2018
(a) In a right-angled triangle, sin X = \(\frac{3}{5}\). Evaluate, leaving the answer as a fraction, 5 (cosX)\(^2\) 3.(b) The base of a pyramid, 12 cm high, is a rectangle with dimensions 42 cm by 11 cm. if the pyramid…
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2018 WAEC SSCE Mathematics Past Questions
2018
The sum of the first ten terms of an Arithmetic Progression (A.P.) is 130. If the fifth term is 3 times the first term, find the:common difference;first term;number of terms of the A.P. if the last term is 28.
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2018
(a) Mr John paid N4,800.00 in N1.00 ordinary shares of a company which sold at N2.50 per share. If dividend was declared at 25k per share, how much dividend did he get? (b) Using the method of completing the square, sol…
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2018
1. If log\(_a\)(y + 2) = 1 + log\(_a\) x, find x in terms of y.2. The table shows the distribution of timber production in five communities in a certain yearCommunityTimber Production (tonnes)BibianiAmenfiOdaWiawsoSankor…
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2018
a) Copy and complete the following table of values for y = 2 cos x sin x ,\(0^o \leq x \leq 300^o\)\(\begin{array}{c|c} x & 0^o & 30^o & 60^o & 90^o & 120^o & 150^o & 180^o & 210^o &…
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2018
1. A donkey is tied with a rope to a post which is 15 m from a fence. If the length of the rope between the donkey and the post is 17m, calculate the length of the fence within the reach of the donkey.2. The base of a r…
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2018
(a) Using ruler a pair of compasses only, construct:(i) a trapezium PQRS such that |PQ| = 6.8 cm, < PQR = 120\(^o\), QR||PS, |PS| =10.6 cm, and IPRI = 93 cm;(ii) locus \(l_1\) of points equidistant from P and R;(iii)…
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2018
A shop had two reduction sales during which prices of all items were reduced by 40% in the first sales and 30% in the second.If a shirt was sold at GH₵35.00 during the second reduction sales, find the price before the f…
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2018
(a) If tan x = \(\frac{5}{12}\), \(0^o\). < x < 90°, evaluate, without using Mathematical tables or calculator, \(\frac{sin x}{(sin x)^2 + cosx}\) (b) The diagram shows a rectangular lawn measuring 14m by 11m. A…
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2018
The table shows the distribution of sources obtained when a fair diwe was rolled 50 times.Score123456Frequency2513119101. Draw a bar chart for the distribution2. Calculate the mean score of the distribution
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2018
(a) The diagram, = IWYI = IXZI and < WXY = 80\(^o\). What is the size of < XWZ?(b) A man was charged 2 kobo per month for every N1.00 he borrowed from a bank. At what rate per annum was the interest charged?
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2018
The diagram shows an athletics track with two parallel sides and two semi-circular ends Each of the parallel sides is 60 metres, long and the diameter of each semi-circular end is 120 metres long.(a) Calculate the dista…
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2018
Musa is three years older than Manya. Seven years ago, Musa was twice as old as Manya. (1) How old are they now? (2) When will the sum of them be 45?
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2018
(a) Evaluate without using calculator, (\(\frac{1}{4} \times 9\frac{1}{7} + \frac{2}{5} (\frac{2}{2} + \frac{3}{4})) \div (\frac{2}{5} - \frac{1}{4})\)(b) A hunter walked 250 m from point P to Q on a bearing 042\(^o\).…
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2018
Marks102030405060708090Frequency11x5y1431The frequency distribution shows the marks distribution of a class of 30 students in an examination.The mean mark of the distribution is 52.(a) Find the values of x and y.(b) Con…
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2018
(a) If \(x = \begin{pmatrix} 2 \\ 3 \end{pmatrix}, y = \begin{pmatrix} 5 \\ -2 \end{pmatrix}\) and \(z = \begin{pmatrix} -4 \\ 13 \end{pmatrix}\), find the scalars p and q such that \(px + qy = z\).(b)(i) Using the scal…
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2018
(a) Copy and complete the table of values for y = 2x\(^{2}\) + x - 10 for -5 \(\leq\) x \(\leq\) 4.x-5-4-3-2-101234y5-9-100(b) Using scales of 2cm to 1 unit on the x- axis and 2cm to 5 units on the y- axis, Draw the gra…
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2018
(a) In < PQS, |PQ| = 12 cm, |PS| = 5 cm, < SPQ = < PRQ = 90°, Find, correct to three significant figures, |PR|.(b) The length of two ladders, L and M are 10m and 12m respectively. They are placed against a wal…
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2018
In the diagram, |PT| = 4 cm, |TS| = 6 cm, |PQ| = 6 cm and < SPR = 30°. Calculate, correct to the nearest whole number:(a) |SR| ;(b) area of TQRS.
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2018
(a) Lamin bought a book for N300.00 and sold it to Bola at a profit of x%. Bola then sold the same book at a profit of x%. If James paid \(N(6x + \frac{3}{4})\) more for the book than Lamin paid, find the value of x.(b)…
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