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Maths Challenge 2002 Year 8

This was the Maths Challenge for the Year 2002

1. How many sides does a nonagon have?

2. What is 30% of 40% of £80

3. The sum of three consecutive odd numbers is 63. What are these three numbers?

4. Work out 1.2 X 0.7

5. A tourist attraction opens each day.
It needs 30 000 visitors per day on average to break even.
Last week there were 120 000. What is the number of
visitors needed this week in order to break even
over the two week period?

6. Find the value of

3.7 + (4.6 + 5.3) - (10.2 - 4.3)

7. When rolling a fair, six-sided die, what is the probability of rolling a prime number?

8.A triangle has area of 15cm2

Its height is 6cm, what is the length of the base?

9. Work out the value of the following expression if

10. Expand and simplify the following expression

5(2x -3) + 3(4 + 6x)

11. Sarah eats 2/3 of a bag of sweets. Tom eats a quarter of those left.
What fraction of the whole bag did Tom eat?

12. Multiply out the bracket

3x(2x + 6)

13. What is the size of the interior angle of a regular octagon?

14. How many edges has a hexagonal prism?

15. £1 = 12.40 Danish Kroner

How much is £1.50 in Danish Kroner?

16. What is the next number in the sequence

1 4 9 16 …?

17. Find the value of

18. My bus fare is £1.88.

If the driver can give me change, what is the smallest amount of coins which must change hands when I pay this fare?

19. Which number should replace the box to make a true statement?

20. What is the value of:

21. Given that

What is the value of x?

22. Cinema tickets for one adult and one child cost a total of
£11.75.The adult's ticket is one and a half times the price of
the child's ticket.

How much does each ticket cost?

23. What is the difference between?

- 6.2 and 13.5

24. An old woman has five children, each of whom have 4 children, each of whom has three children, each of whom is childless. How many descendants does the woman have?

.

25. The theme music for the famous science-fiction film '2001: A Space Odyssey' was composed by Richard Strauss in 1896. How many years was that before the film itself was produced in 1968?

26. Solve the equation

27. A video tape plays for 6 hours. It rewinds 18 times quicker than it plays. How many minutes does it take to rewind completely?

28. How many triangles are there in the diagram?

29. Two numbers have a product of 36 and a difference of 9. What are the two numbers?

30. In the diagram, PQ and SR are parallel, as are the lines PS and QT. What is the value of x?

31. Equal regular pentagons are placed together to form a ring in the manner shown. How many more are needed to complete the ring?

32. What is the sum of the numbers from 1 to 100?

 

33. In the accompanying calculation, different letters represent different digits. Find a solution.

 

34. Find the fourth tern in the sequence generated by

 

35. Find the volume of this prism.

The answers will appear later

Now try Maths Challenge 2001

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