PAPER 1
TOTAL: 100
TIME: 2 hours
QUESTION 1 [8]
Are the following statements true or false:
1.1
All counting numbers are natural numbers.
(1)
1.2
0 is an integer.
(1)
1.3
1 is the smallest prime number.
(1)
1.4
2 is the only even prime number.
(1)
1.5
The multiples of 6 is: 2, 3 and 6.
(1)
1.6
The divisibility rule for 9 is that the sum of the numbers must be
divisible by 9.
(1)
1.7
The LCM of 3 and 20 is 60.
(1)
1.8
The square of 9 is 3.
(1)
QUESTION 2 [14]
2.1
Complete the following:
2.1.1 148 + (
2.1.2 2 + −3
2.1.3
2.1.4
−2
(1)
) = 120
=5
(1)
−4 = −24
(1)
(1)
÷ −8 = 7
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2.2
Complete with < , > 𝑜𝑟 = 𝑖𝑛:
2.2.1 278654 …….. 1376456
2.2.2
2.2.3
!
!
(1)
……... 3 − 3
(1)
2 3 4 …….. −2 −3 4
(1)
2.2.4 (−2)! …….. 8
(1)
2.3
Write 840 as the product of its prime factors.
(2)
2.4
Increase 16 with ratio 2:5.
(2)
2.5
Arrange the following in ascending order:
! ! !
; ; .
! ! !
(2)
QUESTION 3 [28]
Simplify the following. Show all calculations.
3.1
3.2
(2)
−121 ÷ −11
(3)
200 ÷ 2 − (−125 ÷ 25)
3.3
3 − 12× −3 + (−5)
(3)
3.4
(!!)(!!)(!)
(3)
3.5
1! + 2!
3.6
(!!)(!)
!
!
!
(3)
!
!
(2)
!"
!
!
!
− ! × !"
(4)
3.8
225 − 81
(2)
3.9
36×9 + 16 + 9
(2)
3.10
0,49
(2)
3.11
!
(2)
3.7
!
!"#
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QUESTION 4 [5]
Consider the following algebraic expression:
2𝑥 ! + 2𝑥 ! − 𝑥 ! −
𝑥
− 4𝑥 ! − 10
3
4.1
How many terms does this expression have?
(1)
4.2
Give the coeffisient of the 4th term.
(1)
4.3
Give the constant term.
(1)
4.4
Give the degree of the expression.
(1)
4.5
Determine the value of the expression if 𝑥 = 1.
(1)
QUESTION 5 [15]
Simplify the following (show ALL your calculations):
5.1
𝑏+𝑏+𝑏
(1)
5.2
𝑐×𝑐×𝑐×𝑐
(1)
5.3
𝑎𝑏𝑐 + 𝑏𝑐𝑎 + 𝑎𝑐𝑏
(2)
5.4
(7𝑎)(−3𝑏)
(2)
5.5
2×𝑥 + 𝑥×2
(2)
5.6
2 𝑎 + 1 + 4 3𝑎 − 1 + 𝑎(7 − 5)
(4)
5.7
!! ! !!! ! !!"! !
(3)
!! !
QUESTION 6 [12]
Solve for 𝑥:
6.1
3𝑥 + 5 = 17
(2)
6.2
!
(2)
!
=8
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6.3
6.4
6.5
!
!
=8
− ! + 8 = 13
!
6.3Emma
= 8buys
!
(2)each. She pa
7 apples and 5 oranges. The apples cost 45c
6.4
− 𝑥 + 8 = 13
(3)
6.5
Emma buys 7 apples and 5 oranges. The apples cost 45c each. She pays
R4.20 for the fruit in total. Set up an equation and determine how mu
oneR4.20
orange
will cost? (hint: let the cost of an orange be !)
for the fruit in total. Set up an equation and determine how much
one orange will cost? (hint: let the cost of an orange be 𝑥 )
(3)
QUESTION 7 [7]
QUESTION 7 [7]
Consider
thethefollowing
and
answer
the questions:
Consider
following and
answer
the questions:
Figuur 1
Figure 1
7.1
Figuur 2
Figure 2
Figuur3 3
Figure
How many matches will figure 4 have?
7.1
How many matches will figure 4 have?
7.2
the
term
ofrow.
the
7.2Give
Give
thegeneral
general term
(𝑇!(!
) of
! )the
7.3
7.3Calculate
Calculate!𝑇!"" .
(2)
7.4
(2)
7.4
row.
(1)
!""
Which term will be equal to 89?
Which term will be equal to 89 ?
(2)
QUESTION 8 [11]
QUESTION
8 [11]
8.1
You have dollars worth R2 450.
8.1
How many dollars do you have if the
Youexchange
have dollars
worth
R2
rate is $1
= R9,24
. 450. How many dollars do you
(1) have if the
8.2exchange
A pair of shoes
normally
R690. How much will it cost if the shop
rate is
$1 =costs
R9,24.
8.2
gives you a 20% discount.
gives 20% discount?
8.3
(2)
A pair of shoes normally cost R690. How much will it cost if the shop
You want to buy a TV. You have the following options:
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Option A: R11 500 cash
8.3
You want to buy a TV. You have the following options:
Option A: R11500 cash.
Option B: Hire purchase option with a deposit of 10% and payment of the
balance over 4 years at 15% interest per annum.
8.3.1 Calculate the deposit amount which should be paid in option B.
(1)
8.3.2 Calculate the balance in option B after the deposit is paid.
(1)
8.3.3 Calculate the monthly installments for option B.
(4)
8.3.4 Which option is the best? Give a reason for your answer.
(2)
TOTAL: 100 marks
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