Australian AMC 2015 - Junior

2015 + 201.5 equals

The value of $x$ in the diagram is

The trip to school takes 23 minutes. I need to be at school at 9:05 am. The latest I can leave home is

What is the value of 100 twenty-cent coins?

What is the area of this triangle in square centimetres?

When the bell rang, there were 3 teachers and 6 students in the classroom. Several students arrived after the bell. Once everyone had arrived, there were 4 students for every teacher. How many students arrived after the bell?

A movie lasts for $2\frac13$ hours. The movie is shown in two equal sessions.

For how many minutes does each session last?

Four unit squares are laid out in five different arrangements as shown below. Which one has the largest perimeter?

Ari, Bryce, Cy and Eric are members of our school’s basketball team. Ari is 186 cm tall. He is 14 cm taller than Bryce who in turn is 6 cm shorter than Cy. Eric is 11 cm taller than Cy.

Eric’s height is

Ana, Ben, Con, Dan and Eve are sitting around a table in that order. Ana calls out the number 1, then Ben calls out the number 2, then Con calls out the number 3, and so on. After a person calls out a number, the next person around the table calls out the next number.

Anyone who calls out a multiple of 7 must immediately leave the table.

Who is the last person remaining at the table?

$\frac5{19}$ of 38 is equal to

The diagram shows a circle and a square with the same centre.

What fraction of the circle is shaded?

In the addition below $x$, $y$ and $z$ represent three different digits.

What is the value of $x+y+z$?

A cube has the letters A, C, M, T, H and S on its six faces. Here are two views of this cube.

Which one of the following could be a third view of the same cube?

Five students are to be photographed in a row with the tallest in the centre and the shortest two at the ends. If no two students are the same height, how many different arrangements are possible?

Three boys and three girls all celebrate their birthday today, but they are each different ages. The youngest is 1 year old. The sum of the ages of the three girls is the same as the sum of the ages of the three boys. What is the smallest possible total of all six ages?

Jenna measures three sides of a rectangle and gets a total of 80 cm. Dylan measures three sides of the same rectangle and gets a total of 88 cm. What is the perimeter of the rectangle?

Jim is running five laps of the school oval. When he is $\frac34$ of the way round his fourth lap, what fraction of his run has he completed?

How many two-digit numbers have the property that the sum of the digits is a perfect square?

On this cube, opposite faces add to the same sum and all faces are prime numbers. (Note that 1 is not prime.) What is the smallest possible total of the faces which cannot be seen?