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100+ Free MB Pre-Calculus 40S Practice Questions

Manitoba Grade 12 Pre-Calculus Mathematics 40S Provincial Achievement Test practice questions are available now; exam metadata is being verified.

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2026 Statistics

Key Facts: MB Pre-Calculus 40S Exam

3 hours

One three-hour session, written at the end of each semester

Grade 12 Mathematics Achievement Tests Information Bulletin

20%

Weight of the test in the final Pre-Calculus Mathematics 40S course mark

Manitoba Education and Early Childhood Learning

6 strands

Transformations, polynomial, radical and rational functions, exponents and logarithms, trigonometry, and combinatorics

Manitoba Curriculum Framework of Outcomes (2014)

Selected + constructed

Combines selected-response and constructed-response questions

Grade 12 Mathematics Achievement Tests Information Bulletin

Formula sheet

Formula sheet and terminology sheet are provided during the test

Grade 12 Mathematics Achievement Tests Information Bulletin

English and French

Offered as Pre-Calculus Mathematics 40S and Mathematiques pre-calcul 40S

Manitoba Education and Early Childhood Learning

Locally marked

Marked at the school level, with a provincial central-marking sample

Grade 12 Mathematics Achievement Tests Information Bulletin

No fee

Provided at no cost through the student's school

Manitoba Education and Early Childhood Learning

The Manitoba Pre-Calculus Mathematics 40S achievement test is a three-hour provincial test written at the end of the course, worth 20% of the final mark, with no separate pass mark and no fee. It mixes selected-response and constructed-response questions across the six strands of the Manitoba pre-calculus curriculum, provides formula and terminology sheets, and is offered in English and French. Marking is done locally, with a provincial central-marking sample. The 100-question English multiple-choice bank on this site is a study adaptation for building concepts, procedures, and error analysis - it is not an official-format simulation and is not a substitute for practising full constructed-response solutions.

Sample MB Pre-Calculus 40S Practice Questions

Try these sample questions to test your MB Pre-Calculus 40S exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Convert 150° to radians.
A.5π/12
B.5π/6
C.7π/6
D.2π/3
Explanation: Multiply by π/180: 150° × π/180 = 150π/180 = 5π/6. Dividing numerator and denominator by 30 gives the simplified radian measure.
2What is the reference angle of 240°?
A.30°
B.40°
C.60°
D.50°
Explanation: An angle of 240° terminates in Quadrant III, so the reference angle is 240° − 180° = 60°. The reference angle is always the acute angle between the terminal arm and the x-axis.
3Which angle is coterminal with 45°?
A.135°
B.−45°
C.315°
D.405°
Explanation: Coterminal angles differ by a multiple of 360°. Since 45° + 360° = 405°, the angle 405° is coterminal with 45° and shares the same terminal arm.
4What is the exact value of sin 30°?
A.1/2
B.√3/2
C.√2/2
D.1
Explanation: From the special 30°-60°-90° triangle, the side opposite 30° is half the hypotenuse, so sin 30° = 1/2. This is a required exact value on the unit circle.
5What is the exact value of cos π?
A.0
B.−1
C.1
D.−1/2
Explanation: The angle π radians (180°) corresponds to the point (−1, 0) on the unit circle. Since cos θ is the x-coordinate, cos π = −1.
6What is the amplitude of y = 3 sin(2x)?
A.2
B.3π
C.3
D.6
Explanation: For y = a sin(bx), the amplitude is |a|. Here a = 3, so the amplitude is 3. The factor 2 affects the period, not the amplitude.
7A circle has radius 6 cm. What is the length of the arc subtended by a central angle of π/3 radians?
A.2 cm
B.π cm
C.6π cm
D.2π cm
Explanation: Arc length is s = rθ when θ is in radians. Here s = 6 × π/3 = 2π cm.
8What is the exact value of tan 45°?
A.1
B.√3
C.√3/3
D.undefined
Explanation: tan 45° = sin 45°/cos 45° = (√2/2)/(√2/2) = 1. At 45° the sine and cosine values are equal, so their quotient is 1.
9Convert 7π/6 radians to degrees.
A.220°
B.210°
C.240°
D.150°
Explanation: Multiply by 180/π: (7π/6) × (180/π) = 7 × 180/6 = 7 × 30 = 210°.
10Solve sin θ = −1/2 for θ in the interval [0, 2π).
A.θ = 7π/6 and θ = 5π/6
B.θ = π/6 and θ = 11π/6
C.θ = 7π/6 and θ = 11π/6
D.θ = 4π/3 and θ = 5π/3
Explanation: The reference angle for sin θ = 1/2 is π/6. Since sine is negative in Quadrants III and IV, the solutions are π + π/6 = 7π/6 and 2π − π/6 = 11π/6.

About the MB Pre-Calculus 40S Practice Questions

Verified exam format metadata for Manitoba Grade 12 Pre-Calculus Mathematics 40S Provincial Achievement Test is pending. The practice questions above remain available while official exam length, timing, passing score, fee, and administrator details are reviewed.