Instructions to the Candidates

INSTRUCTIONS TO THE CANDIDATES

1.  Enter your name below.

2.  Complete 3 of the 5 questions in the space provided.

3.  Use of a scientific calculator is allowed.

4.  Each question is worth 50 marks

Name: ______

Date: ______

Mathematics C10139

Section B

Question 1.

Tax Credits

Sean is a PAYE employee. His personal tax credits are €1840 per year and his PAYE credits are €1500 per year. Sean earns €2500 gross pay per month. The tax rate is 22%. He also pays PRSI on his gross wage at the rate of 8%.

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?

e)  What would John’s gross pay be for an entire year?

Question 2

a)  A man has inherited a field. The field is rectangular in shape. He wants to find out the area and perimeter of the field. What two formulae will he need to calculate these?

b)  If the field is 300m long and 125m wide, what would the area and perimeter of the field be?

c)  If the man decides to walk around the field x times every day for a week, how many times will he have walked around the field by the end of the week?

d)  The man decides to sell the field. He charges €x per 10 metres squared of land. How much money will he make if he sells the whole field to the farmer?

e)  The man bought another field, shown below. The length of the field was 10m greater than it’s width. What, in terms of x, is the perimeter of the field?

Question 3

1.  Produce a pie chart, bar chart, and trend graph for the following data:

No. of children / 25 / 35 / 15 / 5 / 20
Travel by / Cycle / Car / Bus / Walk / Train

Question 4

Derive and apply a function in which the input is the mass of chicken (in Kilos) and the output is the time (in minutes) which the chicken should spend in the oven. The time in the oven is 30 minutes + 40 minutes per Kilo-

F(x) =

·  Generate oven times for

Ø  6 Kilos

Ø  3 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 =

·  Plot the ordered pairs above

Re-tabulate for X and Y

X
Y

Fill in the following with your results

Weight / Oven Time

Question 5

a)  Construct a rectangle with sides of:

4 cm by 3 cm

b)  Construct a cube with sides of:

1. 3 cm

c)  Find the diagonal length of a rectangular playing field of 80m x 40m.

d)  Complete the following statement.

1,900 mm = ______cm = ______m

e)  Construct a circle such that:

Radius = 3cm