0 to 360 degrees.
5Master the high-yield Form 5 topics — transformations, matrices, variation and trigonometric graphs — which carry many marks and appear regularly in Paper 2.
6Work through official Lembaga Peperiksaan past-year papers and the Kupasan Mutu Jawapan reports to learn the exact answer style examiners expect.
7Be precise with units and rounding: state answers to the required significant figures or decimal places, and keep cm, cm^2 and cm^3 distinct for length, area and volume.

Frequently Asked Questions

What is the format of SPM Mathematics under the KSSM syllabus?

There are two papers. Paper 1 (1449/1) has 40 multiple-choice objective questions worth 40 marks in 1 hour 30 minutes. Paper 2 (1449/2) is subjective, lasting 2 hours 30 minutes, split into Part A (10 questions, 40 marks), Part B (5 questions, 45 marks) and Part C (1 of 2 questions, 15 marks), for 100 marks.

How is SPM Mathematics graded and what is a pass?

The combined mark = (Paper 1 + Paper 2) / 140 × 100%, mapped to grades: A+ (90–100), A (80–89), A- (70–79), B+ (65–69), B (60–64), C+ (55–59), C (50–54), D (45–49), E (40–44) and G (0–39, fail). A pass is grade E, meaning 40 marks or above.

What is the subject code for SPM Mathematics?

SPM Mathematics has the subject code 1449. Paper 1 is referenced as 1449/1 and Paper 2 as 1449/2 on the official Lembaga Peperiksaan examination papers.

Which topics are covered in SPM Mathematics?

Candidates are tested on Form 1 to Form 5 KSSM content across five learning areas: Numbers and Operations, Measurement and Geometry, Relationship and Algebra, Statistics and Probability, and Discrete Mathematics — including algebra, trigonometry, geometry, matrices, variation, statistics, probability, sets, logical reasoning and graph theory.

How long is each SPM Mathematics paper?

Under the current KSSM format, Paper 1 lasts 1 hour 30 minutes (increased from the older 75 minutes), and Paper 2 lasts 2 hours 30 minutes. Both papers are sat on the same day during the SPM examination period.

Is a calculator allowed in SPM Mathematics?

A non-programmable scientific calculator is permitted in both papers, in line with Lembaga Peperiksaan rules. A list of useful formulae is also provided on the Paper 2 question booklet to support working.

How difficult is SPM Mathematics and is it compulsory?

Mathematics is a compulsory core SPM subject for all candidates. It is conceptually broad and historically one of the higher-failure subjects — about 24% of candidates failed Mathematics in the 2022 SPM analysis — so steady past-year practice is strongly recommended.