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Exam Review

Key Facts: SPM Mathematics Exam

SPM Mathematics carries subject code 1449, with Paper 1 (1449/1) and Paper 2 (1449/2) set by Lembaga Peperiksaan Malaysia.

Paper 1 has 40 multiple-choice objective questions worth 40 marks, answered in 1 hour 30 minutes under the KSSM format.

Paper 2 lasts 2 hours 30 minutes and totals 100 marks across Part A (40 marks), Part B (45 marks) and Part C (15 marks).

The final mark is calculated as (Paper 1 + Paper 2) divided by 140 and multiplied by 100 percent, then mapped to a grade.

SPM grades run from A+ (90–100 marks) down to G (0–39, fail); a pass is grade E, requiring at least 40 marks.

Under KSSM the Paper 2 was reorganised into three sections (Part A, B, C), replacing the older two-section format.

The KSSM Mathematics syllabus has five learning areas: Numbers and Operations, Measurement and Geometry, Relationship and Algebra, Statistics and Probability, and Discrete Mathematics.

Mathematics is a compulsory core SPM subject, and about 24 percent of candidates failed it in the 2022 SPM results analysis by Lembaga Peperiksaan Malaysia.

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 review concepts for the SPM Mathematics exam. 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.

Exam sponsor: Lembaga Peperiksaan Malaysia (Examination Board), Ministry of Education Malaysia. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Questions

100 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 / Certification Fees

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.

Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

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.

Preparing for 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 / certification fees: 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. Official sources

Using Our Practice Resources

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

SPM Mathematics: Suggested Study Strategy

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.