C2 Mathematics

There is one question per topic, although some questions may draw upon skills from other topics.  NOTE:  If a question like question seven came up in the exam, to earn full marks you should NOT just keep running the calculation of ('-7500, x1.035'), you must express a general expression for the money the man has in the savings account after n years and solve for amount left = 0...

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  • Created by: Josh
  • Created on: 04-01-12 18:38
Given that f(x) = 2x^4 + 2x^2 - 44x - 48, and f(-1) = 0, how many roots does the equation f(x) = 0 have?
2
1 of 10
A triangle has sides of length 3, 5 and 6.5 centimetres. What is the value of its largest angle in degrees (4 significant figures)?
106.0
2 of 10
Solve for x to 3 s.f.: 18(9^[x-1]) + 3^[x+1] = 2
x = -0.631
3 of 10
A circle passes through (2,0), (0,-9+sqrt77) and (0, -9-sqrt77). When the equation of the circle is in the form (x-a)^2 + (y-b)^2 = r^2, what is the value of abr?
-162
4 of 10
Sector ABC has radius 5cm and lines AB and BC subtend an angle of 0.6 radians. A straight line between B and C is drawn, and a perpendicular bisector of this line dropped to A, giving two right angled triangles, (RAT). Calculate the area minus a RAT
3.97cm^2
5 of 10
On the 1st of January 1991, a man wins £100,000 and deposits it in a savings account at 3.5% per year, payed on the 31st of december. Every June, the man spends £7,500 from his savings account to go on holiday. In what year can he no longer afford it?
2008
6 of 10
On the same set of axes, sketch the graphs of y = sin(x) and y = tan(x), 0 < x < 360 (degrees). For the interval of x being between 0 and 360 degrees (INCLUSIVE), how many solutions are there to tan(x) = sin(x)?
3
7 of 10
The graph of y = (1/3)x^3 - 8x^2 - 17x - 3 has one maximum point at (a, b). What is the value of 3ab?
-17
8 of 10
Take the mean of the solutions to cos(x) = 15sin(x), giving your answer to 1 d.p.
93.8
9 of 10
The curve C has equation y = 2x^3 + ax^2 - 3x + 12. The area R is 73/3 units squared and is bounded by C, the x axis and the lines x = 1 and x = 2. What is the value of a?
4
10 of 10

Other cards in this set

Card 2

Front

A triangle has sides of length 3, 5 and 6.5 centimetres. What is the value of its largest angle in degrees (4 significant figures)?

Back

106.0

Card 3

Front

Solve for x to 3 s.f.: 18(9^[x-1]) + 3^[x+1] = 2

Back

Preview of the front of card 3

Card 4

Front

A circle passes through (2,0), (0,-9+sqrt77) and (0, -9-sqrt77). When the equation of the circle is in the form (x-a)^2 + (y-b)^2 = r^2, what is the value of abr?

Back

Preview of the front of card 4

Card 5

Front

Sector ABC has radius 5cm and lines AB and BC subtend an angle of 0.6 radians. A straight line between B and C is drawn, and a perpendicular bisector of this line dropped to A, giving two right angled triangles, (RAT). Calculate the area minus a RAT

Back

Preview of the front of card 5
View more cards

Comments

Izzy Perrin

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... some of your answers are wrong er.. you might want to look back over them :)

Annamariaa

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I don't understand the 2nd question how can you find all the angles when you don't know any? 

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