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Australian AMC 2008 - Upper Primary

Question 1

What is the largest 4-digit number which can be made from a selection of the following number cards if each card may be used only once?

Question illustration
  1. 4581
  2. 8542
  3. 8541
  4. 5480
  5. 8851

Question 2

What is the number represented on the number line?

Question illustration
  1. 0.3
  2. 3
  3. 13
  4. 1.03
  5. 1.3

Question 3

If 100 tickets are sold in a class raffle, how many tickets will Matthew have to buy to have a $\frac1{10}$ chance of winning?
  1. 100
  2. 1
  3. 20
  4. 10
  5. 5

Question 4

A water tank holds 7500 litres when full. How many litres does it hold when it is exactly half full?
  1. 3275
  2. 3500
  3. 4000
  4. 3750
  5. 3725

Question 5

If 1 bottle of water can fill 3 glasses, how many glasses of the same size would be filled with 7 bottles of water?
  1. 21
  2. 24
  3. 14
  4. 18
  5. 25

Question 6

The cost of petrol is 149.9 cents per litre on a Tuesday and 153.5 cents per litre the next morning. What was the increase in cents per litre overnight?
  1. 6.4
  2. 4.3
  3. 16.4
  4. 3.5
  5. 3.6

Question 7

Jill walked along a two-kilometre track. How far had she walked if she had walked $\frac34$ of the track?
  1. $1\frac12$ km
  2. 175 metres
  3. 300 metres
  4. 1750 metres
  5. 1.34 km

Question 8

Which of the following shapes could not be formed from a number of equal-sized equilateral triangles?
  1. rhombus
  2. trapezium
  3. square
  4. hexagon
  5. parallelogram

Question 9

Jenny has three boxes, each having the same number of toy cars inside. She finds two more cars down the back of the sofa. When she counts all her cars she finds that she has 17. How many cars are there in each box?
  1. 3
  2. 5
  3. 6
  4. 8
  5. 15

Question 10

In the number sentence, $40\times40=20\times20\times\square$, what number do we put in the $\square$ to make the number sentence true?

Question illustration
  1. 2
  2. 4
  3. 8
  4. 16
  5. 40

Question 11

A box holds socks which are all the same size. There are 6 white, 10 blue and 16 grey socks. What is the least number of socks I need to take out, without looking, so that I can be certain of getting a pair of matching socks?
  1. 3
  2. 4
  3. 5
  4. 6
  5. 10

Question 12

Kiesha has a fish tank which is the right size for 3 fish. A friend gave her 3 more fish and she needs to get a tank with double the volume. She could do this by buying a new tank which is:
  1. double the width and the length of the old tank
  2. double the width, length and depth of the old tank
  3. half the length and double the width and depth of the old tank
  4. half the length and double the depth of the old tank
  5. half the length and double the width of the old tank

Question 13

If Joachim has 26 m of garden fencing, how many different ways can he make a rectangular garden, using all the fencing, if each side of his garden is a whole number of metres?
  1. 8
  2. 6
  3. 4
  4. 2
  5. 1

Question 14

At half-time in a soccer match between Newcastle and Melbourne, the score was Newcastle 1, Melbourne 0. Three goals were scored in the second half. Which of the following could not be the result of the match?

Question illustration
  1. The match was drawn
  2. Newcastle won by 2 goals
  3. Melbourne won by 2 goals
  4. Newcastle won by 1 goal
  5. Newcastle won by 4 goals

Question 15

Two 1 litre jugs are each filled with a mixture of olive oil and vinegar. The first jug has three times as much oil as vinegar and the second has four times as much oil as vinegar. They are poured into a larger container. In the new mixture, the volume of oil will be
  1. 750 mL
  2. 800 mL
  3. 1250 mL
  4. 1450 mL
  5. 1550 mL

Question 16

In a circle dance, everyone is evenly spaced around a circle and has a number in the order 1, 2, 3, 4, 5, . . . , and so on. The dancer with number 15 is directly opposite dancer number 3. How many dancers are in the circle?
  1. 18
  2. 20
  3. 22
  4. 24
  5. 26

Question 17

In the $5\times5$ square below, the numbers 1, 2, 3, 4 and 5 are to be placed in the squares so that each number appears exactly once in each row and once in each column. Some numbers have already been placed. When the square is completed, the number which is in the square marked with an X is

Question illustration
  1. 1
  2. 2
  3. 3
  4. 4
  5. 5

Question 18

The perimeter of this rectangular paddock is 700 m. It is subdivided into six identical paddocks as shown. The perimeter, in metres, of each of the six smaller paddocks is

Question illustration
  1. $116\frac13$
  2. 300
  3. 200
  4. 150
  5. 600

Question 19

You roll three regular 6-sided dice. The product of the numbers rolled is 24. What is the maximum possible sum of three such numbers?
  1. 8
  2. 9
  3. 10
  4. 11
  5. 12

Question 20

Which of the following methods would divide seven identical loaves of bread equally between 12 hungry people?
  1. cut 5 into quarters and 2 into thirds
  2. cut 3 into thirds and 4 into quarters
  3. cut 5 into thirds and 2 into quarters
  4. cut 3 into quarters and 4 into thirds
  5. cut 5 into halves and 2 into thirds