Grade 10 Maths · Measurement · Paper 2

Surface Area and Volume Grade 10

Real Surface Area and Volume past paper questions and answers from 2017 to 2024, with each memo split into the ticks examiners give. Try one, mark yourself, and see exactly which skill cost you marks.

past paper questions: 20 past paper questions
skills: 4 skills
videos: 4 videos

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Question 7.1 · November 2024 · Paper 2 · Provincial · 2 marks

Given the rectangular prism below with Length =

8

m, Breadth =

3

m, and Height =

5

m.
Formulae given:

V = L . B . H

S A = 2 (L . B) + 2 (L . H) + 2 (H . B)

7.1 Calculate the surface area of the prism.(2)

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

Surface Area and Volume skills

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More Surface Area and Volume Grade 10 questions and answers

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4. Question 4.2.1 · March 2021 · Provincial · 3 marks
4.2 In the diagram below, square ACDE has an area of $256 c m^{2}$ and $A B = BC$ .
4.2.1 Determine the length of AC. (Let $A C = x$ )(3)
Show the memo (3 ticks)Memo
1. ✓
  Area of a square (S)Area of square $= A C \times A E$ and $A C = A E = x$
  1 mark · Calculate area or perimeter
2. ✓
  $x^{2} = 256$ $x^{2} = 256$ cm $^{2}$
  1 mark · Calculate area or perimeter
3. ✓
  Answer $x = 16$ cm
  1 mark · Calculate area or perimeter
5. Question 5.2 · March 2017 · Provincial · 2 marks
ABCD is a rectangle having sides $A B = 4 x - 5 y$ , $BC = 9 - 2 y$ , $C D = 14 x - 20$ and $D A = 5 x + y$ .
5.2 Calculate the area of rectangle ABCD.(2)
Show the memo (2 ticks)Memo
1. ✓
  Calculate lengths of sidesLength = $14 (3) - 20 = 22$
  Breadth = $9 - 2 (- 2) = 13$
  1 mark · Substitute into a formula
2. ✓
  Calculate areaArea = $22 \times 13 = 286$
  1 mark · Calculate area or perimeter
6. 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
7. 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)
Show the memo (2 ticks)Memo
1. ✓
  Conversion factor $1 km = 1000 m$ , so multiply by $1000$ .
  1 mark · Convert units of measurement
2. ✓
  Answer $3, 2 km = 3, 2 \times 1000 = 3200 m$
  1 mark · Convert units of measurement
8. 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
9. 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
10. Question WE17.14 · Siyavula Grade 8 Mathematics, 17 Surface area and volume of 3D objects, Converting between different units, Worked example 17.14 · 2 marks
WE17.14 Convert $560 cm^{3}$ to litres.(2)
Show the memo (2 ticks)Memo
1. ✓
  Volume to capacity $1 cm^{3} = 1 ml$ , so $560 cm^{3} = 560 ml$ .
  1 mark · Convert units of measurement
2. ✓
  Answer $1000 ml = 1 litre$
  $560 cm^{3} = 560 \div 1000 = 0, 56 litres$
  1 mark · Convert units of measurement

Surface Area and Volume Grade 10 videos

Short lessons from South African teachers first. Videos load only when you tap play, to save your data.

Area and Perimeter Grade 9: Square, rhombus, parallelogram, rectangleKevinmathscience

Distance Conversions Maths LitKevinmathscience

Surface Area and Volume: CylinderKevinmathscience

Surface Area and Volume: CubeKevinmathscience

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