Australian AMC 2012 - Upper Primary

What is the value of $101-2+1+102$?

Mary’s soccer team wins a game by two goals. Between them the two teams scored 8 goals. How many goals did Mary’s team score?

Which of these spinners would be more likely to spin a rabbit?

A small can of lemonade holds 250 mL. How many of these cans would fill a 1.5 L jug?

Which of the following numbers has a value between $\frac15$ and $\frac14$?

The first time Bill looked at the clock it was 2.00 pm. Later that afternoon he saw it was 4.00 pm. Through how many degrees had the minute hand turned in this time?

Mary colours in a honeycomb tessellation of hexagons. If hexagons share a common edge, she paints them in different colours.

What is the smallest number of colours she needs?

After half an hour Maya notices that she is one-third of the way through her homework questions. If she keeps working at a similar rate, how much longer, in minutes, can she expect her homework to take?

Sentries marked $S$ guard the rows and columns they are on. Sentries marked $T$ guard diagonally.

How many squares are unguarded?

A rectangular rug is 3 times as long as it is wide. If it were 3 m shorter and 3 m wider it would be a square. How long, in metres, is the rug?

Lee’s mobile phone gives him a warning that only 20% of the battery charge remains. If it is 48 hours since he last charged his phone and he uses the phone in the same way, how much longer, in hours, can he expect to use the phone before it runs out of battery life?

Michael threw 8 darts at the dartboard shown.

All eight darts hit the dartboard. Which of the following could have been his total score?

A prime number is called a jillyprime when doubling it and adding 1 results in another prime. How many numbers less than 15 are jillyprimes? (Note that 1 is not a prime.)

The square $PQRS$ is made up of 36 squares with side length one unit. The square $JKLM$ is drawn as shown.

What is the area, in square units, of $JKLM$?

Following a recipe, Shane roasts a chicken for 20 minutes and then a further 30 minutes for each 500 g. How many minutes does it take Shane to cook a 1.75 kg chicken?

Alex placed 9 number cards and 8 addition symbol cards on the table as shown.

Keeping the cards in the same order he decided to remove one of the addition cards to form a 2-digit number. If his new total was 99, which 2-digit number did he form?

How many different isosceles triangles can be drawn with sides that can be only 2 cm, 3 cm, 7 cm or 11 cm in length? Note that equilateral triangles are isosceles triangles.

There is a total of \$25 in \$2, \$1 and 50 c coins on a table. Peter notices that there are 20 coins altogether and that there are two more \$2 coins than \$1 coins. How many 50 c coins are there?

I can walk at 4 km/h and ride my bike at 20 km/h. I take 24 minutes less when I ride my bike to the station than when I walk. How many kilometres do I live from the station?

Jasdeep plays a game in which he has to write the numbers 1 to 6 on the faces of a cube. However, he loses a point if he puts two numbers which differ by 1 on faces which share a common edge. What is the least number of points he can lose?