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Quiz

PISA – mathematical literacy: Change and relationships

10 PISA questions with solutions: formulae, repeated percentages, speed and time, comparing formulae.

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

1. For men, the formula n/P = 140 links n (steps per minute) and P (step length in metres). Kiril takes 70 steps a minute. How long is his step?

2. Petar’s step is 0.80 m (same formula). How many steps does he take a minute?

3. How many metres a minute does Petar walk?

4. A patient is given 300 mg of penicillin at 8:00. At the end of each hour only 60% of the penicillin of the hour before is still active. How many mg are active at 9:00?

5. How many mg are active at 10:00?

6. Old formula: recommended maximum heart rate = 220 − age. New formula: 208 − 0.7 · age. Above what age does the new formula give a higher heart rate than the old one?

7. What is the maximum heart rate by the new formula for a 30-year-old?

8. About 200 000 people climb Mount Fuji from 1 July to 27 August. About how many climb each day?

9. The Gotemba trail to the top of Mount Fuji is 9 km long. Toshe climbs at 1.5 km/h and comes down twice as fast. He must be back by 8 p.m. (20:00). At what hour must he start at the latest?

10. Climbing the 9 km, Toshe took 22 500 steps. How long is his average step, in cm?