A sum of N18,100 was shared among 5 boys and 4 girls with each boy taking N20.00 more than each girl. Find a boy's share.
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2017
Solve the equation: \(\frac{1}{5x} + \frac{1}{x}\)= 3
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2017
If x = \(\frac{2}{3}\) and y = - 6, evaluate xy - \(\frac{y}{x}\)
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2017
Given that a = log 7 and b = \(\log\) 2, express log 35 in terms of a and b.
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2017
If M = {x : 3 \(\leq\) x < 8} and N = {x : 8 < x \(\leq\) 12}, which of the following is true?i. 8 \(\in\) M \(\cap\) Nii. 8 \(\in\) M \(\cup\) Niii. M \(\cap\) N = \(\varnothing\)
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2017
The ages of Tunde and Ola are in the ratio 1:2. If the ratio of Ola's age to Musa's age is 4:5, what is the ratio of Tunde's age to Musa's age?
If x varies inversely as y and y varies directly as z, what is the relationship between x and z?
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2017
Express 0.0000407, correct to 2 significant figures
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2017
(a) The operation (*) is defined on the set of real numbers, R, by \(x * y = \frac{x + y}{2}, x, y \in R\).(i) Evaluate \(3 * \frac{2}{5}\).(ii) If \(8 * y = 8\frac{1}{4}\), find the value of y.(b) In \(\Delta ABC, \ove…
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2017
(a) Using completing the square method, solve, correct to 2 decimal places, the equation \(3y^{2} - 5y + 2 = 0\).(b) Given that \(M = \begin{pmatrix} 1 & 2 \\ 4 & 3 \end{pmatrix}, N = \begin{pmatrix} m & x \…
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2017
(a) It takes 8 students two- thirds of an hour to fill 12 tanks with water. How many tanks of water will 4 students fill in one- third of an hour at the same rate?(b) A chord, 20 cm long, is 12 cm from the centre of the…
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2017
(a) Given that \(\sin x = \frac{5}{13}, 0° < x < 90°\), find \(\frac{\cos x - 2\sin x}{2\tan x}\).(b) A ladder, LA, leans against a vertical pole at a point L which is 9.6metres above the groung. Another ladder, L…
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2017
(a) PQ is a tangent to a circle RST at the point S. PRT is a straight line, < TPS = 34° and < TSQ = 65°.(i) Illustrate the information in a diagram; (ii) find the value of : (a) < RTS ; (b) < SRP.(b) In the…
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2017
Marks12345Number of studentsm + 2m - 12m - 3m + 53m - 4The table shows the distribution of marks scored by some students in a test.(a) If the mean mark is \(3\frac{6}{23}\), find the value of m.(b) Find the : (i) interq…
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2017
(a) Copy and complete the table of values for the equation \(y = 2x^{2} - 7x - 9\) for \(-3 \leq x \leq 6\).x-3-2-10123456y13-9-14-126(b) Using scales of 2cm to 1 unit on the x- axis and 2cm to 4 units on the y- axis, d…
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2017
(a) A manufacturing company requires 3 hours of direct labour to process N87.00 worth of raw materials. If the company uses N30,450.00 worth of raw materials, what amount should it budget at N18.25 per hour?(b) An inves…
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2017
Out of 120 customers in a shop, 45 bought both bags and shoes. If all the customers bought either bags or shoes and 11 more customers bought shoes than bags:(a) Illustrate the this information in a diagram;(b) find the…
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2017
If the sixth term of an Arithmetic Progression (A.P) is 37 and the sum of the first six terms is 147, find the (a) first term; (b) sum of the first fifteen terms.