Australian AMC 2017 - Upper Primary

Which number is 20 more than 17?

How many 200 g apple pies will weigh 4 kg?

Five dice were rolled, and the results were as shown. What fraction of the dice showed a two on top?

At the camping shop, Jane bought a rucksack for \$55 and a compass for \$20. How much change did she get from \$100?

Which of these shapes are pentagons?

Mitchell lives 4 km from school. Naomi lives 3 times as far from school as Mitchell. Olivia lives 3 km closer to school than Naomi. How far does Olivia live from school?

Helen is adding some numbers and gets the total 157. Then she realises that she has written one of the numbers as 73 rather than 37. What should the total be?

In the year 3017, the Australian Mint recycled its coins to make new coins. Each 50 c coin was cut into six triangles, six squares, and one hexagon. The triangles were each worth 3 c and the squares were each worth 4 c. How much should the value of the hexagon be to make the total still worth 50 c?

Felicity has a combination lock for her bike like the one shown. Each tumbler has the numbers 0 to 9. It clicks whenever a tumbler moves one number forward or back, including between 9 and 0. The lock starts at 9–0–4; her combination is 5–8–7. What is the least number of clicks needed?

Which number multiplied by itself is equal to 5 times 20?

Greg sees a clock in the mirror, where it looks like this. What is the actual time?

In these two number sentences, identical symbols have identical values. What is the value of the heart?

Heart + heart + heart + star = 12; star + star + star + heart = 20.

In the sum XX + XY = YXZ, each of X, Y and Z represents a different digit. Which digit does X represent?

A maths student made the pattern shown. The numbers down the sides increase by 1, and every other number is the sum of the two numbers above it. What is the sum of all the numbers on the next line?

Rows: (1, 1, 1); (2, 2, 2, 2); (3, 4, 4, 4, 3); (4, 7, 8, 8, 7, 4); (5, 11, 15, 16, 15, 11, 5).

The school bought 18 boxes of primary school paint for \$900. Each box had the same number of bottles, each worth \$2.50. How many bottles were in each box?

One year in June, there were four Wednesdays and five Tuesdays. On which day was the first of June?

What percentage of this shape is shaded?

At 10 am the school flagpole cast a shadow 6 m long. Next to the flagpole, the 0.5 m tap cast a shadow of 0.3 m. How tall is the flagpole, in metres?

This net can be folded up to make a cube. Which of the cubes labelled A–E could it make?

The area of the large rectangle is 300 square metres. It is made up of four identical smaller rectangles as shown. What is the width of one small rectangle, in metres?