1993
A stick of length 1.75m was measured by a boy as 1.80m. Find the percentage error in his measurement
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1993 WAEC SSCE Mathematics Past Questions
1993
Convert 89ten to a number in base two.
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1993
Solve the inequality: 3m + 3 > 9
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1993
Simplify: 3/4 + 11/4 x (11/2-2/3)
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1993
S = (1, 2, 3, 4, 5, 6), T = (2,4,5,7) and R = (1,4, 5), and (S∩T) ∪ R
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1993
P and Q are two points on latitude 55°N and their longitudes are 33°W and 20°E respectively. Calculate the distance between P and Q measured along (a) the parallel of latitude ;(b) a great circle. [Take \(\pi = \frac{22…
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1993
The table below shows the frequency distribution of the marks scored by fifty students in an examination.Marks (%)0-910-1920-2930-3940-4950-5960-6970-7980-8990-99Freq234613105322(a) Draw the cumulative frequency curve f…
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1993
(a) Copy and complete the following table of values for \(y = 3\sin 2\theta - \cos \theta\).\(\theta\)0°30°60°90°120°150°180°y-1.001.0(b) Using a scale of 2cm to 30° on the \(\theta\) axis and 2cm to 1 unit on the y- ax…
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1993
(a) What is the 25th term of 5, 9, 13,... ?(b) Find the 5th term of \(\frac{8}{9}, \frac{-4}{3}, 2, ...\).(c) The 3rd and 6th terms of a G.P are \(48\) and \(14\frac{2}{9}\) respectively. Write down the first four terms…
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1993
(a) Prove that the angle which an arc of a circle subtends at the centre is twice that which it subtends at any point on the remaining part of the circumference.(b) In the diagram, O is the centre of the circle ACDB. If…
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1993
(a) In the diagram, BA is parallel to DE. Find the value of x.(b) Illustrate graphically and shade the region in which inequalities \(y - 2x < 5 ; 2y + x \geq 4 ; y + 2x \leq 10\) are satisfied.
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1993
(a)(i) Given that \(\log_{10} 5 = 0.699\) and \(\log_{10} 3 = 0.477\), find \(\log_{10} 45\), without using Mathematical tables.(ii) Hence, solve \(x^{0.8265} = 45\).(b) Use Mathematical tables to evaluate \(\sqrt{\frac…
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1993
A box contains identical balls of which 12 are red, 16 white and 8 blue. Three balls are drawn from the box one after the other without replacement. Find the probability that :(a) three are red;(b) the first is blue and…
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1993
(a) Simplify \(\frac{3}{m + 2n} - \frac{2}{m - 3n}\)(b) A number is made up of two digits. The sum of the digits is 11. If the digits are interchanged, the original number is increased by 9. Find the number.
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1993
A simple measuring device is used at points X and Y on the same horizontal level to measure the angles of elevation of the peak P of a certain mountain. If X is known to 5,200m above sea level, /XY/ = 4,000m and the mea…
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1993
The universal set \(\varepsilon\) is the set of all integers and the subset P, Q, R of \(\varepsilon\) are given by:\(P = {x : x < 0} ; Q = {... , -5, -3, -1, 1, 3, 5} ; R = {x : -2 \leq x < 7}\)(a) Find \(Q \cap…
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1993
(a) Simplify, without using mathematical tables: \(\log_{10} (\frac{30}{16}) - 2 \log_{10} (\frac{5}{9}) + \log_{10} (\frac{400}{243})\)(b) Without using mathematical tables, calculate \(\sqrt{\frac{P}{Q}}\) where \(P =…
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