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Australian AMC 2011 - Middle Primary

Question 1

Mike buys a can of 4 tennis balls for \$2. How much does each tennis ball cost?
  1. 25c
  2. 50c
  3. \$1
  4. \$4
  5. \$8

Question 2

The number 8000 is the same as
  1. 800 tens
  2. 800 units
  3. 80 tens
  4. 80 units
  5. 8 hundreds

Question 3

One side of a square is 6 cm long. What is the perimeter, in centimetres, of this square?
  1. 6
  2. 18
  3. 24
  4. 26
  5. 30

Question 4

Imagine you are standing on the square which is in column C and row 4.

What can you see directly to the east?

Question illustration
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration
  5. nothing

Question 5

What number is halfway between 103 and 113?
  1. 107
  2. 110
  3. 105
  4. 109
  5. 108

Question 6

Ben cuts three oranges into quarters for the soccer team to eat at half-time. How many quarters are there?
  1. 3
  2. 6
  3. 7
  4. 12
  5. 16

Question 7

Mrs Harris asked five of her Year 4 children to record their birthdates in a table as shown below.

Fred — 11/4/01

Sally — 1/4/01

Joe — 1/8/01

Alf — 3/2/02

Donna — 16/3/02

Which child is the eldest?

Question illustration
  1. Sally
  2. Fred
  3. Joe
  4. Alf
  5. Donna

Question 8

Gina is 11 years old and her sister Bev is 8 years old. Their mum is twice as old as the sum of their ages. How old is their mum?
  1. 3
  2. 19
  3. 27
  4. 30
  5. 38

Question 9

How many rectangles of any size are in this diagram?

Question illustration
  1. 11
  2. 10
  3. 9
  4. 8
  5. 6

Question 10

I can buy 10 L of petrol for \$15. How much do I pay for 40 L?
  1. \$40
  2. \$55
  3. \$60
  4. \$65
  5. \$80

Question 11

Which of the following is **not** a net for an open top box?
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration
  5. Question illustration

Question 12

Peter and Sue travelled from Cairns to Brisbane by aeroplane. Their flight took 130 minutes. If they left Cairns at 8:10 am, what time did they arrive in Brisbane?
  1. 10:10 am
  2. 9:40 am
  3. 10:40 am
  4. 9:30 am
  5. 10:20 am

Question 13

Which one of the following statements is true?
  1. If you add two odd numbers you always get an odd number.
  2. If you multiply two odd numbers you always get an even number.
  3. If you add an odd and an even number you always get an even number.
  4. If you multiply an odd and an even number you always get an even number.
  5. If you multiply two even numbers you always get an odd number.

Question 14

Zac bought four medium pizzas with \$20 and received \$3.60 in change. How much would two pizzas have cost him?
  1. \$4.10
  2. \$5.00
  3. \$7.20
  4. \$8.20
  5. \$10.00

Question 15

Raelene the rabbit started at the dot and travelled clockwise around the regular pentagon with equal sides.

What side was she on when she had travelled $\frac34$ of the distance around the pentagon?

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

Question 16

How many even two-digit numbers are there where the sum of the digits is 5?
  1. 0
  2. 2
  3. 3
  4. 4
  5. 5

Question 17

The diagram shows a 7-piece tangram puzzle.

What is the area, in square centimetres, of the shaded part if the whole puzzle is a square with side 8 cm?

Question illustration
  1. 2
  2. 4
  3. 6
  4. 8
  5. 10

Question 18

On a school trip, we took 6 tents for 18 students. Each tent sleeps either two or four students. How many of the tents were for two students?

**Qualification:** The checked intended answer assumes exactly 18 sleeping places, with no spare capacity. This is not explicit in the source; the solution explains the other possibilities if spare places are allowed.
  1. 1
  2. 2
  3. 3
  4. 4
  5. 5

Question 19

The annual parents’ meeting is held on the 199th day of the calendar year. In which month will the meeting be held in 2011?
  1. April
  2. May
  3. June
  4. July
  5. August

Question 20

The following tile is made from three unit squares.

What is the area, in square units, of the smallest square which can be made from tiles of this shape?

Question illustration
  1. 16
  2. 25
  3. 36
  4. 64
  5. 81