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Australian AMC 2010 - Middle Primary

Question 1

Which number is $1+10+100+1000$?
  1. 1111
  2. 11 111
  3. 1110
  4. 1010
  5. 10 111

Question 2

Which number is halfway between 600 and 700?
  1. 550
  2. 645
  3. 650
  4. 655
  5. 700

Question 3

Greg starts at the square with the symbol $\ast$ in it. He moves two squares up and one square to the right. Which symbol is in the square where he finishes?

Question illustration
  1. $\heartsuit$
  2. $\infty$
  3. $\otimes$
  4. $\triangle$
  5. $\square$

Question 4

100 people were asked to name their favourite place to visit in Australia. Their five favourite places were:

How many more people voted for Sydney Harbour Bridge than for Phillip Island?

Question illustration
  1. 40
  2. 20
  3. 10
  4. 5
  5. 7

Question 5

A water tank has 56 L of water in it. If 28 L of water are added, how much water will be in the tank?
  1. 84 L
  2. 56 L
  3. 28 L
  4. 76 L
  5. 78 L

Question 6

What is one thousand and twenty-seven in numerals?
  1. 100 027
  2. 10 027
  3. 1027
  4. 127
  5. 27

Question 7

The following tally was made by a Year 4 class about the pets they had at home.

Which one of the following statements is correct?

Question illustration
  1. There were more birds than fish.
  2. There were more dogs than cats.
  3. The class had 30 pets altogether.
  4. The least popular pet was a bird.
  5. The most popular pet was a cat.

Question 8

The midpoints of the sides of a square are joined as shown. A part of the original square is shaded as shown. What fraction of the original square is shaded?

Question illustration
  1. $\frac14$
  2. $\frac16$
  3. $\frac23$
  4. $\frac13$
  5. $\frac15$

Question 9

What change should you receive from \$5 after buying three 55c stamps?
  1. \$1.65
  2. \$2.35
  3. \$2.45
  4. \$3.35
  5. \$3.45

Question 10

Jillian is standing inside a pet shop and looking out the window shown in the diagram.

What does she see?

Question illustration
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration
  5. Question illustration

Question 11

I read my book from a quarter to ten until half past eleven. How long did I read for?
  1. 45 min
  2. 1.5 hr
  3. 1 hr 45 min
  4. 2 hr 15 min
  5. 2 hr 45 min

Question 12

Eight blocks are glued together as shown.

How many faces of these blocks are glued together?

Question illustration
  1. 7
  2. 8
  3. 10
  4. 12
  5. 18

Question 13

Mrs Conomos has 16 flowers. She wants to place the flowers in two vases so that one vase has three times as many flowers as the other. How many flowers will there be in the vase with the most flowers?
  1. 8
  2. 10
  3. 12
  4. 14
  5. 16

Question 14

The number of cars in the family of each child in a class is recorded.

Which one of the following statements is true?

Question illustration
  1. Two families have two cars each.
  2. Six families have at least two cars each.
  3. Four families have exactly one car each.
  4. Every family has at least one car.
  5. Three families have exactly two cars each.

Question 15

This is Liam’s timetable for a normal school day.

Time — Activity

9:00 am – 9:10 am — Morning assembly

9:10 am – 11:00 am — Class time

11:00 am – 11:30 am — Recess

11:30 am – 1:00 pm — Class time

1:00 pm – 1:50 pm — Lunchtime

1:50 pm – 3:00 pm — Class time

3:00 pm — Home time

How many minutes of class time does Liam have every day?

Question illustration
  1. 300
  2. 250
  3. 500
  4. 270
  5. 240

Question 16

Which three Australian banknotes would you have if you had five of each and a total of \$400?
  1. \$5, \$10, \$20
  2. \$5, \$10, \$50
  3. \$5, \$10, \$100
  4. \$5, \$20, \$50
  5. \$10, \$20, \$50

Question 17

Use the diagram to find which of the boxes is the lightest.

Question illustration
  1. a
  2. b
  3. c
  4. d
  5. e

Question 18

Winnie is in the middle of a tuckshop queue. Jacob is three behind Winnie and has four people behind him. How many people are in the tuckshop queue?
  1. 8
  2. 14
  3. 15
  4. 16
  5. 17

Question 19

The distance between fenceposts is 5 metres. What is the number of fenceposts needed to build a fence around a triangular paddock with sides 25 m, 25 m and 30 m?
  1. 13
  2. 15
  3. 16
  4. 17
  5. 19

Question 20

Harold wrote down his Personal Identification Number (PIN) but it got smudged and all he can see on his note is 35•2. He remembers that the PIN was divisible by 2 but not by 4. Which of the following could be the missing digit?
  1. 1
  2. 2
  3. 3
  4. 5
  5. 7