Year 10 Online Practice | Have Sum Fun Online

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Question 1 of 10

1. Question
Port A is situated on 165^o W 11^o N and Port B is situated 165^o W 8^o S.

Assuming it is possible to travel by ship directly from A to B, what is the shortest distance between the two towns to the nearest kilometre, if the radius of the Earth is 6335 km?

Enter a number only.
- The shortest distance between the two towns would be km.
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Question 2 of 10

2. Question
The Year 10 students play sport. Twelve of the students play tennis, six of the students play rugby, and fifteen of the students play golf.

Two of the students play tennis and rugby but not golf. One of the students plays rugby and golf but not tennis. There is only one student who plays all three sports.

If all of the students play at least one sport, what is the total number of students?
- There are Year 10 students.
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Question 3 of 10

3. Question
A sports teacher has to organise a carnival where 10 teams are to play each other twice

How many matches will be played?
- They played matches.
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Question 4 of 10

4. Question
$What is the last digit of this product ? 2^{22} \times 3^{33} \times 7^{77}$
- The last digit is .
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Question 5 of 10

5. Question
How many numbers less than 100 can be expressed as the product of three different prime factors?

Select one:
- 5
- 3
- 6
- 8
- 12
- None of these
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Question 6 of 10

6. Question
A million minutes is approximately 99 weeks.
- To the nearest whole number, one billion seconds would be weeks.
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Question 7 of 10

7. Question
Select the following TRUE statements.

Select one or more:
- The equation 9n – 7 = 7n – 9 has only one solution.
- 3293 is a prime number.
- The probability of a product of 20 or 12 when rolling two dice is 16.7%.
- A dodecagonal prism has 30 edges.
- y squared = 1 has two solutions.
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Question 8 of 10

8. Question
What is the perimeter of the rectangle below?

Select one:
$a) y^{2} - 4 y - 45 b) y^{2 - 45} c) y - 4 d) 4 (y - 2) e) 2 y - 4$
- A
- B
- C
- D
- E
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Question 9 of 10

9. Question
Which of the following are rational numbers.

Select one or more:

A.
$\frac{π}{2}$

B.
$5^{13}$

C.
$\sqrt{3}$

D.
$\frac{97}{17}$

E.
$\sqrt{42.25}$
- A
- B
- C
- D
- E
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Question 10 of 10

10. Question
A cylindrical tank measuring 3.1 metres in diameter and 1.65 metres high is 72% full.

To the nearest 10 litres, how much water is in the tank?
- There is litres of water in the tank.
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