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Australian AMC 2015 - Middle Primary

Question 1

How many dots are on the plate?

Question illustration
  1. 10
  2. 12
  3. 13
  4. 14
  5. 15

Question 2

Jill had 15 grapes. She ate 5. How many are left?
  1. 7
  2. 8
  3. 9
  4. 10
  5. 11

Question 3

This grid gives the position of different shapes. For example, a $\diamond$ is in position B4.

Which shape is in position D2?

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 4

What fraction of this shape is shaded?

Question illustration
  1. $\frac12$
  2. $\frac13$
  3. $\frac14$
  4. $\frac15$
  5. $\frac16$

Question 5

On this spinner, which shape are you most likely to spin?

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 6

What time is shown on this clock?

Question illustration
  1. twelve o’clock
  2. a quarter to nine
  3. a quarter past three
  4. a quarter past twelve
  5. three o’clock

Question 7

The graph below shows the number of pets owned by the students in a Year 4 class.

How many pets does this class have altogether?

Question illustration
  1. 24
  2. 22
  3. 21
  4. 14
  5. 4

Question 8

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 9

How many 2 by 1 rectangles will fit exactly into an 8 by 7 rectangle?

Question illustration
  1. 14
  2. 28
  3. 36
  4. 56
  5. 63

Question 10

Five swimmers were in a 50 m race. The time each swimmer took to finish the race is shown in this graph. Who won the race?

Question illustration
  1. George
  2. Ethan
  3. Franco
  4. Henry
  5. Ivan

Question 11

Cianna is stringing beads for a necklace, starting with two round beads, then a square bead, and then repeating this pattern of three beads.

She finished her necklace with a round bead, which happens to be the 18th round bead. How many square beads are on her necklace?

Question illustration
  1. 10
  2. 12
  3. 18
  4. 6
  5. 8

Question 12

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 13

When complete, each row, column and diagonal in this diagram has a sum of 15. What is the sum of the numbers in the shaded squares?

Question illustration
  1. 20
  2. 25
  3. 27
  4. 30
  5. 45

Question 14

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 15

John wrote his name on his book. Martha said he wrote with a black pen. Aaron said it was a brown pencil. Frankie said it was a black crayon. If each of John’s friends were half right, what did he really use to write his name?
  1. a brown pen
  2. a brown crayon
  3. a brown pencil
  4. a black pen
  5. a black pencil

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

Rod had fewer than 100 blocks. When he made five equal rows, he had one block left over. With four equal rows, he had one block left over. With nine equal rows, there were no blocks left over. How many blocks did he have?
  1. 18
  2. 49
  3. 81
  4. 91
  5. 99

Question 19

Simon has some 24 cm long strips. Each strip is made from a different number of equal-sized tiles.

Simon took 1 tile from each strip to make a new strip. How long is the new strip?

Question illustration
  1. 18 cm
  2. 20 cm
  3. 23 cm
  4. 24 cm
  5. 33 cm

Question 20

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