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  1. Question 1 of 10
    1. Question

    Port A is situated on 165o W 11o N and Port B is situated 165o W 8o 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.

    Correct

    Incorrect

  2. 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.

    Correct

    Incorrect

  3. 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.

    Correct

    Incorrect

  4. Question 4 of 10
    4. Question
    What is the last digit of this product?222 × 333 × 777

    • The last digit is .

    Correct

    Incorrect

  5. 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:

    Correct

    Incorrect

  6. Question 6 of 10
    6. Question

    A million minutes is approximately 99 weeks.

     

    • To the nearest whole number, one billion seconds would be weeks.

    Correct

    Incorrect

  7. Question 7 of 10
    7. Question

    Select the following TRUE statements.

    Select one or more:

    Correct

    Incorrect

  8. Question 8 of 10
    8. Question

    What is the perimeter of the rectangle below?

    Select one:

    a)  y2 – 4y – 45b) y2 – 45c) y – 4d) 4(y – 2)e) 2y – 4

    Correct

    Incorrect

  9. Question 9 of 10
    9. Question

    Which of the following are rational numbers.

    Select one or more:

    A.

    π2

    B.

    513

    C.

    3

    D.

    9717

    E.

    42.25

    Correct

    Incorrect

  10. 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.

    Correct

    Incorrect

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