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Australian AMC 2013 - Upper Primary

Question 1

What fraction of this rectangle is shaded?

Question illustration
  1. one-fifth
  2. two-fifths
  3. two-thirds
  4. one-third
  5. three-fifths

Question 2

Which of the following numbers is closest to zero?
  1. 0.03
  2. 0.048
  3. 0.009
  4. 0.005
  5. 0.02

Question 3

A 737 passenger aircraft has 3 seats on each side of a centre aisle in each row. It is designed to carry 150 passengers. How many rows of seats does it have?
  1. 50
  2. 37
  3. 33
  4. 32
  5. 25

Question 4

Alice has two 50c coins, three 20c coins and eight 5c coins. David has four 20c coins and six 10c coins. How much more money does Alice have than David?
  1. 40c
  2. 60c
  3. 80c
  4. \$1.40
  5. \$2.00

Question 5

What is the difference between the largest and smallest 5-digit numbers which can be made from rearranging the 5 digit cards below?

Question illustration
  1. 41 967
  2. 41 976
  3. 44 444
  4. 42 024
  5. 41 076

Question 6

At the supermarket, a regular packet of chips is 75 g. A packet of chips on special is advertised at one-third extra. How many grams does the special packet have?
  1. 50
  2. 78
  3. 100
  4. 125
  5. 150

Question 7

How many triangles are in the following picture?

Question illustration
  1. 9
  2. 10
  3. 13
  4. 14
  5. 17

Question 8

Jan doubles a number then adds two. Then she halves that number and subtracts two. Her final answer is six. What was her original number?
  1. 1
  2. 6
  3. 7
  4. 14
  5. 16

Question 9

On the number line, where should the fraction $\frac13$ be placed?

Question illustration
  1. between 0 and 0.3
  2. between 0.3 and 0.4
  3. between 0.4 and 0.7
  4. between 0.7 and 0.8
  5. between 0.8 and 1

Question 10

Each triangle in the diagram is equilateral. What fraction of the largest triangle is shaded?

Question illustration
  1. $\frac14$
  2. $\frac{15}{64}$
  3. $\frac13$
  4. $\frac3{16}$
  5. $\frac7{32}$

Question 11

In the number sentence below, three of the digits are missing, as shown by the boxes. If the number sentence is correct, what is the sum of the three missing digits?

Question illustration
  1. 7
  2. 8
  3. 10
  4. 11
  5. 17

Question 12

In the square shown, the length of the diagonal is 8 cm. What is the area of the square?

Question illustration
  1. $28\text{ cm}^2$
  2. $32\text{ cm}^2$
  3. $49\text{ cm}^2$
  4. $64\text{ cm}^2$
  5. $81\text{ cm}^2$

Question 13

A bus leaves a bus stop at 10:35 am and then stops at 4 other bus stops. If neighbouring stops are 10 minutes apart and the bus remains at each stop for 3 minutes, at what time does the bus arrive at the last stop?
  1. 11:11 am
  2. 11:14 am
  3. 11:21 am
  4. 11:24 am
  5. 11:27 am

Question 14

A muffin recipe which makes 12 muffins requires $\frac23$ of a cup of milk. How many muffins can be made using 18 cups of milk?
  1. 90
  2. 108
  3. 144
  4. 216
  5. 324

Question 15

Two identical equilateral triangles, each with an area equal to $36\text{ cm}^2$, are placed one on top of the other so that the overlap forms a regular hexagon.

Question illustration

What is the area of the hexagon?
  1. $18\text{ cm}^2$
  2. $20\text{ cm}^2$
  3. $24\text{ cm}^2$
  4. $30\text{ cm}^2$
  5. $36\text{ cm}^2$

Question 16

A ten-sided dice (numbers 0–9) and a six-sided dice (numbers 1–6) are thrown at the same time. What is the chance of displaying a total of 6?
  1. one in ten
  2. one in eight
  3. one in six
  4. one in five
  5. one in two

Question 17

Each of the faces of 2 discs has a different whole number on it. The numbers on two of the faces are shown.

Question illustration

If the discs are tossed, the possible sums of the numbers showing are 10, 11, 12 and 13. What is the product of the two numbers that are on the other side of these two discs?
  1. 24
  2. 25
  3. 30
  4. 32
  5. 35

Question 18

A school builds a raised vegetable patch in its garden by joining four panels to form an open-ended prism and filling it with soil. Each of the thin plastic panels has sides of length 40 cm and 80 cm. Jessie wants to stand the panels on their long side and Tom wants to stand them on their short side as shown.

Question illustration

Which statement is true?
  1. It is impossible to calculate the volume of soil needed to fill the vegetable patch.
  2. It is impossible to compare the volumes of soil needed to fill the vegetable patch.
  3. Both vegetable patches need the same volume of soil.
  4. Jessie’s vegetable patch needs more soil than Tom’s.
  5. Tom’s vegetable patch needs more soil than Jessie’s.

Question 19

Aditya’s dad is one year older than his mum and next year the product of his parents’ ages will be over 1000 for the first time. What is the product of their ages now?
  1. 930
  2. 961
  3. 992
  4. 995
  5. 999

Question 20

Jake and Joe wanted to buy the same magazine. Jake needed \$2.80 more to buy it, while Joe needed \$2.60 more. So they put their money together and bought the magazine. They had \$2.60 left. How much was the magazine?
  1. \$10
  2. \$9
  3. \$8
  4. \$7
  5. \$6