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Questions 1 to 10, 3 marks each
1. Which of these numbers is the largest?
(A) 132 542
(B) 132 452
(C) 135 242
(D) 32 542
(E) 35 242
2. The value of 2694 ÷ 100 is
(A) 2.694
(B) 26.94
(C) 269.40
(D) 26 940
(E) 269 400
3. A park is 40 metres long, 30 metres wide and 50 metres across
diag-onally.
... ... ... ... ... ... ...50
30
40
How many metres less is it to walk diagonally across the park rather
than around the two sides?
(A) 10
(B) 20
(C) 30
(D) 40
(E) 50
4. In the number sentence, 3 2 5 + 6 = 21, which mathematical symbol
is represented by the square?
(A) =
(B) +
(C)
−
(D)
×
(E)
÷
5. How much would you save with a supermarket ‘4 c off per litre’ petrol
voucher if you buy 30 litres of petrol?
UP 2
6. Here are three different
shapes:-Which of the shapes below cannot be obtained by a rotation, in the
plane, of one of the above shapes?
(A)
(B)
(C)
(D)
(E)
7. Erin scored 3 of her team’s 15 goals during a netball match. What
percentage of her team’s goals did Erin score?
(A) 30
(B) 25
(C) 15
(D) 20
(E) 45
8. In Alice Springs one day the temperature was −2 degrees Celsius at
6 am. At 2 pm the temperature was 10 degrees Celsius. By how many
degrees Celsius had the temperature changed?
(A) 2
(B) 6
(C) 8
(D) 10
(E) 12
9. Brett is 12 years old. Daina is half of Brett’s age. Omar is 13 years
older than Daina. How old is Omar?
... ...... ...... ...... ...... ...... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... .... ... ... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... ... .... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...... ...... ...... ...... ...... ... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... ... .... ... ... .... ... ... ... ... ... .... ... ... ... ... .... ... ... ... ... .... ... ... ... ... .... ... ... ... ... .... ... ... ... ... .... ... ...
Cycle
Bus
Car
Walk
Which statement is true?
(A) More than half the students either walk or cycle.
(B) More than half the students come to school by car.
(C) More than a quarter of the students walk to school.
(D) More than half the students either take the bus or cycle to school.
(E) More students walk to school than come by car.
Questions 11 to 20, 4 marks each
11. Henry covers his desk using 100 post-it notes. Sally’s post-it notes
are half the area of Henry’s and her desk is twice the area. How many
of Sally’s post-it notes will she need to cover her desk?
(A) 25
(B) 50
(C) 100
(D) 200
(E) 400
12. The set of scales below is in balance.
If each
... ... ... ... . .... .... . .... .... . .... .... . .... ... .... ... .... . .... ....
weighs 4 kg, how much does each
... .... .... .... .... ... ... ... .... .... .... ... .... .... .... ... .... .... .... ... .... .... .... ... .... .... .... ... .... .... .... ... .... .... .... ... .... .... .... ...weigh?
(A) 24 kg
(B) 12 kg
(C) 8 kg
(D) 4 kg
(E) 2 kg
UP 4
13. During the school’s last big football match Zac sprinted for 30% of
the time, jogged 40%, walked 10% and was off the field for the rest of
the time. If the game lasted for 50 minutes, how long did Zac spend
off the field?
(A) 20 minutes
(B) 2 minutes
(C) 10 minutes
(D) 40 minutes
(E) 5 minutes
14. Five towns are joined by a system of roads as shown.
... ... ... ...... ... ... ... ...... ...... ...... ...... ... ... ... ...... ...... ... ... ... ... ... ...... .........
•
•
•
•
•
P
Q
R
S
T
How many different ways are there of travelling from town
P to town
T if, on any particular journey, no road is used more than once and
no town is passed more than once?
(A) 4
(B) 5
(C) 6
(D) 7
(E) 8
15. Two whole numbers multiplied give a total of 60. The difference
between the numbers could be
(A) 3
(B) 5
(C) 6
(D) 8
(E) 11
16. The digits 7, 5, and 9 are written on three cards as shown.
7
5
9
Six different 3-digit numbers can be made using these three cards. If
these numbers are arranged from the smallest to the largest, in which
position is 795?
together. Sally and Anne together weigh only 53 kg. Fred and Anne
together weigh 62 kg. How much does Sally weigh?
(A) 25 kg
(B) 28 kg
(C) 34 kg
(D) 53 kg
(E) 59 kg
18. Six consecutive numbers are placed on the faces of a cube so that the
numbers on the opposite faces always add to 11. What is the largest
of these numbers?
(A) 6
(B) 8
(C) 9
(D) 10
(E) 11
19. A 3 by 3 square is made up from nine 1 by 1 squares as shown.
A straight line is drawn though the large square. What is the largest
number of small squares which the line can pass through?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
20. Mel’s crayons are red, green and blue and he has at least one green
crayon. If all of them are green except two, all of them are blue
except 2 and all are red except 2, how many crayons does Mel have?
UP 6
Questions 21 to 30, 5 marks each
21. There are five blocks of different colours
stacked on top of each other.
The red
block is above the purple block, the blue
block is underneath the orange block and
the green block is below the blue and
above the red.
Which colour is the bottom block?
(A) red
(B) green
(C) blue
(D) orange
(E) purple
22. Which of the spinners below would give a one-in-four chance of the
arrow landing in the shaded region?
(A)
...... ...... ... ... ... ... ... ... ... ... ... ... ... ... ... ... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... ... ... ... ... ... ... ... ... ... ...... ...... ...... ... ... ... ... ... ... .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. . .. .. .. .. .. .. .. . .. .. .. .. .. . .. .. . .. ... ... . .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. .. .. . .. .. .. .. . .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . ... ... ... ... ... ...(B)
...... ...... ... ... ... ... ... ... ... ... ... ... ... ... .... ... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... ... ... ... ... ... ... ... ... ... ... ...... ...... ...... ... ... ... ... ... ... ... . .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. .. .. . .. .. .. .. . .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. . .. .. .. . .. .. .... ... ... ... ... ... ...(C)
...... ...... ... ... ... ... ... ... ... ... ... ... ... ... ... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... ... ... ... ... ... ... ... ... ... . .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. . .. .. .. . .. .. .... ... . .. .. .. .. .. .. . .. .. .. . .. .. .. .. . .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. . ... ... ... ... ... ...(D)
...... ...... ... ... ... ... ... ... ... ... ... ... ... ... ... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... . .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. .. .. . .. .. .. .. . .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . ... ... ... ... ... ...(E)
...... ...... ... ... ... ... ... ... ... ... ... ... ... ... ... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... ... ... ... ... ... ... ... ... ... ... ...... ...... ... ... ... ... .. ... .. .. .. .. . .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. . .. .. .. . .. .. ... ... ... ... ... ... ... ...23. Gina has three children and one of them is a teenager. When she
multiplies her children’s ages together the result is 770. How old is
the teenager?
24. The 30 students in a class are asked about the pets they have and
the results are summarised in the graph below.
0
5
10
15
Number
of pets
birds dogs
cats other
Pets
.. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. ..One student has two pets, one student has three pets and no other
students have more than one pet. How many students have no pet
at all?
(A) 1
(B) 2
(C) 3
(D) 4
(E) None, all the students have at least one pet
25. Jim notices the odometer of his car reads 062319 km where all the
digits are different. The number of kilometres he will travel before
the digits are all different again is
(A) less than 10
(B) between 10 and 20
(C) between 20 and 25
(D) between 26 and 30
(E) greater than 30
For questions 26 to 30, shade the answer as a whole number
from 0 to 999 in the space provided on the answer sheet.
26. In the year 5 classroom, the desks are arranged in equal rows. Phil
sits at the desk that is fourth from the front and third from the back.
There are four desks on the right of Phil’s desk but only one to the
left. How many desks are there in the room?
UP 8
27. A large square contains two
small squares with areas 25
square centimetres and 4 square
centimetres.
What
is
the
perimeter, in centimetres, of the
shaded area?
.. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .28. When a maths class is split into groups of four, there are two students
left. When split into groups of 5, there is one left. There are 15 girls
in the class and a smaller number of boys. How many boys are there
in the class?
29. An apartment block has a number of square apartments and a number
of square gardens. Apartments must have at least one window, either
to the outside or to a garden. In figure 1, one apartment has a window
to an internal garden G, and ten have windows to the outside.
... ... ... ... .... . ... ... ... ... ... .... . ... ... ... ... ... .... . ... ... ... .... ... ... ... ... ... ... ... .... ... ... ... ... ... ... ... ... ... ... .... ... ... ... ... ... ...
