Interactive quiz

INVALSI mathematics, grade 10: 17 questions

Interactive practice with 17 questions adapted from the 2012–2013 INVALSI grade 10 test.

17 randomly selected questions Pass mark: 60%

Instructions

Questions and answers are shuffled. 1 point for a correct answer; 0 for a wrong or blank answer. Worked solutions appear after submission. This is an adapted selection, not the complete official paper.

D7. The side of a square increases by 20%. By what percentage does its area increase?

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D28. In a lake, 200 fish are marked and released. In a later catch of 720 fish, 12 are marked. Using the same proportion, what is the estimated lake population?

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D18. What is the smallest positive multiple of 28, 21 and 14?

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D19. For which real numbers x does x² > 0 hold?

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D6. A proton has a mass of about 2 × 10^-27 kg and an electron about 9 × 10^-31 kg. What is the approximate mass of a hydrogen atom?

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D24. A sequence of figures contains 8, 16, 24, ... elements. Continuing the rule, how many elements are in the fourth figure?

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D30. A product costs €2,500 at shop A, which offers a 10% discount. At shop B it costs €2,950, with a 20% discount and then a €400 voucher. Which final price is lower?

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D3. A culture starts with 1,000 bacteria and grows by 10% each day. What does the model predict after 5 days?

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D9. An A4 sheet measures 0.210 m × 0.297 m. The paper has a mass of 80 g per m². What is the approximate mass of one sheet?

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D20. A quantity falls from 792 to 531. Approximately what is the percentage decrease relative to its initial value?

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D22. 592,000 people are 0.95% of a population. Approximately what is the total population?

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D12. In a sample of 300 students, 20% say they like mathematics. How many do not select it?

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D26. Intensity I is inversely proportional to the square of distance r: I = k/r². What happens to I when r doubles?

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D2. Each L printer produces three times as many pages per minute as a D printer. Together one L and one D produce 24 pages per minute. How many pages do two L printers produce in one minute?

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D14. A bus travels 120 km at 60 km/h and another 120 km at 120 km/h. What is its average speed over the full trip?

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D8. For the line y = 3x + 1, which value of x gives y = 0?

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D11. Machine A makes a correct part with probability 0.96 and machine B with probability 0.98. Assuming independence, what is the probability that both parts are correct?

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