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Australian AMC 2013 - Middle Primary

Question 1

Ten years after the year 2013 will be
  1. 2003
  2. 2013
  3. 2014
  4. 2023
  5. 2113

Question 3

Each lap of Laura’s school running track is 400 metres long. She runs 3 laps. How far does she run?
  1. 300 m
  2. 600 m
  3. 800 m
  4. 1200 m
  5. 3000 m

Question 4

What fraction of this rectangle is shaded?

Question illustration
  1. one-fifth
  2. two-fifths
  3. two-thirds
  4. one-third
  5. three-fifths

Question 5

What is three times the difference between 9 and 3?
  1. 6
  2. 9
  3. 18
  4. 36
  5. 81

Question 6

Jenny’s hat has the words COTTON CLUB written on it. What does she see on her hat when she looks in the mirror?
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration
  5. Question illustration

Question 7

Sally is playing a board game where you throw a dice numbered from 1 to 6, move along a numbered board and then follow the instructions on each square you land on. On one turn, she throws a 6 and lands on a square which tells her to go back 4 squares. This puts her on a square which tells her to go forward 3 squares. She finishes up on square 7. What square did she start that turn on?
  1. 1
  2. 2
  3. 3
  4. 4
  5. 5

Question 8

Joel is in the centre of a maze which fills a 10-metre square. He knows he can get out of the maze if he follows the path in the spiral pattern below. The maze has exits on the boundary at A, B, C, D and E. By which exit will Joel leave the maze?

Question illustration
  1. A
  2. B
  3. C
  4. D
  5. E

Question 9

What is the difference between the largest and smallest 3-digit numbers which can be made from rearranging the 3 digit cards below?

Question illustration
  1. 198
  2. 200
  3. 202
  4. 298
  5. 302

Question 10

Brad thinks of a number, doubles it and adds 2. His result is 14. What was the number he thought of at the start?
  1. 6
  2. 7
  3. 8
  4. 12
  5. 30

Question 11

Alice has two 50c coins, three 20c coins and eight 5c coins. David has four 20c coins and six 10c coins. How much more money does Alice have than David?
  1. 40c
  2. 60c
  3. 80c
  4. \$1.40
  5. \$2.00

Question 12

Jim is one year older than his brother and one year younger than his sister. The sum of their three ages is 30. How old is his sister?
  1. 8
  2. 9
  3. 10
  4. 11
  5. 12

Question 13

Mary counts on in 3s starting at 30 whilst John counts on in 5s starting at 20. If they say each number out loud together, starting at the same time, what same number will they both say together?
  1. 30
  2. 40
  3. 45
  4. 50
  5. 60

Question 14

Given a 2-digit number, a new 3-digit number is formed by putting the digit 1 after it. The new number is
  1. the original number plus 1
  2. ten times the original number plus 1
  3. one hundred plus the original number
  4. one hundred times the original number
  5. one hundred times the original number plus 1

Question 15

How many triangles are in the following picture?

Question illustration
  1. 9
  2. 10
  3. 13
  4. 14
  5. 17

Question 16

To mix concrete you need 4 shovelfuls of sand, 2 shovelfuls of gravel and 1 shovelful of cement. If 56 shovelfuls are put into a mixer, how many would be of gravel?
  1. 7
  2. 16
  3. 20
  4. 32
  5. 40

Question 17

A train from Brisbane to Cairns leaves at 1:25 pm on Tuesday, and arrives at 7:35 pm on Wednesday. How long was the trip?
  1. 6 h 10 min
  2. 24 h 50 min
  3. 18 h 10 min
  4. 29 h 10 min
  5. 30 h 10 min

Question 18

An online poll asked the question, ‘Is Maths your favourite subject?’ The results of the poll are as follows:

6 out of every 10 voted yes.

3 out of every 10 voted no.

1 out of every 10 was undecided.

If 120 people answered yes, how many of those polled were undecided?
  1. 20
  2. 24
  3. 30
  4. 45
  5. 70

Question 19

George is planning a garden bed which is to be 1 metre wide and a whole number of metres long. It is to be surrounded by $1\text{ metre}\times1\text{ metre}$ pavers as shown in the diagrams below. As the design for the garden gets longer, the number of pavers needs to increase.

Which of the following best describes the number of pavers required for each garden bed design?

Question illustration
  1. The number of pavers needed is 8 times the length of the garden bed.
  2. The number of pavers needed is 6 times the length of the garden bed plus 2.
  3. The number of pavers needed is 4 times the length of the garden bed.
  4. The number of pavers needed is 4 times the length of the garden bed plus 2.
  5. The number of pavers needed is 2 times the length of the garden bed plus 6.

Question 20

Each triangle in the diagram is equilateral. What fraction of the largest triangle is shaded?

Question illustration
  1. $\frac14$
  2. $\frac{15}{64}$
  3. $\frac13$
  4. $\frac3{16}$
  5. $\frac7{32}$