Grade 10 · Science · Chemistry

10th grade SI units, prefixes and converting with unit analysis worksheet

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SI units, prefixes and converting with unit analysis

Grade 10 Science Worksheet

NameDate

Circle the best answer, or write your answer on the line.

A bus moves at 54 km/h. Using unit analysis, what is that speed in m/s, Bo?
A train moves at 108 km/h. Using unit analysis, what is that speed in m/s, Esme?
Read this first
Measurement card with a chain of conversion factors
72 km/h × (1000 m ÷ 1 km) × (1 h ÷ 3600 s) = 20 m/s. The km and the h cancel, leaving m/s.
3.
On the chain card, what cancels the km in 72 km/h, Jun?
- The m in 20 m/s
- The h in 1 h ÷ 3600 s
- The km in 1000 m ÷ 1 km
4.
On the chain card, why doesn't multiplying by 1000 m ÷ 1 km change the speed, Kira?
- The factor equals 1000
- Meters weigh less than km
- The factor equals 1
5.
On the chain card, which units are left after canceling, Luz?
- km/h
- m/s
- km·s
6.
Which factor turns 750 mL of milk into liters, Noah?
- 1000 mL ÷ 1 L
- 1 L ÷ 1000 mL
- 1 L ÷ 100 mL
7.
Which chain turns 2 hours into seconds, Pia?
- 2 h × (60 min ÷ 1 h) × (60 s ÷ 1 min)
- 2 h × (1 h ÷ 60 min) × (60 s ÷ 1 min)
- 2 h × (60 s ÷ 1 h)
8.
How is 5 μm written in meters, Ren?
- 5 × 10⁶ m
- 5 × 10⁻³ m
- 5 × 10⁻⁶ m
9.
Red light has a wavelength of 650 nm. What is that in meters, Tala?
- 6.5 × 10⁻⁹ m
- 6.5 × 10⁻⁷ m
- 6.5 × 10⁻⁴ m
10.
How many meters are in 3.2 km, Zee?
- 320 m
- 3200 m
- 0.0032 m

SI units, prefixes and converting with unit analysis. Every version has 10 questions, and the answer key prints on the second page.

I can name SI base units (m, kg, s, K, mol) and pick a sensible unit for a measurement.
I can use kilo-, centi-, milli-, micro- and nano- as powers of ten.
I can set up a chain of conversion factors so units cancel, such as km/h to m/s.
I can convert squared, cubed and compound units, such as cm² to m² and g/cm³ to kg/m³.

Standard: practices (no PE)

SI: The International System of Units, used by scientists everywhere

prefix: A word part that multiplies a unit by a power of ten

conversion factor: A fraction equal to 1, such as 1000 m ÷ 1 km

unit analysis: Converting by canceling units in a chain of factors

base unit: One of the seven SI units the others are built from

Your child divided. A milligram is smaller than a gram, so there are more of them: multiply by 1000.

Your child turned the factors upside down. Write each factor so the old unit cancels.

Your child used 100 for square units. 1 m² = 100 cm × 100 cm = 10,000 cm².

What is the most common mistake with si units, prefixes and converting with unit analysis?

Your child divided. A milligram is smaller than a gram, so there are more of them: multiply by 1000.

Are these 10th grade science worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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