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The Quiz

The Quiz. Round 1 Number. Question 1. What 2 digit number is 8 times the sum of its digits?. Question 2. How many prime numbers are there between 50 and 100?. Question 3. In a quiz show, if you win you choose two envelopes from six. One envelope has £1000 in it, one has £500,

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The Quiz

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  1. The Quiz

  2. Round 1 Number

  3. Question 1 What 2 digit number is 8 times the sum of its digits?

  4. Question 2 How many prime numbers are there between 50 and 100?

  5. Question 3 In a quiz show, if you win you choose two envelopes from six. One envelope has £1000 in it, one has £500, one has £300, one has £200, one has £50, and one is empty. How many different amounts can you win?

  6. Question 4 Here are three offers for a fridge freezer - which offer is the cheapest? A. Usual price £250; 30% off; B. Usual price £240; 1/3 off; C. £50 deposit plus £20 a month for 6 months; D. None, they are all the same.

  7. Question 5 In a list of prime numbers that are in ascending order, which prime number occupies the position described by multiplying its digits? (e.g. 23 gives 2x3 = 6 , but 23 is not in position 6 - so this is not the solution!)

  8. Round 2 Shape

  9. Question 6 Here is a blank “special domino” - with these “dominoes” we put 3 lines to join each of the three points on one side to each of the three points on the other side. How many different “dominoes” can be formed?

  10. Question 7 The diagram below shows some sticks arranged to form some squares, remove three sticks to leave three squares. (Cross them out on your answer sheet)

  11. Question 8 What is the sum of the marked angles?

  12. Question 9 What fraction of the triangle is shaded?

  13. Question 10 The area of the smallest square is 10 square centimetres. What is the area of the largest square?

  14. Round 3 Algebra

  15. Question 11 Solve the equation:

  16. Question 12 If a=1, b=2 and so on to z=26, what is the value of: (a-x)(b-x)(c-x) ...................(z-x)?

  17. Question 13 Solve the inequality: 33 + 44y < 55

  18. Question 14 How many different real numbers satisfy this equation?

  19. Question 15 Find the value of n:

  20. Round 4 Miscellany

  21. Question 16 Fred can eat 27 chocolates in a hour, Alice can eat 2 chocolates in 10 minutes, and Kelly can eat 7 chocolates in 20 minutes. How long will it take them to share and eat a large box of 120 chocolates whilst watching a movie?

  22. Question 17 What is the missing number in the sequencebelow? 2 3 5 9 ? 33 65

  23. Question 18 Which number is equal to its difference from 20? That is easy, it is 10 – however, what number equals the square of its difference from 20?

  24. Question 19 I am a two digit palindrome number. The sum of my digits is two-thirds of the product of my digits. What number am I?

  25. Question 20 If 4 copiers can process 400 sheets of paper in 4 hours, how long does it take 8 copiers to process 800 sheets?

  26. The End!

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