Test #2

Practical Mathematics

Test #2

This is a test assigned for the Practical Mathematics course of the Barbados Community College.

Please enter your name and e-mail address, then click 'Next' to proceed to the test.

Enter numbers only for the answers.

 

1. Lana is paid a basic wage of $350. In addition to this, she is paid 10% commission on her weekly sales. In the first week on her job Lana’s sales amounted to $1000.

(a) What was her commission for that week? [1 mark]

(b) What was her gross wage for that week? [1 mark]

2. Andrea works a 40 hour week for which she is paid $400. Last week she worked 4 hours overtime at the  double time rate and 3 hours overtime at the time-and-a half rate.

(a) What is the basic hourly rate? [1 mark]

(b) What is the double time rate? [1 mark]

(c) What is the Time and a half rate? [1 mark]

(d) What was her gross wage for that week? [3 marks]

3. In a particular week Tom receives $700 but $300 was for overtime. If he works a basic week of 40 hours and overtime is paid for at the time- and- a -half rate,

(a) What is the basic wage for Tom? [1 mark]

(b) What is the basic hourly rate? [1 mark]

(c) What is the time- and- a half rate? [1 mark]

(d) How many hours of overtime did Tom work? [1 mark]

(e) What was Tom's total hours of work for that week? [1 mark]

4. A living room suite which has a cash price of $480 may be bought on hire purchase by first making a deposit of 10% of the cash price. In addition to this, the customer is required to make 12 monthly payments of $50 each.

(a) What is the deposit? [1 mark]

(b) What is the total of the monthly payments? [1 mark]

(c) What is the hire purchase price? [1 mark]

(d) Calculate the difference between the hire purchase price and the cash price as a percentage of the cash price. [2 marks]

5. A living room suite can be bought on hire purchase by making a deposit of 10% on the cash price which is $3,000. Interest of 15% is then charged on the outstanding balance.  The balance is paid in 12 monthly installments. Calculate for the living room suite:

(a) the deposit [1 mark]

(b) the outstanding balance [1 mark]

(c) the interest on the outstanding balance [1 mark]

(d) the hire purchase price [2 marks]

(e) the monthly payment [2 marks]

6. The table below shows the monthly per unit charge for electricity used in Antigua. In addition to this charge, a monthly rental charge of $30 is to be paid and 17.5% VAT is then charged on the total bill.

Kwh usedCharge per kwh used
On the first 50 kwh of oart thereof$0.30
On the next 50 kwh of part thereof$0.60
On the amount in excess of 100 kwh$1.20

If a customer who uses 115 kwh of electricity during a particular month:

(a) What is the amount paid on the first 50 kwh? [1 mark]

(b) What is the amount paid on the next 50 kwh? [1 mark]

(c) What is the amount paid on the amount in excess of 100 kwh? [1 mark]

(d) What is the total bill before VAT? [1 mark]

(e) What is the total bill after VAT? [2 marks]

7. There are 2 options when a retailer wishes to purchase a certain chemical.

Option A

22 litres for $20

Option B

35 litres for $29

(a) How many litres per dollar do you get when option A is chosen? Give your answer to 1 decimal place. [2 marks]

How many litres per dollar do you get when option B is chosen? Give your answer to 1 decimal place. [2 marks]

(c) Which option will be the better buy? [1 mark]

Option _     (Please enter either A or B)

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