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100+ Free STPM Mathematics 954 Practice Questions

Prepare for the Sijil Tinggi Persekolahan Malaysia (STPM) — Mathematics (954) exam with instant access — no signup required.

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2026 Statistics

Key Facts: STPM Mathematics 954 Exam

STPM Mathematics (954) is the science-stream Form Six mathematics subject assessed over three 2-hour written papers (954/1 Algebra and Geometry, 954/2 Calculus, 954/3 Statistics) at 33.33% each under the refined (dimurnikan) syllabus effective Semester 1 STPM 2026; it cannot be taken with 950 Management Mathematics and is graded on the A-to-F STPM scale where grade C (2.00) is a principal pass.

Sample STPM Mathematics 954 Practice Questions

Try these sample questions to test your STPM Mathematics 954 exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1The function f is defined by f(x) = 2x - 7. Find f(5).
A.3
B.10
C.-3
D.17
Explanation: Substitute x = 5 into f(x) = 2x - 7: f(5) = 2(5) - 7 = 10 - 7 = 3. Function evaluation is a basic skill in the Functions chapter of 954/1.
2Given f(x) = x + 3 and g(x) = 2x - 1, find (fog)(x).
A.2x + 2
B.2x + 5
C.2x - 4
D.2x + 3
Explanation: (fog)(x) = f(g(x)) = f(2x - 1) = (2x - 1) + 3 = 2x + 2. Composition applies the inner function first, then the outer.
3The function f(x) = 3x + 6 has inverse f^-1(x). What is f^-1(x)?
A.(x - 6)/3
B.(x + 6)/3
C.3x - 6
D.1/(3x + 6)
Explanation: Let y = 3x + 6. Then x = (y - 6)/3. Swapping variables gives f^-1(x) = (x - 6)/3. Check: f(f^-1(x)) = 3*((x - 6)/3) + 6 = x.
4If f(x) = x^2 - 4x + 3, find the values of x for which f(x) <= 0.
A.1 <= x <= 3
B.x <= 1 or x >= 3
C.x <= -1 or x >= 3
D.-1 <= x <= 3
Explanation: f(x) = (x - 1)(x - 3). The parabola opens upward, so f(x) <= 0 between the roots: 1 <= x <= 3.
5The domain of f(x) = sqrt(2x - 6) is
A.x >= 3
B.x > 3
C.x >= 6
D.x <= 3
Explanation: For the square root to be defined over the reals, 2x - 6 >= 0 => 2x >= 6 => x >= 3.
6If f(x) = 2^x and g(x) = log_2 x, then (fog)(8) equals
A.8
B.3
C.2
D.1
Explanation: (fog)(8) = f(g(8)) = f(log_2 8) = f(3) = 2^3 = 8. Since f and g are inverses, fog is the identity on the domain of g.
7An arithmetic progression has first term 5 and common difference 3. Find the 10th term.
A.32
B.35
C.30
D.27
Explanation: a_n = a + (n - 1)d = 5 + 9*3 = 5 + 27 = 32.
8The sum of the first n terms of an AP is S_n = 3n^2 + 2n. Find the 5th term.
A.29
B.85
C.17
D.31
Explanation: a_5 = S_5 - S_4. S_5 = 3(25) + 10 = 85 and S_4 = 3(16) + 8 = 56, so a_5 = 85 - 56 = 29. Alternatively a_n = S_n - S_{n-1} simplifies to 6n - 1, so a_5 = 29.
9A geometric progression has first term 4 and common ratio 1/2. Find the sum to infinity.
A.8
B.4
C.2
D.16
Explanation: S_inf = a/(1 - r) for |r| < 1. Here S_inf = 4/(1 - 1/2) = 4/(1/2) = 8.
10The first three terms of a GP are 2, 6 and 18. Find the sum of the first 5 terms.
A.242
B.162
C.80
D.486
Explanation: a = 2, r = 3. S_5 = a(r^5 - 1)/(r - 1) = 2(243 - 1)/(3 - 1) = 2*242/2 = 242.

About the STPM Mathematics 954 Exam

Mathematics (subject code 954), formerly titled Mathematics T / Mathematics (Technical), is the science-stream mathematics subject of the STPM, Malaysia's pre-university (Form Six) examination administered by Majlis Peperiksaan Malaysia. For the 2026 cohort the sukatan pelajaran yang dimurnikan (refined syllabus) applies from Semester 1 STPM 2026. Content is organised across three semesters: Semester 1 (Algebra and Geometry) covers functions and equations, sequences and series, matrices, complex numbers, analytic geometry and vectors; Semester 2 (Calculus) covers limits and continuity, differentiation, integration, differential equations, Maclaurin series and numerical methods; Semester 3 (Statistics) covers probability, discrete and continuous probability distributions, sampling and estimation, and hypothesis testing (data description and chi-squared tests were dropped in the refined syllabus). Candidates sit three centrally assessed written papers (954/1, 954/2, 954/3), each lasting 2 hours and each carrying 33.33% of the subject. Per the MPM scheme of examination, Mathematics may not be taken together with Management Mathematics (950). Results are reported on the STPM A-to-F cumulative grade point scale, with grade C and above counted as a principal pass. This practice bank is an English-language MCQ study adaptation of the syllabus content for concept and calculation practice — it is not a simulation of the official structured written papers.

Assessment

Three papers under code 954, following the sukatan pelajaran yang dimurnikan applying from Semester 1 STPM 2026: 954/1 Mathematics 1 (Semester 1 — Algebra and Geometry: functions, sequences and series, matrices, complex numbers, analytic geometry, vectors), 954/2 Mathematics 2 (Semester 2 — Calculus: limits and continuity, differentiation, integration, differential equations, Maclaurin series, numerical methods), and 954/3 Mathematics 3 (Semester 3 — Statistics: probability, discrete and continuous probability distributions, sampling and estimation, hypothesis testing). Each paper lasts 2 hours, is centrally assessed, is compulsory for candidates offering the subject, and carries 33.33%. Mathematics cannot be taken with Management Mathematics (950).

Time Limit

954/1, 954/2 and 954/3: 2 hours each, sat at the end of the respective semester.

Passing Score

Graded A (4.00) to F (0.00); grade C (2.00) and above is a principal pass (lulus penuh), C-minus to D is a partial pass, and F is a fail.

Exam Fee

Private and individual private candidates: RM120.00 basic fee plus RM90.00 per subject (MPM Peraturan dan Skema). Government and government-aided school candidates are exempt from those STPM fees; a RM50.00 per-paper written-retake charge may apply. Confirm current rates on the MPM portal. (Majlis Peperiksaan Malaysia (Malaysian Examinations Council), under the Ministry of Education, Malaysia)

STPM Mathematics 954 Exam Content Outline

33%

Algebra and Geometry (954/1)

Functions and equations, sequences and series, matrices and linear systems, complex numbers, analytic geometry with trigonometric applications, and vectors.

34%

Calculus (954/2)

Limits and continuity, differentiation, integration, differential equations, Maclaurin series and numerical methods.

33%

Statistics (954/3)

Probability, discrete and continuous probability distributions, sampling and estimation, and hypothesis testing. Data description and chi-squared tests no longer appear in Semester 3 under the refined syllabus.

How to Pass the STPM Mathematics 954 Exam

What You Need to Know

  • Passing score: Graded A (4.00) to F (0.00); grade C (2.00) and above is a principal pass (lulus penuh), C-minus to D is a partial pass, and F is a fail.
  • Assessment: Three papers under code 954, following the sukatan pelajaran yang dimurnikan applying from Semester 1 STPM 2026: 954/1 Mathematics 1 (Semester 1 — Algebra and Geometry: functions, sequences and series, matrices, complex numbers, analytic geometry, vectors), 954/2 Mathematics 2 (Semester 2 — Calculus: limits and continuity, differentiation, integration, differential equations, Maclaurin series, numerical methods), and 954/3 Mathematics 3 (Semester 3 — Statistics: probability, discrete and continuous probability distributions, sampling and estimation, hypothesis testing). Each paper lasts 2 hours, is centrally assessed, is compulsory for candidates offering the subject, and carries 33.33%. Mathematics cannot be taken with Management Mathematics (950).
  • Time limit: 954/1, 954/2 and 954/3: 2 hours each, sat at the end of the respective semester.
  • Exam fee: Private and individual private candidates: RM120.00 basic fee plus RM90.00 per subject (MPM Peraturan dan Skema). Government and government-aided school candidates are exempt from those STPM fees; a RM50.00 per-paper written-retake charge may apply. Confirm current rates on the MPM portal.

Keys to Passing

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

STPM Mathematics 954 Study Tips from Top Performers

1Treat each semester paper as a separate exam: finish 954/1 algebra/geometry fluency before moving deep into calculus, then keep statistics formulas drilled for 954/3.
2Practise full working for structured questions — method marks matter even when the final numeric answer is wrong.
3Memorise standard results you will reuse constantly: sum of AP/GP, determinant and inverse of 2×2 matrices, Argand-diagram operations, differentiation/integration of standard functions, and the normal and binomial distribution formulae.
4Drill trigonometry inside analytic geometry and calculus contexts (identities, radians, derivatives of sin/cos/tan), not only as standalone trig exercises.
5For vectors, always check magnitude, unit vector, scalar (dot) product and vector (cross) product separately so you do not mix which operation produces a scalar versus a vector.
6In statistics, state hypotheses clearly (H0/H1), know when a z or t statistic applies, and practise reading critical values from standard tables under timed conditions.
7Work past-year and trial (percubaan) papers under the full 2-hour limit for each semester paper so pacing matches the official scheme.

Frequently Asked Questions

What is STPM Mathematics (subject code 954)?

Mathematics (954) is the science-stream mathematics subject of the STPM, Malaysia's pre-university Form Six examination administered by Majlis Peperiksaan Malaysia. It was formerly known as Mathematics T / Mathematics (Technical) and develops algebra, geometry, calculus and statistics for STEM pathways.

How is STPM Mathematics structured and assessed?

Under the sukatan pelajaran yang dimurnikan (refined syllabus, applying from Semester 1 STPM 2026), candidates sit three written papers: 954/1 (Semester 1, Algebra and Geometry), 954/2 (Semester 2, Calculus) and 954/3 (Semester 3, Statistics). Each paper lasts 2 hours, is centrally assessed, is compulsory for candidates offering the subject, and carries 33.33%.

Can I take Mathematics together with Management Mathematics?

No. Per the MPM Peraturan dan Skema Peperiksaan STPM, Mathematics (954) may not be taken together with Management Mathematics (950).

How is STPM Mathematics graded?

STPM uses a cumulative grade point scale from A (4.00) down to F (0.00). Grade C (2.00) and above is a principal pass (lulus penuh), C-minus to D is a partial pass (lulus sebahagian), and F is a fail. Each of the three papers contributes 33.33% of the subject grade.

What topics are covered in the Mathematics 954 syllabus?

Semester 1 covers algebra and geometry (functions, sequences and series, matrices, complex numbers, analytic geometry, vectors). Semester 2 covers calculus (limits, differentiation, integration, differential equations, Maclaurin series, numerical methods). Semester 3 covers statistics (probability, discrete and continuous probability distributions, sampling and estimation, hypothesis testing); the refined syllabus removed data description and chi-squared tests from this semester.

What are the STPM examination fees?

For private and individual private candidates, MPM lists a basic fee of RM120.00 plus RM90.00 per subject. Government and government-aided school candidates are exempt from those STPM fees; a RM50.00 per-paper charge may apply for written retakes. Confirm the current schedule on the MPM portal.

Are these practice questions the same as the official exam?

No. Official STPM Mathematics papers are structured written papers sat over 2 hours per semester. This bank is an English-language MCQ study adaptation for algebra, calculus and statistics concepts and calculations — it is not a simulation of the official 954/1, 954/2 and 954/3 papers.