# AS Levels Pure Maths 1 (P1) Quick Test (free)

Cambridge AS Levels Pure Maths 1 (P1) Quick Test Questions

[gview file=”asp1_quicktest_free.pdf” profile=”2″]

# Alevels CIE Pure Maths P3 Webinar

For a limited time only (until Nov 2013 A Level CIE exams are over), we have made available our recent May 2014 webinar for exam review. In this webinar, you can watch and listen to Mr Menon’s revision class. In this P3 webinar, he discussed 12 revision questions specifically. Watch the demo below:

Only paid customers can view this.

# A2 P3 exam revision practise questions (set 2)

Here is the 2nd set, A2 exam revision practice questions for those taking A2 P3 exam this Oct/Nov 2014 :-

PROBABILITY

1) Telephone calls reach a secretary independently and at random, internal ones at a mean rate of 2 in any 5 minute period, and external ones at a mean rate of 1 in any 5 minute period. Calculate the probability that there will be more than 2 calls in any period of 2 minutes.

2) The probability density function of a continuous random variable (X) is given by

(begin{align}
f(x)& =dfrac{2}{3} x,&
1 leqslant x leqslant 2,\
f(x)& =0,&
otherwise.
end{align})

(a) Find (i) (E(X^2)), (ii) (E(X^4)), (iii) the cumulative distribution function of (X).
(b) Suppose (X) is the length of the side of a square. (i) Find the mean and the variance of the area of the square. (ii) Show that the area of the square has a uniform distribution over a certain interval which should be specified.

Solutions:
[gview file=”a2p3_prqu_set2_A.pdf”]

Get 10 more exam revision practise questions here:

 CIE A Levels Pure Maths 3 Practise Problem Sets 1 (10 questions with answers) View Here USD\$ 30

Also you can find our complete Cambridge A Levels Pure Maths 3 (P3) online course HERE
and Cambridge A Levels Pure Maths 3 (P3) fully worked solutions HERE

Cheers!

# A2 P3 exam revision practise questions (set 1)

Over the next few weeks we will upload a series of practice questions and answers.

Here is the 1st set, A2 exam revision practice questions for those taking A2 P3 exam this Oct/Nov 2014 :-

1) If (0 < theta < 90^{circ})

(i) find the exact value of (sintheta) if (6sin 2theta = 5cos theta)
(ii) if instead (theta) satisfies the equation (8cos theta cosec^2 theta = 3) find the exact value of (cos theta)
2)

(i) Use the identity for (cos (A + B)) to prove that (4cos(theta + 60^{circ})cos(theta+30^{circ}) equiv sqrt{3} – 2sin 2theta)
(ii) Hence find the exact value of (4 cos 82.5^{circ} cos 52.5^{circ})
(iii) Solve for (0 < theta < 90^{circ}), the equation (4cos(theta + 60^{circ})cos(theta+30^{circ}) = 1)
(iv) Given that there are no values of (theta) which satisfy the equation (4cos(theta + 60^{circ})cos(theta+30^{circ}) = k) determine the set of values of the constant k

Solutions:
[gview file=”a2p3_prqu_set1_A.pdf” profile=”2″]

Also you can find our complete Cambridge A Levels Pure Maths 3 (P3) online course HERE
and Cambridge A Levels Pure Maths 3 (P3) fully worked solutions HERE

Cheers!