# Mathematics Grade 10 Gauteng March Test 2023 Paper & Memo

> Grade 10 Mathematics question paper and memo from the Gauteng March Test 2023, 10 pages. Read online or get the free PDF download.

- Page: https://www.hlayiso.com/library/grade-10-mathematics-2023-gauteng-march-test-question-paper-and-memorandum/7431bb42-dbcc-4490-928a-6443a09005ed
- Updated: 2026-09-28
- Subject: Mathematics
- Grade: Grade 10
- Document type: Question paper and memo
- Year: 2023
- Exam period: Gauteng March Test
- Curriculum: CAPS
- Pages: 10

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## About this document

Mathematics · Grade 10 · Gauteng March Test · 2023. Question paper and memorandum, 10 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 Stanmorephysics.com

REPUBLIC OF SOUTH AFRICA

SEER: ecncncooremmen

——
DEPARTMENT OF

EDUCATION

SEKHUKHUNE SOUTH DISTRICT

GRADE 10

MATHEMATICS
TEST 1
MARGH. 2023

MARKS : 50 MARKS

DURATION: 1 HOUR.

This question paper consist of 4 pages including cover page.

### Page 2

Rawnlaadedafrom Stanmoreps&ysics.com March 2023

INSTRUCTIONS AND INFORMATION
Read the following instructions carefully before answering the questions .

1. This question paper consists of 2 questions.

2. Answer all the questions.

3. Clearly show all the calculations, diagrams, graphs, et cetera that you have used in
determining your answers.

4, Answers only will not necessarily be awarded full marks.

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

6. If necessary, round your answers off to two decimal places, unless stated otherwise.

7. Number your answers correctly according to the numbering system used in this question
paper.

8. It is in your best interest to write neatly and legibly.

Page 2 of 4

### Page 3

Rawnlaadedafrom Stanmoreps&ysics.com March 2023
QUESTION 1
1.1 Ifx = V2 and y = —2, decide whether the following expressions are rational,
irrational or no real
11.1 > xy (1)
1.1.22 (1)
x
1.1.3 x? (1)
114 fy (1)
1.2 Expand the following expressions:
1.21 (a—2)(a?+2a+4) (2)
1.2.2 -(2x—5)? (2)
1.2.3 (5 +1 ) (¢ _ 1) (2)
1.3. Simplify completely
13.1 y= 3 — Se_ 4 (4)
2-x x-2
1.3.2 s7choyet (4)
18Y .gy-t
1.3.3 22nte—g2nta (3)
qnet
1.4 Factorise the following:
14.1 8x3 +1 (2)
14.2 2x?-x-6 (2)
14.3. a?—2ab— 2b*+ab (3)
[28]

Page 3 of 4

### Page 4

Rawnlaadedafrom Stanmoreps&ysics.com March 2023

QUESTION 2

2.1 Solve for x :

211 > x%=5x (3)
21.2 p_ we (3)
3S
21.30 (1X1 (3)
(3) =27
2.1.4 3(2 — 3x) 215 (4)

2.2. Solve for a and b simultaneously:

a+b=12 and4a+ 2b = 44 (5)
2.3. George is 7 times as old as his son. In 25 years’ time he will be twice as old as his

son. Calculate his son’s present age.

HINT: variable x may be used to develop equations. (4)

[22]
TOTAL : 50

Page 4 of 4

### Page 5

Downloaded from Stanmorephysics.com

REPUBLIC OF SOUTH AFRICA

——
DEPARTMENT OF

EDUCATION

SEKHUKHUNE SOUTH DISTRICT

GRADE 10

MATHEMATICS
MEMORANDUM
MARCH 2023

MARKS: 50 MARKS
DURATION: 1 HOUR.

This memorandum consist of 6 pages including cover page.

### Page 6

Pawnloadedefxom Stanmorephysics.com March 2023
QUESTION 1
1.1
1.1.1 | Irrational v Irrational (1)
1.1.2 | Irrational v Irrational (1)
1.1.3 | Rational v Rational ()
1.1.4 | Non-real v Non-real qd)
1.2
1.2.1 | (a—2)(a? + 2a+4) = a?-8 va
v -8 (2)
1.2.2 | —(2x — 5)? = —(4x? — 20x + 25) ¥ 4x? — 20x +25
= —4x? + 20x — 25 v Answer (2)
1.23 y @
4
a a _@ 2
(F+1)(-1)=9-1 v -1 @
1.3
13.1 ]),—3 - 58 42, _ 5x-6 _ 4
x—3 lox x2 3+ x-2 0 x-2
__ X(x-2)—-3 (x-2)+5x-6-4 Y LCD: (x _ 2)
aa :
2 _ —6—.
= xo -2x — 6-4 v Simplifying
_ x4
~~ x=2
_ (&@—2)(x +2) v_ Factors
~ x-2
v
=~xy42 Answer (4)

Page 2 of 6

### Page 7

Pawnleadedicfnom Stanmorephysics.com

March 2023

1.3.2

42Y-1 gVtt (22)? (32)"**

v prime bases

187.8Y72 (2.32) (23)7-4
L 24-2 g2yt2 v simplifying
™~ 2y 32¥,23¥-3
= 24Y-2-y-3y +3 32yt2-2y
= 2! 32 Y 21,32
v answer
=18 (4)
1.3.3
22nt2 _ panti
4nt1
= 222? ~ 2?n20 v prime bases
~ 22n 22
_ 22"( 22-2)
= ange ¥ common factor: 22”
=*2
‘ v answer
a
=5 (3)
1.4
1.4.1 | 8x3 +1 = (2x + 1)(4x? - 2x +1) y 2xt1
Y 4x7-2x41 (2)
1.4.2 | 2x2 —x—6 = (2x + 3)(x — 2) ¥—2x+3
Yix-2 (2)

Page 3 of 6

### Page 8

Pawnloadedefxom Stanmorephysics.com March 2023
1.4.3 a* — 2ab — 2b? + ab = (a — 2b) + b(a — 2b) ¥ a(a—2b)
¥ b(a—2b)
= (a+ b)(a— 2b)
¥ answer (3)
[28]
QUESTION 2
2.1 | 2.1.1 |x? =5x
x?-— 5x =0
¥ x?-5x=0
x(x—5)=0 VY x(x-5) =0
x=Oorx=5 Y both x values (3)
2.1.2 2
pal
3S
3RS = 2Vx v multiplying by 3S
3RS Y dividing by 2
= Vx
2
9R?S2 v answer
x= 3)
2.1.3 net
() 27
(3°1)*"7 = 33 v simplifying
3-*+1 — 33
-x+1=3
¥-x+1=3
x=-2 v answer (3)

Page 4 of 6

### Page 9

Pawnloadedefxom Stanmorephysics.com March 2023
2.1.4 | 3(2—3x) = 15
6—9x 215
simplifying

—-9x 29 9x >9
x<-1 -_ answer

-1 number line
OR
2-3x 25
—3x >3

(4)
x<-l
2.2

AtbD=12.. ce (1)

4a + 2b = 44........ (2)
From (1) :a=12-—b
4(12 — b) + 2b = 44
48 — 4b + 2b = 44

—2b =—4

OR

From (1).....b =12—a
4a + 2(12 — a) = 44
4a+24—2a= 44

2a = 20

a=12-b

4(12 —b) + 2b = 44
48 — 4b + 2b = 44

b=2

a=10
or

b=12-a

4a+2(12—a)+
2b = 44
4a +24—-2a=44

Page 5 of 6

### Page 10

Pawnloadedefxom Stanmorephysics.com March 2023
a=10 Y a=10
b=2 ¥ b=2 (5)
2.3 Son George
Now x 7x
In 25 years x+25 7x+25 ¥ x+25
Y 7x+25
Equation: 7x +25 = 2(x +25) ¥ 7x +25 =2x+50
7x +25 = 2x+50 ¥ 5x =25
5x = 25
x=5 vy Answer
His son is 5 years old . (4)
[22]

TOTAL: 50

Page 6 of 6

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