Australian AMC 2014 - Upper Primary

What is the value of 7 + 6 + 4 + 3?

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

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?

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 |

This week at my lemonade stand I sold 29 dollars worth of lemonade, but I had spent 34 dollars on lemons and 14 dollars on sugar. My total loss for the week was

A piece of paper is cut out and labelled as shown. It is folded along the dashed lines to form an open box and placed so that the top is open. Which letter is on the bottom of the box?

Which of the following gives an odd number?

A new block of flats is being built and Trudy is buying the letterbox numbers. The letterboxes are to be labelled from 190 to 212. How many zeros will she need to buy?

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?

Given that 1001/77 = 13, what is the value of 100.1/770?

These two squares, each with a side length of 10 cm, overlap as shown in the diagram. The shape of the overlap is also a square which has an area of 16 square centimetres. In centimetres, what is the perimeter of the combined shape?

Six boys looked in the fridge and found this much leftover pizza. They shared the leftover pizza equally. How much of the whole pizza did each boy get?

Which of the shaded areas below is the largest?

A map, 40 cm wide and 20 cm high, is folded along the dashed lines indicated to form a 10 cm × 10 cm square so that it just fits in its envelope. It is then pinned to a notice board. Which one of the following could be the pattern of pinholes on the map?

Sally thinks of a number, multiplies it by 2, adds 2, divides by 2 and then subtracts 2. Her answer is 2. What was her original number?

The paint colour “Roebourne Red” is made by mixing 2 parts yellow, 5 parts red and 1 part black. If a batch of paint was made using 3 litres of yellow, how many litres of paint would be in the whole batch?

A square of paper has its corners folded in as shown to make a smaller square with an internal square, as shown on the right. What is the area of this internal square? The original square has side 10 cm and the indicated edge segment is 3 cm.

Ancient Egyptian mathematicians used fractions but only with a numerator of 1, such as 1/2, 1/7 or 1/14. They made other fractions by adding these fractions together. For example, 3/4 was written as 1/2 + 1/4. Which of the following is an Ancient Egyptian way of writing 11/16?

This symmetrical star is made up of two overlapping equilateral triangles of the same size. The area of the star is 60 square centimetres. What is the area of the shaded region in square centimetres?

In this correctly worked addition, P, Q, R and S represent different digits, and all seven digits are different. What is the sum of P, Q, R and S? The addition is 5P + QR = S43, with the digits aligned as shown.