Australian AMC 2022 - Upper Primary

What number is two hundred and five thousand, one hundred and fifty?

What fraction of this picture is shaded?

2220 − 2022 = ?

Audrey wrote these three numbers in order from smallest to largest: 1.03, 0.08, 0.4. In which order did she write them?

Source note: option D is printed with “.008”; that original option is retained. It does not affect the correct choice.

I was 7 years old when my brother turned 3. How old will I be when he turns 7?

This shape is built from 29 squares, each 1 cm × 1 cm. What is its perimeter in centimetres?

A tachometer indicates how fast the crankshaft in a car’s engine is spinning, in thousands of revolutions per minute (rpm). What is the reading on the tachometer shown?

Joseph had a full, one litre bottle of water. He drank 320 millilitres of it. How much was left?

Which of these rectangles have an area of 24 square centimetres?

This table shows Jai’s morning routine. If he needs to be at school by 8:55 am, what is the latest time he can start his shower?

| Activity | Time taken |
|---|---|
| Shower | 15 minutes |
| Get dressed | 10 minutes |
| Have breakfast | 20 minutes |
| Brush teeth | 5 minutes |
| Walk to school | 30 minutes |

Which spinner is twice as likely to land on red as white? The original A–E spinners are shown.

Starting at 0 on the number line, Clement walks back and forth in the following pattern: 3 to the right, 2 to the left, 3 to the right, 2 to the left, and so on. How many times does he walk past the position represented by 4½?

Three digits are missing from this sum. Toby worked out the missing numbers and added them together. What was his answer?

4□ + 3□4 + □91 = 1001.

I have three cardboard shapes: a square, a circle and a triangle. I glue them on top of each other as shown in this diagram. I then flip the glued-together shapes over. What could they look like? The original A–E pictures are shown.

What is the missing number needed to make this number sentence true?

270 ÷ 45 = □ ÷ 15.

Three different squares are arranged as shown. The perimeter of the largest square is 32 centimetres. The area of the smallest square is 9 square centimetres. What is the perimeter of the medium-sized square?

Huang has a bag of marbles. Mei takes out one-third of them. Huang then takes out one-half of those left, leaving 8 marbles in the bag. How many marbles were originally in the bag?

A different positive whole number is placed at each vertex of a cube. No two numbers joined by an edge of the cube can have a difference of 1. What is the smallest possible sum of the eight numbers?

George is 78 this year. He has three grandchildren: Michaela, Tom and Lucy. Michaela is 27, Tom is 23 and Lucy is 16. After how many years will George’s age be equal to the sum of his grandchildren’s ages?

Ms Graham asked each student in her Year 5 class how many television sets they each have. This graph shows the results. How many television sets do the students have altogether?