Australian AMC 2016 - Upper Primary

Question 2

Two pizzas are sliced into quarters. How many slices will there be?

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Question 3

Join the dots P, Q, R to form the triangle PQR.

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How many dots lie inside the triangle PQR?

Question 5

Lee’s favourite chocolates are 80c each. He has five dollars to spend. How many of these chocolates can he buy?

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Question 6

Ten chairs are equally spaced around a round table. They are numbered 1 to 10 in order. Which chair is opposite chair 9?

Question 7

In a piece of music, a note like Question illustration

is worth one beat, Question illustration

is worth half a beat, Question illustration

is worth 2 beats and Question illustration

is worth 4 beats. How many beats are in the following piece of music?

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Question 8

Phoebe put her hand in her pocket and pulled out 60 cents. How many different ways could this amount be made using 10c, 20c and 50c coins?

Question 9

Which of these containers is currently holding the most water?

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Figure A above
Figure B above
Figure C above
Figure D above
Figure E above

Question 10

Which of these shapes has the most axes of symmetry (mirror lines)?

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Figure A above
Figure B above
Figure C above
Figure D above
Figure E above

Question 11

A sailor coiled a rope on his ship’s deck, and some paint was spilled across half of it. What did the rope look like when it was uncoiled?

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Figure A above
Figure B above
Figure C above
Figure D above
Figure E above

Question 12

If the area of the tangram shown is 64 square centimetres, what is the area in square centimetres of the small square?

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Question 13

For each batch of 25 biscuits, Jack uses $2\frac12$ packets of chocolate chips. How many packets does he need if he wants to bake 200 biscuits?

Question 14

Which one of the following is correct?

Two even numbers add to an odd number.
An odd number minus an odd number is always odd.
Adding 2 odd numbers and an even number is always odd.
Adding 3 odd numbers is always odd.
An odd number multiplied by an odd number always equals an even number.

The perimeter of the outer square is 36 cm, and the perimeter of the inner square is 20 cm.

If the four rectangles are all identical, what is the perimeter of the shaded rectangle in centimetres?

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Question 16

George has a new lock that opens if the four numbers 1, 2, 3 and 4 are pressed once each in the correct order.

If the first number must be larger than the second number, how many combinations are possible?

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Question 17

A straight cut is made through the hexagon shown to create two new shapes. Which of the following could not be made?

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one triangle and one hexagon
two pentagons
two quadrilaterals
one quadrilateral and one pentagon
one triangle and one quadrilateral

Question 18

The numbers 3, 9, 15, 18, 24 and 29 are divided into two groups of 3 numbers and each group is added. The difference between the two sums (totals) of 3 numbers is as small as possible. What is the smallest difference?

Question 19

Benny built a magic square using the numbers from 1 to 16, where the numbers in each row, each column and each diagonal add up to the same total.

What number does he place at the X?

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Question 20

Andy has a number of red, green and blue counters.

He places eight counters equally spaced around a circle according to the following rules:
- No two red counters will be next to each other.
- No two green counters will be diagonally opposite each other.
- As few blue counters as possible will be used.

How many blue counters will Andy need to use?

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