BNU1501/2019
Basic Numeracy
BNU1501
Semester 2, 2019
Department of Decision Sciences
01
02
03
04
Assignments
15 August 825342
26 August 775833
6 September 830498
17 September 816775
FOR SEMESTER 2 STUDENTS ONLY
ASSIGNMENT 01
Study material: Chapters 1, 2 and 3 in the Study Guide
Unique assignment number: 825342
FIXED DUE DATE: 15 August 2019
Important:
• This is a multiple-choice assignment that must be answered and submitted ONLINE using myUnisa.
Go to Assessment Info on the BNU1501 module site and follow the steps. Make sure that you
complete the submission process.
• Always keep your detailed workings in a file to be able to compare your solutions to the ones that will
be published on the BNU1501 module site on myUnisa after the due date. Also, keep a copy of
the options you have chosen, in case of a query.
• The due date of this assignment is fixed. No extension can be granted because the solutions will be
posted on the BNU1501 module site shortly after the closing date.
Question 1
Round 20,54545... off to three decimal digits.
[1]
21,045
[2]
20,545
[3]
20,550
[4]
21,545
Question 2
Round 20,54545... off to two decimal digits.
[1]
20,60
[2]
21,04
[3]
20,55
[4]
21,05
Question 3
Round 20,54545... off to an integer.
[1]
20,6
[2]
21
[3]
20
[4]
25
2
BNU1501
Question 4
A shuttle and a bus leave Unisa at 9:00, heading for the FNB stadium. The bus arrives at the stadium
15 minutes after the shuttle. Suppose the bus takes y minutes to travel from Unisa to the stadium. An
expression for the time it takes the shuttle to travel to the stadium is ...
[1]
[2]
(y − 15) minutes.
(9 + y − 15) minutes.
[3]
(y + 15) minutes.
[4]
(y + 15 − 9) minutes.
Question 5
A mother divides an amount of money among her three children, Kagiso, Dikeledi and Thabo. Kagiso gets
twice as much as his sister, Dikeledi, and Dikeledi gets R100 less than Thabo. Suppose Thabo gets x rand.
How much does Kagiso get in terms of x?
x
+ 100 rand
[1]
2
100 − x
[2]
rand
2
[3]
[4]
2 (x + 100)
rand
3
2(x − 100) rand
Question 6
The petrol consumption of a certain boat is 15 litres per 100 kilometres. Suppose you want to travel d
kilometres and the petrol price is p rand per litre. How much, in rand, will it cost you to travel the d
kilometres?
15
[1]
100dp
100
[2]
15dp
15p
[3]
100d
15dp
[4]
100
Question 7
A plumber charges a call-out fee of R160 plus R240 per hour to do a job. At least how many hours must he
work to earn more than R1 120 for a specific job? (Hint: Suppose he must work at least x hours).
[1]
4,7 hours
[2]
4 hours
[3]
2,8 hours
[4]
5,3 hours
3
Question 8
Alexander travels x kilometres in p hours. At what average speed does Alexander travel?
[1]
xp km/h
[2]
(x − p) km/h
[3]
[4]
x
p
p
x
km/h
km/h
Question 9
Suppose I buy 10 shirts. Some cost R40 a shirt and others cost R45 a shirt. If the total cost is R435, how
many of the R45 types of shirt did I buy?
[1]
10
[2]
7
[3]
5
[4]
3
Question 10
Simplify the following expression as far as possible:
x(x − 2) − 2(1 − x2 )x − 4x
[1]
[2]
[3]
[4]
x2 − 8x − 2x3
−x3 + x2 − 6x − 2
−x3 + x2 − 4x − 4
2x3 + x2 − 8x
Question 11
Simplify the following expression as far as possible:
ab(a − b) − b(c2 − ba) − (a2 − c2 )b
[1]
[2]
[3]
[4]
4
−2ab2 − 2bc2
ab − a2 b
0
−a2 b4 − b2 c4
BNU1501
Question 12
Simplify the following expression as far as possible:
√
√
b8 · b16
[1]
b32
[2]
b8
[3]
b12
[4]
b64
Question 13
Simplify the following expression as far as possible:
2−2 · 23
[1]
2
[2]
2−6
[3]
−2
[4]
−24
Question 14
Simplify the following expression as far as possible:
ax+3 · a−x−2
[1]
a
[2]
a2
[3]
a−x
[4]
2a
2 −6
Question 15
Solve the following expression as far as possible:
2
3xy 2 z 3 × 2x3 y 4 ÷ xy 2 z 3
[1]
3x4 y 8 z 3
[2]
18x4 y 6 z 3
[3]
18x4 y 4 z 2
[4]
12x4 y 6 z 3
END OF ASSIGNMENT 01 OF SEMESTER 2
5
FOR SEMESTER 2 STUDENTS ONLY
ASSIGNMENT 02
Study material: Chapters 4, 5, 6 and 7 in the Study Guide
Unique assignment number: 775833
FIXED DUE DATE: 26 August 2019
Important:
• This is a multiple-choice assignment that must be answered and submitted ONLINE using myUnisa.
Go to Assessment Info on the BNU1501 module site and follow the steps. Make sure that you
complete the submission process.
• Always keep your detailed workings in a file to be able to compare your solutions to the ones that will
be published on the BNU1501 module site on myUnisa after the due date. Also, keep a copy of
the options you have chosen, in case of a query.
• The due date of this assignment is fixed. No extension can be granted because the solutions will be
posted on the BNU1501 module site shortly after the closing date.
Question 1
Write 3
[1]
[2]
[3]
[4]
4
as an improper fraction.
7
7
7
25
7
12
21
12
7
Question 2
Write
[1]
[2]
[3]
[4]
6
100
as a mixed fraction.
7
2
100
7
3
11
7
2
98
7
2
14
7
BNU1501
Question 3
Determine the LCM (Lowest Common Multiple) of the following three numbers:
9, 8 and 6
[1]
72
[2]
432
[3]
54
[4]
144
Question 4
Determine the LCM of the following three terms:
a2 bc, abc and ab3
[1]
a4 b4 c2
[2]
abc
[3]
a2 b3 c
[4]
a2 b3
Question 5
Determine the LCM of the following three terms:
6x3 , 8x2 y 2 and 12xy 5
[1]
2xy 5
[2]
24x3 y 5
[3]
576xy
[4]
24x6 y 7
Question 6
Simplify the following expression as far as possible without using a calculator:
4 5 1
− +
5 6 4
[1]
0
[2]
− 15
[3]
[4]
13
60
1
1 20
7
Question 7
Simplify the following expression as far as possible without using a calculator:
3 2 4
÷ ×
8 3 5
[3]
9
20
1
5
45
64
[4]
5
[1]
[2]
Question 8
Simplify the following expression as far as possible without using a calculator:
3 7 1
+ ÷
7 9 3
[1]
3 13
21
[2]
2 16
21
[3]
13
17
9
49
[4]
Question 9
Simplify the following expression as far as possible:
1
2
+
4x2 5x
[1]
[2]
[3]
[4]
4x2
3
+ 5x
5x
8x2
5 + 8x
20x2
3
9x2
Question 10
[1]
2
as a decimal number, rounded to four decimal digits, without using a calculator.
9
0,223
[2]
2,9000
[3]
4,5000
[4]
0,2222
Write
8
BNU1501
Question 11
[1]
5
as a decimal number, rounded to three decimal digits.
8
0,625
[2]
10,580
[3]
10,625
[4]
10,160
Write 10
Question 12
Write 2,525 as an ordinary fraction in its simplest form.
1
[1]
2
2
21
[2]
2
40
11
[3]
2
40
1
[4]
2
8
Question 13
A blended fruit juice contains three main ingredients, namely mango juice, orange juice and distilled water,
mixed in the ratio 4 : 5 : 1, respectively. How many litres of orange juice are needed to make 25 litres of
this fruit juice?
[1]
2,5 litres
[2]
5 litres
[3]
10 litres
[4]
12,5 litres
Question 14
Bargains-4-U sells a washing machine for R1 320, excluding VAT. We assume that VAT is 14%. If you pay
cash, the company offers a 5% discount. How much will you save if you buy this washing machine in cash?
[1]
R75,24
[2]
R66,00
[3]
R135,43
[4]
R118,80
9
Question 15
A school has 880 pupils. If the ratio of the number of boys to girls is 7 : 4, respectively, how many more
girls should need to enroll if the school authorities want the ratio of number of boys to the number of girls
to be 1 : 1?
[1]
320
[2]
560
[3]
240
[4]
880
END OF ASSIGNMENT 02 OF SEMESTER 2
10
BNU1501
FOR SEMESTER 2 STUDENTS ONLY
ASSIGNMENT 03
Study material: Chapters 4, 5, 6 and 7 in the Study Guide
Unique assignment number: 830498
FIXED DUE DATE: 6 September 2019
Important:
• This is a multiple-choice assignment that must be answered and submitted ONLINE using myUnisa.
Go to Assessment Info on the BNU1501 module site and follow the steps. Make sure that you
complete the submission process.
• Always keep your detailed workings in a file to be able to compare your solutions to the ones that will
be published on the BNU1501 module site on myUnisa after the due date. Also, keep a copy of
the options you have chosen, in case of a query.
• The due date of this assignment is fixed. No extension can be granted because the solutions will be
posted on the BNU1501 module site shortly after the closing date.
Question 1
Consider the diagram below. Measurements are indicated on the diagram. The semi-circle fits perfectly into
the shorter side of the rectangle.
6 c m
cm
4 ,8
4 c m
2 c m
6 c m
Calculate the perimeter of the area that is shaded in the diagram.
[1]
31,37 cm
[2]
21,72 cm
[3]
15,43 cm
[4]
25,08 cm
11
Question 2
Consider the diagram that has one right angle below. Measurements are indicated on the diagram.
1 0 m m
4 0
m m
m
2 m
4 1 ,
m
4 4 ,7 m
1 0 m m
1 0 m m
5 0 m m
Calculate the area of the shaded part in the diagram.
[1]
200 mm2
[2]
206 mm2
[3]
223,5 mm2
[4]
194 mm2
Question 3
In the diagram below, a rectangle fits perfectly into the circle. The measurements are indicated on the
diagram.
5
cm
4 c m
3 c m
Calculate the area of the shaded part of the diagram.
[1]
66,54 cm2
[2]
7,64 cm2
[3]
6,30 cm2
[4]
27,27 cm2
12
BNU1501
Question 4
Refer to the sketch below. A cylindrical piece of steel, which is 30 mm long and has a radius of 6 mm, has a
square hole right through it in its length. The hole is in the centre of the rod. The sides of the square are
each 5 mm.
m
3 0 m
6 m m
5 m m
Calculate the volume of metal that this small object contains.
[1]
98,2 mm3
[2]
264,29 mm3
[3]
2,64 cm3
[4]
2,49 cm3
Question 5
A circular water reservoir has a maximum capacity of 10 000 kilolitres and its diameter is 30 metres. How
deep is the reservoir?
[1]
14,1 m
[2]
3,5 m
[3]
106,1 m
[4]
11,1 m
Question 6
Solve the following equation:
7 − 4a = 2 (3 − 5a)
[1]
[2]
[3]
[4]
a = −1
1
a=
6
13
a=−
14
1
a=−
6
13
Question 7
A rectangular glass tank is half filled with water. The tank is 25 centimetres long, 20 centimetres wide and
30 centimetres high. How many litres of water have to be added to raise the water level with 5 centimetres?
3 0 c m
cm
2 5
2 0 c m
[1]
7,9
[2]
2 500
[3]
2,5
[4]
10
Question 8
Solve the following equation:
[1]
[2]
1
2
a+ =a
7
3
a = −7
a=
[3]
a=
[4]
a=
7
9
7
18
3 12
Question 9
1
If s = ut + at2 , make a the subject of the formula.
2
2s − ut
[1]
a=
t2
s − ut
[2]
a=
2t2
2(s − ut)
[3]
a=
t2
q
[4]
a = s−ut
t
14
BNU1501
Question 10
If S = P (1 + i)n , make i the subject of the formula.
S
[1]
i=
−1
Pn
q
[2]
i = n PS − 1
q
[3]
i = n PS + 1
q
[4]
i = n PS − 1
END OF ASSIGNMENT 03 OF SEMESTER 2
15
FOR SEMESTER 2 STUDENTS ONLY
ASSIGNMENT 04
Study material: Chapters 4, 5, 6 and 7 in the Study Guide
Unique assignment number: 816775
FIXED DUE DATE: 17 September 2019
Important:
• This is a multiple-choice assignment that must be answered and submitted ONLINE using myUnisa.
Go to Assessment Info on the BNU1501 module site and follow the steps. Make sure that you
complete the submission process.
• Always keep your detailed workings in a file to be able to compare your solutions to the ones that will
be published on the BNU1501 module site on myUnisa after the due date. Also, keep a copy of
the options you have chosen, in case of a query.
• The due date of this assignment is fixed. No extension can be granted because the solutions will be
posted on the BNU1501 module site shortly after the closing date.
Question 1
The straight line passing through points (−3; 1) and (1; −1) is...
[1]
a descending line.
[2]
an ascending line.
[3]
a vertical line.
[4]
a horizontal line.
Question 2
Joseph invests R36 000 at a simple interest rate of 6% per year. How long will it take for Joseph’s investment
to grow to R55 440?
[1]
5,8 years.
[2]
7,4 years.
[3]
9,0 years.
[4]
1,1 month.
16
BNU1501
Question 3
How much, to the nearest rand, can Lerato borrow from a bank if she can repay the loan by means of
quarterly payments of R2 000, starting at the end of the first quarter? The interest rate is 18% per annum,
compounded quarterly, and the duration of the loan is 10 years. Assume that the interest rate will stay
fixed for the term of the loan.
[1]
R214 061
[2]
R50 206
[3]
R240 000
[4]
R36 803
Question 4
What would the difference in interest earned be if R3 750 is invested for 3 years at 8% simple interest per
year versus if it is invested for the same period at 8% per year, compounded yearly?
[1]
R973,92
[2]
R73,92
[3]
R3 676,08
[4]
R3 823,92
Question 5
Sarah wants to save R100 000 for a deposit on a townhouse. She wants to deposit R500 per week into a
savings account that offers 9% interest per year, compounded weekly. How long will it take her to save
enough for the deposit?
[1]
10,2 years
[2]
14,3 years
[3]
3,3 years
[4]
4,7 years
Question 6
Jacky bought a second-hand car for R80 000 from a dealer in Pretoria. She managed to secure a loan at an
interest rate of 10,5% per year, compounded monthly. The term of the loan was five years and the interest
rate stayed fixed for the term of the loan. Determine Jacky’s minimum monthly payment.
[1]
R1 019,51
[2]
R1 719,51
[3]
R16 200,55
[4]
R1 333,33
17
Question 7
Consider Jacky’s loan in question 6 above.
What would the outstanding amount on the loan to the nearest rand be after two years’ payments had been
made on time?
[1]
R77 952
[2]
R52 904
[3]
R0,00
[4]
R2 709
Question 8
Refer to Jacky’s loan in question 6 above.
How much did the car cost Jacky in total over the five years?
[1]
R134 928,24
[2]
R8 597,55
[3]
R103 170,60
[4]
R171 951,00
Question 9
Consider the amortisation of Jacky’s loan in question 6 above. Suppose Jacky made all minimum monthly
payments on time into this loan account. In which month was the principal, which was paid off, for the first
time more than the interest paid off?
[1]
in the 2nd year, 7th month
[2]
in the 5th year, 12th month
[3]
in the 2nd year, 6th month
[4]
in the 1st year, 1st month
Question 10
Refer to Jacky’s loan in question 6 above. How much would Jacky save if she decided to pay R2 000 per
month into this loan account from the start?
[1]
R4 275,78
[2]
R34 275,71
[3]
R23 172,72
[4]
R0,00
END OF ASSIGNMENT 04 OF SEMESTER 2
END OF TUTORIAL LETTER
18