Measurement

Early Math · 10 lessons

Saima's pencil is 15 cm long, and Aditya's pencil is 10 cm long. Whose pencil is longer?

  • Saima's pencil
  • Aditya's pencil
  • Both are the same
  • Cannot be determined
Why:

A. Saima's pencil ✓

Saima's pencil is 15 cm and Aditya's is 10 cm. Since 15 > 10, Saima's pencil is longer.

Why the others are wrong:
- B — Aditya's is actually shorter (10 cm < 15 cm)
- C — They're different lengths, so they can't be the same
- D — We have clear measurements, so we can definitely determine the answer

A box is 20 cm wide and a book is 25 cm wide. Which is wider?

  • Book
  • Box
  • Both are the same
  • Cannot be determined
Why:

• Book (A) is correct — 25 cm is larger than 20 cm, so the book is wider.

• Box (B) is wrong — The box is only 20 cm, which is smaller than the book's 25 cm.

• Both are the same (C) is wrong — 20 cm and 25 cm are different measurements.

• Cannot be determined (D) is wrong — We have clear measurements for both objects, so we can easily compare them.

Siti's garden is 30 m long and 20 m wide. What is the area of her garden?

  • 600 m²
  • 500 m²
  • 400 m²
  • 300 m²
Why:

Correct Answer: 600 m²

To find the area of a rectangle, multiply length × width: 30 m × 20 m = 600 m².

Why the others are wrong:
- 500 m² – This would be 25 × 20, which doesn't match the given dimensions
- 400 m² – This would be 20 × 20, which ignores the full length of 30 m
- 300 m² – This would be 15 × 20, which uses only half the length

A bottle is 50 cm tall and a can is 20 cm tall. Which is taller?

  • Bottle
  • Can
  • Both are the same
  • Cannot be determined
Why:

Correct answer: A (Bottle)

• The bottle is 50 cm tall and the can is 20 cm tall, so 50 cm > 20 cm—the bottle is taller.

Why the others are wrong:

• B (Can): The can is only 20 cm, which is shorter than the bottle's 50 cm.
• C (Both are the same): The heights are different numbers (50 ≠ 20), so they're not equal.
• D (Cannot be determined): We have exact measurements for both, so we can definitely compare them.

How many centimeters are there in two meters?

  • 200 cm
  • 20 cm
  • 2000 cm
  • 20,000 cm
Why:

A. 200 cm — CORRECT
• 1 meter = 100 centimeters
• 2 meters = 2 × 100 = 200 cm

B. 20 cm — WRONG
• This would only be 0.2 meters, way too small.

C. 2000 cm — WRONG
• This would be 20 meters, ten times too much.

D. 20,000 cm — WRONG
• This would be 200 meters, 100 times too much.

How many millimeters are there in two centimeters?

  • 20 mm
  • 10 mm
  • 200 mm
  • 2000 mm
Why:

A. 20 mm ✓

1 centimeter = 10 millimeters, so 2 centimeters = 2 × 10 = 20 mm.

Why the others are wrong:
- B (10 mm): This is only 1 centimeter, not 2.
- C (200 mm): This would be 20 centimeters (you multiplied by 100 instead of 10).
- D (2000 mm): This would be 2 meters (way too large).

Which is longer, 3 kilometers or 2000 meters?

  • 3 kilometers
  • 2000 meters
  • Both are the same
  • Cannot be determined
Why:

Correct answer: A (3 kilometers)

  • 1 kilometer = 1000 meters, so 3 kilometers = 3000 meters
  • 3000 meters is greater than 2000 meters, making 3 km longer

Why others are wrong:
- B: 2000 meters is shorter (only 2 km)
- C: They're not equal; 3 km is 1000 meters longer
- D: We have all the information needed to compare them

What is the weight of a fruit that is 1000 g in kg?

  • 1 kg
  • 0.5 kg
  • 10 kg
  • 100 kg
Why:

A. 1 kg — Correct
- 1000 grams equals 1 kilogram because 1 kg = 1000 g. You divide 1000 by 1000 to convert grams to kilograms.

B. 0.5 kg — Wrong
- This would be only 500 grams, half the weight of the fruit.

C. 10 kg — Wrong
- This would be 10,000 grams, ten times too heavy.

D. 100 kg — Wrong
- This would be 100,000 grams, way too heavy for a piece of fruit.

If a pen is 15 cm long, how long is it in mm?

  • 150 mm
  • 1500 mm
  • 15,000 mm
  • 150,000 mm
Why:

• A is correct (150 mm): Since 1 cm = 10 mm, multiply 15 cm × 10 = 150 mm.

• B is wrong (1500 mm): This assumes 1 cm = 100 mm, which is incorrect.

• C is wrong (15,000 mm): This would be true if the pen were 150 cm long, not 15 cm.

• D is wrong (150,000 mm): This vastly overshoots—it would be the length of a 1.5 km object!

If you walk 1 km, how many meters have you walked?

  • 1000 m
  • 10 m
  • 100 m
  • 10,000 m
Why:

A. 1000 m — Correct
One kilometer equals 1,000 meters. The prefix "kilo-" means 1,000, so you multiply: 1 km × 1,000 = 1,000 m.

B. 10 m — Wrong
This is way too short—only 10 meters is about the length of a school bus, not a full kilometer.

C. 100 m — Wrong
100 meters is closer, but still only one-tenth of a kilometer. You'd need to walk 10 of these distances to equal 1 km.

D. 10,000 m — Wrong
This is 10 times too much. You multiplied by 10,000 instead of 1,000.

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