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PISA – mathematical literacy: Uncertainty and data

10 PISA questions with solutions: probability, averages, percentages, interpreting statements, combinations.

Type the number or choose the right answer. When you finish, click Check answers and see the solutions.

1. A bag has 30 sweets, 6 of them red. Mile takes one without looking. What is the probability it is red?

A. 10%

B. 25%

C. 20%

D. 50%

Solution: 6/30 = 1/5 = 20%.

2. A geologist says: “The chance of an earthquake in Zed City in the next 20 years is two out of three.” What does this mean?

A. There will certainly be an earthquake in those 20 years.

B. An earthquake in those 20 years is more likely than not.

C. The earthquake will come in 13–14 years (2/3 × 20).

D. It means nothing; nobody can say anything.

Solution: 2/3 > 1/2: an earthquake is more likely than no earthquake, but it is not certain.

3. Matej’s mean on the first 4 biology tests is 60 points and he scores 80 on the fifth. What is his mean for all 5 tests?Enter a number only

Solution: (4 × 60 + 80) : 5 = 320 ÷ 5 = 64.

4. A factory makes 2000 video players (5% faulty) and 6000 audio players (3% faulty) every day. How many video players go for repair each day?Enter a number only

Solution: 2000 × 5 ÷ 100 = 100.

5. How many audio players go for repair each day?Enter a number only

Solution: 6000 × 3 ÷ 100 = 180 – more than the video players, although the percentage is smaller.

6. Is it true that one third of the players made each day are video players?

A. Yes

B. No

Solution: 2000 of 8000 is 1/4, not 1/3.

7. An audio player is picked at random. What is the probability that it needs repair?

A. 0.03

B. 0.3

C. 0.05

D. 0.75

Solution: 3% = 0.03.

8. For a pizza, 2 different toppings are chosen from 4: olives, ham, mushrooms, salami. How many different combinations are there?Enter a number only

Solution: 4 × 3 ÷ 2 = 6.

9. US CO2 emissions rose from 6049 million tonnes (1990) to 6727 million tonnes (1998). By what percentage (rounded)?Enter a number only

Solution: 6727 − 6049 = 678; 678 ÷ 6049 × 100 ≈ 11%.

10. Emissions fell by 16% in Germany but only by 4% in the whole EU. Is that possible, although Germany is part of the EU?

A. No, it is a mistake in the data

B. Yes, it may have risen in other EU countries

C. No, the EU must be at least 16%

D. Only if Germany is the largest country

Solution: Yes: emissions may have risen in other EU countries, so the total fall is smaller.

PISA – mathematical literacy

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Space and shape
Change and relationships
Uncertainty and data

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Author: Dr Zenafer Bajmak, mentor teacher© 2015–2026 matura.mk