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Measurement & evidence

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Sample exercises

Grades 5–8 · Measurement & evidence

Which record is most informative for a measured length?

  1. 12.4 cm
  2. long
  3. 12.4
Answer and explanation

12.4 cm

It gives both value and unit.

Grades 5–8 · Measurement & evidence

A length is 0.75 m. Express it in centimetres.

Answer and explanation

75 cm

There are 100 cm in 1 m, so 0.75 × 100 = 75 cm.

Grades 5–8 · Measurement & evidence

Measurements are 18, 20 and 22 seconds. Find their mean.

Answer and explanation

20 s

Their sum is 60 s; divide by 3.

Grades 5–8 · Measurement & evidence

A ruler starts its numbered scale 5 mm from its end. Where should the object start?

  1. Always at the physical end
  2. At any number without adjustment
  3. At the scale's zero mark
Answer and explanation

At the scale's zero mark

The measuring origin is the marked zero, not necessarily the ruler's edge.

Grades 5–8 · Measurement & evidence

Why is writing 12.000000 cm from a coarse ruler misleading?

Answer and explanation

The digits suggest precision the instrument did not establish.

Credit a distinction between displayed digits and measurement resolution.

Grades 5–8 · Measurement & evidence

A balance reads 2 g with nothing on it. Why will averaging many readings not necessarily fix it?

Answer and explanation

The same zero offset can remain in every reading.

A systematic offset is not removed simply by repeating measurements.

Study notes

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