A boy measured the length and breath of a rectangular lawn as 59.6m and 40.3m respectively instead of 60m and 40m. What is the percentage error in his calculation of the perimeter of the lawn?
The 6th term of a G.P is -2 and its first term is 18. What is the common ratio?
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1996
Two men P and Q set off from a base camp R, prospecting for oil. P moves 20km on a bearing of 205° and Q moves 15km on a bearing of 060°. Calculate the:(a) distance of Q from P ;(b) bearing of Q from P.(Give your answer…
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1996
(a) P and Q are points on the parallel of latitude 68.7°S, their longitudes being 124°W and 56°E respectively. What is their distance apart measured along the parallel of latitude? [Take R = 6400km, \(\pi = 3.142\)]. (G…
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1996
(a) Make d the subject of the formula \(S = \frac{n}{2}[2a + (n - 1) d]\).(b) (i) In the diagram, O is the centre of the circle, A, B and P are points on the circumference. Prove that < AOB = 2 < APB.(ii) Find the…
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1996
(a) Copy and complete the table for \(y = 3x^{2} - 5x - 7\)x-3-2-101234\(y = 3x^{2} - 5x - 7\)35-7-95(b) Using a scale of 2cm = 1 unit along the x- axis and 2cm = 5 units along the y- axis, draw the graph of \(y = 3x^{2…
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1996
(a) Find the number N such that when \(\frac{1}{3}\) of it is added to 8, the result is the same as when \(\frac{1}{2}\) of it is subtracted from 18.(b) Using a ruler and a pair of compasses only, construct a trapezium…
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1996
(a) The universal set U is the set of integers, P, Q and R are subsets of U defined as follows:\(P = x : x \leq 2 \) ; \(Q = x : -7 < x < 15\) ; \(R = x : -2 \leq x < 19\).Find (i) \(P \cap Q\) ; (ii) \(P \cap…
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1996
(a) Without using tables, find the value of \(\frac{0.45 \times 0.91}{0.0117}\)(b) Find the number which is exactly halfway between \(1\frac{6}{7}\) and \(2\frac{11}{28}\).(c) If each interior angle of a regular polygon…
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1996
(a) ABCD is a trapezium with AB parallel to DC and /AD/ = /AB/. If < BAD = 106°, find < BDC.(b) The table below shows the distribution of 20 cards labelled A - E.CardABCDEFrequency34751(i) If a card is selected at…
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1996
(a) If \(\log_{10} 2 = 0.3010\) and \(\log_{10} 3 = 0.4771\), calculate without using tables, the value of \(\log_{10} 0.72\).(b) A hawk on top of a tree, 20 metres high views a chick on the ground at an angle of depress…
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1996
The table below shows the marks obtained by forty pupils in a Mathematics test.Marks0 - 910 - 1920 - 2930 - 3940 - 4950 - 59No of pupils4561285(a) Draw a histogram for the mark distribution ;(b) Use your histogram to es…
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1996
(a) Solve the simultaneous equation : \(6y + 5x = 12 ; 4y - 3x = 11\).(b) In the diagram, ADC is a straight line. /CD/ = 48 cm, /BD/ = 36 cm and /AD/ = y cm. Find the value of y.
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1996
A shopkeeper buys 40 kg of fruits for N120.00. He sells 20 kg at N5.00 per kg, 10 kg at N3.00 per kg, 5 kg at N2.00 per kg and the remaining 5 kg at 50k per kg. Calculate the :(a) amount he realises from the sales ;(b)…