# Civil Technology Grade 12 NSC November 2017 QP (Eng) > Grade 12 Civil Technology question paper from the NSC November Exam 2017 (English), 32 pages. Read online or download the free PDF. - Page: https://www.hlayiso.com/library/civil-technology-nov-2017-eng/3bf1e781-deea-4626-883d-f87f96194cca - Updated: 2026-09-27 - Subject: Civil Technology - Grade: Grade 12 - Document type: Question paper - Year: 2017 - Exam period: NSC November Exam - Curriculum: CAPS - Pages: 32 Breadcrumbs: [Home](https://www.hlayiso.com/) › [Library](https://www.hlayiso.com/library) › [Grade 12](https://www.hlayiso.com/library/grade-12) › [Civil Technology](https://www.hlayiso.com/library/grade-12/civil-technology) › [Civil Technology Grade 12 NSC November 2017 QP (Eng)](https://www.hlayiso.com/library/civil-technology-nov-2017-eng/3bf1e781-deea-4626-883d-f87f96194cca) ## About this document Civil Technology · Grade 12 · NSC November Exam · 2017. Question paper, 32 pages. Read online or download the PDF. Read it free online on the page above; download the PDF from there. ## Document text Text extracted from the PDF. Layout, diagrams and tables may not survive extraction. ### Page 1 Downloaded from hlayiso.com GRAAD 12 NATIONAL SENIOR CERTIFICATE GRADE 12 CIVIL TECHNOLOGY NOVEMBER 2017 MARKS: 200 TIME: 3 hours This question paper consists of 21 pages, 10 answer sheets and a formula sheet. Copyright reserved Please turn over ### Page 2 Downloaded from hlayiso.com Civil Technology 2 DBE/November 2017 NSC REQUIREMENTS: 1. Drawing instruments 2. A non-programmable pocket calculator 3. ANSWER BOOK INSTRUCTIONS AND INFORMATION 1. This question paper consists of SIX questions. 2. Answer ALL the questions. 3. Answer each question as a whole. Do NOT separate subsections of questions. 4. Start the answer to EACH question on a NEW page. 5. Do NOT write in the margins of the ANSWER BOOK. 6. You may use sketches to illustrate your answers. 7. Write ALL calculations and answers in the ANSWER BOOK or on the attached ANSWER SHEETS. 8. Use the mark allocation as a guide to the length of your answers. 9. Make drawings and sketches in pencil, fully dimensioned and neatly finished off with descriptive titles and notes to conform to the SANS/SABS Code of Practice for Building Drawings. 10. For the purpose of this question paper, the size of a brick should be taken as 220 mm x 110 mm x 75 mm. 11. Use your own discretion where dimensions and/or details have been omitted. 12. Answer QUESTIONS 1.7, 2.7, 2.11, 3.6, 3.7, 4.6, 5.2, 5.3, 6.1 and 6.2 on the attached ANSWER SHEETS using drawing instruments, where necessary. 13. Write your CENTRE NUMBER and EXAMINATION NUMBER on every ANSWER SHEET and hand them in with your ANSWER BOOK, whether you have used them or not. 14. Due to electronic transfer, drawings in the question paper are NOT to scale. 15. Google Images was used as the source for all photographs and pictures. Copyright reserved Please turn over ### Page 3 Downloaded from hlayiso.com Civil Technology 3 DBE/November 2017 NSC QUESTION 1: CONSTRUCTION, SAFETY AND MATERIALS 1.1 FIGURE 1.1 below is an illustration of a worker on a building site. Describe TWO safety precautions that the worker should follow to prevent what is happening in the illustration. FIGURE 1.1 (2) 1.2 Explain why electric cables and the wires of power tools must be checked regularly. (1) 1.3 Give ONE reason why it is NOT safe to adjust a machine while the blade is in motion (turning). (1) 1.4 Name THREE accessories (equipment) that you need to conduct a slump test. (3) 1.5 Mixing concrete for small projects is usually done by hand. Recommend ONE method of mixing concrete for bigger projects. (1) Copyright reserved Please turn over ### Page 4 Downloaded from hlayiso.com Civil Technology 4 DBE/November 2017 NSC 1.6 Choose a description from COLUMN B that matches an item in COLUMN A. Write only the letter (A–M) next to the question number (1.6.1–1.6.10) in the ANSWER BOOK, for example 1.6.11 N. COLUMN A COLUMN B 1.6.1 Plywood A finishing applied to wood to make it durable 1.6.2 Hardboard B used to make formwork 1.6.3 Corrugated iron sheeting C used to line formwork 1.6.4 Mild steel D roof covering 1.6.5 PVC (polyvinyl chloride) E metal dipped in molten tin 1.6.6 Gypsum board F ferrous metal that corrodes easily 1.6.7 Concrete G used for making electrical conduits 1.6.8 DPC (damp-proof course) H applied with a spray gun as a 1.6.9 Powder coating free-flowing dry powder 1.6.10 Varnish I prevents moisture from moving upwards on walls J used for dry walls and ceilings K mixture of cement, crushed stone and water L can be cast into any shape when wet M malleable and ductile (10 x 1) (10) 1.7 FIGURE 1.7 on ANSWER SHEET 1.7 shows a drawing of a plan course of a corner (quoin) of a one-brick wall built in English bond. 1.7.1 Draw from the given plan course the next plan course of the corner. (4) 1.7.2 Print the title below the drawing. (1) 1.7.3 Describe the purpose of a queen closer in an English bond wall. (1) 1.8 Draw a line diagram of a lean-to roof in your ANSWER BOOK. Show the supporting walls and the roof. (2) Copyright reserved Please turn over ### Page 5 Downloaded from hlayiso.com Civil Technology 5 DBE/November 2017 NSC 1.9 Ceilings should be finished off to preserve them. 1.9.1 Describe ONE type of equipment that can be used to apply paint to a ceiling. (1) 1.9.2 Give ONE reason for your answer to QUESTION 1.9.1. (1) 1.10 Name the components (materials) used to close the gap/opening between the following: 1.10.1 Floor covering and the wall (1) 1.10.2 Wall and the ceiling of a building (1) [30] Copyright reserved Please turn over ### Page 6 Downloaded from hlayiso.com Civil Technology 6 DBE/November 2017 NSC QUESTION 2: ADVANCED CONSTRUCTION AND EQUIPMENT Start this question on a NEW page. 2.1 Various options are given as possible answers to the following questions. Choose the answer and write only the letter (A–D) next to the question number (2.1.1–2.1.5) in the ANSWER BOOK, for example 2.1.6 C. 2.1.1 … foundation is used when the soil cannot support ordinary foundations. A Strip B Step C Floating D Pile (1) 2.1.2 During transportation of ready-mixed concrete, … can take place. A desalination B segregation C curing D shrinking (1) 2.1.3 … arches should be plastered. A Gauged B Rough C Voussoir D Intrados (1) 2.1.4 … is used to prevent concrete from clinging to formwork. A Water B Sanding sealer C Thinners D Oil (1) 2.1.5 … are used to keep the main bars of the reinforcement of a column together. A Spacers B Shear bars C Stirrups D Wall ties (1) Copyright reserved Please turn over ### Page 7 Downloaded from hlayiso.com Civil Technology 7 DBE/November 2017 NSC 2.2 FIGURE 2.2 below is a photograph of an instrument used for surveying. FIGURE 2.2 2.2.1 Identify the instrument in FIGURE 2.2 above. (1) 2.2.2 Describe ONE function of this instrument. (1) 2.2.3 Name the part on which this instrument must be mounted. (1) 2.2.4 Name the accessory that is used with the instrument to get a reading. (1) 2.2.5 Describe why the instrument should be stored in its original casing after being used. (1) 2.3 FIGURE 2.3 below is an illustration of a precast floor slab. Study the illustration and answer the questions that follow. A FIGURE 2.3 B C FIGURE 2.3 2.3.1 Name the type of floor construction that is illustrated in FIGURE 2.3 above. (1) 2.3.2 Identify A, B and C. (3) 2.3.3 Give ONE reason why you would rather use the type of floor construction in FIGURE 2.3, than an in situ cast suspended floor. (1) Copyright reserved Please turn over ### Page 8 Downloaded from hlayiso.com Civil Technology 8 DBE/November 2017 NSC 2.4 FIGURE 2.4 below shows a sectional view of a cavity wall. A B FIGURE 2.4 2.4.1 Identify A and B. (2) 2.4.2 Name ONE other place in a building where you would find material B. (1) 2.4.3 State ONE advantage of a cavity wall. (1) 2.5 Explain the terms intrados and extrados, as used in arches. (2) 2.6 FIGURE 2.6 below shows equipment used to test concrete. FIGURE 2.6 2.6.1 Identify the equipment shown in FIGURE 2.6 above. (1) 2.6.2 Name ONE other piece of equipment that must be used with this equipment when conducting the concrete test. (1) 2.6.3 Name the type of test conducted with this equipment. (1) 2.6.4 Explain the purpose of this test. (1) Copyright reserved Please turn over ### Page 9 Downloaded from hlayiso.com Civil Technology 9 DBE/November 2017 NSC 2.7 FIGURE 2.7 on ANSWER SHEET 2.7 is a sketch of a simple supported beam with a main bar and an anchor bar attached to a column with reinforcement in position. Complete the sketch on ANSWER SHEET 2.7 by drawing the following steel reinforcement in place: • Shear bar • Stirrups/Binders in the rest of the beam (2) 2.8 FIGURE 2.8 below shows two types of reinforcing bars that can be used for reinforcing concrete. Study the figure and name EACH of the reinforcing bars. Write down the answer next to the question number (2.8.1–2.8.2) in the ANSWER BOOK. 2.8.1 2.8.2 FIGURE 2.8 (2) 2.9 FIGURE 2.9 below shows the formwork of a square column. Study the figure and answer the questions that follow. A B C D E FIGURE 2.9 2.9.1 Name ONE material that A can be made of. (1) 2.9.2 Identify B to E. (4) 2.9.3 Predict what will happen if E is not installed. (1) Copyright reserved Please turn over ### Page 10 Downloaded from hlayiso.com Civil Technology 10 DBE/November 2017 NSC 2.10 State ONE disadvantage of a dry wall. (1) 2.11 FIGURE 2.11 on ANSWER SHEET 2.11 shows a part of a dry-wall construction with a timber frame. Complete the drawing on ANSWER SHEET 2.11 by adding the following in good proportion: • Cladding • The moulding at the ceiling and the wall • The moulding at the floor and the wall (3) 2.12 Name ONE type of pile foundation. (1) [40] Copyright reserved Please turn over ### Page 11 Downloaded from hlayiso.com Civil Technology 11 DBE/November 2017 NSC QUESTION 3: CIVIL SERVICES Start this question on a NEW page. 3.1 FIGURE 3.1 below shows a water trap that is used in civil services. FIGURE 3.1 3.1.1 Identify the water trap above. (1) 3.1.2 Explain the purpose of a water trap. (1) 3.2 State TWO factors that determine the temperature of the water in a solar heater. (2) 3.3 You are a plumber and must answer the following questions from a client: 3.3.1 Name the part in an electric geyser that is used to warm up water. (1) 3.3.2 Explain why the cold water inlet is mounted at the bottom of the geyser and the hot water outlet is mounted at the top of the geyser. (2) 3.3.3 Name the component that is installed for safety purposes to prevent the geyser from bursting when the water becomes too hot. (1) 3.4 FIGURE 3.4 below is a photograph of a storm-water grid on a road. Study the photograph and answer the questions that follow. FIGURE 3.4 3.4.1 Explain the function of the grid. (1) 3.4.2 State ONE consequence if the grid is blocked. (1) Copyright reserved Please turn over ### Page 12 Downloaded from hlayiso.com Civil Technology 12 DBE/November 2017 NSC 3.5 Water supply is a basic necessity of life. Owing to a lack of municipal services, an increasing number of people are investing in borehole systems. Name TWO mechanical methods that may be used to obtain water from a borehole. (2) 3.6 FIGURE 3.6 on ANSWER SHEET 3.6 shows an incomplete floor plan of a kitchen. Complete the drawing on ANSWER SHEET 3.6 by drawing the symbols for the following electrical fittings and wiring: 3.6.1 Fluorescent light at A (2) 3.6.2 Distribution board at B (2) 3.6.3 Double-pole one-way light switch at C (2) 3.6.4 Electrical wiring from C to A (2) 3.7 FIGURE 3.7 on ANSWER SHEET 3.7 shows the incomplete layout of a one-pipe sewerage system connected to a conservancy tank. Sanitary fixtures have been indicated with symbols. Study the drawing and draw the following on ANSWER SHEET 3.7 with the correct symbols. All regulations and design principles of a good sewerage system must be adhered to. • 1 x rodding eye • 1 x gully • 1 x ventilation pipe • 2 x branch pipes • 2 x inspection eyes • Any THREE abbreviations for sewerage components (10) [30] Copyright reserved Please turn over ### Page 13 Downloaded from hlayiso.com Civil Technology 13 DBE/November 2017 NSC QUESTION 4: QUANTITIES, MATERIALS AND JOINING Start this question on a NEW page. 4.1 Below are photographs of fasteners that are used on building sites. Write down the name and ONE use of EACH fastener next to the question number (4.1.1–4.1.3) in the ANSWER BOOK. 4.1.1 4.1.2 4.1.3 (6) 4.2 Name ONE fastener that you will use when joining purlins to rafters. (1) 4.3 State TWO advantages of nails over screws. (2) 4.4 Name ONE pipe that can be joined by means of a compression joint. (1) 4.5 FIGURE 4.5 on the next page shows the brandering layout of a ceiling construction and the four walls. Study the drawing and complete the incomplete cutting list. Write down the answer next to the question number (4.5.1–4.5.7) in the ANSWER BOOK. Use the following specifications to answer the question: • Ceiling board: 6,4 mm x 900 mm x 3 600 mm • Brandering: 38 mm x 38 mm • Brandering is placed 75 mm away from each wall • Cornices: 75 mm x 75 mm • Wooden cover strips: 45 mm x 10 mm (7) Copyright reserved Please turn over ### Page 14 Downloaded from hlayiso.com Civil Technology 14 DBE/November 2017 NSC 3 600 4 800 FIGURE 4.5 CUTTING LIST FOR CEILING MEMBER QUANTITY UNIT LENGTH WIDTH THICKNESS TOTAL MATERIAL LENGTH Long-wall brandering/ 2 mm 4 800 38 4.5.1 9 600 SA pine Battens Intermediate brandering/ 4.5.2 mm 4 574 38 38 13 722 SA pine Battens Short-wall brandering/ 2 mm 4.5.3 38 38 6 748 SA pine Battens Ceiling Gypsum 6 mm 4.5.4 900 6,4 21 600 boards board Cornices: Gypsum 2 mm 4 800 75 75 4.5.5 Long wall board Cornices: Gypsum 2 mm 4.5.6 75 75 7 200 Short wall board Wooden 5 mm 3 450 45 10 4.5.7 SA pine cover strips Copyright reserved Please turn over ### Page 15 Downloaded from hlayiso.com Civil Technology 15 DBE/November 2017 NSC 4.6 FIGURE 4.6 below shows the floor plan of a room. You must install ceiling boards and skirtings in this room. SPECIFICATIONS: • Outside measurements of the room: 7 000 mm x 4 000 mm • The external walls are one-brick walls (220 mm) • Size of sliding door: 3 000 mm wide x 2 000 mm high • Size of ceiling boards: 4 200 mm x 1 200 mm 7 000 4 000 FIGURE 4.6 Use ANSWER SHEET 4.6 and answer the following questions: 4.6.1 Calculate the inside area of the room in square metres (m²). Round off your answer to TWO decimal places. (6) 4.6.2 Calculate the area of ONE ceiling board in square metres (m²). (3) 4.6.3 Calculate the length of the skirting required in metres (m). Ignore the reveals. (4) [30] Copyright reserved Please turn over ### Page 16 Downloaded from hlayiso.com Civil Technology 16 DBE/November 2017 NSC QUESTION 5: APPLIED MECHANICS Start this question on a NEW page. 5.1 FIGURE 5.1 below shows a shaped lamina. All dimensions are in millimetres. Study the lamina and calculate the centroid of the lamina from A-A. Round off your answer to TWO decimal places. HINT: Use the formula on the FORMULA SHEET. 15 30 15 A 45 2 60 1 A 60 FIGURE 5.1 (10) Copyright reserved Please turn over ### Page 17 Downloaded from hlayiso.com Civil Technology 17 DBE/November 2017 NSC 5.2 FIGURE 5.2 shows the space diagram of a truss with two point loads and a span of 10 metres. 40 N B 60 N C F G A E 45° 45° 45° D 10 m RL = 65 N RR = 35 N FIGURE 5.2 5.2.1 Use ANSWER SHEET 5.2 and develop and draw a vector diagram to determine the nature and magnitude of the forces in the members (parts) of the truss graphically. Use scale 1 mm = 1 N. (8) 5.2.2 Use the information in the space diagram and vector diagram and complete the table on ANSWER SHEET 5.2. (4) 5.3 FIGURE 5.3 below shows the space diagram of a beam with a span of 12 metres, with three point loads and a uniformly distributed load. Study the diagram and answer the questions that follow. 5N 5 N/m 7N 4N 2m 4m 3m 3m A B C D E F RL = 22 N RR = 14 N FIGURE 5.3 5.3.1 Convert the uniformly distributed load to a point load and write down the value of the converted point load. (1) 5.3.2 Determine the distance of the converted uniformly distributed load that now is a point load from RR. (1) Copyright reserved Please turn over ### Page 18 Downloaded from hlayiso.com Civil Technology 18 DBE/November 2017 NSC 5.3.3 Determine the distance of the converted uniformly distributed load that now is a point load from RL. (1) 5.3.4 The value of the bending moments at A = 0 Nm, B = 44 Nm, C = 68 Nm, D = 72 Nm, E = 42 Nm and F = 0 Nm. Use all the available information and draw the bending moment diagram on ANSWER SHEET 5.3. Use scale 1 mm = 1 Nm. (5) [30] Copyright reserved Please turn over ### Page 19 Downloaded from hlayiso.com Civil Technology 19 DBE/November 2017 NSC QUESTION 6: GRAPHICS AND COMMUNICATION 6.1 FIGURE 6.1 below shows the south elevation of a proposed dwelling. Study the drawing and complete the table on ANSWER SHEET 6.1. 1 2 3 4 7 6 Scale 1 : 100 5 South elevation FIGURE 6.1 (15) Copyright reserved Please turn over ### Page 20 Downloaded from hlayiso.com Civil Technology 20 DBE/November 2017 NSC 6.2 FIGURE 6.2 below shows the floor plan of a one-bedroom house. 3 000 2 000 3 500 220 110 110 220 220 2 000 110 2 000 B B 220 FIGURE 6.2 On ANSWER SHEET 6.2, draw to scale 1 : 20 a vertical sectional view on section line B–B to show the top part of the superstructure wall and a little more than half of the SA (Howe) roof truss with closed eaves and an overhang of 500 mm. Start your drawing from the point given on the answer sheet. SPECIFICATIONS: • Wall: 220 mm, plastered on both sides • Plaster: 20 mm thick • Wall plate: 114 mm x 38 mm • Span of roof: 4 110 mm • SA (Howe) roof truss with closed eaves • Slope of roof: 30° • Tie beam: 114 mm x 38 mm • Rafters: 114 mm x 38 mm • King post: 114 mm x 38 mm • Queen post: 114 mm x 38 mm • Strut: 114 mm x 38 mm • Fascia board: 228 mm x 32 mm Copyright reserved Please turn over ### Page 21 Downloaded from hlayiso.com Civil Technology 21 DBE/November 2017 NSC Closed eaves: • Hangers: 38 mm x 38 mm • Bearers: 38 mm x 38 mm • Fibre-cement ceiling boards/Soffit boards Print the title below the drawing. Show any THREE labels on the drawing. (25) [40] TOTAL: 200 Copyright reserved ### Page 22 Downloaded from hlayiso.com Civil Technology DBE/November 2017 NSC CENTRE NUMBER: EXAMINATION NUMBER: ANSWER SHEET 1.7 FIGURE 1.7 ASSESSMENT MARK CANDIDATE'S CRITERIA MARK Stretcher course 1 Corner brick 1 Queen closer 1 Header course 1 TOTAL 4 Copyright reserved ### Page 23 Downloaded from hlayiso.com Civil Technology DBE/November 2017 NSC CENTRE NUMBER: EXAMINATION NUMBER: ANSWER SHEET 2.7 FIGURE 2.7 ASSESSMENT MARK CANDIDATE'S CRITERIA MARK Shear bar drawn correctly 1 Stirrups drawn correctly 1 TOTAL 2 Copyright reserved ### Page 24 Downloaded from hlayiso.com Civil Technology DBE/November 2017 NSC CENTRE NUMBER: EXAMINATION NUMBER: ANSWER SHEET 2.11 FIGURE 2.11 ASSESSMENT MARK CANDIDATE'S CRITERIA MARK Cladding drawn correctly 1 Moulding at ceiling and wall drawn correctly 1 Moulding at floor and wall drawn correctly 1 TOTAL 3 Copyright reserved ### Page 25 Downloaded from hlayiso.com Civil Technology DBE/November 2017 NSC CENTRE NUMBER: EXAMINATION NUMBER: ANSWER SHEET 3.6 C FRIDGE A B FIGURE 3.6 ASSESSMENT MARK CANDIDATE'S CRITERIA MARK Fluorescent light 2 Distribution board 2 Double-pole light 2 switch (one-way) Electrical wiring 2 TOTAL 8 Copyright reserved ### Page 26 Downloaded from hlayiso.com Civil Technology DBE/November 2017 NSC CENTRE NUMBER: EXAMINATION NUMBER: ANSWER SHEET 3.7 MH CONSERVANCY TANK FIGURE 3.7 ASSESSMENT MARK CANDIDATE'S CRITERIA MARK Rodding eye 1 Gully 1 Ventilation pipe 1 Branch pipes 45° 2 Inspection eyes 2 Any THREE abbreviations 3 TOTAL 10 Copyright reserved ### Page 27 Downloaded from hlayiso.com Civil Technology DBE/November 2017 NSC CENTRE NUMBER: EXAMINATION NUMBER: ANSWER SHEET 4.6 Complete your answers in the spaces indicated with _____________. A B C D Inside measurements of room: Long walls = ______ – 2/_____ = ______ Short walls = ______ – 2/_____ = ______ (4) 1/ _____ Inside area of room: _____ _____ m² (2) Area of one ceiling board: 1/ _____ One board is ______ mm x ______ mm _____ _____ m² (3) Length of skirting: = = = (4) Copyright reserved ### Page 28 Downloaded from hlayiso.com Civil Technology DBE/November 2017 NSC CENTRE NUMBER: EXAMINATION NUMBER: ANSWER SHEET 5.2 40 N B 60 N C F G A E 45° 45° 45° D 10 m RL = 65 N RR = 35 N a (8) MEMBER NATURE MAGNITUDE AE DG Tolerance of 1 N to either side (4) Copyright reserved ### Page 29 Downloaded from hlayiso.com Civil Technology DBE/November 2017 NSC CENTRE NUMBER: EXAMINATION NUMBER: ANSWER SHEET 5.3 5N 5 N/m 7N 4N 2m 4m 3m 3m A B C D E F RL = 22 N RR = 14 N A B C D E F Copyright reserved ### Page 30 Downloaded from hlayiso.com Civil Technology DBE/November 2017 NSC CENTRE NUMBER: EXAMINATION NUMBER: ANSWER SHEET 6.1 NO. QUESTIONS ANSWERS MARKS 1 What is the title of the drawing? 1 2 Identify number 1. 1 3 Identify number 2. 1 4 Identify number 3. 1 5 Identify number 4. 1 6 Identify number 5. 1 7 Identify number 6. 1 8 Identify number 7. 1 Name the type of roof on the eastern 9 1 side of the house. Name the type of roof on the western 10 1 side of the house. Name the material that can be used 11 1 for the fascia board. On how many sides of the building 12 1 will you find fascia boards? Draw the top view (roofline) of the 13 roof for the elevation indicated in 3 FIGURE 6.1. TOTAL 15 Copyright reserved ### Page 31 Civil Technology Downloaded from hlayiso.com DBE/November 2017 NSC ASSESSMENT CRITERIA MARKS LM CENTRE NUMBER: Correctness of drawing 3 EXAMINATION NUMBER: External wall 1 ANSWER SHEET 6.2 Symbol for wall 1 Plaster 2 Wall plate 1 Tie beam 1 Rafters 2 Strut 1 Queen post 1 King post 1 Fascia board 1 Hanger 1 Bearer 1 Fibre-cement ceiling board 1 Any THREE labels 3 Print title 1 Application of scale One or two incorrect = 3 Three or four incorrect = 2 More than five incorrect = 1 No measurement correct = 0 3 TOTAL 25 A Copyright reserved ### Page 32 Downloaded from hlayiso.com Civil Technology DBE/November 2017 NSC FORMULA SHEET IMPORTANT ABBREVIATIONS SYMBOL DESCRIPTION SYMBOL DESCRIPTION SYMBOL DESCRIPTION c Centroid b Breadth/Width r Radius ℓ Length s Side A Area FORMULAE AREA OF FORMULA FORMULA FORMULA FOR THE (in words) (in symbols) POSITION OF CENTROIDS X-axis Y-axis s s Square side x side sxs 2 2 ℓ b Rectangle length x breadth ℓxb 2 2 Right-angled b h ½ x base x height ½b x h triangle 3 3 Equilateral triangle/ b h ½ x base x height ½b x h Isosceles 2 3 triangle (A1× d) ± (A2 × d) Position of centroid = Total area OR Y= ∑ Ay ∑A OR X= ∑ Ax ∑A Copyright reserved ## Related documents - [Civil Technology Nov 2017 Afr](https://www.hlayiso.com/library/civil-technology-nov-2017-afr/59a80aae-d41e-40e8-bcbc-0c068d0e5fb6) — Civil Technology · QP · 2017 · Afr - [CIVIL TECH GR12 QP SEPT2017 Afrikaans](https://www.hlayiso.com/library/civil-tech-gr12-qp-sept2017-afrikaans/34ee00b4-5e69-4625-8608-29bedd7c351e) — Civil Technology · QP · 2017 · Afr - [Civil Technology Feb March 2017 Afr](https://www.hlayiso.com/library/civil-technology-feb-march-2017-afr/7edd3752-0a76-447c-9045-6774cbc6d9ac) — Civil Technology · QP · 2017 · Afr - [Civil Technology Feb March 2017 Eng](https://www.hlayiso.com/library/civil-technology-feb-march-2017-eng/f64054c6-cf10-48ae-b3d8-ab4a4f6d275a) — Civil Technology · QP · 2017 · Eng - [Civil Technology Nov 2023 (Construction) Eng](https://www.hlayiso.com/library/civil-technology-nov-2023-construction-eng/e6743728-8140-42ae-838d-282654a975a5) — Civil Technology · QP · 2023 · Eng - [Civil Technology Nov 2023 (Civil Services) Afr](https://www.hlayiso.com/library/civil-technology-nov-2023-civil-services-afr/b820ac91-947c-4aed-821f-256aa13aabe1) — Civil Technology · QP · 2023 · Afr ## More from Grade 12 Civil Technology - [Civil Technology (Woodworking) (Afrikaans) June 2025 Possible Answers](https://www.hlayiso.com/library/civil-technology-woodworking-afrikaans-june-2025-possible-answers/c0a65d19-28ca-4ac3-8c61-d4627d2a3133) — Memo · 2025 · Afr - [Civil Technology Nov 2025 (Construction) MG Eng](https://www.hlayiso.com/library/grade-12-civil-technology-2025-nsc-november-exam-memorandum/0e265899-dc44-4809-aabf-8f374f1af392) — Memo · 2025 · Eng - [CIV TECH GR12 MEMO SEPT2024 Construction Afrikaans](https://www.hlayiso.com/library/civ-tech-gr12-memo-sept2024-construction-afrikaans/162bcc65-80ad-4384-b293-36da22468b06) — Memo · 2024 · Afr - [CIV TECH GR12 MEMO SEPT2024 Civil Services English](https://www.hlayiso.com/library/civ-tech-gr12-memo-sept2024-civil-services-english/c1f2441d-22ba-4ae6-9e56-137cc442080c) — Memo · 2024 · Eng - [CIV TECH GR12 MEMO SEPT2024 Construction English](https://www.hlayiso.com/library/civ-tech-gr12-memo-sept2024-construction-english/4d9c54ef-f526-46ad-82d4-8dd419eafb50) — Memo · 2024 · Eng - [CIV TECH GR12 MEMO SEPT2024 Woodworking English](https://www.hlayiso.com/library/civ-tech-gr12-memo-sept2024-woodworking-english/6e7f4be5-4ffb-4654-b98b-b4cc4dfc4cc7) — Memo · 2024 · Eng ## Collection - [Grade 12 past papers](https://www.hlayiso.com/grade-12/past-papers) --- Hlayiso: free CAPS and IEB past papers, memos, notes and study guides for South African learners. 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