Multiple Choice

explain the answer

1. Three students shared a pizza for lunch. Jim ate one sixth, Sally ate two quartes, and Michael at one third. What fraction of the pizza was left uneaten by the students?

A) 0

B) 1/8

c) 1/6

d) 1/4

2. 4 + 2 x 6 - 3 + 4 = ?

a) 31

b) 6

c) 89

d) 11

3. A shop opens on Sunday for seven hours. Eight staff are employed to work the entire day. The base rate of pay in the shop is $22.50 per hour during the week, however on weekends the owner must pay time-and-a-half. Calculate the total cost of staff wages for Sunday.

a) $1890

b) $1260

c) $630

d) $270

4. 1.625 x 0.48 = ?

a) 78

b) 7.8

c) 0.87

d) 0.78

5. Convert 61.3% to decimal form.

a.61.3

b.6.13

c. 0.613

d.0.0613

6. A calculator retails for $154 [Including GST]. The store makes $51 profit when the calculator is sold. How much did the store pay for the calculator [excluding GST]?

a) $89 00

b) $93.64

c) $97.90

d) None of these answers are correct.

7. A store buys an Item of stock for $5000 [excluding GST). They mark the price up by 40%, and then add GST. After some months without selling, the store discounts the item by 20%. A customer offers to pay cash, and negotiates a further 10% discount on the sale price. How much cash did the customer pay?

a.$4990

b.$5040

c.$5500

d.$5544

8. Gertrude buys a second-hand violin for $1649 on eBay, and sells it at the local weekend market for $1955. Calculate her profit, as a percentage of the cost price, rounded to 2 decimal places.

a) 18.56%

b) 18.55%

c) 18.54%

d) 18.57%

9. A store purchased a vacuum from the manufacturer, and marked the price up by 60% to set a selling price. When the vacuum was sold, a 20% discount was offered to the customer as they paid cash. The customer who bought the vacuum paid the store $256. There is no GST in this question. Calculate the cost price of the vacuum.

a) $200

b) $182

c) $304

d) $160

10. A plumber purchases 60 metres of pipe that retails for $40 per metre. The plumber is entitled to a 15% discount off retail prices at this store. Calculate the total the plumber must pay [ignore GST).

a) $2040

b) $2244

c)$2760

d)$3036

11. Solve for x: Ax - 2 = 3x +1

a.X = 4

b.x = 3

c.x = 2

d.x = 1

12. A business incurs operating costs each week of $500, and pays wages each week totalling $300. Their product sells for $40 per unit, with unit materials costing $5 and packaging for each unit costing $3. How many units does the business need to sell each week in order to break even?

a) 20

b) 25

c) 30

d) 32

1. Short answer question three - 4 marks

Don runs a small business in Parramatta, with monthly costs including rent $6500, and operating costs $10,006. His business sells widgets for $10.20 each [in large quantities to retailers]. Each widget costs Don $5.61 in raw materials, and $1.99 for finishing and packaging. His annual staff salaries total $170,400.

Calculate how many widgets Don must sell each month in order to break-even. Ignore GST.

Show all workings.

2. Short answer question two - 4 marks

Solve for x and y:

4x - 3y = 10

2x + 3y = 14

Show all workings.

3. Short answer question one - 4 marks

Lara has been hired as a sales manager. Her pay agreement includes a base salary of $2740 per month, $6.90 per unit sold, and commission of 4% based on total sales (excluding GST]. If in the first mon 690 units are sold at an average price of $1694 (including GST], calculate Lara's total pay for the month.

Show all workings.