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Australian AMC 2020 - Upper Primary

Question 1

How many pieces have been placed in the jigsaw puzzle so far?

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  1. 25
  2. 27
  3. 30
  4. 33
  5. 35

Question 3

What is the perimeter of this triangle?

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  1. 33 m
  2. 34 m
  3. 35 m
  4. 36 m
  5. 37 m

Question 4

Which fraction is the largest?
  1. one-half
  2. one-quarter
  3. one-third
  4. three-quarters
  5. six-tenths

Question 5

A protractor is used to measure angle $PXQ$. The angle is

Question illustration
  1. $45^\circ$
  2. $55^\circ$
  3. $135^\circ$
  4. $145^\circ$
  5. $180^\circ$

Question 6

Some friends are walking to a lake in the mountains. First they climb a hill before they walk down to the lake. Which graph most accurately represents their journey?

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

Question 8

The graph shows the number of eggs laid by backyard chickens Nony and Cera for the first six months of the year.

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In how many months did Nony lay more eggs than Cera?
  1. 1
  2. 2
  3. 3
  4. 4
  5. 5

Question 9

A class of 24 students, all of different heights, is standing in a line from tallest to shortest. Mary is the 8th tallest and John is the 6th shortest. How many students are standing between them in the line?
  1. 6
  2. 7
  3. 8
  4. 9
  5. 10

Question 10

Maria divided a rectangle into a number of identical squares and coloured some of them in, as shown. She wants three-quarters of the rectangle’s area to be coloured in altogether. How many more squares does she need to colour in?

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  1. 0
  2. 1
  3. 2
  4. 3
  5. 4

Question 11

At the end of a game of marbles, Lei has 15 marbles, Dora has 8 and Omar has 4. How many marbles must Lei give back to his friends if they want to start the next game with an equal number each?
  1. 5
  2. 6
  3. 7
  4. 8
  5. 9

Question 12

In the grid, the total of each row is given at the end of the row, and the total of each column is given at the bottom of the column. The value of N is

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

Question 13

At his birthday party, Ricky and his friends wear stripy paper hats in the shape of a cone, as shown on the left. After the party, Ricky makes a straight cut in one of the hats all the way up to the point at the top, as shown on the right.

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Which of the following best matches what the hat will look like when Ricky flattens it out on the table?

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

Question 14

Emma is going to write all the numbers from 1 to 50 in order. She writes 25 digits on the first line of her page. What was the last number she wrote on this line?
  1. 13
  2. 15
  3. 17
  4. 19
  5. 21

Question 15

The playing card shown is flipped over along edge b and then flipped over again along edge c. What does it look like now?

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

Question 16

Which labelled counter should you remove so that no two rows have the same number of counters and no two columns have the same number of counters?

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

Question 17

Aidan puts a range of 3D shapes on his desk at school. This is the view from his side of the desk:

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Nadia is sitting on the opposite side of the desk facing Aidan. Which of the following diagrams best represents the view from Nadia’s side of the desk?

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

Question 18

The area of each of the five equilateral triangles in the diagram is 1 square metre. What is the shaded area?

Question illustration
  1. $1.5\ \mathrm{m}^2$
  2. $2\ \mathrm{m}^2$
  3. $2.5\ \mathrm{m}^2$
  4. $3\ \mathrm{m}^2$
  5. $3.5\ \mathrm{m}^2$

Question 19

Kayla is 5 years old and Ryan is 13 years younger than Cody. One year ago, Cody’s age was twice the sum of Kayla’s and Ryan’s age. Find the sum of the three children’s current ages.
  1. 10
  2. 22
  3. 26
  4. 30
  5. 36

Question 20

Mary has a piece of paper. She folds it exactly in half. Then she folds it in half again. She finishes up with this shape.

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Which of the shapes P, Q and R shown below could have been her starting shape?

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  1. only P
  2. only Q
  3. only R
  4. only P and R
  5. all three