2007
Simplify \((0.3\times 10^{5})\div (0.4\times 10^{7})\)leaving your answer in standard form
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2007 WAEC SSCE Mathematics Past Questions
2007
Find the LCM of \(2^{3}\times 3\times 5^{2}, 2\times 3^{2}\times 5 \hspace{1mm}and \hspace{1mm}2^{2}\times 3^{2}\times 5\)
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2007
Evaluate \((111_{two})^2\) and leave your answer in base 2
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2007
In a college, the number of absentees recorded over a period of 30 days was as shown in the frequency distribution tableNumber of absentees0-45-910-1415-1920-24Number of Days 151095Calculate the : (a) Mean(b) Standard d…
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2007
(a) The 3rd and 8th terms of an arithmetic progression (A.P) are -9 and 26 respectively. Find the : (i) common difference ; (ii) first term.(b) In the diagram \(\overline{PQ} || \overline{YZ}\), |XP| = 2cm, |PY| = 3 cm,…
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2007
(a) In the diagram, AOB is a straight line. < AOC = 3(x + y)°, < COB = 45°, < AOD = (5x + y)° and < DOB = y°. Find the values of x and y.(b) From two points on opposite sides of a pole 33m high, the angles o…
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2007
(a) Simplify : \(\frac{x^{2} - y^{2}}{3x + 3y}\)(b) In the diagram, PQRS is a rectangle. /PK/ = 15 cm, /SK/ = /KR/ and <PKS = 30°. Calculate, correct to three significant figures : (i) /PS/ ; (ii) /SK/ and (iii) the…
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2007
(a) Using a ruler and a pair of compasses only, construc :(i) a triangle PQR such that /PQ/ = 10 cm, /QR/ = 7 cm and < PQR = 90° ; (ii) the locus \(l_{1}\) of points equidistant from Q and R ; (iii) the locus \(l_{2}…
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2007
(a) A cylinder with radius 3.5 cm has its two ends closed, if the total surface area is \(209 cm^{2}\), calculate the height of the cylinder. [Take \(\pi = \frac{22}{7}\)].(b) In the diagram, O is the centre of the cir…
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2007
(a) With the aid of four- figure logarithm tables, evaluate \((0.004592)^{\frac{1}{3}}\).(b) If \(\log_{10} y + 3\log_{10} x = 2\), express y in terms of x.(c) Solve the equations : \(3x - 2y = 21\) \(4x + 5y = 5\).
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2007
(a) Simplify : \(\frac{3\frac{1}{12} + \frac{7}{8}}{2\frac{1}{4} - \frac{1}{6}}\)(b) If \(p = \frac{m}{2} - \frac{n^{2}}{5m}\) ; (i) make n the subject of the relation ; (ii) find, correct to three significant figures,…
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2007
Out of the 24 apples in a box, 6 are bad. If three apples are taken from the box at random, with replacement, find the probability that :(a) the first two are good and the third is bad ;(b) all three are bad ;(c) all th…
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2007
Y is 60 km away from X on a bearing of 135°. Z is 80 km away from X on a bearing of 225°. Find the :(a) distance of Z from Y ;(b) bearing of Z from Y.
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2007
The diagram shows the cross- section of a railway tunnel. If |AB| = 100m and the radius of the arc is 56m, calculate, correct to the nearest metre, the perimetre of the cross- section.
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2007
(a) Simplify : \(\frac{x^{2} - 8x + 16}{x^{2} - 7x + 12}\).(b) If \(\frac{1}{2}, \frac{1}{x}, \frac{1}{3}\) are successive terms of an arithmetic progression (A.P), show that \(\frac{2 - x}{x - 3} = \frac{2}{3}\).
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2007
(a) Evaluate, without using mathematical tables or calculator, \((3.69 \times 10^{5}) \div (1.64 \times 10^{-3})\), leaving your answer in standard form.(b) A man invested N20,000 in bank A and N25,000 in bank B at the…
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