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Mathstermind

Mathstermind. Rules. 4 teams – you choose 5 points for a correct answer Points will be deducted for poor behaviour/ interrupting the answering team If you pass on a question, it will be open to ALL teams except the one who passed.

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Mathstermind

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  1. Mathstermind

  2. Rules • 4 teams – you choose • 5 points for a correct answer • Points will be deducted for poor behaviour/ interrupting the answering team • If you pass on a question, it will be open to ALL teams except the one who passed. • All teams will have 1 whiteboard and will write their answer. If it is correct they will get a reduced score of 3 points. • If you want a “lifeline” this will cost you: • 2 points for 1 answer removed • 3 points to ask for a hint

  3. Tie Breaker Question

  4. Number 1 M is directly proportional to L3. When L = 2 M = 160 Find M when L = 3.

  5. Number 2 Q is inversely proportional to the square of t. When t = 4, q = 8.5 Find q when t = 5

  6. Number 3 Work out: Give your answer in standard form

  7. Number 4 4x = What is x?

  8. Number 5 Rationalise the denominator:

  9. Number 6 • 60 =

  10. Number 7 Convert to a fraction

  11. Number 8 A cylindrical can has a label saying “Contents 330ml” printed on it. It has a diameter of 6.5cm (to the nearest mm) and a height of 10.0cm (to the nearest mm). Find the lower and upper bounds of the volume of the can to determine of the label is accurate.

  12. Number 9 Nathan got a pay rise of 5%. His new pay is £1680 a month. Work out his pay before his pay rise.

  13. Home Number 10 Janet deposits £3000 into a bank account which pays compound interest of 4% per annum. She wants to leave it until there is at least £4000 in the account. How many years should she leave it?

  14. Algebra 1 Factorise 4a2-3a-10

  15. Algebra 2 Solve

  16. Algebra 3 Solve the following: 2x+3y=1 7x+8y=-4

  17. Algebra 4 Write this as a single fraction:

  18. Algebra 5 Simplify

  19. Algebra 6 Rearrange To make u the subject

  20. Algebra 7 Find the possible integer values for

  21. Algebra 8A Name the types of graph on the next 5 slides (1 point per graph)

  22. Algebra 8B Name the graph type

  23. Algebra 8C Name the graph type

  24. Algebra 8D Name the graph type

  25. Algebra 8E Name the graph type

  26. Algebra 9 L is parallel to the line of y=2x-3. It passes through the point (3,4). Find the equation of L.

  27. Home Algebra 10 The graph below shows the function y=f(x). The point (0,0) has been translated to (4,0). Find an equation of the new curve.

  28. Shape 1 Find the missing side. Answers to 3sf. 10.1cm 7.8cm

  29. Shape 2 Find the diagonal AG A B F C D 7cm 3cm H G 5cm

  30. Shape 3 Find the missing angle 4.5cm x 12cm

  31. Shape 4 Find the largest angle 4.2cm 5.3cm 7.6cm

  32. Shape 5A Worth 2 points Convert 5m2 to cm2

  33. Shape 5B Worth 3 points 2 cones are similar. Surface area P = 24cm2 Surface area Q = 96cm2 Height P = 4cm Volume P = 12cm3 Find the volume of cone Q

  34. Shape 6 Find the volume of the Frustum B A 10cm 5cm 20cm B 15cm

  35. Shape 7 Find angles u and t u O t 38o

  36. Shape 8 The triangle ABC has the following dimensions: a = 6cm b = 9cm Angle C = 25o Find the area of the triangle

  37. Shape 9 Express in terms of a and b Y 4a+3b O 2a+b X

  38. Home Shape 10 Q q 4p p P M R Find an expression for S

  39. Data 1 The table shows the number of students in 2 years at college. Mike wants to interview a random sample of 70 students. How many first year males should he interview?

  40. Data 2 80 children went to London or York on a school trip. 23 boys and 19 girls went to London. 14 boys went to York. Penny wants to take a stratified sample of 20 students. How many girls who went to York should she ask?

  41. Data 3 Here are the weights in kg of some young children. 42, 40, 45, 47, 50, 48, 39, 47, 42, 50, 49 Find the Interquartile range of this data

  42. Data 4 Complete the table

  43. Data 5 Use the box plot to find the median.

  44. Data 6 A point is chosen at random from inside the square below. What is the probability that this point is inside of the circle.

  45. Data 7 A bag of sweets contains: • 3 red sweets • 2 green sweets • 4 yellow sweets 2 sweets are taken from the bag at the same time. What is the probability that both sweets are red?

  46. Data 8

  47. Data 9 The tree diagram shows the probability of drawing a black or white counter from a bag. What is the probability of drawing one of each? B B W B W W

  48. Home Data 10 A Doctor has diagnosed a patient with a virus (either X, Y or Z). The doctor does not know which virus. The probability the patient has each virus is: P(X) = 0.56 P(Y) = 0.28 P(Z) = 0.16 The probability the patient will not recover from each virus is: P(X) = 0.18 P(Y) = 0.22 P(Z) = 0.36 Find the probability the patient will recover.

  49. Tie-Breaker What is the world record for memorising digits of pi (π)? 67,890

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