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100+ Free Estonian Upper-Secondary Narrow Mathematics Exam Practice Questions

Estonian Upper-Secondary State Examination — Mathematics, Narrow Course (Kitsas matemaatika) practice questions are available now; exam metadata is being verified.

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2026 Statistics

Key Facts: Estonian Upper-Secondary Narrow Mathematics Exam Exam

8 compulsory courses (ROK Lisa 3)

Kitsas matemaatika's national curriculum annex covers number sets/equations, trigonometry, vectors/line equations, probability/statistics, functions, sequences/derivative, planimetry/integral, and stereometry

Gumnaasiumi riiklik oppekava, Lisa 3 - Kitsas matemaatika ainekava

100 points / 12 tasks / 270 minutes

Two-part written exam: Part I (120 min, 7 tasks, 50 pts) and Part II (150 min, 5 tasks, 50 pts), separated by a 45-minute break, starting at 10:00

Kitsa ja laia matemaatikakursuse riigieksamite eristuskiri (SA Innove/Harno)

1% to pass (1 point)

The exam counts as 'sooritatud' (completed) at just 1% of the maximum result; there is no higher numeric pass/fail threshold

Haridus- ja teadusministri maarus nr 54, ptk 4 par 37

4,855 candidates, 35.4 avg (2026)

Kitsas matemaatika candidates and average score in spring 2026 (down 3.7 points from 2025), versus 5,670 candidates and a 59.2 average on the lai (broad) paper

ERR, 'Harno: eksamitulemused pusivad mullusega sarnasel tasemel' (June 2026)

20 May 2026

2025/2026 exam date for the gumnaasiumi riigieksam Matemaatika (kitsas and lai sat the same day); makeup sessions 25-29 May and 3 June 2026, results published 18 June 2026

Haridus- ja Teadusministeerium, EKSAMITE KALENDER 2026

Formula sheet added to booklet (2026)

Harno now includes an official valemileht inside the exam booklet itself, though its assessment center director noted this did not raise average scores versus the prior year

ERR, 'Harno: eksamitulemused pusivad mullusega sarnasel tasemel' (June 2026)

Free 100-question MCQ study bank for Estonia's kitsas matemaatika riigieksam (narrow-course mathematics), covering the computations behind all 8 official ROK Lisa 3 courses: algebra/equations/inequalities, trigonometry, vectors and line/circle equations, probability and statistics, functions/logarithms/percentages, sequences and the derivative, planimetry and the integral, and stereometry. Official exam: two-part written paper, 100 points across 12 tasks (Part I 120 min/50 pts, 45-min break, Part II 150 min/50 pts), officially starting 10:00, scheduled 20 May 2026 (same day as the lai/broad paper); considered completed at just 1% (1 point), with no separate pass threshold. In 2026, 4,855 candidates sat kitsas (35.4-point average, 2 perfect scores) versus 5,670 on lai (59.2 average, 63 perfect scores). Registration and track choice due 20 January; personal calculator and writing/drawing instruments allowed, plus an official Harno-provided formula sheet in the booklet as of 2026 - no outside reference materials. Not an official-format simulation; free for regular gumnaasium candidates.

Sample Estonian Upper-Secondary Narrow Mathematics Exam Practice Questions

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

1Solve for x: 3x - 7 = 2x + 5.
A.12
B.-2
C.2
D.-12
Explanation: Subtract 2x from both sides to get x - 7 = 5, then add 7 to both sides to find x = 12. Always move variable terms to one side and constant terms to the other before combining.
2Evaluate: |-3| + |2 - 5|.
A.6
B.0
C.4
D.-6
Explanation: The absolute value of -3 is 3, and 2 - 5 = -3, whose absolute value is also 3. Adding these gives 3 + 3 = 6.
3Simplify: x^3 * x^(-1), for x ≠ 0.
A.x^2
B.x^3
C.x^(-3)
D.x^4
Explanation: When multiplying powers with the same base, add the exponents: 3 + (-1) = 2, giving x^2.
4Solve for x: 2^x = 8.
A.3
B.4
C.2
D.16
Explanation: Since 8 = 2^3, the equation 2^x = 2^3 gives x = 3 by matching exponents on equal bases.
5Solve for x: x^2 - 5x + 6 = 0.
A.x = 2 or x = 3
B.x = -2 or x = -3
C.x = 1 or x = 6
D.x = 2 or x = -3
Explanation: Factor the quadratic as (x-2)(x-3)=0, so the solutions are x=2 and x=3, since these are the two numbers that multiply to 6 and add to 5.
6Solve the inequality: x^2 - 4x + 3 > 0.
A.x < 1 or x > 3
B.1 < x < 3
C.x ≤ 1 or x ≥ 3
D.x < -1 or x > -3
Explanation: Factor as (x-1)(x-3)>0. Since the parabola opens upward, the expression is positive outside the roots, so the solution is x<1 or x>3.
7Solve the system: 2x + y = 7 and x - y = 2.
A.x = 3, y = 1
B.x = 1, y = 3
C.x = 3, y = -1
D.x = 2, y = 3
Explanation: Adding the two equations eliminates y: 3x = 9, so x = 3. Substituting back gives y = 7 - 2(3) = 1.
8Solve for x: (x + 3)/(x - 1) = 2.
A.x = 5
B.x = -5
C.x = 1
D.x = -1
Explanation: Multiply both sides by (x-1): x + 3 = 2(x-1) = 2x - 2, so 5 = x. Checking, x=5 does not make the denominator zero, so it is valid.
9Solve for x: √(2x + 3) = 5.
A.x = 11
B.x = 14
C.x = 1
D.x = 22
Explanation: Square both sides: 2x + 3 = 25. Subtract 3: 2x = 22, so x = 11.
10Simplify: (x^2 - 9)/(x - 3), for x ≠ 3.
A.x + 3
B.x - 3
C.x^2 - 3
D.x + 9
Explanation: Factor the numerator as a difference of squares: (x-3)(x+3). Dividing by (x-3) leaves x+3.

About the Estonian Upper-Secondary Narrow Mathematics Exam Practice Questions

Verified exam format metadata for Estonian Upper-Secondary State Examination — Mathematics, Narrow Course (Kitsas matemaatika) is pending. The practice questions above remain available while official exam length, timing, passing score, fee, and administrator details are reviewed.