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Australian AMC 2011 - Junior

Question 1

The value of $2011-1102$ is
  1. 1111
  2. 1191
  3. 1001
  4. 989
  5. 909

Question 2

In the diagram, the value of $x$ is

Question illustration
  1. 75
  2. 80
  3. 85
  4. 90
  5. 95

Question 3

I left for a walk at 2:15 pm and returned at 3:20 pm. How long was I out walking?
  1. 50 minutes
  2. 55 minutes
  3. 60 minutes
  4. 65 minutes
  5. 70 minutes

Question 4

On this number line,

Question illustration

the point 15 units to the left of $Q$ is
  1. −10
  2. −9
  3. 0
  4. 5
  5. 10

Question 5

The value of $888-(88-8)$ is
  1. 808
  2. 880
  3. 800
  4. 792
  5. 2011

Question 6

We know that $5\times7\times11=385$. What is the value of $0.5\times0.7\times0.11$?
  1. 38.5
  2. 3.85
  3. 0.385
  4. 0.0385
  5. 0.00385

Question 7

In the diagram, lines $PT$, $QU$, $RV$ and $SW$ intersect at $O$. $\angle QOR=20^\circ$, $\angle SOT=50^\circ$ and $\angle VOW=70^\circ$. The size of $\angle POQ$ is

Question illustration
  1. $30^\circ$
  2. $40^\circ$
  3. $50^\circ$
  4. $60^\circ$
  5. $80^\circ$

Question 9

Warren reads 20 pages in 30 minutes. At this rate how long will it take him to read 66 pages?
  1. 1 hr 34 min
  2. 1 hr 36 min
  3. 1 hr 37 min
  4. 1 hr 38 min
  5. 1 hr 39 min

Question 10

Each of the following 2-digit numbers has one digit covered. Which of the five numbers is the only possible multiple of 12?

Question illustration
  1. $3\square$
  2. $\square9$
  3. $\square5$
  4. $\square3$
  5. $5\square$

Question 11

In the diagram, $ABCD$ is a square. What is the value of $x$?

Question illustration
  1. 142
  2. 128
  3. 48
  4. 104
  5. 52

Question 12

Billy counts backwards by 7, starting at 5907. When he reaches a single-digit number, he stops counting. The number he stops at is
  1. 4
  2. 6
  3. 7
  4. 8
  5. 9

Question 13

The following tile is made from three unit squares.

Question illustration

What is the area, in square units, of the smallest square which can be made from tiles of this shape?
  1. 16
  2. 25
  3. 36
  4. 64
  5. 81

Question 14

Which of the following is closest to $\dfrac{0.333}{0.222\times0.111}$?
  1. 0.01
  2. 0.1
  3. 1
  4. 10
  5. 100

Question 15

In the diagram, $PT$ divides $\angle RPQ$ in half and $SQ$ divides $\angle PQR$ in half. $\angle PRQ=60^\circ$. What is the size of $\angle SUP$?

Question illustration
  1. $75^\circ$
  2. $60^\circ$
  3. $45^\circ$
  4. $40^\circ$
  5. $30^\circ$

Question 16

The numbers on the six faces of this cube are consecutive even numbers.

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If the sums of the numbers on each of the three pairs of opposite faces are equal, find the sum of all six numbers on this cube.
  1. 196
  2. 188
  3. 210
  4. 186
  5. 198

Question 17

If $m$ and $n$ are positive whole numbers and $mn=100$, then $m+n$ cannot be equal to
  1. 25
  2. 29
  3. 50
  4. 52
  5. 101

Question 18

In the following addition, some of the digits are missing.

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The sum of the missing digits is
  1. 23
  2. 21
  3. 20
  4. 18
  5. 15

Question 19

If Peter lost 20 kg in weight he would then weigh 4 times as much as his pet wombat. Together they weigh 200 kg. How much does the wombat weigh?
  1. 30 kg
  2. 36 kg
  3. 40 kg
  4. 164 kg
  5. 170 kg

Question 20

Two tourists are walking 12 km apart along a flat track at a constant speed of 4 km/h. When each tourist reaches the slope of a mountain, he begins to climb with a constant speed of 3 km/h.

Question illustration

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What is the distance, in kilometres, between the two tourists during the climb?
  1. 16
  2. 12
  3. 10
  4. 9
  5. 8