Australian AMC 2023 - Upper Primary

This shape is made from 7 squares, each 1 cm by 1 cm. What is its perimeter?

There are five shapes here. How many are quadrilaterals?

In a board game, Nik rolls three standard dice, one at a time. He needs his three rolls to add to 12. His first two dice rolls are 5 and 3. What does he need his third roll to be?

In this diagram, how many of the small squares need to be shaded for the large rectangle to be one-quarter shaded?

Petra left for school at 8:51 am. She got to school at 9:09 am. How long did it take Petra to get to school?

Which letter marks where 25 is on this number line?

This bottle holds 4 glasses of water. Which one of the following holds the most water?

Two pizzas are shared equally between 3 students. What fraction of a whole pizza does each student get?

A piece of card is cut out and labelled as shown in the diagram. It is folded along the dotted lines to make a box without a top. Which letter is on the bottom of the box?

Doughnuts come in bags of 3 and boxes of 8. I bought exactly 25 doughnuts for my party. What do I get when I add the number of boxes I bought and the number of bags I bought?

This line graph shows the temperature each hour during a day. Roughly for how long was the temperature above 20°C?

VIV takes her three children, HANNAH, OTTO and IZZI, out shopping. Each is wearing a t-shirt with their name on the front in capital letters. When they stand in front of the shop mirror, which names appear the same in the reflection as on the shirts?

This regular hexagon has angles of 120° and the square has angles of 90°. What is the angle x° in the diagram?

Syed’s mother had some money to share with her family. She gave one-quarter of her money to Syed. Then she gave one-third of what was left to Ahmed. Then she gave one-half of what was left to Raiyan. She was left with 15 dollars, which she kept for herself. How much money did Syed’s mother have to start with?

The rectangle shown has a side length of 9 cm. It is divided into 3 identical rectangles as shown. What is the area, in square centimetres, of the original rectangle?

This diagram shows a rectangle with a perimeter of 30 cm. It has been divided by 2 lines into 4 small rectangles. Three of the small rectangles have the perimeters shown. What is the perimeter of the fourth small rectangle?

There are 10 questions in a test. Each correct answer scores 5 points, each wrong answer loses 3 points, and if a question is left blank it scores 0 points. Tycho did this test and scored 27 points. How many questions did Tycho leave blank?

Estelle is making decorations shaped like the 8-pointed star shown. She folds a square of paper to make a triangle with 8 layers as shown. How could she cut the triangle so that the unfolded shape is the star?

Earlier this year Ben said, “Next year I will turn 13, but 2 days ago I was 10.” Ben’s birthday is on which date?

Peyton, Luka and Dan have 180 stickers in total. Peyton has half as many stickers as Luka. Dan has three times as many as Luka. How many stickers does Peyton have?