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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
Questions
1.
Tax Credits
John is a PAYE employee. His personal tax credits are €1760 per year and his PAYE
credits are €1760 per year. John earns €2500 gross pay per month. The tax rate is 20%.
He also pays PRSI on his gross wage at the rate of 7%.
a) How much tax credits is John entitled to per month?
b) How much tax does John pay per month?
c) How much PRSI does John pay per month?
d) What is his net pay per month, assuming that there are no other deductions?
VAT (Value Added Tax)
2.
A meal in a restaurant costs €84 plus VAT at 21%. Find the total cost of the meal
including VAT.
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
Bulk Buying
3.
A garage sells bunches of flowers which it buys from a local nursery. The garage pays
€1.80 per bunch and sells them for €3.00 per bunch. On a particular day, a garage buys
24 bunches of flowers, and sells them all.
a) What is the total cost price of the flowers?
b) What is the total selling price of the flowers?
c) What would the overall profit be on the fowers?
Simple Interest
Interest = Principal X Time X Rate
100
4.
Michelle invested €5000.00 in mutual fund with the interest rate of 4.8%. How much
interest would she earn after 2 years?
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
Discounted Goods
5.
John decided to buy a new car for €22500. If he can pay cash for the car, he will receive a
7.5% discount.
How much will the car cost if he pays in cash?
How much will he save by paying in cash?
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
Compound Interest
6.
A = P (1 + r )ⁿ
100
Use the compound interest formula to find the compound interest on €2800 invested for 2
years at 7%.
Currency Conversion
7.
€1 = US $0.85
a) What is the equivalent in Euros of $1700?
b) What is the equivalent in US $ of €2500?
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
Assignment 2 based on Unit 3
Write each of the following statements as algebraic expressions.
1. I think of a number and add 6.
2. I think of a number and double it.
3. I add 3 to a certain number and double the result.
4. I take 4 from 3 times a certain number.
5. Think of a number, double it, then multiply the result by 3.
Write an equation for each of the following and then solve the equation.
1. When 7 is added to a certain number, the result is 21, what is the number?
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
2. When 2 is taken from 3 times a certain number, the answer is 7. Find the number.
3. When 4 is added to a certain number and the result is multiplied by 3, the answer
is 27. Find the number.
4. I multiply a number by 6 and then add 8. If the answer is 38, find the number.
5. I add 4 to twice a certain number and multiply the result by 4. If the answer is 72,
find the number.
Real life situations. Derive the equation and solve.
1. If the perimeter of the given rectangle is 64cm, find the length and width of the
rectangle.
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
x
X+6
2. The angles of a triangle add up to 180 degrees. Two angles are equal and the other
angle is 54 degrees. Find the equal angles.
3. One angle of a triangle is twice as big as the second angle. If the third angle is 57
degrees, find the other two angles.
4. If the perimeter of the given triangle is 26cm, find the value of x.
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
x-4
x
x
5. A kilogram of apples costs 15c more than a kilogram of oranges. If 3kg of apples and
5kg of oranges cost €8.05, find the cost of a kg of apples.
Multiplication; Solve the Following;
1. 3 * a =
2. 4 * 5 * y =
3. 2 * a * 3 * b =
4. 4 * 2 * g =
5. 5 * a * b =
Addition and subtraction; Solve the following;
1. x + 2x + 3x
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
2. 2x + y + 3x + 6y
3. 3x + 2y + 3+ 4x + 3y+ 1
4. 7x - 3x - 4 +7
5. 5k + 3 - 4k + 6 + k – 4
6. 6x – xy + 5x – 7xy
7. 6ab + 2cd – ab + 3cd
8. 4 – 3a + 2b + 7a – b – 1
9. y + 4 – 3x + 9x + 2y – 7
10. 6x – 2 + 5y -3 + x – y
Division; Solve the following;
6x =
2
10y =
5y
20a + 10b =
2
6x – 6y =
3
25x – 10y =
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
5
Brackets; Solve the following;
1. 4(x + 2)
2. 3(a + 6)
3. 4(2a – 7)
4. 3(x + 2y + 1)
5. 6(2a + b + 3)
6. 5(x + 2y) – 3x + 2y
7. 8(a + b) – 4(2a + 3b)
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
8. 4(a + 3b + 1) + 2(a – 2b – 1)
9. 4(x + y) + x – y + 2(x – y)
10. 2x – 3y – 4(x + 2y) + 3x
Change the subject of the following equations and simplify:
1. x = y – 1
2. x = y + 5 – 2
3. x = 3y – 1
4. y = 4x + 10x – 4 +11
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
5. y = 11x – 7x + 3
Evaluate each of the following when x = 2 and y =3
1. x + y =
2. 2x + 3y =
3. 8y =
4.
y2 + x2 =
5. 3x2 =
6. 4x2 + y2 =
7. 5xy - 2y2 =
8. xy2 =
9. 3y2 – 2x =
10. 6x2 – 3xy =
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
Solve the following linear equations:
1. x + 2 = 5
2. 2x – 3 = 5
3. 2x – 4 = 2
4. 6 – x = 4
5. 4x – 5 = x + 7
6. 3x + 1 = 2x + 2
7. 4x – 5 = x + 7
8. 1 – 2x = 5
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
9. -2x + 7 = 3
10. 5(x – 2) = 2x + 2
11. 6x + 4 = 4(x – 2)
Assignment 3
Data Handling
1.
Find the mean, the mode and the median of the following sets of numbers.
(i)
(ii)
(iii)
12, 8, 14, 8, 16, 20
5, 8, 3, 7, 8, 9, 14, 8, 6
170, 168, 170, 179, 173, 175, 182
(i)
Mean
Mode
Median
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
(ii)
Mean
Mode
Median
(iii)
Mean
Mode
Median
2.
(i) Find the weighted average of the following numbers
Numbers
Weight
1
6
2
2
3
3
4
5
5
4
(ii) The following table shows the marks awarded in four subjects and the weights given
to each subject.
Mark
Irish
52
English
58
Maths
46
Science
48
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
Weight
2
3
4
1
Calculate the weighted average.
(iii) Find the weighted average of the following numbers.
Numbers
Weight
2
5
4
7
6
6
8
4
10
3
3.
(i)
15 children were asked to choose their favourite animal from the following three;
dog, cat, or horse.
The results were as follows; D stands for Dog
C stands for Cat
H stands for Horse
D
C
H
H
D
D
C
D
H
C
D
D
H
D
D
Tabulate these results in a Frequency Table
Animal
No. of Children
Dog
Cat
Horse
(ii)
Put the information above in the form of a Bar Chart.
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
(iii)
Draw a Pie Chart to represent this information
Find the segment sizes first.
4.
(i)
20 chefs were asked to choose their favourite vegetable from either
onion, carrot, potato or Turnip.
The results were as follows with O indicating onion
C indicating carrot
P indicating potato
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
T indicating turnip
T
T
P
P
O
C
P
O
P
P
O
C
C
P
C
C
P
P
P
P
Tabulate these in a Frequency Table
Vegetable
No. of Chefs
Onion
(ii)
Carrot
Potato
Turnip
To represent this information, draw a Bar Chart
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
(iii)
To represent this information, draw a Pie Chart
First find the segment angles




5.
(i)
15 people were asked how they traveled to work; either car, bus or bike.
The results were as follows with
C indicating car
B indicating Bus
Bk indicating Bike
C
C
C
B
B
Bk
C
C
C
C
Bk
B
C
B
B
Bk
Tabulate these results in a frequency table
Vehicle
No. of People
(ii)
Car
Bus
Bike
Draw a Bar Chart to represent this information
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
(iii)
To represent this information, draw a Pie Chart
First find the segment angles




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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
1.
In order to determine which of these Car colours is the most popular – collect statistical
information on the first 50 qualifying cars to pass, at an appropriate location in your area.
The broad colour ranges for consideration are –
Red - Include all tones
White - Include all tones
Black - Include all tones
Blue - Include all tones



Analyse the collected Statistical Data
Present your results in the form of a bar chart and a pie chart.
Comment on your findings.
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
Fill in the table below using the first 50 cars to pass. Use




1
2
3
4
5
6
7
8
9
10
R for Red
BL for Black
W for white
B for Blue
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
Now Tabulate the results in the below table:
Colour
Red
Black
Frequency
(i)
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
White
Blue
Represent your findings in a Bar Chart
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
(ii)
Draw a Pie Chart to represent this information
Find the segment sizes first.
Comment on your findings:
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
Title – Co-ordinate Geometry
2.
Derive and apply a function in which the input is the mass of roast beef (in Kilos) and the
output is the time (in minutes) which the roast beef should spend in the oven. The time in
the oven is 20 minutes + 45 minutes per KiloF(x) =

Generate oven times for
 3 Kilos
 5 Kilos

Apply the formula to the two weights so as to generate the recommended oven
times.
Weight
Weight
F(x) =
F(x) =
=
=
=
=

Generate two sets of ordered pairs based on (Kilo, time)

Correctly relate the Axis to actual time =
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1

Scale the above appropriately and plot the ordered pairs.
Re-tabulate for X and Y
X
Y
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
Fill in the following with your results
Weight
Oven Time
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
3.
Derive and apply the function in which the input to a machine is doubled and one
added to the resultant output.
F(x) =

Generate outputs for the inputs of –



3 and
5
Apply the formula to the two inputs so as to generate output figures.
Input of 3
Input of 5
F(x) =
F(x) =
=
=
=
=

Generate two sets of ordered pairs based on (Kilo, time)

Correctly relate Axis to actual time =
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1


Scale the above appropriately and plot the ordered pairs.
Re-tabulate for X and Y.
X
Y
Redraw on X and Y Axis
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
Fill in the following with your results.
Machine Input
Machine Output
4.
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
In order to generate recommended Home-work Study times, please survey four secondary
school going friends of different ages and complete the following data table;
First Name
Year
Devise a formula which will allow one year to be added to a student’s age and the result
divided by two.
Now, apply the formula to the four student ages so as to generate the recommended
homework times.
Name:
Name:
Name:
Name:
Generate four ordered pairs based on year and time.
Correctly relate Axis to actual time.
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1


Scale the above appropriately and plot the ordered pairs,
Re-tabulate for X and Y
X
Y
Redraw on X and Y Axis
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1

Fill in the following table with your results
Name
Year
Home-work Times.
Slope of a Line
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
Find the slope of the line which passes through these pair of points;
Slope = y2 – y1
x2 – x1
(i)
(1,2) and (3,5)
(ii)
(2,1) and (9,7)
(iii)
(1,0) and (6,2)
Angles
1. Construct an angle whose measure is 75º
2. Construct an angle whose measure is 32º
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
3. Construct an angle whose measure is 58º
4. Construct an angle whose measure is 90º
5. Construct the triangle pqr so that [pq] = 7cm, [pr] = 5cm and [qr] = 6cm
.
6. Construct the triangle abc so that [ab] = 6cm, the angle ba = 65º, and [ac] = 4cm
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
7. Construct a triangle xyz so that [xy] = 6cm, the angle yxz = 35º, and the angle xyz=70º
8. Find the area of the triangle below
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
7cm
10cm
9. The area of a triangle is 150cm2. If its base is 25cm, calculate its perpendicular height.
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
10. The area of the given square is 36cm2. Find the length of its diagonal, correct to one
decimal place.
11. Find the length of the diagonal of the rectangle below. Give your answer correct to
one decimal place.
9cm
15cm
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
12. A piece of cardboard is in the shape of the letter T as shown. Find the length of the
perimeter of the shape shown.
16cm
m
6cm
8cm
4cm
13. A piece of cardboard is in the shape of the letter T as shown. Calculate the area and
the perimeter of the shape shown.
17cm
3cm
7cm
11cm
3cm
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
14. A piece is in the shape of the letter T as shown. Calculate the area of the shape
shown.
16cm
4cm
6cm
10cm
4cm
15. A rectangular piece of card was 24cm wide and 45cm long. A square, 12cm long, and
12cm wide, was cut from one corner as shown. Calculate the length of the perimeter of
the shape shown in the diagram.
45cm
12cm
24cm
12cm
16. The garden on the right consists of a rectangular flower bed with the remainder under
the grass. Find
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
(i)
(ii)
(iii)
The area of the garden
The area of the portion of grass
The cost of re-seeding the area under grass if it costs €15.50 for every 8m
squared.
21m
13m
Flower bed
grass
15m
grass
17.
A rectangular fish tank is 1 metre long, 40cm wide and 20cm high. Find the capacity of
the tank in litres.
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
18.
A rectangular oil tank is 3m by 2m by 1m as shown. Find the cost of painting the tank if
each 1m squared cost €3.20.
1m
2m
3m
19.
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
20.
The area of a circle is ¶r². Below are three circles of the radii, 6cm, 8cm, and 10cm.
Notice that the radius of the middle circle is half the sum of the radii of the other two
circles:
6cm
8cm
10cm
(i)
Investigate if the area of the middle circle is half the sum of the areas of the
other two circles.
(ii)
Explain why the area of the largest circle is equal to the sum of the areas of
the other two circles.
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
21.
A cylindrical container is full of milk. The height of the container is 12cm and the radius
is 7cm. Find the volume of milk in the container. (¶ = 22/7)
7cm
Volume = ¶r²h
12cm
22.
Find in terms of ¶, the volume of a cone of a radius 3cm and height 5cm.
Volume = ⅓¶r²h
5cm
3cm
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Bantry
Maths Level 4
Unit 2 Finance
Worksheet 1
23.
A cone and a sphere have equal volume. The radius of the cone is 2cm and its height is
8cm. Calculate the radius of the sphere.
Volume of sphere = Volume of cone.
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