2004 - JAMB Mathematics Past Questions and Answers - page 5

Coordinates of the line are (x1 y1)(0,2) respectively and (x2 y2)(2,0) respectively
Gradient (m) of the line = (y2 - y1) / (x2 - x1) = (0-6) / (2-0) = -6/2
= -3
Equation of the line y-y1 = m(x-x1)
y - 6 = -3(x - 0)
y - 6 = -3x
y + 3x = 6
inequality; from the y axis, the shaded region is below the line
∴ y + 3x ∠ 6 and line is a broken line
Users' Answers & CommentsEach interior Angle of the polygon = | (n-2) | 180 |
_n |
= | (6-2) | 180 |
_6 |
= 4 x 30
= 120o
i.e ∠PQR = 120o ∴ RQD = 120/2 = 60o also
∴ Δ QOR is equilateral Δ ∴ QO = 7cm
∴ PO = QO = RO ...... = 7cm radius of the circumference of the circle = 2πr
= 2 x 22/7 x 7/1
= 44 cm
Users' Answers & Comments

when x = 0, y = 0 (\to) (0, 6)
when y = 0, x = 2 (\to) (2, 0)
y + 3x < 6
Users' Answers & Comments
< PRS = 20o + 35o = 55o
< POS = 2 < PRS
2 x 55o = 10o
< OPS = < PSO = x
In (\bigtriangleup)POS
OP = OS(radii)
(\bigtriangleup)POS is an isosceles
2x + 110o = 180o
2x = 180o - 110o = 70o
x = (\frac{70^o}{2})
= 35o
Users' Answers & Comments

beans angle = 360o - (60o + 90o + 150o)
360o - 300o = 60o
150o - 3000 tonnes
60o - (\frac{60}{150} \times 3000) tonnes
= 1,200 tonnes
Users' Answers & Comments
(\begin{array}{c|c} \text{class-marks(x)} & \text{(freq. (f)} & \text{cum. freq.}\hline 9 & &3.....3\14 & & 6....3 + 6 = 9\ 19 & & 9.....9 + 9 = 18\ 24 & & 3.....18 + 3 = 21\ 29 & & 2.....21 + 2 = 23\ 34 & & 2.....23 + 2 = 25\ & & 25\end{array})
% of students scoring more than 20 marks
= (\frac{7}{25}) x 100% = 28%
Users' Answers & Comments