Questions on Distances and Dimensions

Questions on Distances and Dimensions

Multiple-choice questions for Grade 6 involving distances and dimensions. Each problem is numbered and includes five answer choices (A–E). Full answers with explanations follow the questions.


 Topic: Distances and Dimensions

Focus: Understanding lengths, widths, heights, and distances using realistic scenarios.


✅ Questions


1. Maria walks 1.2 km to school and 1.2 km back home. What is the total distance she walks each day?

A) 1.2 km

B) 2.0 km

C) 2.2 km

D) 2.4 km

E) 3.0 km


2. A rectangular garden is 15 meters long and 10 meters wide. What is the total distance around the garden (perimeter)?

A) 25 m

B) 35 m

C) 40 m

D) 50 m

E) 60 m


3. A truck travels 120 km in the morning and 85 km in the afternoon. How far does it travel in total?

A) 190 km

B) 200 km

C) 205 km

D) 210 km

E) 215 km


4. A ladder is leaning against a wall and reaches a height of 4 meters. If the ladder is 5 meters long, how far is it from the wall at ground level (horizontal distance)?

A) 1 m

B) 2 m

C) 3 m

D) 4 m

E) 5 m


5. The length of a classroom is 8 meters, and the width is 6 meters. What is the perimeter of the classroom?

A) 14 m

B) 24 m

C) 26 m

D) 28 m

E) 30 m


6. A swimming pool is 25 meters long and 10 meters wide. How far would someone swim around it once?

A) 50 m

B) 60 m

C) 70 m

D) 80 m

E) 90 m


7. Ana walked around a rectangular park that is 50 meters long and 30 meters wide. What distance did she walk?

A) 80 m

B) 120 m

C) 150 m

D) 160 m

E) 180 m


8. A tunnel is 400 meters long. If a train travels through it in 20 seconds, what is its average speed (m/s)?

A) 10 m/s

B) 15 m/s

C) 20 m/s

D) 25 m/s

E) 30 m/s


9. A basketball court is 28 meters long and 15 meters wide. What is the perimeter of the court?

A) 82 m

B) 84 m

C) 86 m

D) 88 m

E) 90 m


10. John cycles 3.4 km to the park, 1.2 km around it, and 3.4 km back home. How far does he cycle in total?

A) 6.8 km

B) 7.0 km

C) 7.2 km

D) 8.0 km

E) 8.5 km


11. A soccer field is 100 meters long and 60 meters wide. What is the perimeter?

A) 300 m

B) 310 m

C) 320 m

D) 340 m

E) 360 m


12. A rope is 4.5 meters long. If it is cut into 3 equal parts, what is the length of each part?

A) 1.0 m

B) 1.2 m

C) 1.4 m

D) 1.5 m

E) 1.8 m


13. A rectangular field has a length of 90 m and a width of 40 m. What is the distance around the field?

A) 250 m

B) 260 m

C) 265 m

D) 270 m

E) 280 m


14. A car travels 60 km in one hour and then 90 km in the next hour. What is the total distance traveled?

A) 140 km

B) 145 km

C) 150 km

D) 155 km

E) 160 km


15. A bookshelf is 1.8 meters tall and 0.6 meters wide. What is its perimeter (assuming rectangular front)?

A) 4.2 m

B) 4.4 m

C) 4.6 m

D) 4.8 m

E) 5.0 m


16. The height of a building is 45 meters. How many floors does it have if each floor is 3 meters high?

A) 10

B) 12

C) 15

D) 18

E) 20


17. A triangular sign has sides measuring 4 m, 5 m, and 6 m. What is the perimeter?

A) 13 m

B) 14 m

C) 15 m

D) 16 m

E) 17 m


18. A rectangle has a length of 12.5 cm and width of 8.5 cm. What is the perimeter?

A) 40 cm

B) 41 cm

C) 42 cm

D) 43 cm

E) 44 cm


19. A boy runs 400 meters every morning. How far will he have run after 7 days?

A) 2,400 m

B) 2,600 m

C) 2,800 m

D) 3,000 m

E) 3,200 m


20. A paper is 21 cm long and 29.7 cm wide. What is its perimeter?

A) 101.4 cm

B) 102.2 cm

C) 102.4 cm

D) 102.6 cm

E) 102.8 cm

Questions on Distances and Dimensions

 Answers and Explanations


    1. D → 1.2 + 1.2 = 2.4 km

    2. D → (15 + 10) × 2 = 25 × 2 = 50 m

    3. C → 120 + 85 = 205 km

    4. B → 3–4–5 triangle ⇒ base = 3 m

    5. D → (8 + 6) × 2 = 14 × 2 = 28 m

    6. D → (25 + 10) × 2 = 35 × 2 = 70 m

    7. D → (50 + 30) × 2 = 80 × 2 = 160 m

    8. C → 400 ÷ 20 = 20 m/s

    9. B → (28 + 15) × 2 = 43 × 2 = 86 m

    10. D → 3.4 + 1.2 + 3.4 = 8.0 km

    11. E → (100 + 60) × 2 = 160 × 2 = 320 m

    12. D → 4.5 ÷ 3 = 1.5 m

    13. D → (90 + 40) × 2 = 130 × 2 = 260 m

    14. C → 60 + 90 = 150 km

    15. D → (1.8 + 0.6) × 2 = 2.4 × 2 = 4.8 m

    16. C → 45 ÷ 3 = 15 floors

    17. C → 4 + 5 + 6 = 15 m

    18. D → (12.5 + 8.5) × 2 = 21 × 2 = 42 cm

    19. D → 400 × 7 = 2,800 m

    20. D → (21 + 29.7) × 2 = 50.7 × 2 = 101.4 cm



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Ronaldo Silva: Professor and Specialist in Science Teaching, from UFF/RJ, with more than 25 years of experience in teaching.

 
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