Question bank AMC AUSTRALIA 2015

What is the area of this triangle in square centimetres?

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

For how many minutes does each session last?

If $p=11$ and $q=-4$, then $p^2-q^2$ equals

2015 − 20.15 equals

What is the value of 2015 twenty-cent coins?

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?

On a farm the ratio of horses to cows is 3 : 2 and ratio of cows to goats is 4 : 3.

The ratio of goats to horses is

Warren the window washer starts on the 38th floor of a building that has 12 windows per floor. He washes all of the windows on each floor before moving down to the floor below. Which floor is Warren on after he has washed 141 windows?

A packet of lollies contains 5 blue lollies, 15 yellow lollies and some red lollies.

One-third of the lollies are red. What fraction of the lollies are yellow?

The diagram shows two small squares in opposite corners of a large square. The squares have sides of length 1 cm, 2 cm and 7 cm.

What is the area of the shaded pentagon?

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?

A bar-tailed godwit was recorded by satellite tag in 2007 to have flown 11 500 km in eight days.

On average, approximately how many kilometres per hour is that?

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?

Two ordinary dice are rolled. The two resulting numbers are multiplied together to create a score. The probability of rolling a score that is a multiple of six is

The diagram shows part of a tiled floor. The tiles are all squares, of seven different sizes. The smallest tile is $1\text{ cm}\times1\text{ cm}$ and the next smallest is $3\text{ cm}\times3\text{ cm}$.

What is the distance $XY$?

How many three-digit numbers have no two digits the same?

The diagram shows two weightless balance beams. Each tips as a result of an imbalance in the hanging weights. Each weight has mass X kg, Y kg or Z kg, as shown.

Which of the following lists the weights from lightest to heaviest?

A strip of paper 1 cm wide is folded 4 times to make a regular octagon as shown.

If the ends of the strip meet exactly when folded, how many centimetres long is the strip?

The country of Numismatica has six coins of the following denominations: 1 cent, 2 cents, 4 cents, 10 cents, 20 cents and 40 cents.

Using the coins in my pocket, I can pay exactly for any amount up to and including 200 cents.

What is the smallest number of coins I could have?

What fraction of the large triangle is shaded?