2000
Simplify \(\left(\frac{16}{81}\right)^{-\frac{3}{4}}\times \sqrt{\frac{100}{81}}\)
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2000 WAEC SSCE Mathematics Past Questions
2000
What fraction must be subtracted from the sum of \(2\frac{1}{6}\) and \(3\frac{1}{4}\)?
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2000
Find the missing number in the addition of the following numbers, in base seven.\(\begin{matrix} & 4 & 3 & 2 & 1\\ & 1 & 2 & 3 & 4\\ & * & * & * & *\\ 1&2&3&4&a…
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2000
(a) Two places X and Y on the equator are on longitudes 67°E and 123°E respectively. (i) What is the distance between them along the equator? (ii) How far from the North pole is X? [Take \(\pi = \frac{22}{7}\) and radiu…
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2000
(a) The first term of an Arithmetic Progression (A.P) is 8. The ratio of the 7th term to the 9th term is 5 : 8. Calculate the common difference of the progression.(b) A sphere of radius 2 cm is of mass 11.2g. Find (i) t…
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2000
(a) A cylindrical well of radius 1 metre is dug out to a depth of 8 metres. (i) calculate, in m\(^{3}\), the volume of soil dug out ; (ii) if the soil is used to raise the level of rectangular floor of a room 4m by 12m,…
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2000
(a) A surveyor walks 100m up a hill which slopes at an angle of 24° to the horizontal. Calculate, correct to the nearest metre, the height through which he rises.(b) In the diagram, ABC is an isosceles triangle. |AB| =…
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2000
(a) The mean of 1, 2, x, 11, y, 14, arranged in ascending order, is 8 and the median is 9. Find the values of x and y.(b) In the diagram, MN || PQ, |LM| = 3cm and |LP| = 4cm. If the area of \(\Delta\) LMN is 18\(cm^{2}\…
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2000
(a) Copy and complete the following table of values for the relation \(y = x^{2} - 2x - 5\)x-3-2-1012345y-2-6-2310(b) Draw the graph of the relation \(y = x^{2} - 2x - 5\); using a scale of 2 cm to 1 unit on the x- axis…
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2000
(a) A man earns N150,000 per annum. He is allowed a tax free pay on N40,000. If he pays 25 kobo in the naira as tax on his taxable income, how much has he left?(b) A bookshop has 650 copies of a book for sale. The books…
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2000
(a) LimesApplesGood108Bad66The table shows the number of limes and apples of the same size in a bag. If two of the fruits are picked at random, one at a time, without replacement, find the probability that : (i) both ar…
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2000
The pie chart shows the distribution of marks scored by 200 pupils in a test. (a) How many pupils scored : (i) between 41 and 50 marks? ; (ii) above 80 marks ?(b) What fraction of the pupils scored at most 50 marks?(c)…
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2000
Using ruler and a pair of compasses only,(a) construct \(\Delta PQR\) such that |PQ| = 7 cm, |PR| = 6 cm and < PQR = 60°.(b) locate point M, the mid-point of PQ.(c) Measure < RMQ.
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2000
(a) Given the expression \(y = ax^{2} - bx - 12\) , find the values of x when a = 1, b = 2 and y = 3.(b) If \(\sqrt{x^{2} + 1} = \frac{5}{4}\), find the positive value of x.
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2000
(a) Given that \(\cos x = 0.7431, 0° < x < 90°\), use tables to find the values of : (i) \(2 \sin x\) ; (ii) \(\tan \frac{x}{2}\).(b) The interior angles of a pentagon are in ratio 2 : 3 : 4 : 4 : 5. Find the valu…
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2000
(a) Evaluate and express your answer in standard form : \(\frac{4.56 \times 3.6}{0.12}\)(b) Without using mathematical tables or calculator, evaluate \((73.8)^{2} - (26.2)^{2}\).(c) Simplify \(\sqrt{1\frac{19}{81}}\), e…
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