Norwegian Eksamen Practice Test 2026

About the Norwegian Eksamen exam

The Norwegian Upper Secondary Exam (Norwegian Eksamen) is a university entrance examination administered in Norway. It is designed to assess candidates' knowledge and proficiency across 5 key subject areas including Norwegian, Mathematics, English, Sciences. This exam is widely recognized as an essential benchmark for students and professionals.

Use short Norwegian Eksamen practice sets to identify topics to revisit. Choose a subject and difficulty, answer questions, then review the explanations. New accounts get 30 question credits; further new questions use paid credits. Retaking previously seen questions is free.

Whether you're a first-time candidate or retaking the Norwegian Eksamen to improve your score, InfinityMock helps you identify your strengths and weaknesses through detailed performance analytics. Our platform covers Norwegian, Mathematics, English, Sciences, Social Studies, with questions available at Easy, Medium, and Hard difficulty levels. Track your progress, review detailed explanations, and build the confidence you need to pass on exam day.

Norwegian Eksamen — quick answers

Norwegian Eksamen at a glance

8 free Norwegian Eksamen practice questions (2026)

Answer these first — no signup, no card. Every answer is explained. For more practice, sign up for 30 free question credits and choose a subject above.

1. A line l is given by the parametric vector equation r(t) = [1 + 2t, -t, 3 + 2t] and a plane alpha is given by the equation x + 2y - z = 5. Find the coordinates of the point where the line l intersects the plane alpha.

   • (-6, 3.5, -4)
   • (6, -3.5, 4)
   • (-1, 1, 1)
   • (0, 0.5, -2)
   Show answer & explanation

   Answer: A. (-6, 3.5, -4)

   Substitute the parametric coordinates of the line (x = 1 + 2t, y = -t, z = 3 + 2t) into the plane equation: (1 + 2t) + 2(-t) - (3 + 2t) = 5. Simplifying this gives -2 - 2t = 5, which solves to t = -3.5. Substituting t = -3.5 back into the parametric equations yields the point (-6, 3.5, -4).

   Topic: Mathematics · hard

2. Evaluate the definite integral from x = 1 to x = e of the function f(x) = x * ln(x).

   • (e^2 - 1) / 4
   • (e^2 + 1) / 4
   • (e^2) / 4
   • (e + 1) / 4
   Show answer & explanation

   Answer: B. (e^2 + 1) / 4

   Using integration by parts with u = ln(x) and v' = x, we get the antiderivative as F(x) = 0.5 * x^2 * ln(x) - 0.25 * x^2. Evaluating F(e) - F(1) gives (0.5 * e^2 - 0.25 * e^2) - (0 - 0.25) = (e^2 + 1) / 4.

   Topic: Mathematics · hard

3. An infinite geometric series has its first term a = ln(x) and common ratio r = ln(x). For which interval of x does this series converge?

   • 0 < x < e
   • x > 1/e
   • 1/e < x < e
   • 1 < x < e
   Show answer & explanation

   Answer: C. 1/e < x < e

   An infinite geometric series converges if and only if the absolute value of the common ratio is strictly less than 1: |r| < 1. Here, |ln(x)| < 1, which translates to -1 < ln(x) < 1. Exponentiating all parts of the inequality using base e yields e^(-1) < x < e^1, which is 1/e < x < e.

   Topic: Mathematics · hard

4. A manufacturing plant uses two machines, A and B. Machine A produces 60% of the daily output, and Machine B produces 40%. It is known that 2% of the components from Machine A are defective, and 5% of the components from Machine B are defective. If a randomly selected component is found to be defective, what is the probability that it was produced by Machine B?

   • 0.375
   • 0.500
   • 0.400
   • 0.625
   Show answer & explanation

   Answer: D. 0.625

   Using Bayes' Theorem: P(B|Defective) = [P(Defective|B) * P(B)] / [P(Defective|A) * P(A) + P(Defective|B) * P(B)]. Substituting the values: (0.05 * 0.40) / (0.02 * 0.60 + 0.05 * 0.40) = 0.02 / (0.012 + 0.02) = 0.02 / 0.032 = 5/8 = 0.625.

   Topic: Mathematics · hard

5. Solve the first-order linear differential equation y' + 2xy = x, given the initial condition y(0) = 1.

   • y = 0.5 * (1 + e^(-x^2))
   • y = 0.5 * (1 - e^(-x^2))
   • y = e^(-x^2)
   • y = 1
   Show answer & explanation

   Answer: A. y = 0.5 * (1 + e^(-x^2))

   Using the integrating factor I(x) = e^(integral(2x dx)) = e^(x^2). Multiplying both sides by I(x) gives d/dx [y * e^(x^2)] = x * e^(x^2). Integrating both sides gives y * e^(x^2) = 0.5 * e^(x^2) + C. Using y(0) = 1, we get 1 = 0.5 + C, so C = 0.5. Thus, y = 0.5 + 0.5 * e^(-x^2).

   Topic: Mathematics · hard

6. A flat piece of cardboard measuring 12 cm by 12 cm is used to construct an open box by cutting out equal squares of side length x from each corner and folding up the flaps. Find the value of x (in cm) that maximizes the volume of the box.

   • 3 cm
   • 2 cm
   • 4 cm
   • 1.5 cm
   Show answer & explanation

   Answer: B. 2 cm

   The volume is given by V(x) = x * (12 - 2x)^2 = 4x^3 - 48x^2 + 144x. Taking the derivative gives V'(x) = 12x^2 - 96x + 144. Setting V'(x) = 0 gives 12(x^2 - 8x + 12) = 0, which factors to 12(x - 2)(x - 6) = 0. Since x must be in the interval (0, 6) for a physical box, the maximum occurs at x = 2 cm.

   Topic: Mathematics · hard

7. Find the volume of the parallelepiped spanned by the three vectors u = [1, 2, -1], v = [0, 3, 1], and w = [2, -1, 4].

   • 17
   • 29
   • 23
   • 15
   Show answer & explanation

   Answer: C. 23

   The volume of the parallelepiped is given by the absolute value of the scalar triple product |u . (v x w)|. First, v x w = [ (3*4 - 1*(-1)), -(0*4 - 1*2), (0*(-1) - 3*2) ] = [13, 2, -6]. Then, u . (v x w) = 1*13 + 2*2 + (-1)*(-6) = 13 + 4 + 6 = 23.

   Topic: Mathematics · hard

8. Find the slope of the tangent line to the curve defined implicitly by the equation x^2 * y + y^3 = 10 at the point (1, 2).

   • -2/13
   • -4/7
   • -2/7
   • -4/13
   Show answer & explanation

   Answer: D. -4/13

   Differentiating implicitly with respect to x: 2x*y + x^2*y' + 3y^2*y' = 0. Substituting x = 1 and y = 2 gives: 2(1)(2) + 1^2*y' + 3(2^2)*y' = 0, which simplifies to 4 + y' + 12y' = 0, meaning 13y' = -4, so y' = -4/13.

   Topic: Mathematics · hard

Why Practice with InfinityMock's Norwegian Eksamen Mock Test?

• Fresh practice questions — Use credits for new questions; retake seen questions free
• Instant Results & Explanations — Learn from every question with detailed answer explanations
• Performance Analytics — Track your progress with grade reports, difficulty breakdowns, and time analysis
• Independent practice — Use alongside current official Norwegian Eksamen materials
• Multiple Difficulty Levels — Practice Easy, Medium, or Hard Norwegian Eksamen questions

Norwegian Eksamen Exam Subjects

Available practice subjects: Norwegian, Mathematics, English, Sciences, Social Studies. Select a subject for focused preparation. Coverage is not a guarantee of the complete official syllabus.

📖 Norwegian Eksamen Study Guide

Read our comprehensive How to Pass the Norwegian Eksamen in 2026 — Complete Study Guide for expert preparation tips, study plans, and strategies.

🔗 Related Exams

Students preparing for Norwegian Eksamen also practice for:

Frequently Asked Questions

📚 Browse All 275+ Exams →