If three children shares N10.50 among themselves in ratio 6:7:8, how much is the largest share?
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1995
Find (1012)2, expressing the answer in base 2.
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1995
A box contains 5 blue balls, 3 black balls and 2 red balls of the same size. A ball is selected at random from the box and then replaced. A second ball is then selected. Find the probability of obtaining(a) two red ball…
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1995
The table shows the scores of 2000 candidates in an entrance examination into a private secondary school.% Mark11-2021-3031-4041-5051-6061-7071-8081-90No of pupils6818429440248031016498(a) Prepare a cumulative frequency…
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1995
(a) A man travels from a village X on a bearing of 060° to a village Y which is 20km away. From Y, he travels to a village Z, on a bearing of 195°. If Z is directly east of X, calculate, correct to three significant fig…
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1995
(a) Using a ruler and a pair of compasses only, construct triangle ABC with /AB/ = 7.5cm, /BC/ = 8.1cm and < ABC = 105°.(b) Locate a point D on BC such that /BD/ : /DC/ is 3 : 2.(c) Through D, construct a line I perp…
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1995
(a) Copy and complete the table for the relation \(y = 2 \cos 2x - 1\).x0°30°60°90°120°150°180°\(y = 2\cos 2x - 1\)1.001.0(b) Using a scale of 2cm = 30° on the x- axis and 2cm = 1 unit on the y- axis, draw the graph of…
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1995
(a) Given that \(p = x + ym^{3}\), find m in terms of p, x and y.(b) Using the method of completing the square, find the roots of the equation \(x^{2} - 6x + 7 = 0\), correct to 1 decimal place.(c) The product of two co…
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1995
(a) Using mathematical tables, find ; (i) \(2 \sin 63.35°\) ; (ii) \(\log \cos 44.74°\);(b) Find the value of K given that \(\log K - \log (K - 2) = \log 5\);(c) Use logarithm tables to evaluate \(\frac{(3.68)^{2} \time…
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1995
The frequency table shows the marks scored by 32 students in a test.Marks scored12345678910No of students2344445321Find the :(a)(i) mean ; (ii) median ; (iii) mode of the marks;(b) percentage of the students who scored…
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1995
(a) A pack of 52 playing cards is shuffled and a card is drawn at random. Calculate the probability that it is either a five or a red nine.[Hint : There are 4 fives and 2 red nines in a pack of 52 cards](b) P, Q and R a…
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1995
(a) In the diagram, PQSR and SRYZ are parallelograms and PQYZ is a straight line. If /QY/ = 2cm and /RS/ = 3cm, find /PZ/.(b) P and Q are two towns on the earth's surface on latitude 56°N. Thei longitudes are 25°E and 9…
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1995
The quantity y is partly constant and partly varies inversely as the square of x.(a) Write down the relationship between x and y.(b) When x = 1, y = 11 and when x = 2, y = 5, find the value of y when x = 4.
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1995
(a) Factorise : \(px - 2px - 4qy + 2py\)(b) Given that the universal set U = {1, 2, 3, 4,5, 6, 7, 8, 9, 10}, P = {1, 2, 4, 6, 10} and Q = {2, 3, 6, 9}; show that \((P \cup Q)' = P' \cap Q'\)