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Australian AMC 2021 - Middle Primary

Question 1

How many dots are on this domino?

Question illustration
  1. 5
  2. 7
  3. 9
  4. 10
  5. 11

Question 2

What is the difference between 14 and 2?
  1. 28
  2. 16
  3. 12
  4. 10
  5. 7

Question 3

This Nigerian flag is white and green. What fraction of it is green?

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  1. one-third
  2. one-quarter
  3. one-half
  4. two-fifths
  5. two-thirds

Question 5

How many minutes are in a quarter of an hour?
  1. 4
  2. 10
  3. 15
  4. 20
  5. 40

Question 6

My tank can hold 80 kL of water. The indicator on the tank shows the water level inside the tank. Which of the following is closest to the amount of water in the tank?

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  1. 35 kL
  2. 45 kL
  3. 55 kL
  4. 65 kL
  5. 75 kL

Question 7

Which number makes this number sentence true? □ − 5 = 9

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  1. 0
  2. 4
  3. 12
  4. 9
  5. 14

Question 8

Each face of this cube is divided into 4 small squares. How many small squares are there on the outside of the cube altogether?

Question illustration
  1. 16
  2. 18
  3. 20
  4. 24
  5. 30

Question 9

A cross country track is marked out with a number of flags as shown. How many of the flags will be on the left of the runners when they pass them? The labels “start” and “finish” show the direction of running.

Question illustration
  1. 7
  2. 8
  3. 9
  4. 10
  5. 11

Question 10

Which one of these shaded areas is the largest?

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

Question 11

Leo is waiting in line at school. There are four students ahead of him and twice as many behind him. How many students are in this line?
  1. 4
  2. 8
  3. 9
  4. 12
  5. 13

Question 12

I am shuffling a deck of cards but I accidentally drop a card on the ground every now and then. After a while, I notice that I have dropped five cards. From above, the five cards look like one of the following pictures. Which picture could it be?

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

Question 13

Kayla had six apples. She cut them all into quarters and shared them equally between her three brothers and herself. How many apples do they each receive?
  1. 1
  2. 3
  3. $1\frac14$
  4. $1\frac13$
  5. $1\frac12$

Question 14

Five boxes are compared on a balance. Which of the five boxes is lightest?

Question illustration

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

Question 15

Lydia is saving for a cricket bat. The sports shop has the bat she wants for 56 dollars and her grandfather has promised to pay half the price. She has saved 16 dollars. How much more does she need to save before she can buy the bat?
  1. 4 dollars
  2. 12 dollars
  3. 20 dollars
  4. 28 dollars
  5. 36 dollars

Question 16

Five cards with digits 1, 2, 3, 4 and 9 are arranged to form the largest possible 5-digit even number. Which digit is in the tens place?

Question illustration
  1. 1
  2. 2
  3. 3
  4. 4
  5. 9

Question 17

Each letter in this grid stands for a number from 1 to 6. The numbers outside the grid are the sums of the values of all the letters in each row or column. For example, in the first column, the values of M, L, L and R add to 16. What is the value of the letter L?

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| | Column 1 | Column 2 | Column 3 | Column 4 | Row sum |
|---|---|---|---|---|---|
| Row 1 | M | M | F | F | 16 |
| Row 2 | L | H | U | H | 10 |
| Row 3 | L | F | U | H | 11 |
| Row 4 | R | R | R | H | 13 |
| Column sum | 16 | 13 | 16 | 5 | |
  1. 1
  2. 2
  3. 3
  4. 5
  5. 6

Question 18

Greg is 19 years old, Karin is 26 and Anthony is 31. In how many years from now will their ages add to 100?
  1. 6
  2. 8
  3. 16
  4. 24
  5. 26

Question 19

Mr Northrop’s class has students from Ainslie, Turner, Downer, Watson and Dickson. He made a chart showing how many live in each suburb. Unfortunately his dog tore the bottom of the chart, leaving only the last few letters of each suburb. He forgot the order of the suburbs on the chart, but he remembered that more students live in Downer than Watson. How many students live in Turner?

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The vertical axis counts students.
  1. 3
  2. 5
  3. 6
  4. 7
  5. 9

Question 20

Alexander’s pen leaked on his addition homework, covering up three of the digits in the calculation shown. How many different possibilities are there for the correct working?

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