Quiz

PISA – mathematical literacy: Space and shape

10 PISA questions with solutions: angles, arcs of a circle, dice, stairs, a Ferris wheel, estimating area.

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

1. A revolving door has three wings in a circular space of diameter 200 cm; the wings divide the space into three equal parts. How many degrees is the angle between two wings?Enter a number only

2. The two openings of the door (arcs of the circle) are equal. What is the largest length each opening can have so that air never flows straight through the door?

A. about 209 cm

B. about 314 cm

C. about 52 cm

D. about 105 cm

3. The door makes 4 full turns a minute and each of the three sections holds at most 2 people. At most how many people can enter in 30 minutes?Enter a number only

4. On a dice the dots on opposite faces always add up to 7. The top shows 2. How many dots are on the bottom?Enter a number only

5. On the same dice you see three faces with 1, 2 and 3 dots. How many dots do the three hidden faces have in total?Enter a number only

6. A staircase of 14 equal steps is 252 cm high in total. How high is one step, in cm?Enter a number only

7. A Ferris wheel has a diameter of 140 m and its highest point is 150 m above the river bed. It makes a full turn in 40 minutes. How many metres above the river bed is the centre of the wheel?Enter a number only

8. Through how many degrees does the wheel turn in half an hour?Enter a number only

9. A dice shows 3 on top and 2 at the front. What is the total of the bottom and back faces?Enter a number only

10. On a map Antarctica is roughly a circle about 4200 km across (distances measured with the map scale). Which is the best estimate of its area?

A. about 1.4 million km²

B. about 140 000 km²

C. about 140 million km²

D. about 14 million km²