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Questions 1 to 10, 3 marks each
1. Which of these numbers is the smallest?
(A) 655 (B) 566 (C) 565 (D) 555 (E) 556
2. Two pizzas are sliced into quarters. How many slices will there be?
(A) 2 (B) 10 (C) 6
(D) 8 (E) 16
3. Join the dots P , Q, R to form the triangle P QR.
• • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • P Q R
How many dots lie inside the triangle P QR?
(A) 13 (B) 14 (C) 15 (D) 17 (E) 18
4. 0.3 + 0.4 is
UP 2
5. Lee’s favourite chocolates are 80c each. He has five dollars to spend. How many of these chocolates can he buy?
(A) 4 (B) 5 (C) 6 (D) 7 (E) 8
6. Ten chairs are equally spaced around a round table. They are num-bered 1 to 10 in order. Which chair is opposite chair 9?
(A) 1 (B) 2 (C) 3 (D) 4 (E) 5
7. In a piece of music, a note like is worth one beat, is worth half a beat, is worth 2 beats and is worth 4 beats. How many beats are in the following piece of music?
(A) 4 (B) 5 (C) 6 (D) 7 (E) 8
8. Phoebe put her hand in her pocket and pulled out 60 cents. How many different ways could this amount be made using 10c, 20c and 50c coins?
(A) 2 (B) 3 (C) 4 (D) 5 (E) 6
9. Which of these containers is currently holding the most water?
(A) 3000 mL (B) 1000 mL (C) 1000 mL (D) 750 mL (E) 2000 mL
10. Which of these shapes has the most axes of symmetry (mirror lines)?
(A) (B) (C)
(D) (E)
Questions 11 to 20, 4 marks each
11. A sailor coiled a rope on his ship’s deck, and some paint was spilled across half of it. What did the rope look like when it was uncoiled? (A) (B) (C) (D) (E)
12. If the area of the tangram shown is 64 square centimetres, what is the area in square centimetres of the small square?
(A) 32 (B) 24 (C) 16
(D) 8 (E) 4
13. For each batch of 25 biscuits, Jack uses 21
2 packets of chocolate chips.
How many packets does he need if he wants to bake 200 biscuits?
UP 4
14. Which one of the following is correct?
(A) Two even numbers add to an odd number.
(B) An odd number minus an odd number is always odd.
(C) Adding 2 odd numbers and an even number is always odd. (D) Adding 3 odd numbers is always odd.
(E) An odd number multiplied by an odd number always equals an even number.
15. The perimeter of the outer square is 36 cm, and the perimeter of the inner square is 20 cm. If the four rectangles are all identical, what is the perimeter of the shaded rectangle in centimetres?
(A) 12 (B) 14 (C) 24
(D) 20 (E) 18
16. George has a new lock that opens if the four numbers 1, 2, 3 and 4 are pressed once each in the correct order. If the first number must be larger than the second number, how many combinations are possible?
(A) 10 (B) 12 (C) 15 (D) 18 (E) 20 3 1 4 2
17. A straight cut is made through the hexagon shown to create two new shapes. Which of the following could not be made?
(A) one triangle and one hexagon (B) two pentagons
(C) two quadrilaterals
(D) one quadrilateral and one pentagon (E) one triangle and one quadrilateral
18. The numbers 3, 9, 15, 18, 24 and 29 are divided into two groups of 3 numbers and each group is added. The difference between the two sums (totals) of 3 numbers is as small as possible. What is the smallest difference?
(A) 0 (B) 1 (C) 2 (D) 5 (E) 8
19. Benny built a magic square using the numbers from 1 to 16, where the numbers in each row, each column and each diagonal add up to the same total.
What number does he place at the X?
(A) 16 (B) 15 (C) 17 (D) 11 (E) 14
4 1
7 12
5 10
X 13
20. Andy has a number of red, green and blue counters. He places eight counters equally spaced around a circle according to the following rules:
• No two red counters will be next to each other. • No two green counters will be diagonally
op-posite each other.
• As few blue counters as possible will be used. How many blue counters will Andy need to use?
UP 6
Questions 21 to 25, 5 marks each
21. I have five coloured discs in a pile as shown. I take the top two discs and put them on the bottom (with the red disc still on top of the blue disc).
Then I again take the top two discs and put them on the bottom.
If I do this until I have made a total of 21 moves, which disc will be on the bottom?
orange yellow
green
blue red
(A) red (B) blue (C) green (D) yellow (E) orange
22. A zoo keeper weighed some of the animals at Melbourne Zoo. He found that the lion weighs 90 kg more than the leopard, and the tiger weighs 50 kg less than the lion. Altogether the three animals weigh 310 kg. How much does the lion weigh?
(A) 180 kg (B) 150 kg (C) 140 kg (D) 130 kg (E) 100 kg
23. Adrienne, Betty and Cathy were the only three competitors partici-pating in a series of athletic events. In each event, the winner gets 3 points, second gets 2 points and third gets 1 point. After the events, Adrienne has 8 points, Betty has 11 points and Cathy has 5 points. In how many events did Adrienne come second?
24. Jane and Tom are comparing their pocket money. Jane has as many 5c coins as Tom has 10c coins and as many 10c coins as Tom has 20c coins. However, Jane has as many 50c coins as Tom has 5c coins. They have no other coins and they find that they each have the same amount of money.
What is the smallest number of coins they each can have?
(A) 3 (B) 4 (C) 5 (D) 6 (E) 7
25. A tuckshop has two jars of cordial mixture. Jar A is 30% cordial, while Jar B is 60% cordial. Some of Jar A is mixed with some of Jar B to make 18 litres of 50% cordial.
How many litres from Jar A are used?
(A) 9 (B) 12 (C) 4
(D) 3 (E) 6
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. Qiang, Rory and Sophia are each wearing a hat with a number on it. Each adds the two numbers on the other two hats, giving totals of 11, 17 and 22. What is the largest number on a hat?
UP 8
27. The number 840 is the 3-digit number with the most factors. How many factors does it have?
28. A class has 2016 matchsticks. Using blobs of modelling clay to join the matches together, they make a long row of cubes. This is how their row starts.
They keep adding cubes to the end of the row until they don’t have enough matches left for another cube. How many cubes will they make?
29. You have an unlimited supply of five differ-ent coloured pop-sticks, and want to make as many different coloured equilateral triangles as possible, using three sticks.
One example is shown here.
Two triangles are not considered different if they are rotations or reflections of each other. How many different triangles are possible?
blue
red
red
30. Today my three cousins multiplied their ages together and it came to 2016. This day last year their ages multiplied to 1377.
When they multiplied their ages together 2 years ago today, what was their answer?
