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Grade 10 · Measurement
Measurement: Surface Area, Volume & Scaling (Grade 10)
EXAM-STYLE CLASS TEST
Marks
33
Duration
50 minutes
Questions
3
Name:
Class:
Date:
Mark
/ 33
Instructions and Information
- Answer ALL the questions in this question paper.
- Answer QUESTION 1 by circling the letter (A–D) in the answer grid at the end of that section.
- Show ALL calculations clearly.
- Show all units where applicable.
- Number the answers correctly according to the numbering system used in this question paper.
- A non-programmable calculator may be used, unless stated otherwise.
- Write neatly and legibly.
Question 1
[10 MARKS]Four options are given as possible answers to the following questions. Choose the correct answer and circle the letter (A–D) in the grid at the end of this section. If you want to change your choice, put a cross through the wrong letter and circle your new choice.
- 1.1A cylinder has radius 5 cm and height 10 cm. Its VOLUME is …(1)A)785,40 cm³B)157,08 cm³C)314,16 cm³D)1 570,80 cm³
- 1.2A sphere has radius 6 cm. Its VOLUME is …(1)A)904,78 cm³B)452,39 cm³C)678,58 cm³D)150,80 cm³
- 1.3A cone has radius 3 cm and perpendicular height 8 cm. Its VOLUME is …(1)A)75,40 cm³B)226,19 cm³C)25,13 cm³D)150,80 cm³
- 1.4A closed cylinder has radius 4 cm and height 10 cm. Its TOTAL SURFACE AREA is …(1)A)351,86 cm²B)251,33 cm²C)301,59 cm²D)100,53 cm²
- 1.5If every dimension of a solid is multiplied by 3, its VOLUME is multiplied by …(1)A)27B)3C)9D)6
- 1.6If every dimension of a solid is HALVED, its SURFACE AREA is multiplied by …(1)A)14B)12C)18D)4
- 1.7A rectangular prism measures 10 cm by 6 cm by 4 cm. Its VOLUME is …(1)A)240 cm³B)20 cm³C)248 cm²D)60 cm³
- 1.8A cube has volume 125 cm³. Its TOTAL SURFACE AREA is …(1)A)150 cm²B)25 cm²C)750 cm²D)30 cm²
- 1.9A cylindrical tank has radius 0,5 m and height 2 m. Its capacity is …(1)A)1 570,80 litresB)1,57 litresC)15,71 litresD)157,08 litres
- 1.10A square pyramid has base side 6 cm and perpendicular height 10 cm. Its VOLUME is …(1)A)120 cm³B)360 cm³C)60 cm³D)20 cm³
Answer grid — circle your answers for Question 1
| 1.1 | A | B | C | D |
| 1.2 | A | B | C | D |
| 1.3 | A | B | C | D |
| 1.4 | A | B | C | D |
| 1.5 | A | B | C | D |
| 1.6 | A | B | C | D |
| 1.7 | A | B | C | D |
| 1.8 | A | B | C | D |
| 1.9 | A | B | C | D |
| 1.10 | A | B | C | D |
Question 2
[10 MARKS]A cylindrical water tank has a radius of 5 m and a height of 12 m. Use π ≈ 3,14 and round off to TWO decimal places where necessary.
- 2.1Calculate the volume of the tank.(3)
- 2.2Calculate the total surface area of the tank.(4)
- 2.31 m3 holds 1 000 litres. Determine the capacity of the tank in litres.(3)
Question 3
[13 MARKS]The diagram below shows a cone with a base radius of 3 cm and a perpendicular height of 4 cm, and a sphere with a radius of 6 cm. Use π ≈ 3,14, Vcone = 13πr2h, Vsphere = 43πr3 and SAsphere = 4πr2.
- 3.1Calculate the volume of the cone.(3)
- 3.2Calculate the volume and the surface area of the sphere.(4)
- 3.3ALL the dimensions of the cone are doubled. Determine by what factor its volume increases, and justify your answer.(4)
- 3.4Explain why doubling the dimensions multiplies the SURFACE AREA by only 4.(2)
TOTAL: 33 marks
This question paper consists of 3 questions.