W6 TS T3 WEEK 6 CLASSWORK 11b 11c

Charlie’s Chicken and Lentil restaurant operates in several countries, with each outlet having exactly the same items on the menu. Company policy is to charge the same basic price, measured in Bolandian dollars, for any item in any country, but this basic price is supplemented by any local taxes. In Bolandia the only tax is a general 25% tax on all restaurant food and drink, and in Charlie’s a customer pays $5.00 for a chicken burger with fries, and $2.00 for a soft drink. In Colandia the currency is the colan, and there are exactly two colans to every Bolandian dollar. There is no general tax on restaurant food but there is a special 50% tax on all soft drinks.

What would a customer in Colandia have to pay for a meal of a chicken burger with fries and a soft drink at Charlie’s?

• 12.00 colans

• 12.80 colans

• 13.50 colans

• 14.00 colans

Dave works as a salesman for the first 11 months each year and has December off as holiday. He is paid $1000 each month by his employer, with a commission that depends upon his monthly sales figures. On average he gets $1800 commission each month that he works. In December his employer just pays him his basic salary of $1000.

A new law requires employers to pay holiday pay equal to the average an employee earns when working, including commission. Dave’s employer tells him that he cannot afford to do this so must reduce Dave’s basic salary to $900 per month. Dave agrees to this new salary.

With this new deal, how much more does Dave expect to earn in a year compared with his

contract before the new law?

• $600

• $700

• $800

• $900

The game of Nudge is played with a set of 15 pieces called ‘bumps’. Some bumps weigh 15 g,

some weigh 30 g and some weigh 40 g. A full set of bumps has a total weight of 420 g and contains a different number of each type.

How many 30 g bumps are there in a full set of 15 bumps?

• 2

• 3

• 5

• 8

To get to work Kate must drive for 10 minutes to reach Newtown Station, take the next train to Central Station in the city and then walk for 20 minutes to reach her office. Whenever Kate arrives at Central Station later than usual, she takes a taxi from there to her office. The taxi takes 5 minutes to make the journey. Trains to Central Station depart every 30 minutes and Kate always plans to arrive at Newtown Station 20 minutes before her train is due to depart. This morning Kate arrived at work 15 minutes later than usual.

Which of the following would explain why Kate arrived at work 15 minutes later than usual?

• Kate arrived at Newtown Station 15 minutes later than usual

• Kate arrived at Newtown Station 45 minutes later than usual

• The train that Kate normally takes was 15 minutes late

• The train that Kate normally takes was 20 minutes late

Amy’s mother sent her to the post office to buy stamps for a letter. By the time she got there, she had forgotten how much the letter would be to post, but she was sure it was between 8¢ and 12¢ inclusive. The post office sells stamps in every single cent denomination from 3¢ to 10¢, and then

the next is 15¢.

What is the least amount that Amy could spend on stamps and still be able to cover any postage

value from 8¢ to 12¢?

• 12¢

• 15¢

• 18¢

• 21¢

Kate needs to visit her friend this weekend. Her friend has agreed to collect her from the bus station in the nearest town once she has arrived. Kate will leave her town as soon as possible after 10:00, but unfortunately she has lost the bus timetable.

Kate can only remember the following facts about the bus timetable:

• Buses leave at regular intervals.

• The time between one bus leaving and the next one is more than 30 minutes.

• The first bus leaves at some time before 09:00.

• The journey takes a total of 2 hours 25 minutes.

Knowing which departure times would allow Kate to work out the earliest time that she could

arrive at her destination?

• 10:50 and 12:00

• 10:50 and 12:35

• 12:00 and 13:10

• 12:00 and 13:45

Sharifah runs at 6 km per hour and Leillah runs at 5 km per hour. They both run anticlockwise around a circular track of length 500 metres. Leillah starts 200 metres ahead of Sharifah.

At what position around the track (measured anticlockwise) will they be when Sharifah first

overtakes Leillah?

• 100 metres from Sharifah’s start point

• 200 metres from Sharifah’s start point

• 300 metres from Sharifah’s start point

• 400 metres from Sharifah’s start point