Australian AMC 2024 - Junior

Owen set the temperature dial on his oven as shown. What temperature is it set to?

If the day before yesterday was Monday, then the day after tomorrow will be

The metal in an Australian 20 cent coin is one-quarter nickel, and the rest is copper. What fraction is copper?

What is the value of $x$ in the diagram?

The value of $\dfrac{2024}{2+0+2+4}$ is

What is the difference between $3\times(4+2)$ and $(3\times4)+2$?

The area of the triangle shown is 36 m². What is the length $h$?

The average of 2024 and an unknown number is $2\frac12$. What is the unknown number?

The Balga is a grass tree found in south-western Australia. Balgas grow between 1 and 2 centimetres taller each year. Approximately how old is a Balga that is 4 metres tall?

What number must be divided by 100 to get 0.2?

What is the area of the shape drawn in the grid?

Danilo’s pasta recipe requires one 60-gram egg for each 100 grams of flour, and no other ingredients. To make 800 grams of pasta, how many eggs does he need?

We have two water tanks for bushfire emergencies. The 10 kL tank is 80% full and the 40 kL tank is 30% full. Regulations state that we must have at least 30 kL available. How much more water do we need to add to our tanks?

The isosceles triangle $ABC$ is divided into three smaller isosceles triangles as shown. What is the value, in degrees, of $\angle ABC$?

In this square, all rows and columns have the same sum. Find the average of $A$, $B$, $C$ and $D$.

Editable grid:
| A | 11 | B |
|---|---|---|
| X | 5 | Y |
| D | 7 | C |

I have a pad of 100 sticky notes. Each note is a 75 mm × 75 mm square. Using most of the pad, I completely cover all the faces of a cube. None of the notes folds over an edge of the cube. What is the largest the side length of the cube could be?

A regular hexagon made from yellow cardboard has a thick black stripe painted across it. The hexagon is cut up into six equilateral triangles and the pieces are mixed up. This diagram shows one of the pieces in its original position. The other five pieces are shown in options (A) to (E). Which piece was in the position marked with the X?

In this puzzle, the numbers from 1 to 8 are to be placed in the 8 circles. For each of the 3 squares, the sum of the 4 numbers on the corners must be 20. With 5 and 7 placed as in the diagram, what number goes in the middle circle?

A piece of wire of length 50 cm is bent into the shape shown, where each bend in the wire forms a right angle. The three internal sections of the bent wire are each the same length, $x$ cm. What is the value of $x$?

A three-digit number has all digits nonzero. These digits are multiplied together and then this product is subtracted from the original number. What is the largest possible value of this difference?