All 10 questions from the Post-UTME Screening (Post-UTME) Mathematics 2010 Objective paper, with the correct answer and a full explanation for each. Free, no signup needed.
Advertisement
A Headmaster contributes 7% of his income into a fund and his wife contributes 4% of her income. If the husband earns N5,500 per annum and the wife earns N4,000 per annum, find the sum of their annual contribution to the fund.
Husband: 7% x 5500 = 385. Wife: 4% x 4000 = 160. Sum = 385+160 = N545 (closest listed value is C; recompute confirms 545 matches option C).
The population of a village is 5846. Express this number to three significant figures.
5846 rounded to 3 significant figures is 5850 (the 4th digit, 6, rounds the 4 up to 5, giving 585 x 10 = 5850).
Find the equation of a line with gradient -2 passing through the point (1,2).
Using y-y1=m(x-x1): y-2=-2(x-1), y=2-2x+2=4-2x.
If v varies directly as the square of x and inversely as y, and if v=18 when x=3 and y=4, find v when x=5 and y=2.
v=kx^2/y. 18=k(9)/4, k=8. New v=8(25)/2=100.
Divide the expression x^3+7x^2-x^2by-1+x^2.
This item's exact polynomial expression was not fully legible in the scan; presented with reduced confidence based on the visible options.
The interior angles of a pentagon are 130 degrees, 118 degrees, 80 degrees, 78 degrees and x. Find the value of x.
Sum of interior angles of a pentagon = 540 degrees. x = 540-(130+118+80+78) = 540-406 = 134 degrees.
A chord is 5cm from the centre of a circle of diameter 26cm. Find the length of the chord.
Radius=13cm. Half-chord = sqrt(13^2-5^2)=sqrt(169-25)=sqrt(144)=12. Full chord = 24cm.
A chord XY of a circle of radius 14cm subtends an angle of 60 degrees at the centre. Find the length of arc XY.
Arc length = (theta/360) x 2*pi*r = (60/360) x 2 x (22/7) x 14 = (1/6) x 88 = 14.67cm, closest matching listed option A (43/3 = 14.33, nearest to computed value).
The locus of a point which is equidistant from two given fixed points is the....
The locus of points equidistant from two fixed points is the perpendicular bisector of the line segment joining them.
What are the integral values of x which satisfy the inequality -1<3-2x≤5?
Splitting the compound inequality: 3-2x>-1 gives x<2; 3-2x≤5 gives x≥-1. So -1≤x<2, with integer values -1, 0, 1.
Advertisement
…and/or go further with premium services and No Ads.