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100+ Free SINF6 Mathematics Practice Questions

Prepare for the Solomon Islands National Form Six Examination — Mathematics exam with instant access — no signup required.

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53.8% national pass rate for the 2025 Year 12 cohort Pass Rate
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2026 Statistics

Key Facts: SINF6 Mathematics Exam

28 October 2026

2026 Mathematics paper date

MEHRD 2026 National Examination Timetable

3 hours

Paper duration plus 10 minutes reading time

MEHRD 2026 National Examination Timetable

No fee

National examination fees are prohibited for Year 12

MEHRD administrative instruction on school fees

53.8%

Year 12 national pass rate, 2025 cohort

MEHRD 2025 National Examination Results

265–500

Year 12 aggregate score range reported by MEHRD

MEHRD 2023 National Examination Results

100

Free practice questions in this bank

OpenExamPrep question bank

SINF6 Mathematics is a three-hour national written paper sat by Form 6 students across Solomon Islands, scheduled for Wednesday 28 October 2026. There is no examination fee, and MEHRD does not publish a fixed pass mark: subject results feed a Year 12 aggregate reported on a 265–500 range. This free bank supplies 100 worked multiple-choice questions across the six syllabus strands as revision practice, not as a replica of the official booklet.

Sample SINF6 Mathematics Practice Questions

Try these sample questions to test your SINF6 Mathematics exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1What are the roots of the quadratic equation x^2 - 7x + 12 = 0?
A.x = 3 and x = 4
B.x = -3 and x = -4
C.x = 2 and x = 6
D.x = -2 and x = -6
Explanation: Factoring x^2 - 7x + 12 = (x - 3)(x - 4) = 0 gives roots x = 3 and x = 4.
2Given the function f(x) = 3x^2 - 5x + 2, evaluate f(-2).
A.24
B.0
C.4
D.12
Explanation: Substitute x = -2: f(-2) = 3(-2)^2 - 5(-2) + 2 = 3(4) + 10 + 2 = 12 + 10 + 2 = 24.
3Simplify the expression (2x^3 y^2)^3 / (4x^4 y^5).
A.2x^5 y
B.2x^5 / y
C.x^5 y / 2
D.2x^6 / y^2
Explanation: Numerator: (2x^3 y^2)^3 = 8 x^9 y^6. Dividing by 4 x^4 y^5 gives (8/4) x^(9-4) y^(6-5) = 2 x^5 y.
4An arithmetic progression (AP) has a first term of 4 and a common difference of 3. Find the 5th term.
A.16
B.19
C.15
D.12
Explanation: Using T_n = a + (n - 1)d: T_5 = 4 + (5 - 1)(3) = 4 + 12 = 16.
5Find the sum to infinity of a geometric progression with first term a = 12 and common ratio r = 1/3.
A.18
B.16
C.36
D.24
Explanation: Sum to infinity S_inf = a / (1 - r) = 12 / (1 - 1/3) = 12 / (2/3) = 12 * (3/2) = 18.
6When P(x) = 2x^3 - x^2 + kx - 6 is divided by (x - 2), the remainder is 10. Find the value of k.
A.2
B.4
C.-2
D.5
Explanation: By the Remainder Theorem, P(2) = 10. P(2) = 2(2)^3 - (2)^2 + k(2) - 6 = 16 - 4 + 2k - 6 = 6 + 2k. Setting 6 + 2k = 10 yields 2k = 4, so k = 2.
7Solve the logarithmic equation: log_2(x) + log_2(x - 3) = 2.
A.x = 4
B.x = 4 and x = -1
C.x = 2
D.x = 5
Explanation: Combine logs: log_2(x(x - 3)) = 2 => x(x - 3) = 2^2 = 4. Quadratic: x^2 - 3x - 4 = 0 => (x - 4)(x + 1) = 0. Since log requires x > 3, x = -1 is extraneous, leaving x = 4.
8Given f(x) = 2x + 1 and g(x) = x^2 - 3, find the composite function g(f(x)).
A.4x^2 + 4x - 2
B.4x^2 - 2
C.2x^2 - 5
D.4x^2 + 4x + 1
Explanation: g(f(x)) = g(2x + 1) = (2x + 1)^2 - 3 = (4x^2 + 4x + 1) - 3 = 4x^2 + 4x - 2.
9Find the inverse function f^(-1)(x) for f(x) = (3x + 2) / (x - 1).
A.(x + 2) / (x - 3)
B.(x - 2) / (x + 3)
C.(3x - 2) / (x + 1)
D.(x - 1) / (3x + 2)
Explanation: Let y = (3x + 2)/(x - 1). Swap variables: x = (3y + 2)/(y - 1) => x(y - 1) = 3y + 2 => xy - x = 3y + 2 => xy - 3y = x + 2 => y(x - 3) = x + 2 => f^(-1)(x) = (x + 2)/(x - 3).
10Find the values of k for which the quadratic equation x^2 + kx + 9 = 0 has equal real roots.
A.k = 6 or k = -6
B.k = 3 or k = -3
C.k = 9 or k = -9
D.k = 18 or k = -18
Explanation: Equal real roots require the discriminant b^2 - 4ac = 0. Here k^2 - 4(1)(9) = 0 => k^2 - 36 = 0 => k^2 = 36 => k = 6 or k = -6.

About the SINF6 Mathematics Exam

The Solomon Islands National Form Six Examination (SINF6) Mathematics paper is the national Year 12 mathematics assessment, administered by MEHRD's National Education Assessment Division and timetabled as part of the Solomon Islands School Certificate Level Two (SISCL2). Candidates sit a single three-hour question-and-answer booklet covering algebra and functions, calculus, coordinate geometry, trigonometry, statistics and probability, and geometry and vectors. In 2026 the Mathematics paper is scheduled for Wednesday 28 October. The 100 questions on this page are an English-language multiple-choice study adaptation built around the same syllabus content; they are a revision aid rather than a simulation of the official paper, which also requires written working, graphs and extended responses.

Assessment

Single 3-hour question-and-answer booklet with 10 minutes of reading time. All sections are compulsory. Section A is multiple choice; later sections require worked solutions, graphs and extended problem solving written into the booklet.

Time Limit

3 hours plus 10 minutes reading time (session 9.00 am – 12.10 pm)

Passing Score

MEHRD does not publish a fixed percentage pass mark. Subject scores feed a Year 12 aggregate; for the 2023 sitting MEHRD reported a minimum aggregate of 265 within an aggregate range of 265–500, and 58.8% of that cohort reached or exceeded it.

Exam Fee

No fee. MEHRD's administrative instruction prohibits schools from charging national examination fees for Year 9, Year 11 and Year 12 candidates. (Ministry of Education and Human Resources Development (MEHRD), National Education Assessment Division (NEAD))

SINF6 Mathematics Exam Content Outline

20 questions

Algebra and Functions

Quadratics and discriminants, factor and remainder theorems, partial fractions, logarithms and exponential equations, arithmetic and geometric series, binomial expansion, inequalities, composite and inverse functions, and graph transformations.

25 questions

Calculus

Limits, differentiation rules, implicit differentiation, tangents, stationary points and inflections, related rates, optimisation, integration by substitution and parts, area and volume applications, and separable differential equations.

15 questions

Coordinate Geometry

Distance, midpoint and section formulae, gradients, straight lines and circles, tangents, loci and perpendicular bisectors, perpendicular distance, parametric equations, and the ellipse.

15 questions

Trigonometry

Radians and exact values, identities, compound and double-angle formulae, the R sin(x + alpha) form, trigonometric equations, sine and cosine rules, and sector area.

15 questions

Statistics and Probability

Averages and spread, interquartile range, permutations and combinations, conditional probability and Bayes' theorem, expectation, binomial and normal distributions, and probability density functions.

10 questions

Geometry and Vectors

Vector arithmetic and magnitude, dot product and angles, perpendicularity, projections, vector equations of lines, and solid mensuration.

How to Pass the SINF6 Mathematics Exam

What You Need to Know

  • Passing score: MEHRD does not publish a fixed percentage pass mark. Subject scores feed a Year 12 aggregate; for the 2023 sitting MEHRD reported a minimum aggregate of 265 within an aggregate range of 265–500, and 58.8% of that cohort reached or exceeded it.
  • Assessment: Single 3-hour question-and-answer booklet with 10 minutes of reading time. All sections are compulsory. Section A is multiple choice; later sections require worked solutions, graphs and extended problem solving written into the booklet.
  • Time limit: 3 hours plus 10 minutes reading time (session 9.00 am – 12.10 pm)
  • Exam fee: No fee. MEHRD's administrative instruction prohibits schools from charging national examination fees for Year 9, Year 11 and Year 12 candidates.

Keys to Passing

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

SINF6 Mathematics Study Tips from Top Performers

1Work every question with pen and paper first: the official paper awards marks for method, so practising only the final answer will not prepare you for Section B.
2Learn the standard derivatives and integrals until recall is automatic, then drill the chain, product and quotient rules on composite expressions.
3For coordinate geometry, sketch before you calculate. A quick diagram usually reveals whether you need the distance, gradient or perpendicular-distance formula.
4Memorise the compound-angle and double-angle identities, and practise converting a sin(x) + b cos(x) into the R sin(x + alpha) form.
5In probability, write down whether events are independent, mutually exclusive or conditional before choosing a rule; most lost marks come from picking the wrong one.
6Practise under the real time limit of three hours so that you learn to leave a difficult item and return to it rather than stalling.

Frequently Asked Questions

What is the SINF6 Mathematics examination?

It is the national Form 6 (Year 12) mathematics paper administered by MEHRD's National Education Assessment Division. It forms part of the Solomon Islands National Form Six School Certificate, which MEHRD now timetables as the Solomon Islands School Certificate Level Two (SISCL2).

When is the 2026 SINF6 Mathematics examination?

MEHRD has scheduled Mathematics for Wednesday 28 October 2026, with 10 minutes of reading time and a 3-hour paper running from 9.00 am to 12.10 pm. The full SISCL2 examination period runs from 26 October to 6 November 2026.

How many questions are on the official paper?

MEHRD does not publish a fixed item count. The paper is a single question-and-answer booklet with compulsory sections; the 2020 marking schedule shows a 20-mark multiple-choice Section A followed by a 100-mark Section B of written solutions.

Is this practice bank the same format as the real exam?

No. The official paper requires written working, graphs and extended responses as well as multiple choice. These 100 items are an English-language multiple-choice study adaptation covering the same syllabus content, designed for revision and self-checking rather than format simulation.

Is there a fee to sit SINF6 Mathematics?

No. MEHRD's administrative instruction to schools prohibits charging national examination fees for Year 9, Year 11 and Year 12 candidates, alongside registration and administration fees.

What mark do I need to pass?

MEHRD does not publish a fixed percentage pass mark per subject. Subject scores contribute to a Year 12 aggregate; for the 2023 sitting MEHRD reported a minimum aggregate of 265 on a 265–500 range, and the overall 2025 Year 12 pass rate was 53.8%.

In what language is the examination set?

English. English is the language of instruction and assessment in Solomon Islands secondary schools, so this bank is in the same language as the official paper.

When are results released?

In mid-January. MEHRD released the 2025 national examination and placement results on 14 and 16 January 2026, endorsed under the Education Act 2023.