Australian AMC 2021 - Upper Primary

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

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

What is the perimeter of the quadrilateral shown?

Which of the following decimal numbers has the smallest value?

$\frac12+\frac24-\frac48=$

Suri has a number of 20-cent and 50-cent coins. Which of the following amounts of money is it NOT possible for her to make?

A square of paper is rolled up, pressed flat, and then cut as shown. What could the sheet of paper look like when unrolled and laid flat?

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?

Cassandra makes a healing potion from a mixture of herbs. She uses this balance to weigh out the herbs. If she uses 5 grams of fennel, how many grams of mint will she need?



Herb labels: mint, sage, thyme, fennel.

There are 14 pieces of fruit in a bowl. There are twice as many nectarines as pears, and half as many nectarines as apples. There are no other types of fruit. How many apples are there?

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?

This rectangle has been made by joining two squares together. Each square has an area of 25 cm². What is the perimeter of the rectangle?

A kangaroo is chasing a wallaby that is 42 metres ahead. For every 4-metre hop the kangaroo makes, the wallaby makes a 1-metre hop. How many hops will the kangaroo have to make to catch up with the wallaby?

A piece of straight wire is 50 cm long. Six right-angled bends are made in the wire, so that it ends up looking like the diagram shown. The lengths of two sections are shown. What is the length marked x?

Margie and Rosie both live near Lawson train station. Each plans to catch the 10 am train. Margie thinks her watch is 10 minutes fast, but in fact it is 10 minutes slow. Rosie thinks her watch is 10 minutes slow, but in fact it is 5 minutes fast. Each of them leaves home to catch the train without having to wait on the platform. Who misses the train, and by how much?

Sally was playing with block patterns and came up with this one she called Hollow Squares. They all follow the same pattern. How many blocks would she need to make Hollow Square 7?



The captions identify Hollow Squares 1, 2 and 3.

I have a jug containing 100 mL of liquid, which is half vinegar and half olive oil. How much vinegar must I add to make a mixture which is one-third olive oil?

It is 10 am now. What time will it be in 2021 hours time?

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?

Our school is organising a quiz night. They are expecting from 25 to 35 people to come. The people will be arranged in teams of 6 to 8 people. What is the range of possible numbers of teams to expect?