Upper Primary Division

Questions 1 to 10, 3 marks each

1. What does the digit 1 in 2015 represent?
(A) one (B) ten (C) one hundred (D) one thousand (E) ten thousand

2. What is the value of 10 twenty-cent coins?

(A) $1 (B) $2 (C) $5 (D) $20 (E) $50

3. What temperature does this thermometer show? ◦

C
30
(A) 25◦ (B) 38◦ (C) 27◦
25
(D) 32◦ (E) 28◦
20
15

4. Which number do you need in the box to make this number sentence
true?
19 + 45 = 20 +

(A) 34 (B) 44 (C) 46 (D) 64 (E) 84

5. Which number has the greatest value?

(A) 1.3 (B) 1.303 (C) 1.31 (D) 1.301 (E) 1.131
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6. The perimeter of a shape is the distance around the outside. Which

of these shapes has the smallest perimeter?

(A) (B) (C)

(D) (E)

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 × 10.
• Carrie wrote 5 × 12.
• Brian wrote 10×12÷2.
• Rémy wrote 10÷2×12.
Who was correct?
(A) All four were correct (B) Only Simon (C) Only Carrie
(D) Only Brian (E) Only Rémy

8. In the diagram, the numbers 1, 3, 5, 7 and 9

3
are placed in the squares so that the sum of the
numbers in the row is the same as the sum of the 7
numbers in the column.
The numbers 3 and 7 are placed as shown. What
could be the sum of the row?
(A) 14 (B) 15 (C) 12 (D) 16 (E) 13
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9. To which square should I add a counter so that

A
no two rows have the same number of counters,
and no two columns have the same number of B C
counters? D
(A) A (B) B (C) C (D) D (E) E E

10. A half is one-third of a number. What is the number?

(A) three-quarters (B) one-sixth (C) one and a third
(D) five-sixths (E) one and a half

Questions 11 to 20, 4 marks each

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?

(A) (B) (C) (D) (E)

12. If L = 100 and M = 0.1, which of these is largest?

(A) L + M (B) L × M (C) L ÷ M (D) M ÷ L (E) L − M
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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?

(A) (B) (C)

(D) (E)

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?

(A) (B) (C)

(D) (E)

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?
(A) 2 (B) 3 (C) 4
1
(D) 5 (E) 6
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16. Follow the instructions in this flow chart.

Is this Select
Start Subtract Multiply Yes
greater this
with 5 2 by 3
than 50? answer

No

(A) 57 (B) 63 (C) 75 (D) 81 (E) 84

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?

(A) (B) (C) (D) (E)

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?

(A) Monday (B) Tuesday (C) Wednesday

(D) Thursday (E) Friday
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19. A square of side length 3 cm is placed alongside a square of side 5 cm.

5 cm
3 cm

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

(A) 22.5 (B) 23 (C) 23.5 (D) 24 (E) 24.5

20. A cube has the letters A, C, M, T, H and S on its six faces. Here are
two views of this cube.

A
T

C AM
M

Which one of the following could be a third view of the same cube?
(A) T (B) (C) C (D) (E)
A T

C
M

M
H

H
T

T S
C

A S
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Questions 21 to 25, 5 marks each

21. A teacher gives each of three students Asha, Betty and Cheng a card
with a ‘secret’ number on it. Each looks at her own number but does
not know the other two numbers. Then the teacher gives them this
information.
All three numbers are different whole numbers and their sum is 13.
The product of the numbers is odd. Betty and Cheng now know
what the numbers are on the other two cards, but Asha does not have
enough information. What number is on Asha’s card?
(A) 9 (B) 7 (C) 5 (D) 3 (E) 1

22. In this multiplication, L, M and N are L L M

different digits. What is the value of × M
L + M + N? N M 5 M
(A) 13 (B) 15 (C) 16
(D) 17 (E) 20

23. A scientist was testing a piece of metal which

contains copper and zinc. He found the ratio
of metals was 2 parts copper to 3 parts zinc.
Then he melted this metal and added 120 g
of copper and 40 g of zinc into it, forming a
new piece of metal which weighs 660 g.
What is the ratio of copper and zinc in the
new metal?
(A) 1 part copper to 3 parts zinc
(B) 2 parts copper to 3 parts zinc
(C) 16 parts copper to 17 parts zinc
(D) 8 parts copper to 17 parts zinc
(E) 8 parts copper to 33 parts zinc
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24. Jason had between 50 and 200 identical square cards. He tried to
arrange them in rows of 4 but had one left over. He tried rows of 5
and then rows of 6, but each time he had one card left over. Finally, he
discovered that he could arrange them to form one large solid square.
How many cards were on each side of this square?
(A) 8 (B) 9 (C) 10 (D) 11 (E) 12

25. Eve has $400 in Australian notes in her wallet, in a mixture of 5, 10,
20 and 50 dollar notes.
As a surprise, Viv opens Eve’s wallet and replaces every note with the
next larger note. So, each $5 note is replaced by a $10 note, each $10
note is replaced by a $20 note, each $20 note is replaced by a $50 note
and each $50 note is replaced by a $100 note.
Eve discovers that she now has $900. How much of this new total is
in $50 notes?
(A) $50 (B) $100 (C) $200 (D) $300 (E) $500

For questions 26 to 30, shade the answer as a whole number

from 0 to 999 in the space provided on the answer sheet.
Question 26 is 6 marks, question 27 is 7 marks, question 28 is
8 marks, question 29 is 9 marks and question 30 is 10 marks.

26. Alex is designing a square patio, paved by

putting bricks on edge using the basketweave
pattern shown.
She has 999 bricks she can use, and designs
her patio to be as large a square as possible.
How many bricks does she use?
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27. There are many ways that you can add three different positive whole
numbers to get a total of 12. For instance, 1 + 5 + 6 = 12 is one way
but 2 + 2 + 8 = 12 is not, since 2, 2 and 8 are not all different.
If you multiply these three numbers, you get a number called the
product.
Of all the ways to do this, what is the largest possible product?

28. I have 2 watches with a 12 hour cycle. One gains 2 minutes a day and
the other loses 3 minutes a day. If I set them at the correct time, how
many days will it be before they next together tell the correct time?

29. A 3 × 2 flag is divided into six squares, as shown.

Each square is to be coloured green or blue, so
that every square shares at least one edge with
another square of the same colour.
In how many different ways can this be done?

30. The squares in a 25 × 25 grid are painted

black or white in a spiral pattern, starting
with black at the centre ∗ and spiralling
out. ∗
The diagram shows how this starts.
How many squares are painted black?