Australian AMC 2019 - Upper Primary

$201-9=$

A Runnyball team has 5 players. This graph shows the number of goals each player scored in a tournament. Who scored the second-highest number of goals?

Six million two hundred and three thousand and six would be written as

These cards were dropped on the table, one at a time. In which order were they dropped?

Sophia is at the corner of 1st Street and 1st Avenue. Her school is at the corner of 4th Street and 3rd Avenue. To get there, she walks

Jake is playing a card game, and these are his cards. Elena chooses one card from Jake at random. Which of the following is Elena most likely to choose?

Which 3D shape below has 5 faces and 9 edges?

We’re driving from Elizabeth to Renmark, and as we leave we see this sign. We want to stop at a town for lunch and a break, approximately halfway to Renmark. Which town is the best place to stop?

What is the difference between the heights of the two flagpoles, in metres?

Most of the numbers on this scale are missing.



Which number should be at position P?

In a game, two ten-sided dice each marked 0 to 9 are rolled and the two uppermost numbers are added. For example, with the dice as shown, $0+9=9$. How many different results can be obtained?

Every row and every column of this $3\times3$ square must contain each of the numbers 1, 2 and 3. What is the value of $N+M$?

Ada Lovelace and Charles Babbage were pioneering researchers into early mechanical computers. They were born 24 years apart.



To the nearest year, how much longer did Charles Babbage live than Ada Lovelace?

You have 12 metres of ribbon. Each decoration needs $\frac25$ of a metre of ribbon. How many decorations can you make?

Andrew and Bernadette are clearing leaves from their backyard. Bernadette can rake the backyard in 60 minutes, while Andrew can do it in 30 minutes with the vacuum setting on the leaf blower. If they work together, how many minutes will it take?

A carpet tile measures 50 cm by 50 cm. How many of these tiles would be needed to cover the floor of a room 6 m long and 4 m wide?

In how many different ways can you place the numbers 1 to 4 in these four circles so that no two consecutive numbers are side by side?

John, Chris, Anne, Holly and Mike are seated around a round table, each with a card with a number on it in front of them.



Each person can see the numbers in front of their two neighbours. Each person calls out the sum of the two numbers in front of their neighbours. John says 30, Chris says 33, Anne says 31, Holly says 38 and Mike says 36. Holly has the number 21 in front of her. What number does Anne have in front of her?

Annabel has 2 identical equilateral triangles. Each has an area of $9\text{ cm}^2$. She places one triangle on top of the other as shown to form a star, as shown. What is the area of the star in square centimetres?

Lola went on a train trip. During her journey she slept for $\frac34$ of an hour and stayed awake for $\frac34$ of the journey. How long did the trip take?