Interactive quiz

INVALSI mathematics 2016–17: 13 questions

Thirteen questions adapted from the 2016–17 INVALSI grade-10 paper, with worked solutions.

13 randomly selected questions Pass mark: 60%

Instructions

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

D14c. One contract pays a fixed €50,000; another pays €5,000 plus €3 per copy. After how many copies are the earnings equal?

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D1. There are 90 people at a conference, with 14 more women than men. How many men are there?

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D3. Ten measurements of a metal sheet’s mass are close but not identical. Which statistic best estimates the sheet’s mass?

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D31b. For every natural number n, is 3n always odd?

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D31c. If n is a positive natural number, is (2n−1)² always even?

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D9. Two congruent squares each have perimeter 36 cm and are joined along one side to make a rectangle. What is the rectangle’s perimeter?

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D14a. An author earns €5,000 plus 10% of a €30 cover price per copy sold. How much does the author earn for 2,000 copies?

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D21. What is the slope of the line through A(−1,3) and B(2,1)?

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D31a. For every natural number n, is 2n+1 always odd?

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D10. A shop sells 28, 34 and 30 e-readers in three months; in the other nine months it averages 18 a month. About how many per month does it sell over the year?

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D7. Two cities lie 180 km and 140 km from Lisbon respectively and are not collinear with it. Which interval must contain the distance between the cities?

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D8. Each bag needs 15 mint and 25 lemon sweets. With 100 mint and 180 lemon sweets, what is the largest number of complete bags?

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D14b. An author earns €5,000 plus 10% of a €30 cover price per copy. Which formula gives payment C for n copies?

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