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Australian AMC 2012 - Middle Primary

Question 2

The area, in square metres, of the rectangle below is

Question illustration
  1. 9
  2. 10
  3. 12
  4. 14
  5. 16

Question 3

In which order would you place the following cards to make the largest 5-digit number?

Question illustration
  1. PQR
  2. QRP
  3. QPR
  4. PRQ
  5. RQP

Question 4

What should we get if we add one tenth, one hundredth and two thousandths?
  1. 112
  2. 1.12
  3. 300
  4. 0.112
  5. 0.13

Question 5

Mary’s soccer team wins a game by two goals. Between them the two teams scored 8 goals. How many goals did Mary’s team score?
  1. 3
  2. 4
  3. 5
  4. 6
  5. 8

Question 6

Which of these spinners would be more likely to spin a rabbit?
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration
  5. Question illustration

Question 7

What is the perimeter, in metres, of the shape below?

Question illustration
  1. 9
  2. 12
  3. 15
  4. 18
  5. none of these

Question 8

The digits of 2012 can be arranged to make several 4-digit numbers (the first digit of a 4-digit number cannot be zero). The difference between the largest and the smallest of these is
  1. 2012
  2. 1202
  3. 1122
  4. 1180
  5. 1188

Question 9

Mary colours in a honeycomb tessellation of hexagons. If hexagons share a common edge, she paints them in different colours.

What is the smallest number of colours she needs?

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

Question 10

Sentries marked $S$ guard the rows and columns they are on. Sentries marked $T$ guard diagonally.

How many squares are unguarded?

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

Question 11

Sam is 12 years old and Tom is 7 years old. When the sum of their ages is 45, how old will Tom be?
  1. 15
  2. 19
  3. 20
  4. 25
  5. 27

Question 12

The net shown is folded to make a cube.

Which face is opposite the face marked O?

Question illustration
  1. J
  2. K
  3. L
  4. M
  5. N

Question 13

Three standard dice are rolled and the numbers on the top faces are added together.

How many different totals are possible?

Question illustration
  1. 15
  2. 16
  3. 18
  4. 24
  5. 36

Question 14

A garden stake is used to support a small tree. 90 cm of the stake is above the ground and one-third of the stake is below the ground. How long is the stake?
  1. 135 cm
  2. 120 cm
  3. 93 cm
  4. 90 cm
  5. 30 cm

Question 15

The square shown is a magic square. This means that the sum of all rows, columns and diagonals are the same.

What is the value of R?

Question illustration
  1. 8
  2. 9
  3. 12
  4. 13
  5. 16

Question 16

Adrian is watching a 90-minute movie. His computer indicates that the movie is seven-tenths of the way through. How long is there still to play?
  1. 25 minutes
  2. 27 minutes
  3. 37 minutes
  4. 63 minutes
  5. 90 minutes

Question 17

Michael threw 8 darts at the dartboard shown.

All eight darts hit the dartboard. Which of the following could have been his total score?

Question illustration
  1. 22
  2. 37
  3. 42
  4. 69
  5. 76

Question 18

Five students, Cam, Franco, Adrian, Trent and Xavier line up in order of age from youngest to oldest. Cam is next to Adrian in the line while Franco and Trent are not next to each other. Who cannot be in the middle of the line?
  1. Cam
  2. Franco
  3. Adrian
  4. Trent
  5. Xavier

Question 19

Alex placed 9 number cards and 8 addition symbol cards on the table as shown.

Keeping the cards in the same order he decided to remove one of the addition cards to form a 2-digit number. If his new total was 99, which 2-digit number did he form?

Question illustration
  1. 32
  2. 43
  3. 54
  4. 65
  5. 76

Question 20

Ann thinks of a two-digit number and notices that the first digit is one more than twice the second digit. How many different numbers could she have thought of?
  1. 1
  2. 2
  3. 3
  4. 5
  5. 6