AMC Practice One Y9

Phoebe put her hand in her pocket and pulled out 60 cents

How many different ways could this amount be made using 10c, 20c and 50c coins?

• 2

• 3

• 4

• 5

• 6

Six friends each make a phone call to another city. The cost of each call depends on the time taken for the call as well as the distance.

From the diagram above, decide whose phone call lasts longer than Pat’s, but costs less.

• Al

• Bill

• Jo

• Mia

• Zac

In a number game, you throw 2 six-sided

dice to get 2 numbers from 1 to 6. You then choose one instruction card from the three shown below to find out what to do with the two numbers.

How many different whole number answers are possible in this game?

• 13

• 15

• 17

• 20

• 21

A 3 by 3 grid is made up from nine squares, as shown. A straight line is drawn through the grid. What is the maximum number of small squares that can be cut by the line?

• 3

• 4

• 5

• 6

• 7

A large cube is constructed from 125 smaller equal cubes.

Find the number of smaller cubes whose faces touch exactly 4 other cubes. 

• 24

• 36

• 48

• 64

• 81

I have $10 in 10-cent coins, $10 in 20-cent coins and $10 in 50-cent coins.

How many coins do I have?

• 80

• 650

• 90

• 200

• 170

The average of five numbers is 4.

Four of them are 1, 2, 3 and 4.

What is the other number?

• 6

• 7

• 8

• 9

• 10

A circular piece of paper is folded in half twice and then a cut is made as shown.

When the piece of paper is unfolded, what shape is the hole in the centre?

• Rhombus

• Trapezium

• Rectangle

• Kite

A net of a cube is shown in the diagram.

When this net is made into a cube, which letter is opposite H?

• G

• T

• P

• M

• K

The diagram shows a circle and a square with the same centre.

What fraction of the circle is shaded?

• 5/8

• 4/7

• 3/5

• 6/11

• 2/3