Mathematics Past Questions and Answers

(a) Copy and complete the table of values for the relation \(y = -x^{2} + x + 2; -3 \leq x \leq 3\).

x	-3	-2	-1	0	1	2	3
y		-4		2			-4

(b) Using scales of 2 cm to 1 unit on the x- axis and 2 cm to 2 units on the y- axis, draw a graph of the relation \(y = -x^{2} + x + 2\).
(c) From the graph, find the : (i) minimum value of y ; (ii) roots of equation \(x^{2} - x - 2 = 0\) ; (iii) gradient of the curve at x = -0.5.

(a)
In the diagram, < PTQ = < PSR = 90°, /PQ/ = 10 cm, /PS/ = 14.4 cm and /TQ/ = 6 cm. Calculate the area of the quadrilateral QRST.
(b) Two opposite sides of a square are each decreased by 10% while the other two are each increased by 15% to form a rectangle. Find the ratio of the area of the rectangle to that of the square.

The frequency distribution of the weight of 100 participants in a high jump competition is as shown below :

Weight (kg)	20 - 29	30 - 39	40 - 49	50 - 59	60 - 69	70 - 79
Number of Participants	10	18	22	25	16	9

(a) Construct the cumulative frequency table.
(b) Draw the cumulative frequency curve.
(c) From the curve, estimate the : (i) median ; (ii) semi- interquartile range ; (iii) probability that a participant chosen at random weighs at least 60 kg.

If N112.00 exchanges for D14.95, calculate the value of D1.00 in naira

If N112.00 exchanges for D14.95, calculate the value of D1.00 in naira