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Australian AMC 2009 - Upper Primary

Question 1

For the number below, what number will be obtained if I double the ten-thousands digit and halve the hundreds digit?

Question illustration
  1. 28 824
  2. 44 224
  3. 44 824
  4. 14 824
  5. 28 224

Question 2

When Sam doubled a number and then added 7, it became 33. What was the original number?
  1. 8
  2. 13
  3. 16
  4. 24
  5. 26

Question 3

Which of the following is closest to 1000 seconds?
  1. 1 hour
  2. 1 day
  3. 45 minutes
  4. 30 minutes
  5. 15 minutes

Question 4

The net below is folded to form a cube. On this cube, what number is on the face opposite the number 6?

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

Question 5

What is the angle, in degrees, between the hands of a clock showing 1 : 20?

Question illustration
  1. 40
  2. 45
  3. 80
  4. 100
  5. 120

Question 6

The following shape was made from blocks that look like this.

How many blocks were used to create the shape?

Question illustration

Question illustration
  1. 12
  2. 13
  3. 14
  4. 15
  5. 16

Question 7

The cost for every 15 minutes in a car parking meter is 20c. Jake put a \$1 coin and two 20c coins into the meter at 1:15 pm. At what time did the parking meter expire?
  1. 2:30 pm
  2. 3:00 pm
  3. 2:45 pm
  4. 3:05 pm
  5. 3:15 pm

Question 8

Bill walked around this path shaped like a regular pentagon. He started at the dot and walked around clockwise.

On which section of the path was he when he had gone 65% of the way around?

Question illustration
  1. a
  2. b
  3. c
  4. d
  5. e

Question 9

Five cars were travelling at different speeds. From the following speeds, which car was travelling the fastest?
  1. 1 km per minute
  2. 30 km in 20 minutes
  3. 50 km/h
  4. 20 km in $\frac12$ hour
  5. 12 km in 15 minutes

Question 10

Some of the squares in the diagram below have been shaded.

How many more squares need to be shaded so that $\frac59$ of the diagram is shaded altogether?

Question illustration
  1. 3
  2. 5
  3. 7
  4. 8
  5. 10

Question 11

What is the area, in square centimetres, of the shape marked out on the 1-cm grid below?

Question illustration
  1. 18.5
  2. 19
  3. 19.5
  4. 20
  5. 20.5

Question 12

Ali has a bag containing 100 jelly beans. In his bag there are equal numbers of red, blue, green, yellow and brown jelly beans. If Ali closes his eyes and takes jelly beans out of the bag one by one, what is the smallest number he needs to take out to ensure he will have five of the same colour?
  1. 5
  2. 9
  3. 20
  4. 21
  5. 25

Question 13

I have \$34.20 in \$2, \$1, 50c, 20c and 10c coins and have an equal number of each coin. That number is
  1. 7
  2. 8
  3. 9
  4. 10
  5. 11

Question 14

How many triangles are there in this figure?

Question illustration
  1. 20
  2. 32
  3. 36
  4. 40
  5. 44

Question 15

The recipe for making pancakes is:

1 egg

1 cup (250 mL) milk

1 cup flour

1 teaspoon sugar

pinch of salt

This will be enough mixture to cook 12 small pancakes.

How much milk would you need to make 42 small pancakes?

Question illustration
  1. 3 cups
  2. $3\frac12$ cups
  3. 765 mL
  4. 1050 mL
  5. $5\frac14$ cups

Question 16

The ages of the three children in the Jones family add up to 14. If their ages are multiplied together, the result is 70. What is the age of the eldest child?
  1. 5
  2. 7
  3. 8
  4. 10
  5. 14

Question 17

We form a rectangle using 24 square tiles, each 1 cm by 1 cm. Which of the following, in centimetres, could not be the perimeter?
  1. 20
  2. 22
  3. 28
  4. 36
  5. 50

Question 18

Each of three coloured caps covers one of three objects. The red cap is somewhere to the left of the white cap. The coin is somewhere to the left of the bean. The green cap is somewhere to the right of the shell. The bean is somewhere to the right of the green cap. Which of the following statements is correct?
  1. The bean is under the red cap.
  2. The bean is under the green cap.
  3. The shell is under the red cap.
  4. The coin is under the white cap.
  5. The shell is under the white cap.

Question 19

In an Australian netball competition, these teams are tipped to win Round 1 by three experts:

Expert A: NSW, Queensland, WA, Tasmania

Expert B: SA, Victoria, Queensland, WA

Expert C: NSW, ACT, WA, Victoria

No one tipped the Northern Territory to win.

Which team did Victoria play?

Question illustration
  1. NSW
  2. Tasmania
  3. Queensland
  4. WA
  5. Northern Territory

Question 20

Marcello says to Aiden, “If you give me one of your pencils, I’ll have twice as many pencils as you.”

Aiden answers, “But if you give me one of yours, we’ll have the same number of pencils each.”

How many pencils does Aiden have?
  1. 1
  2. 2
  3. 3
  4. 4
  5. 5