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Australian AMC 2015 - Upper Primary

Question 1

What does the digit 1 in 2015 represent?
  1. one
  2. ten
  3. one hundred
  4. one thousand
  5. ten thousand

Question 2

What is the value of 10 twenty-cent coins?
  1. \$1
  2. \$2
  3. \$5
  4. \$20
  5. \$50

Question 3

What temperature does this thermometer show?

Question illustration
  1. $25^\circ$
  2. $38^\circ$
  3. $27^\circ$
  4. $32^\circ$
  5. $28^\circ$

Question 4

Which number do you need in the box to make this number sentence true?

$$19+45=20+\boxed{\phantom{00}}$$
  1. 34
  2. 44
  3. 46
  4. 64
  5. 84

Question 5

Which number has the greatest value?
  1. 1.3
  2. 1.303
  3. 1.31
  4. 1.301
  5. 1.131

Question 6

The perimeter of a shape is the distance around the outside. Which of these shapes has the smallest perimeter?

Question illustration
  1. Figure A above
  2. Figure B above
  3. Figure C above
  4. Figure D above
  5. Figure E above

Question 7

The class were shown this picture of many dinosaurs. They were asked to work out how many there were in half of the picture.

- Simon wrote $6\times10$.
- Carrie wrote $5\times12$.
- Brian wrote $10\times12\div2$.
- Rémy wrote $10\div2\times12$.

Who was correct?

Question illustration
  1. All four were correct
  2. Only Simon
  3. Only Carrie
  4. Only Brian
  5. Only Rémy

Question 8

In the diagram, the numbers 1, 3, 5, 7 and 9 are placed in the squares so that the sum of the numbers in the row is the same as the sum of the numbers in the column.

The numbers 3 and 7 are placed as shown. What could be the sum of the row?

Question illustration
  1. 14
  2. 15
  3. 12
  4. 16
  5. 13

Question 9

To which square should I add a counter so that no two rows have the same number of counters, and no two columns have the same number of counters?

Question illustration
  1. A
  2. B
  3. C
  4. D
  5. E

Question 10

A half is one-third of a number. What is the number?
  1. three-quarters
  2. one-sixth
  3. one and a third
  4. five-sixths
  5. one and a half

Question 11

The triangle shown is folded in half three times without unfolding, making another triangle each time.

Which figure shows what the triangle looks like when unfolded?

Question illustration

Question illustration
  1. Figure A above
  2. Figure B above
  3. Figure C above
  4. Figure D above
  5. Figure E above

Question 12

If $L=100$ and $M=0.1$, which of these is largest?
  1. $L+M$
  2. $L\times M$
  3. $L\div M$
  4. $M\div L$
  5. $L-M$

Question 13

You want to combine each of the shapes (A) to (E) shown below separately with the shaded shape on the right to make a rectangle.

You are only allowed to turn and slide the shapes, not flip them over. The finished pieces will not overlap and will form a rectangle with no holes.

For which of the shapes is this not possible?

Question illustration

Question illustration
  1. Figure A above
  2. Figure B above
  3. Figure C above
  4. Figure D above
  5. Figure E above

Question 14

A plumber has 12 lengths of drain pipe to load on his ute. He knows that the pipes won’t come loose if he bundles them so that the rope around them is as short as possible. How does he bundle them?

Question illustration
  1. Figure A above
  2. Figure B above
  3. Figure C above
  4. Figure D above
  5. Figure E above

Question 15

The numbers 1 to 6 are placed in the circles so that each side of the triangle has a sum of 10. If 1 is placed in the circle shown, which number is in the shaded circle?

Question illustration
  1. 2
  2. 3
  3. 4
  4. 5
  5. 6

Question 16

Follow the instructions in this flow chart.

Question illustration
  1. 57
  2. 63
  3. 75
  4. 81
  5. 84

Question 17

A square piece of paper is folded along the dashed lines shown and then the top is cut off.

The paper is then unfolded. Which shape shows the unfolded piece?

Question illustration

Question illustration
  1. Figure A above
  2. Figure B above
  3. Figure C above
  4. Figure D above
  5. Figure E above

Question 18

Sally, Li and Raheelah have birthdays on different days in the week beginning Sunday 2 August. No two birthdays are on following days and the gap between the first and second birthday is less than the gap between the second and third. Which day is definitely not one of their birthdays?

Question illustration
  1. Monday
  2. Tuesday
  3. Wednesday
  4. Thursday
  5. Friday

Question 19

A square of side length 3 cm is placed alongside a square of side 5 cm.

What is the area, in square centimetres, of the shaded part?

Question illustration
  1. 22.5
  2. 23
  3. 23.5
  4. 24
  5. 24.5

Question 20

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?

Question illustration

Question illustration
  1. Figure A above
  2. Figure B above
  3. Figure C above
  4. Figure D above
  5. Figure E above