EXAMINABLE QUESTIONS
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QUESTION 1.
1A).Two place X and Y are on the same latitude 52°N. X is longitude 32° E and Y is on longitude 28°W.
Calculate, correct to two decimal places, 1.the distance between X and Y along the parallel of latitude. (Radius of the earth =6400km)
!!. How long,to the nearest hour ,will it take a plane to cover the distance in (1),at a speed of 825km/h.
B.Given that logP=X and logQ=Y,express log pq/1000 in terms of X and Y. (ans=x+y-3).
1C. A trader was charge 2 peewas per month for every GHc1. 00 he borrowed from a bank.
I). At what percentage rate per annum was the interest charged?.
!!). How much would the trader pay as interest on a loan of GHc 5,000.00 for 6 months?.
*QUESTION 2*
2a. A man on a basic salary of Gh60, 000.00 per annul has three children. He allowed the following tax reliefs:
Personal allowance_40% of basic salary.
Children allowance_Gh1,500.00 each up to a maximum of 4 children.
Dependants_25% of basic salary.
Insurance _10% of basic salary.
Calculate his
a). taxable income.
b. Monthly tax if tax is charged at a rate of 12pesewas in Ghana cede.
2b. The points M(2, 3), N(5,-2) and T(3,-5) are in the X_Y rectangular plane. If > > >
KOM=LOM=MT, where K and L are real numbers, calculate the value of :
!).k
!!).L.
b. Given that >AC={-7,12), calculate
!.the length of >AC,correct to three significant figures.
!!. Th e bearing of C from A, correct to the nearest degree.
*QUESTION3*
A. the location of four towns, p,q,r,t are such that q is on the bearing of 270• from p. T is 12km due north of p and a bearing of 047• from q. R is due north of q and 16km from p. Calculate to three significant figure:
a). The distance p and q
b). The distance between q and r.
c). The bearing of r from p.
d). The component of > RT.
B.
Find the value of K if (x-1) and (x+2) are factors of X 2
+X+K.
*QUESTION4*
A. PQRT are points on the circumference of a circle.|PQ|=|PR|, <QPR=40• and <PUT=60•. line S is a targent from north_west which touches T and R.
! draw the diagram
!! <TQR:
!!!.<PSQ:
B. a rectangular is (x+3)cm long and ycm wide, the perimeter of the rectangle is 24cm and the area is 27cm 2
a). show that:
!.) y=9-x.
!!). X 2_6x=0.
b. Find the length and width of the rectangle.
*QUESTION 5*
A. ABCV is right pyramid with base ABC which is an equilateral triangle with base side 18cm. Each sloping edge of the pyramid is13cm. G is the Line of symmetry of triangle ABC. If /AG/=10.4cm. Calculate :
!.the angle between AV and the base ABC.
!!.height of the pyramid.
!!!.volume of the pyramid.
!v. Angle between the face ACV and the base ABC.
B. The height Hcm, of a clock above the sea level is given by : h=6+4cos(15p)•, 0<p<6.
Find:
!). The value of H when p=4.
!!). Value of p when H=9cm in two significant figures.
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