#### IB MATHS HL

 Question. 1 :
The table shows the scores of competitors in a competition. Score 10 20 30 40 50 Number of competitors with this score 1 2 5 k 3 The mean score is 34. Find the value of k.

 Question. 2 :
Find the exact value of x satisfying the equation (3x)(42x+1) = 6x+2. Give your answer in the form where a, b  .

 Question. 3 :
From January to September, the mean number of car accidents per month was 630. From October to December, the mean was 810 accidents per month. What was the mean number of car accidents per month for the whole year?

 Question. 4 :
Consider the function h (x) = x . (i) Find the equation of the tangent to the graph of h at the point where x = a, (a  0). Write the equation in the form y = mx + c. (ii) Show that this tangent intersects the x-axis at the point (â€“4a, 0). (Total 5 marks)

 Question. 5 :

The company charges 55 cents per kilometre for distance travelled. There are no other charges. Use the curve to answer the following. (b) On that morning , 40% of the cabs travel less than a km. Find the value of a. (4) (c) What percentage of the cabs travel more than 90 km on that morning?

 Question. 6 :

 Question. 7 :

Please solve all questions of Modelling the functional building portfolio.

 Question. 8 :

 Question. 9 :

 Question. 10 :

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 Question. 11 :

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 Question. 12 :

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 Question. 14 :
Cardano (Italian mathematician in the 16th century) came up with the following problem:

The sum of two numbers is 10 and the product is 40, what are the two numbers?

 Question. 15 :

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 Question. 16 :

If 2x2 – 3y2 = 2, find the two values of  dy/dx when x = 5.

 Question. 17 :

Is there any way I can find out how the  my IB Math HL Type 1 Internal Assessment should be structured? My teacher gave us the criteria, but did not explain how it was to be structured.

 Question. 18 :

please tell me integration of tan3x