S5 Subsidiary Mathematics Revision Week II 2012
1a. Given that cos x  0.2 , where x is acute, find:
i) sin x
ii) tan x
b. Use the matrix method to solve the following simultaneous equations
4x  y  7
6 x  5 y  17
2a. Simplify 5 5  2 10  125
b. For the curve y  x 2  3 find the equation of the tangent at
the point whose x – coordinate is a .
3a. Simplify
3 7
3 7
to the form p  q r . Hence state the values of p, q and r.
b. Solve for x : 4  23 x  1  18 
x
4a. Solve the equations:
4 x  2 x 1  15  0
b. The point  1 , 20 lies on the curve y  2 x 2  18. Find the gradient at this point and
the equation of the tangent.
5a. Given that 3x 2  2 x  5  0 has roots α and β, find the values of:
(i)
1
1
+
1
1 
b. If x  1 and x  2 are factors of x 3  ax 2  5 x  b . Find the values of
a and b and hence using long division find the remaining factor.
™ Mathematics Dept GHS 2012