Mark
3. Solve the equations
(i) 2x - X-^- = 2 - x ;
w 2
(ii) 5x2 — x — 2 = 0, giving the roots correct to two
decimal places.
4. {Do not use mathematical tables in this question.)
(i) Evaluate (a2 — b2)~:1 when a = 5 and 6 = 4.
x 1
(ii) If — +
v ; V5 V20
= -\/5, find the value of x.
5.
(4,6)
(3)
(5)
(i) Use tables, where necessary, to find the values of x andy
between 0° and 180° such that
{a) log tan x = I • 8000;
(6) tany + tan 40° 10' = 0.
(ii) In the triangle ABC, AB = 10 in, BC = 12 in, and the
area of the triangle is 36 sq. in.
Calculate the two possible values of the angle B, and
find the larger of the two possible values of the side AC.
(i) The price of a dress is subject to a discount of b shillings
in the £. If the marked price is Jim, how much, in is
actually paid for the dress ?
(ii) A length of wire is bent into the shape of a rectangle
whose sides are in the ratio 3:2. If the area of the
rectangle is 13-| sq. in., how long is the wire ?
(i) The diameter, d cm, of a solid spherical ball varies
directly as the cube root of the weight, W gm.
When the diameter is 15 cm the weight is 8 Kg.
Express d in terms of W.
(ii) In a right-angled triangle, a and b are the lengths of the
sides about the right angle and p is the length of the
altitude drawn to the hypotenuse.
Prove that ab — p\/(a2 + b2), and express a in terms
of b and p.
(3)
(6,4)
(4)
(6)
(5)
(4,5)
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