Stage 1 Mathematical Applications

1

Stage 1 Applied Mathematics: Earning & Spending Worksheet 2

STAGE 1 MATHEMATICAL APPLICATIONS

Earning & Spending Worksheet

1Convert an annual income of $37 460 into:

(a)a monthly amount

[1]

(b)a weekly amount

[2]

(c)an hourly amount (assuming a 36-hour week)

[1]

2Convert a monthly salary of $3870 to:

(a)an annual income

[2]

(b)a weekly salary

[1]

(c)an hourly salary (for a 36-hour week)

[1]

3Emma is paid $427·60 for a 38-hour week, while Lauren gets $394·80 for a 35-hour week. Calculate which one gets the higher rate of pay per hour.

[2]

NAME:

TOTAL MARKS:/37

4Bonnie is paid $7·60 per hour at the factory. Calculate her week’s wages if she works her normal 37 hours and also works 4 hours at time and a half.

[3]

5Joshua works at a jeans factory attaching studs, and is paid on a piece work basis, earning 76¢ for each piece he makes, up to 100 pieces per day. If, however, he produces more than the 11 in a day, he gets paid 92¢ for each piece over the 100 each day.

Calculate his week’s pay when he produces:

(Remember, the pay and the bonuses are worked out on a daily basis.)

[3]

6Stephen’s hourly pay rate is $10·40, and his normal week is 38 hours. Calculate:

(a)his pay for a normal week

[1]

(b)his pay for 4 hours of overtime at double time.

[1]

(c)His holiday pay, which is 4 weeks’ worth of pay with a 17½% loading.

[2]

7Last year, Rhys worked 40 weeks at Ray Nella’s Crash Repairs. Because he was a casual worker, he did not receive any holiday pay.

His normal working week was 40 hours long, and any overtime was paid at time and a half.

Over the year, he worked a total of 44 hours overtime.

Calculate his annual income for last year.

[3]

8Matthew works as a rat-catcher at Abby Foyle’s Bakery. He is paid 65¢ for each rat caught per day, up to a maximum of 150 rats. Any rats above that amount earn him $0·75 per rat. Calculate his pay for a week when he makes the following catches:

[3]

9Adam earns $11·50 per hour washing milk-shake glasses at Wendy’s. His normal working week is a 44-hour week, consisting of 8 hours each weekday, and 8:00 to 12:00 each Saturday.

Times worked beyond these hours is paid at time and a quarter.

Calculate his pay for the week:

[3]

10Determine the time differences between (give your answers in hours and minutes):

(a)7:15am and 11:23am

[1]

(b)8:57 and 12:17pm

[1]

(c)6:39am and 3:15pm

[2]

(d)8:29 and 15: 08

[2]

(e)13:33 and 22:17

[2]