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100+ Free Mathematics Basic Practice Questions

Finnish Matriculation Examination Mathematics — Basic Syllabus practice questions are available now; exam metadata is being verified.

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Key Facts: Mathematics Basic Exam

Drill Finland Ylioppilastutkinto mathematics basic skills with 100 original English MCQs: functions, algebra, geometry, probability, modeling, and calculus ideas. Official exam is a 6-hour digital constructed-response paper (max 120 points).

Sample Mathematics Basic Practice Questions

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

1Calculate 15% of 240.
A.24
B.36
C.40
D.48
Explanation: 15% means 0.15 as a decimal. Multiplying gives 0.15 × 240 = 36. Equivalently, 10% of 240 is 24 and 5% is 12, so 15% is 24 + 12 = 36.
2A jacket costs €80. It is discounted by 25%. What is the sale price?
A.€20
B.€55
C.€60
D.€65
Explanation: A 25% discount multiplies the price by 0.75. Sale price = 80 × 0.75 = €60. Alternatively, the discount amount is 0.25 × 80 = €20, so 80 − 20 = 60.
3A price increases from €40 to €50. What is the percentage increase?
A.10%
B.20%
C.25%
D.50%
Explanation: Percentage change = (new − old) / old × 100% = (50 − 40) / 40 × 100% = 10/40 × 100% = 25%.
4After a 20% discount, a product costs €72. What was the original price?
A.€86.40
B.€90
C.€92
D.€96
Explanation: If the sale price is 80% of the original, then original = 72 / 0.80 = 90. So the original price was €90.
5A Finnish shop quotes €248 including 24% VAT. What is the price excluding VAT?
A.€188.80
B.€200
C.€224
D.€248 × 0.24
Explanation: Price excluding VAT = gross / 1.24. Computing 248 ÷ 1.24 = 200. So the net price is €200.
6Simplify 2(3x − 4) − (x + 5).
A.5x − 13
B.5x − 3
C.6x − 13
D.7x − 3
Explanation: Expand: 2(3x − 4) = 6x − 8. Then 6x − 8 − x − 5 = (6x − x) + (−8 − 5) = 5x − 13.
7Solve 3x − 7 = 11.
A.x = 2
B.x = 4
C.x = 6
D.x = 18
Explanation: Add 7 to both sides: 3x = 18. Divide by 3: x = 6.
8Solve the equation 2x + 3 = 15 − x.
A.x = 3
B.x = 4
C.x = 6
D.x = 12
Explanation: Add x to both sides: 3x + 3 = 15. Subtract 3: 3x = 12. Divide by 3: x = 4.
9Solve the inequality 2x − 5 > 7.
A.x > 1
B.x > 6
C.x ≥ 6
D.x < 6
Explanation: Add 5: 2x > 12. Divide by 2 (positive, so inequality direction stays): x > 6. The inequality is strict, so x = 6 is not included.
10Factorise x² + 5x + 6.
A.(x + 1)(x + 6)
B.(x + 2)(x + 3)
C.(x − 2)(x − 3)
D.(x + 2)(x − 3)
Explanation: Find two numbers that multiply to 6 and add to 5: 2 and 3. So x² + 5x + 6 = (x + 2)(x + 3).

About the Mathematics Basic Practice Questions

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