Tom, Rick and Sam weigh 105 kg. What is the weight of Tom if the combined weight for Rick and Sam is 67 kg?
Answer ⇒ kg

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Question 3 of 20
3. Question
3 point(s)
A card is drawn from a pack of 52 cards. The probability of getting a queen of the club or a king of heart is:
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Question 4 of 20
4. Question
3 point(s)
There are five boys for every seven girls in Year 6. If there are 140 girls in Year 6, what is the total number of students in Year 6?
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Question 5 of 20
5. Question
3 point(s)
Water is being poured into a fish tank at a rate of 2L every 10 seconds. The tank is 1.2m long by 1m wide by 80 cm high.
How long will it take to fill the tank?
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Question 6 of 20
6. Question
3 point(s)
One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?
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Question 7 of 20
7. Question
3 point(s)
Rachel needs 5 cups of sugar to make 60 muffins. How many muffins can she make with 3 cups of sugar?
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Question 8 of 20
8. Question
3 point(s)
Danny had a rope 4.0 m long. He cut a piece 1.8 m long from the rope. He cut the remaining rope into 5 equal pieces. He laid 3 of these equal pieces in the shape of a triangle. What is the perimeter of the triangle?
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Question 9 of 20
9. Question
3 point(s)
A set of traffic lights shows green for 45 seconds, amber for 5 seconds and red for 30 seconds. When approaching this set of lights, what are the chances that it will be showing green?
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Question 10 of 20
10. Question
3 point(s)
Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weighs 4 kg. The total weight of Carl’s baggage is 35 kg.
Find the weight of each of his checked bags.
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Question 11 of 20
11. Question
3 point(s)
The coordinates of the point of intersection for the two graphs could only be:
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Question 12 of 20
12. Question
3 point(s)
A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
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Question 13 of 20
13. Question
3 point(s)
Find a measuring tape of the largest length, which can measure 78 m, 91 m and 104 m exactly.
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Question 14 of 20
14. Question
4 point(s)
Jack draws following graph for his trip to Canberra.
Here are three statements about the graph.
1. Jack drove for two and half before taking first break. 2. Jack took breaks at same point while going to and coming back from Canberra. 3. Jack took 3.5 hours from Canberra to reach home.
Which of these statements are correct?
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Question 15 of 20
15. Question
4 point(s)
Three boys A, B and C have 225 cards. To share cards equally, C gives 25 to B and B gives 15 to A. Each now has the same number of cards.
What was the difference in the number of cards A and C have originally?
Answer ⇒

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Question 16 of 20
16. Question
5 point(s)
A farming field can be ploughed by 6 tractors in 4 days. When 6 tractors work together, each of them ploughs 120 hectares a day. If two of the tractors were moved to another field, then the remaining 4 tractors could plough the same field in 5 days. How many hectares a day did each of the remaining tractors plough then?
Answer ⇒ hectares

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Question 17 of 20
17. Question
5 point(s)
The following dot plot shows the scores of Year8 students in a math test.
The mean of the scores is
Answer ⇒

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Question 18 of 20
18. Question
5 point(s)
Factorise the following
x^{2}y^{3} + x^{3}y^{2}
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Question 19 of 20
19. Question
6 point(s)
Six teams are playing a threeround tournament. Teams play with each other in each round. The winning team gets 2 points while the loser does not get any point. There is no other possible outcome of a game.
The team with the highest number of total points from three rounds will win the tournament.
Here are points gained by teams in first two rounds of the tournament.
Team
Round 1
Round 2
Blue
10
4
Yellow
2
4
Red
4
2
Green
6
6
Black
0
4
Orange
8
10
What is the minimum number of games a team must win in the final round to win the tournaments?