Maps & Interpretation of Graphs Quiz: Reasoning Practice

Spoilers! These are the Starter quiz’s answers. Easy, Medium, Hard and Mixed rounds show their own answers when you finish.

1. On a map, 1 cm represents 25 km. Two towns are 6.4 cm apart on the map. What is the actual distance?

   • 150 km
   • 165 km
   • 160 km
   • 64 km

   Answer: 160 km. Actual distance = 6.4 × 25 = 160 km.

2. A map has a scale of 1 : 50,000. What actual distance does 4 cm on the map represent?

   • 2 km
   • 20 km
   • 0.5 km
   • 4 km

   Answer: 2 km. 4 cm × 50,000 = 200,000 cm. Since 1 km = 100,000 cm, that is 2 km.

3. On a map with north at the top, place P is up and to the left of place Q along a diagonal. In which direction is P from Q?

   • North-east
   • North-west
   • South-west
   • South-east

   Answer: North-west. Up is north and left is west on a north-up map, so P lies north-west of Q.

4. A school's enrolment was 400 in 2021, 450 in 2022, 540 in 2023 and 486 in 2024. In which year was the percentage rise over the previous year highest?

   • 2022
   • 2024
   • Equal in 2022 and 2023
   • 2023

   Answer: 2023. 2022: 50/400 = 12.5%. 2023: 90/450 = 20%. 2024 was a fall. So 2023 had the highest rise.

5. Using the same data (540 in 2023, 486 in 2024), what was the percentage fall in 2024?

   • 10%
   • 9%
   • 11.1%
   • 54%

   Answer: 10%. Fall = 54, measured against the earlier value: 54/540 × 100 = 10%. Dividing by 486 gives the 11.1% trap.

6. In a pie chart of a family's monthly spending of Rs 40,000, food has a sector of 90°. How much is spent on food?

   • Rs 9,000
   • Rs 12,000
   • Rs 10,000
   • Rs 4,000

   Answer: Rs 10,000. 90° is 90/360 = 1/4 of the circle, so food = 40,000 / 4 = Rs 10,000.

7. A sector of a pie chart represents 15% of the total. What is its central angle?

   • 45°
   • 54°
   • 60°
   • 15°

   Answer: 54°. The full circle is 360°, so 15% of 360 = 54°.

8. A line graph shows temperatures of 18°C at 6 am, 22°C at 9 am, 30°C at 12 noon, 32°C at 3 pm and 26°C at 6 pm. Between which consecutive readings is the rise steepest?

   • 6 am to 9 am
   • 12 noon to 3 pm
   • 3 pm to 6 pm
   • 9 am to 12 noon

   Answer: 9 am to 12 noon. The rises are 4, 8 and 2 degrees; 3 pm to 6 pm is a fall. The steepest rise, 8 degrees, is from 9 am to 12 noon.

9. A bar graph shows sales on five days: 12, 18, 15, 20 and 25 units. What is the average daily sale?

   • 18
   • 17
   • 19
   • 20

   Answer: 18. Total = 12 + 18 + 15 + 20 + 25 = 90. Average = 90 / 5 = 18.

10. On a topographic map, contour lines drawn very close together indicate:

    • A gentle slope
    • Flat land
    • A steep slope
    • A water body

    Answer: A steep slope. Contours join points of equal height. Close spacing means height changes quickly over a short distance — a steep slope.