Mathematics NCV Level 2 — Exam Paper
February 2018 — NCV Level 2 — Mathematics
NCV Level 2
2018
NCV Fundamentals
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Q1— Section header —
1.1Convert the following decimal fractions to the form where a; b Z and b 0. Express your answer in its simplest form
1.1.11,75 (1\
1.1.2(3\
1.2Simplify the following by using the laws of exponents leave answers with positive exponents and in surd form where applicable.
1.2.1(2\
1.2(2\
1.2(3\
1.3Simplify the following by using the surd laws he expansion of the surd and the
1.4Rationalise the denominator and write the answer in simplest form (3\
1.5Given : Make the subject of the formula. Write your answer in simplest form (3\
1.6Given Make the subject of the formula. ence solve for if
1.7.1 Write down the fi rst four terms of this sequence where each term represents the number of sticks in the pattern. (2\
1.7.2 Write down the general term for the sequence in terms of the value of and you have found
1.7.3 If the pattern continued en times , determine the total number of sticks used (
Q2— Section header —
2.1.2
2.2.2
2.2
2.3.1(2\
2.3.2(3\
2.3.3(3\
2.4Solve for and in the following simultane ous equations: (4\
2.5Given:
2.5.1Solve the inequality. (2\
2.5.2Represent the solution on a number line. (1\ [25]25
Q3— Section header —
3.1Use ADDENDUM A (attached\ to draw the graph of: Clearly show the intercepts with the axes as well as any asymptotes Detach and hand in the completed
3.2Given:
3.2.1Draw the graph of on AD DENDUM B (attached\ where 3 ; 3] and
3.2.2Write down the name of the graph of (1
3.2.3Determine the range of the graph of (2\
3.2.4How will a change in the sign of the coefficient of in effect the graph (1 10
3.3Determine the equation of the following exponential function in the form: (3\
3.4he sketch below shows two graphs: and .4.1 Determine the values for and
3.4.2Write down the domain fo (2
3.4.3Write down the range for (2
3.4.4Is continuous or discontinuous. Give a reason for your answer. (2 ybq (\ fxq
3.4.5Write down the equation( \ the asymptote( for (2
3.4.6At what value for is discontinuous? (1\ [25]25
Q4— Section header —
4.1Choose a description from COLUMN B that matches a word or words in COLUMN A. Write only the letter (A \nex
4.1.5in the ANSWER BOOK COLUMN A COLUMN B
4.1.5Mashonisa Medium term investment Retirement annuities Unit t rusts Hire
4.2The following is the budget statement for Mpho who is studying at TVET College. She rents a flat for 800 a m
4.2.1 Det ermine the values of A and B (2
4.2.2 Consider Mpho's financial position at the end of the month (a\ Will Mpho ha ve a surplus or deficit at the end of the month?
4.2.3 Mpho ha three incomes. Name the income that is a variable income (1
4.2.4 Which of her expenses had the b iggest impact on the state of her finances at the end of the month? (1\ 10501042
4.3Grace received a gift of R 000 from a rich re lative. She decides to invest the money at a bank for 4 years. She as the option of investing at two banks. BANK A: Offers 10% interest at simple interest for the period
4.3.1Calculate t he value of her investment if she chose BANK A. (2\
4.3.2Calculate the value of her investment if she chose BANK B (2\
4.3.3Calculate the difference in the two investments. (1\
4.3.4Which bank would you advise her to use? (1\
4.4James wants to study at Capricorn TVET. In 3 years' time he needs to accumulate R6 75 for his studies He insists on compound interest and has R5 000 to invest. What is the minimum interest that he must bargain for if he wants to study
3.1Detach A DDENDUM A and hand it in with the ANSWER BOOK (4\ 10501042
2.1Detach ADDENDUM B and hand it in with the ANSWER BOOK (2\
Multiple Choice Options
1A)Write only the letter (A
Topics Identified
5
AlgebraTrigonometryStatisticsFinancial MathsFunctions
Mark Allocation
Total100 marks
Sections30 + 25 + 25 + 20 = 100 marks
Paper information
TitleExam Paper
SubjectMathematics
LevelNCV Level 2
Document typeQuestion paper
Year2018
MonthFebruary
Pages12
Downloads4
Examination context
Decade2010s
Years ago8y
SeasonSummer (SH)
Start dayThursday
Exam periodFebruary 2018
Days since exam3,174
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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