# Mathematics Grade 10 KwaZulu Natal June 2021 Question Paper

> Grade 10 Mathematics question paper from the KwaZulu Natal June 2021, 4 pages. Read online or get the free PDF download, memo linked when available.

- Page: https://www.hlayiso.com/library/maths-grade-10-june-2021-qp-only/daa5b2cc-04fc-4d93-8d55-806216f620df
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 10
- Document type: Question paper
- Year: 2021
- Exam period: KwaZulu Natal June
- Curriculum: CAPS
- Pages: 4

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## About this document

Mathematics · Grade 10 · KwaZulu Natal June · 2021. Question paper, 4 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

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Education

REPUBLIC OF SOUTH AFRICA

NATIONAL
SENIOR CERTIFICATE

GRADE 10
: MATHEMATICS
" COMMON TEST
i JUNE 2021

This question paper consists of 4 pages.

Copyright Reserved

KwaZulu-Natal Department of Education

Please turn over

### Page 2

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Ne yulE 2ue1

NSC

INSTRUCTIONS AND INFORMATION

Read the following instructions carefully before answering the questions.

c

This question paper consists of 3 questions.
Answer ALL the questions.

Clearly show ALL calculations, diagrams, graphs, etc. which you have used in
determining your answers.

Answers only will NOT necessarily be awarded full marks.

You may use an approved scientific calculator (non-programmable and
non-graphical), unless stated otherwise.

If necessary, round off answers correct to TWO decimal places, unless stated
otherwise.

Diagrams are NOT necessarily drawn to scale.

Write neatly and legibly.

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Mathematics 3 KZN/June 2021
NSC

QUESTION 1

1 Consider the following number sequences: -14;—17;—20;-235...

1.1.1 | Write down the next TWO terms in the sequence. (Q)

1.1.2 Complete the table below, by determining the values of a, b and c.

n 1 : 3 a 14 50
Tn -14 -17 -20 -32 b c (3)
1.1.3. Write down the general term, 7, , of the sequence. (2)
1.2 A sequence of patterns is made from square tiles and triangular tiles. Below are

the first three patterns in the sequence.

Pattern 1 Pattern 2 Pattern 3
1.2.1. Determine how many square tiles are required for pattern 10. (2)
1.2.2. Calculate how many triangular tiles are required for pattern 24. (3)
[12]
QUESTION 2
a1 If A=40° and B=19°, use a calculator to evaluate, correct to TWO decimal
: places, the following: cot B-sec A. (2)
22 Given: 17sin9+8=0 and 90°<@<270° , determine with the aid of a diagram,
: and without the use of a calculator, the value of:
221 cos’ (4)
2.2.2 2tan@—cosecO (3)

Solve for x (correct to TWO decimal places) ift

2.3 4
3cos(3x+10°)-1=0 , xe[0°;90°]. ®

2.4 Without the use of a calculator, showing all working, determine the value of:

sin90°+ tan? 45° +/2 cos 45° (3)
[16]

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QUESTION 3

The graphs of (x)= se -8 and g(x)=—x-4 are given.

A and B are x- intercepts of the graph of f, and D is the turning point of f.

The graph of g meets f at B and E.

C is the y-intercept of g.

3.1

32

y
f
A O B x
Cc
&
D

Determine:
3.1.1 the coordinates of A, B, C and D.
3.1.2 the length of CD.

3.1.3. the equation of k (x) , if k(x) =—f(x)
The following functions are given: f(x)= 2 +2 and h(x)=2*+2.
3

3.2.1 Sketch the graphs of f and A on the same set of axes, clearly showing all
intercepts with the axes and asymptotes where applicable.

3.2.2 Write down the domain of f.

TOTAL:

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(8)
(2)
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(2)
[22]

50

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