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Australian AMC 2008 - Junior

Question 1

The value of $2008+8002$ is
  1. 1010
  2. 4004
  3. 10 008
  4. 8910
  5. 10 010

Question 2

Which of the following numbers has the largest value?
  1. 2.15
  2. 2.2
  3. 2.08
  4. 2.1
  5. 2.185

Question 3

The perimeter of the figure, in centimetres, is

Question illustration
  1. 8
  2. 10
  3. 12
  4. 16
  5. 20

Question 4

One half of $199\frac12$ is
  1. $95\frac12$
  2. $95\frac34$
  3. $99\frac14$
  4. $99\frac12$
  5. $99\frac34$

Question 6

The value of $\dfrac{200\times8}{200\div8}$ is
  1. 1
  2. 8
  3. 16
  4. 64
  5. 200

Question 7

How many squares of any size are there in the diagram?

Question illustration
  1. 9
  2. 11
  3. 12
  4. 14
  5. 16

Question 8

A train left Fassifern at 8:58 am and arrived at Broadmeadow at 9:34 am on the same day. The time taken, in minutes, was
  1. 82
  2. 22
  3. 36
  4. 38
  5. 78

Question 9

The digits 5, 6, 7, 8 and 9 can be arranged to form even five-digit numbers. The tens digit in the largest of these numbers is
  1. 5
  2. 6
  3. 7
  4. 8
  5. 9

Question 10

$PQRS$ is a square and points $E$ and $F$ are outside the square so that $PQE$ and $QRF$ are equilateral triangles. The size of $\angle EQF$, in degrees, is
  1. 60
  2. 90
  3. 120
  4. 150
  5. 180

Question 11

A rectangle has an area of 72 square centimetres and the length is twice the width. The perimeter, in centimetres, of the rectangle is
  1. 34
  2. 36
  3. 42
  4. 48
  5. 54

Question 12

Marbles of three different colours are in a tin and $\frac25$ of the marbles are red, $\frac13$ are green and the remaining 12 are yellow. The number of marbles in the tin is
  1. 30
  2. 45
  3. 54
  4. 60
  5. 90

Question 13

In the diagram, triangles $PQR$ and $LMN$ are both equilateral and $\angle QSM=20^\circ$. What is the value of $x$?

Question illustration
  1. 70
  2. 80
  3. 90
  4. 100
  5. 110

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?
  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

In how many ways can 12 be written as the sum of two or more different positive whole numbers? (Changing the order of addition does not count as a different way.)
  1. 12
  2. 13
  3. 14
  4. 15
  5. 16

Question 16

How many different positive numbers are equal to the product of two odd one-digit numbers?
  1. 25
  2. 15
  3. 14
  4. 13
  5. 11

Question 17

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 18

The student lockers at Euler High School are to be numbered consecutively from 1 to 500 using plastic digits which cost 5 cents each. The total cost of all the digits will be
  1. \$25
  2. \$63.65
  3. \$69.50
  4. \$69.60
  5. \$85

Question 19

In the grid below, the squares are to be filled with the numbers 1, 2, 3 and 4 so that they appear once only in each row, each column and each diagonal.

The largest possible value of $X+Y$ is

Question illustration
  1. 4
  2. 5
  3. 6
  4. 7
  5. 8

Question 20

The average of one group of numbers is 4. A second group contains twice as many numbers and has an average of 10. The average of both groups of numbers combined is
  1. 5
  2. 6
  3. 7
  4. 8
  5. 9