Mathematics NCV Level 2 — Exam Paper P1
November 2020 — NCV Level 2 — Mathematics
NCV Level 2
2020
NCV Fundamentals
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Q1— Section header —
1.1Calculate the following without using a calculator. Show ALL your calculations.
1.1.2
1.2Convert 5 500 gram to kilogram (2\
1.3Mandla got for his Life Orientation test. What percentage did he achieve? Round off the answer to the nearest percentage. (3\
1.4Th e c ollege day starts at 08:00 and ends at 2.30 pm.
1.4.1Write 2.30 pm in 24 hour clock (digital time\ (1\
1.4.2What is the duration of the day at the c ollege? Show all working. (3\
1.5Read the following scenario and answer the question Liso wants to paint her room yellow . Red and green paint are mixed together in the ratio 1 : 4
1.5.1How many litres of green paint is needed if Liso has 5 litres of red paint? (2\
1.5.2How many litres of yellow paint will Liso have after she has mixed the litre red and the green paint together?
1.5.3A 5 litre tin of paint costs R255. Calculate the cost of the paint per litre. (3\
1.6Dino buys a bicycle that costs R3 550. He gets a 12% student discount on the cost price . How much will he pay for the bicycle? (3\
1.7Write the following numbers in descending order: 50 ; 25 ; 0 ; (2\
1.8
1.8.1How many marbles in the bag are red? (2\
1.8.2Ho w many marbles in the bag are yellow? (3\ [30] 1040101230
Q2— Section header —
2.1Below is a s ketch of the layout of the back yard of house. Study th e sketch below and answer the questions
2.1.1What is the shape of the deck? (1\
2.1.2Name the three dimensional shape of the swimming pool (1\
2.1.3Calc ulate side AC of the deck correct to 2 decimal places. Use the formula AC = (3\
2.1.4Calculate the area of the top of the garden table. Use the formula: Area of a circle where (4
2.1.5Calculate the volume of water in the swimming pool if the water is filled up to a depth of 1,5 m. Use the formula: Volume = length x breadth x depth
2.1.6Calculate the circumference of the flower bed Use the formula: Circumference where (2\ (10401012\
2.2Em ily is planning to visit her sister in America. Her sister lives in a city called Alexandria in the state of Louisiana. Study the grid map below and answer the questions Scale: 1 cm = 50 km [Source:
2.2.1The grid reference for Ruston is A2. What is the grid reference for Alexandria? (2\
2.2.2Wh ich city is in grid reference D3? (1\
2.2.3In which direction is Lake Charles from Alexandria? (2
2.2.4Write down the scale of the map?
2.2.5Emily's sister wants to take her to see the sights at Lake Charles. Calculate the actual distance in kilometres between the two cities if the distance on the map is 3,2 cm. (3\
2.2.6stimat which town is the closest to Ruston (1
2.3When a trailer is hitched behind a vehicle it is important to attach the plug from the trailer to the hitch of the vehicle. The plug from the trailer must be wired properly in order for the tail lights of
2.3.1How many wires have to be connected in the plug? (1\
2.3.2To which number in the plug should the stop l ights be connected? (1
2.3.3What is the colour of the wire from the rear fog lights (1
2.3.4Why is it impo rtant that the tail lights on the back of the trailer function properly? (2\ [30]30
Q3— Section header —
3.1Lerato is planning to go on a cultural tour with her college. The tour is planned for the next year. The tour will take place over a period of 5 days. The college provided the following information as a guideline on the cost of the tour:
3.1.1Calculate the amount in rand Lerato will need for food during the 5 days. (2\
3.1.2Calculate amount in rand Lerato will need for spending money during the 5 days. (2\
3.1.3Draw up a budget for Lerato so that she can see what her financial situation is with rega rd to the tour. Use the budget template provide on ADDENDUM A (attached\ to draw up the budget.
3.1.4Give Lerato ONE option of ho w she could increase her income, to allow her to afford the tour. (1\
3.2Study the financial document below and answer the questions
3.2.1What type of financial document is shown above? (1\
3.2.2Who was the cashier for this transaction? (1\
3.2.3The TOTAL R127,40 is VAT inclusive. Calculate A, the total e xcluding VAT (3\
3.2.4Calculate B, the VAT amount (2\
3.2.5Calculate C, the change due to t he customer (2\
3.3Danny West went to a branch of his bank on 25 June 2019. He deposited R1 400 cash into his savings account. His savings account number is 1652 1870.
3.3.1Use the information given above to complete the savings deposit slip provided on ADDENDUM A (attached\
3.3.2The bank charges Danny a fee for d epositing money at a branch. The formula used to calculate the deposit fee is: R8,07 + R1.82 per R100 or part thereof
Q4— Section header —
4.1Rambo will be celebrating his 16 th birth day soon. He wants to take three friends with him fo r a morning of Go Kart racing on his
4.1.1Calculate the values for A, B, C and D. Do not copy the table rite only your calculation next to the letter (A D\ in
4.1.2alculate the amount in R and hat Rambo must pay for him and his three friends to have one race.
4.1.3Calculate the cost in Rand per lap for Go Kart racing. (3
4.1.4How much would it cost Rambo for the morning of racing if he and his three friends were to participate in 5 races? (3
4.1.5Name the dependent and independent variable in the table. (2\
4.1.6Are the valu es in the table an example of direct or indirect proportion? Justify the answer. (3\
4.1.7Are the values for cost in Rand an example of a constant difference or a constant ratio pattern? (1\
4.1.8Use the values in the table to draw a line graph on the grid found in ADDENDUM B (attached\. Provide a suitable heading and labels for the graph. (8 [30]30
Q4— Section header —
5.1Th e speed limit in front of Mpondo Zankomo College entrance gate is 60 km/h. The SRC want speed humps to be built on the street to slow vehicles down. traffic officer was requested to record the speed
5.1.1Write down the two outliers in the data set (2\ 10401012
5.2college organised a games day to raise funds for a local old age home. The table below shows the amount of money each game and each stall raised. Study the table and answer the questions Coin t
5.2.1Complete the frequency table on ADDENDUM B (attached\ (7
5.2.2Which game made the most money? (1\
5.2.3Which game made the least money? (1\
5.2.4Ho w much money was raised altogether (2\ [30] TOTAL: 15030
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Q5— Section header —
Mathematical Content
1
f(x)
Topics Identified
5
CalculusGeometryTrigonometryAnalytical GeometryStatistics
Mark Allocation
Total150 marks
Sections30 + 30 + 30 + 30 + 30 = 150 marks
Key Information
Websitewww.socialstudieslouisiana.com
Paper information
TitleExam Paper
SubjectMathematics
LevelNCV Level 2
Document typeQuestion paper
Year2020
MonthNovember
Pages11
Downloads4
Examination context
Decade2020s
Years ago6y
SeasonSpring (SH)
Start daySunday
Exam periodNovember 2020
Days since exam2,168
About Mathematics examination preparation
TVET Mathematics at N-level combines algebra, trigonometry, geometry, and calculus. The examination tests both computational accuracy and the ability to apply mathematical methods to engineering and technical contexts.
How to use this resource for revision
A TVET past examination paper is most useful when it is treated as an active revision exercise. Try the questions yourself before checking the corresponding memorandum. Where you make an error, identify the reason — was it a knowledge gap, a calculation mistake, an interpretation issue, or an examination technique problem?
For stronger examination practice, complete the paper without unnecessary interruptions and keep track of the questions that take the most time. Afterwards, review the memorandum and separate knowledge gaps from mistakes caused by interpretation, calculation, structure, or examination technique.
algebraic manipulation
trigonometric problem solving
calculus techniques
geometric reasoning
applying maths to engineering contexts
A practical revision approach
Practice showing full working on every question — the marking memorandum allocates substantial method marks. For N4–N6 levels, focus on calculus and geometry as these carry the heaviest mark weightings.
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