In a class of 80 students, every students studies Economics pr geography or both. If 65 students study Economics and 50 study Geography, how many study both subjects?
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2001
Evaluate \(log_{10}5 + log_{10}20\)
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2001
Evaluate \((20_{three})^2 - (11_{three})^2\) in base three
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2001
Which of the following correctly expresses 48 as a product of prime factors?
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2001
(a) A boy blew his rubber balloon to a spherical shape. The balloon burst when its diameter was 15 cm. Calculate, correct to the nearest whole number, the volume of air in the balloon at the point of bursting. [Take \(\…
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2001
In the diagram, three points A, B and C are on the same horizontal ground. B is 15m from A, on a bearing of 053°, C is 18m from B on a bearing of 161°. A vertical pole with top T is erected at B such that < ATB = 58…
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2001
(a) The roots of the equation \(2x^{2} + (p + 1)x + 9 = 0\), are 1 and 3, where p and q are constants. Find the values of p and q.(b) The weight of an object varies inversely as the square of its distance from the centr…
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2001
(a) The probabilities that three boys pass an examination are \(\frac{2}{3}, \frac{5}{8}\) and \(\frac{3}{4}\) respectively. Find the probability that : (i) all three boys pass ; (ii) none of the boys pass ; (iii) only…
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2001
(a) In a market survey, 100 traders sell fruits, 40 sell apples, 46 oranges, 50 mangoes, 14 apples and oranges, 15 apples and mangoes and 10 sell the three types of fruits. Each of the 100 traders sells at least one of…
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2001
The number of child births recorded in 50 maternity centres of a local government in August 1993 are as follows :50 99 81 86 69 85 93 63 92 65 77 74 76 71 90 74 81 94 67 75 95 81 68 105 99 68 75 75 76 73 79 74 80 69 74…
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2001
(a) Draw the table of values for the relation \(y = x^{2}\) for the interval \(-3 \leq x \leq 4\).(b) Using a scale of 2 cm to 1 unit on the x- axis and 2 cm to 2 units on the y- axis, draw the graphs of : (i) \(y = x^{…
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2001
(a) In the diagram, MN || ST, NP || QT and < STQ = 70°. Find x.(b) In the diagram above, AC is a straight line, |BC| = |BD|, \(\stackrel\frown{BCD} = 50°\) and \(\stackrel\frown{BAD} = 55°\). Find \(\stackrel\frown…
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2001
The diagram above shows the bar charts representing the number of vehicles manufactured by a company in January, February and March, 1992.(a) How many vehicles were produced in February?(b) What fraction of the vehicles…
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2001
The sides of a rectangular floor are xm and (x + 7)m. The diagonal is (x + 8)m. Calculate, in metres :(a) the value of x ;(b) the area of the floor.
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2001
(a) Simplify : \(\frac{1}{3^{5n}} \times 9^{n - 1} \times 27^{n + 1}\)(b) The sum of the ages of a woman and her daughter is 46 years. In 4 years' time, the ratio of their ages will be 7 : 2. Find their present ages.
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2001
Given that \(\log_{10} 2 = 0.3010\) and \(\log_{10} 3 = 0.4771\), calculate without using mathematical tables or calculator, the value of :(a) \(\log_{10} 54\) ;(b) \(\log_{10} 0.24\).