Grade 10 Maths · Measurement

Convert units of measurement

Change a measurement into another unit using the right factor (for example 2,5 m = 250 cm, 1 m² = 10 000 cm², and 1 cm³ = 1 ml).

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Question WE16.1 · Siyavula Grade 8 Mathematics, 16 Area and perimeter of 2D shapes, Units of length, Worked example 16.1 · 2 marks

WE16.1 Convert

3, 2 km

to metres.(2)

Work it out on paper first. Then mark yourself with the official memo, one tick at a time.

More past paper questions: convert units of measurement

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3. Question WE17.12 · Siyavula Grade 8 Mathematics, 17 Surface area and volume of 3D objects, Converting between different units, Worked example 17.12 · 2 marks
WE17.12 Convert $8259 mm^{3}$ to cubic centimetres.(2)
Show the memo (2 ticks)Memo
1. ✓
  Conversion factor $1 cm = 10 mm$ , so $1 cm^{3} = 1 0^{3} mm^{3} = 1000 mm^{3}$ : divide by $1 0^{3}$ .
  1 mark · Convert units of measurement
2. ✓
  Answer $8259 mm^{3} = 8259 \div 1000 = 8, 259 cm^{3}$
  1 mark · Convert units of measurement
4. Question WE16.5 · Siyavula Grade 8 Mathematics, 16 Area and perimeter of 2D shapes, Units of length, Worked example 16.5 · 2 marks
WE16.5 Convert $1, 06 m^{2}$ to square centimetres.(2)
Show the memo (2 ticks)Memo
1. ✓
  Conversion factor $1 m = 100 cm$ , so $1 m^{2} = 10 0^{2} cm^{2}$ : multiply by $10 0^{2}$ .
  1 mark · Convert units of measurement
2. ✓
  Answer $1, 06 m^{2} = 1, 06 \times 10 0^{2} = 10600 cm^{2}$
  1 mark · Convert units of measurement
5. Question WE3 · Siyavula Grade 10 Mathematics, 9.2 Simple interest, Worked example 3 · 4 marks
WE3 Prashant deposits R30 000 into a bank account that pays a simple interest rate of $7, 5%$ p.a. How many years must he invest for to generate R45 000?(4)
Show the memo (4 ticks)Memo
1. ✓
  FormulaKnown values: $A = 45000$ ; $P = 30000$ ; $i = 0, 075$
  $A = P (1 + in)$
  1 mark · Use the simple interest formula
2. ✓
  Substitution $45000 = 30000 (1 + 0, 075 \times n)$
  1 mark · Use the simple interest formula
3. ✓
  Value of n $\frac{45 000}{30 000} = 1 + 0, 075 \times n$
  $\frac{45 000}{30 000} - 1 = 0, 075 \times n$
  $\frac{( \frac{45 000}{30 000} ) - 1}{0 , 075} = n$
  $n = 6 \frac{2}{3}$
  1 mark · Use the simple interest formula
4. ✓
  Answer in years and months $\frac{2}{3}$ of a year $= \frac{2}{3} \times 12 = 8$ months
  It will take $6$ years and $8$ months to make R45 000 from R30 000 at a simple interest rate of $7, 5%$ p.a.
  1 mark · Convert units of measurement

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