WESTERN CAPE EDUCATION DEPARTMENT
GRADE: 9
SUBJECT: MATHEMATICS
TERM ONE
FORMAL ASSESSMENT TASK - ASSIGNMENT
MEMORANDUM
Name: _______________________________________________________
Class: ___________________________ Date: ______________________
School: __________________________ Teacher:___________________
FAT
Activity/Form
1.1
ASSIGNMENT
Learner’s
mark
TOTAL:
50
Learner’s %
The principle of CA marking must be applied throughout this memo.
CA – Consistent accuracy
M – Method
A - Accuracy
QUESTION 1
1.1
Write 0,000 000 000 098 in scientific notation.
𝟗, 𝟖 × 𝟏𝟎−𝟏𝟏 A
(2)
1.2
Simplify and leave answer in decimal form: (3,6 × 106 ) − (5,2 × 105 ) – show steps of
calculations
= (𝟑𝟔 × 𝟏𝟎𝟓 ) − (𝟓, 𝟐 × 𝟏𝟎𝟓 ) A
= (𝟑𝟔 − 𝟓, 𝟐) × 𝟏𝟎𝟓
= 𝟑𝟎, 𝟖 × 𝟏𝟎𝟓
= 𝟑, 𝟎𝟖 × 𝟏𝟎𝟔 CA
(2)
1.3
Simplify, without the use of a calculator. Show all steps of calculation in each case.
5
8
= 3 ∶ 3 A
1.3.1 1 2 : 2 2
3
3
= 5 : 8 CA
(2)
𝟑
𝟑
1.3.2 2( 3√64 + √25 )
( √𝟒𝟑
√𝟓𝟐 )
𝟐 ( √𝟔𝟒 + √𝟐𝟓 ) = 𝟐
+
= 𝟐 (𝟒 + 𝟓) A
= 𝟐 (𝟗)
= 𝟏𝟖
CA
A
(3)
1.3.3 3−1 − 4−1
𝟑−𝟏 − 𝟒−𝟏 =
=
=
𝟏
−
𝟑
𝟒
𝟏𝟐
𝟏
𝟏𝟐
𝟏
𝟒
−
M/A
𝟑
𝟏𝟐
CA
(2)
1
3 3
1.3.4
+2 −
2
4 8
𝟏
𝟐
𝟒
𝟖
+
+
𝟐𝟑
𝟖
𝟏𝟏
𝟒
𝟐𝟐
𝟖
−
−
=𝟐
𝟕
𝟖
𝟑
𝟖
𝟑
𝟖
A
A
 CA
(3)
Mathematics Gr 9 SBA TASK 1: ASSIGNMENT
2
1.4
Between which two consecutive integers does √150 lie?
√𝟏𝟒𝟒 < √𝟏𝟓𝟎 < √𝟏𝟔𝟗 A A
𝟏𝟐 < √𝟏𝟓𝟎 < 𝟏𝟑 CA
(3)
1.5
Determine the sum of all the factors of 100
∑ 𝐹 100 = 1 + 2 + 4 + 5 + 10 + 20 + 25 + 50 + 100 A
= 217 CA
(2)
1.6
Show through factorising that 899 is not a prime number.
899 = 29 × 31 OR Factors of 899 = 1; 29; 31; 899
OR 899 = 900 – 1 = (30 + 1)(30 -1) = 31 × 𝟐𝟗
any one A
 NOT PRIME A
(2)
1.7
Divide 240 g in the ratio 5 : 3 : 4
total parts = 12  1 part = 20
∴
5
12
× 240 = 100 ;
3
12
× 240 = 60 ;
4
12
× 240 = 80
 100 : 60 : 80 A A A
(3)
1.8
Allan’s car uses 1 litre of fuel to travel 12 km. How much fuel will be needed to travel
420km?
420
Number of litres = 12 𝐀
= 35 litres  CA
(2)
[26]
QUESTION 2
2.1
Simplify, without using a calculator:
2.1.1
(2 2) + (0,5)2
1 2
1
1
6 4 + 4 OR 6,25 + 0,25 AA
1
= 6 2 OR 6,5 CA
(3)
Mathematics Gr 9 SBA TASK 1: ASSIGNMENT
3
2.1.2
2𝑥+1 . 4 . 8𝑥
16𝑥+1
=
=
2𝑥+1 .22 .23𝑥
24(𝑥+1)
2𝑥+1 .22 .23𝑥
24𝑥+4
A(numerator/ teller)
AA (denominator/ noemer)
= 2𝑥+1+2+3𝑥−4𝑥−4
 CA (exponent law)
= 2−1 = ½  CA
(5)
2.2
Consider the figures below which were built using black and white tiles:
Figure 2
Figure 1
2.2.1
Figure 3
Complete the following table:
Figure
1
2
3
4
Number of black tiles
1
2
3
4
Number of white tiles
6
10
14
18
AA
(2)
2.2.2
Write down an expression for the general term, Tn, showing the number of white tiles in the
n-th figure.
A A
Tn = 4n + 2
(2)
2.2.3
How many white tiles will be in figure 15?
T15 = 4(15) + 2
= 62
CA
CA
(2)
[14]
Mathematics Gr 9 SBA TASK 1: ASSIGNMENT
4
QUESTION 3
SA Credit Bank
R9 000,00
Cash already approved
3.1
Mia Parker
P. O. Box 472
Kensington
Maitland
7405
YOUR LOAN OFFER
AMOUNT ALREADY APPROVED
Dear Ms Parker
We know it is important to you to manage
your finances responsibly.
Here’s an offer you would want to use.
3.1.1
Calculate the TOTAL amount
that Mia has to pay back if she
takes the loan.

Payable over 48 months

Monthly installments
R 9 000,00
R 318,92
EXPIRY DATE: 16 January
𝑹𝟑𝟏𝟖, 𝟗𝟐 × 𝟒𝟖 = 𝑹𝟏𝟓𝟑𝟎𝟖, 𝟔𝟏 A
(2)
Why, do you think, do banks
3.1.2 and other financial institutions
offer cash loans to people that
did not apply for it?
3.2
Part of their marketing strategy/ to attract clients. A
Any relevant answer
(1)
Which investment is the most profitable? Show al calculations.
Simple interest:
(i)
R560 invested at 8%
p.a. simple interest for
𝐴 = 𝑃(1 + 𝑖𝑛)  𝑴
3 years
A = 560 (1 + 0,08 × 3)𝐀
A = R 694,40
OR
(ii)
R 560 invested at 7%
p.a. compound interest
for 3 years
CA
Compound interest:
𝐴 = 𝑃(1 + 𝑖)𝑛  𝑴
A = 560 (1 + 0,07)3 𝐀
A = R 686,02
𝐂𝐀
Simple interest option is the most profitable. CA
(7)
[10]
Mathematics Gr 9 SBA TASK 1: ASSIGNMENT
5