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Australian AMC 2011 - Upper Primary

Question 1

Which of the following numbers has the same value as 152 hundredths?
  1. 1520
  2. 152
  3. 15.2
  4. 1.52
  5. 0.152

Question 2

The value of $1+10+10\times10+10\times10\times10$ is
  1. 1010
  2. 10 111
  3. 1111
  4. 1110
  5. 11 111

Question 3

Mike buys a can of 5 tennis balls for \$2.50. How much would three balls cost?
  1. 90c
  2. \$1.50
  3. \$1.80
  4. \$2.40
  5. \$3

Question 4

Auckland’s time zone is two hours ahead of Melbourne’s. What time is it in Auckland when it is 2 am in Melbourne?
  1. 4 am
  2. midnight
  3. 6 pm
  4. 6 am
  5. 8 am

Question 5

How many rectangles of any size are in this diagram?

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

Question 6

School shirts are on sale for 25% off the usual price. Bethany buys a shirt on sale for \$6.00. How much did she save?
  1. \$4.50
  2. \$2.00
  3. \$1.50
  4. \$3.00
  5. \$4.00

Question 7

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 8

Which of the following 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 9

The temperature on a winter’s day was recorded in degrees Celsius every hour from 7 am to 12 noon as shown on the graph.

What was the difference, in degrees Celsius, between the temperature recorded at 9 am and at 11 am?

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

Question 10

A notice in an elevator states that 13 persons or 1000 kg is the maximum load. Which of the following is the closest to the average body mass that the manufacturer used for one person?
  1. 13 kg
  2. 50 kg
  3. 80 kg
  4. 100 kg
  5. 130 kg

Question 11

On weekends, Fred earns money by washing cars and mowing lawns. He receives \$5 for a mow and \$9 for a car wash. Last weekend he earned \$56. Which of the following explanations is possible?
  1. 5 mows and 3 car washes
  2. 6 mows and 3 car washes
  3. 2 mows and 5 car washes
  4. 5 mows and 4 car washes
  5. 4 mows and 4 car washes

Question 12

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 13

Jennifer has made this hexagonal spinner.

If she spins it 72 times, about how many times would she expect to land on a 2?

Question illustration
  1. 6
  2. 8
  3. 10
  4. 12
  5. 24

Question 14

You are standing somewhere on the map below.

Directly to the east you see a house (Question illustration), directly to the north you see a person (Question illustration) and directly west you can see a tree (Question illustration). Which square are you standing in?

Question illustration
  1. D4
  2. F2
  3. J6
  4. G10
  5. J10

Question 15

Jim is running a two-lap race. He passes a marker on the first lap which is exactly a third of the way round the lap. What fraction of the race will be completed when he passes the same marker again?
  1. $\frac13$
  2. $\frac12$
  3. $\frac23$
  4. $\frac34$
  5. $\frac56$

Question 16

Bill is 2 years older than his brother Graham, who in turn is 3 years older than their twin sisters Sally and Jill. If the combined total of their ages is 40, how old is Graham?
  1. 8
  2. 9
  3. 10
  4. 11
  5. 13

Question 17

Sam draws a rectangle with sides of length 56 cm and 98 cm. Jan divides Sam’s rectangle into squares by drawing lines joining opposite sides. What is the smallest number of lines that Jan must draw?
  1. 9
  2. 10
  3. 11
  4. 13
  5. 15

Question 18

The areas of three faces of a rectangular prism are 12 square centimetres, 15 square centimetres and 20 square centimetres. What is the volume, in cubic centimetres, of the rectangular prism?

Question illustration
  1. 30
  2. 48
  3. 56
  4. 60
  5. 72

Question 19

Tony has an 8 cm by 12 cm paper rectangle. He folds it in half three times, each time making a smaller rectangle. What is the smallest possible perimeter of the rectangle after the third fold?
  1. 24 cm
  2. 16 cm
  3. 14 cm
  4. 12 cm
  5. 10 cm

Question 20

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

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.

Question illustration
  1. 196
  2. 188
  3. 210
  4. 186
  5. 198