Australian AMC 2018 - Junior

What is $2+0+1+8$?

Callie has \$47 and then gets \$25 for her birthday. How much does she have now?

The value of $4\times10000+3\times1000+2\times10+4\times1$ is

Kate made this necklace from alphabet beads.



She put it on the wrong way around, showing the back of the beads. What does this look like?

What is the time 58 minutes before 5.34 pm?

What value is indicated on this charisma-meter?

Starting at 1000, Ishrak counted backwards, taking 7 off each time. What was the last positive number he counted?

What is the value of $z$?

Five friends (Amelia, Billie, Charlie, David and Emily) are playing together and decide to line up from oldest to youngest.

- Amelia is older than Billie who is older than Emily.
- David is also older than Billie.
- Amelia is not the oldest.
- Emily is not the youngest.

Who is the second-youngest of the five friends?

A length of ribbon is cut into two equal pieces. After using one piece, one-third of the other piece is used, leaving 12 cm of ribbon. How long, in centimetres, was the ribbon initially?

1000% of a number is 100. What is the number?

Nora, Anne, Warren and Andrew bought plastic capital letters to spell each of their names on their birthday cakes. Their birthdays are on different dates, so they planned to reuse letters on different cakes.

What is the smallest number of letters they needed?

The cost of feeding four dogs for three days is \$60. Using the same food costs per dog per day, what would be the cost of feeding seven dogs for seven days?

What fraction of this regular hexagon is shaded?

Leila has a number of identical square tiles that she puts together edge to edge in a single row, making a rectangle. The perimeter of this rectangle is three times that of a single tile. How many tiles does she have?

James is choosing his language electives for next year. He has to choose two different electives, one from Group A and one from Group B.



How many different pairs of elective combinations are possible?

In the diagram, $ABCD$ is a $5\text{ cm}\times4\text{ cm}$ rectangle and the grid has $1\text{ cm}\times1\text{ cm}$ squares. What is the shaded area, in square centimetres?

Fill in this diagram so that each of the rows, columns and diagonals adds to 18.

What is the sum of all the corner numbers?

A square of paper is folded along a line that joins the midpoint of one side to a corner. The bottom layer of paper is then cut along the edges of the top layer as shown.



When the folded piece is unfolded, which of the following describes all the pieces of paper?

A 3-dimensional object is formed by gluing six identical cubes together. Four of the diagrams below show this object viewed from different angles, but one diagram shows a different object. Which diagram shows the different object?