W8 TS WEEK 8 T3 PS 11 TH

The journey from Fred’s home to his caravan is a total distance of 150 km. Fred is travelling to his caravan this weekend. He expects to be able to travel at an average speed of 90 km/h, but has decided to visit a friend who lives along his route at a point 90 km from Fred’s house. He needs to arrive at the caravan by 21:00 and will leave home at 17:00.

What is the longest amount of time that he can spend visiting his friend?

• 3 hours

• 2 hours 15 minutes

• 2 hours 20 minutes

• 2 hours 30 minutes

In Malika’s house, there is a triangular space underneath the staircase, where she wants to put up some shelves.

She considers putting up three shelves, which would divide the 2 metre height evenly into four equal gaps. She wants each shelf to be as long as possible.

What is the total length of shelving that Malika needs?

• 2.5 mts

• 2mts

• 3 mts

• 3.25 mts

In Malika’s house, there is a triangular space underneath the staircase, where she wants to put up some shelves.

She considers putting up three shelves, which would divide the 2 metre height evenly into four equal gaps. She wants each shelf to be as long as possible.

Malika looks in her garage and finds that she has 4 metres of shelving. She still wants to divide the 2 metre height evenly.

What is the maximum number of shelves that she can put up?

• 3

• 4

• 2

• 5

There are six rides at a small amusement park in Bolandia. Entry to each ride requires tokens, as shown in the following table.

Tokens cost $3 each, or can be bought in packs of 5 for $12 or packs of 10 for $20.

Jane wants to go on each ride exactly twice. What is the least possible cost?

• $75

• $80

• $85

• $90

There are six rides at a small amusement park in Bolandia. Entry to each ride requires tokens, as shown in the following table.

Tokens cost $3 each, or can be bought in packs of 5 for $12 or packs of 10 for $20.

The owners of the amusement park introduce a Family Ticket. This allows two adults to have one go on each of four different rides and for two children to have one go on each of the six different rides and for the children to have an extra go on their favourite ride. The owners will set the Price for a Family Ticket so that, whatever rides the family chooses to use it for, it would not have been cheaper to buy the tokens.

What is the maximum price that could be set for the Family Ticket?

• $95

• $100

• $110

• $115

The kitchen floor in Jasmine’s house measures 6 mt by 4 mt. She intends to tile the floor with a selection of red, blue and white tiles, each of which is 20 cm by 20 cm. Katie and Lucy both have floors which are identical in size and shape to Jasmine’s floor. They will both use the same type of tiles on their floors.

Jasmine uses red, blue and white tiles in the ratio 4 : 5 : 1.

Katie uses red and white tiles only, with half as many red tiles as white tiles.

Lucy uses red and blue tiles only, with three times as many blue tiles as red tiles.

Jasmine, Katie and Lucy decide to buy all the tiles that they need together.

What is the difference between the total number of white tiles and the total number of red tiles that are needed?

• 120

• 125

• 130

• 135