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AICE Thinking Skills Midterm Exam (Paper 1)

Answer all questions. Show your working where appropriate.

Group 1

Sally has ordered a large pizza with ham, mushrooms, onions and pepperoni.

Gary always orders a regular pizza and has as many toppings as he can afford. Today he has a maximum of $12.00 to spend.

Source 1.1

At Pandora’s Pizza Place all pizzas have the traditional cheese and tomato base and customers may add as many toppings as they wish.

The toppings available to choose from are:

chicken, garlic, ham, mushrooms, olives, onions, pepperoni, pineapple, prawns, salami, sweetcorn and tuna

| | Regular | Large | |----------------|---------|-------| | Cheese and tomato base | $6.50 | $8.50 | | Toppings | $0.80 each | $1.20 each |

Regular pizzas can only have regular size toppings and large pizzas can only have large size toppings.

Pandora’s Pizza Place menu and pricing

Question 1a

Short answer

How much will Sally pay for her pizza?

Question 1b

Short answer

How many toppings will Gary have on his pizza today?

Group 2

Sam spent $30 buying bowls. Helen spent $35 buying five bowls. Boris spent $42 buying bowls.

Source 2.1

In Jemima’s kitchen shop, blue bowls cost $8, green bowls cost $7 and yellow bowls cost $5. Jemima does not sell any other kinds of bowls and does not offer any discounts on multiple purchases.

Jemima’s kitchen shop bowl pricing

Question 2a

Short answer

State the three possible combinations of bowls which Sam could have bought.

Question 2b

Short answer

State the two possible combinations of bowls which Helen could have bought.

Question 2c

Short answer

What is the maximum number of bowls Boris could have bought?

Group 3

I bought 2 red books, 5 yellow books, 3 green books and 2 blue books and made the best possible use of the special offers.

Source 3.1

All the books on sale in the second-hand bookshop Rainbow Books are colour-coded red, yellow, green or blue, priced as follows:

  • Red books are $15 each.
  • Yellow books are $12 each.
  • Green books are $10 each.
  • Blue books are $8 each.

Last week the shop had two special offers:

  • 20% off any two books with the same colour code, bought together.
  • 50% off any three books with the same colour code, bought together.

This week the special offers are:

  • 20% off any two books with different colour codes, bought together.
  • 50% off any three books with different colour codes, bought together.

Rainbow Books pricing and special offers

Question 3a

Short answer

How much did I pay for my twelve books last week?

Question 3b

Short answer

What is the lowest amount I could have paid for my twelve books if I had bought them this week instead of last week?

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