Australian AMC 2014 - Middle Primary

8 + 4 = ?

Today is Thursday. What day will it be in 10 days time?

Simon has a collection of 27 toy cars. He wants to put them into groups of 3 cars. How many groups will he have?

I have a 10-dollar note and an ice-cream costs 2.20 dollars. What is the greatest number of ice-creams I can buy?

Which one of the following shapes has a line of symmetry? The five options are shown in the original diagram.

Bill types a number into his calculator so that upside down, it looks like BILL. What is the number?

Tom wasn’t feeling well. His doctor read his temperature at 1.8°C above normal, which is usually 37°C. What, in degrees Celsius, was Tom’s temperature?

Which shape can make a pyramid if you fold along the dotted lines?

The chairs on the main ski lift at Thredbo are numbered from 26 to 100. How many such chairs are there?

Cecily is 10 years older than Naida. Naida is 6 years younger than Joycelyn. If Cecily is now 42, how old is Joycelyn?

Stuart and Susan are brother and sister. She says “I have a sister” and he says “I have a brother”. What is the smallest possible number of children in their family?

The year 5 students at my local school were surveyed to find which one of the four teams in the local football competition they followed. How many more students followed the most popular team than followed the least popular team?

| Team | Followers |
| --- | --- |
| Butcherbirds | 8 |
| Gang-gangs | 6 |
| Lorikeets | 2 |
| Rosellas | 4 |

Lesley needs to catch the school bus at 7:30 am on school mornings. She takes 25 minutes to get ready and 10 minutes to walk to the bus stop from home. In order to catch the bus, what is the latest time she can get up?

A square of paper is folded in half to make a triangle, then in half to make a smaller triangle, then in half again to make an even smaller triangle. How many layers of paper are in the final triangle?

This 4 × 4 square grid can be covered by three shapes made from 1 × 1 squares. None of the shapes overlap. If two of the shapes are the S and L shown, which option is the third shape?

Miranda ties two ribbons in her hair each day before school. She can choose from her school’s colours of red, blue and white. She has a bag of school ribbons with at least four of each colour in it. Without looking, she pulls out some ribbons. How many must she pull out to be sure of a pair of the same colour?

Four rectangles, each 100 cm long and 20 cm wide, are arranged around a square without overlapping, as shown. How long is each side of the middle square?

In this diagram, when you multiply the two numbers in the circles you get the same answer as when you multiply the two numbers in the squares. What is the missing number?

Li has some small tiles, each 3 cm by 2 cm, which he puts together without overlapping to make a filled-in square. What is the smallest number of these tiles for which this can be done?

A party game played with a six-sided die is fair if the chance of winning is equal to the chance of losing each time the die is rolled. Which one of these games is fair?