Mathematics (Syllabus D) 4024/21 — October/November 2022

Abid works in an office for 5 days each week.
Each day he works from 0815 until 1240 and then from 1330 until 1700.

Work out the total time Abid works in one week.
Give your answer in hours and minutes.

______ hours ______ minutes

Abid earns $14.20 per hour.
He is given a pay increase of 5%.

Calculate the amount Abid earns per hour after the increase.

$ ______

Each month Abid divides his earnings between rent, bills and savings.
He uses 20% of his earnings for rent.
He uses $\frac{3}{8}$ of his earnings for bills.
The rest of his earnings are savings.

Find the ratio rent : bills : savings.
Give your answer in its simplest form.

______ : ______ : ______

Abid invests $2400 in a savings account for 4 years.
The account pays simple interest at a rate of $r$% per year.
At the end of 4 years he receives a total of $153.60 in interest.

Calculate the value of $r$.

$r$ = ______

Abid invests some money in a different savings account.
This account pays compound interest at a rate of 1.4% per year.
At the end of 5 years there is $1822.38 in the account.

Calculate the amount of money Abid invests in this account.

$ ______