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Further Mathematics Past Questions

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551

The table shows the marks obtained by some candidates in Physics (y) and Mathematics (x) tests.

Mathematics 43 46 48 39 30 60 8 45 40
Physics 54 53 63 30 44 75 20 33 49

(a)(i) Represent this information on a scatter diagram.

(ii) Find \(\bar{x}\) and \(\bar{y}\), the mean of x and y respectively.

(iii) Draw the line of best fit to pass through (x, y).

(b) Find the equation of the line in a(iii).

(c) Use your equation in (b) to find, correct to one decimal place, the mark in Physics for a candidate who scored 28 in Mathematics.

View Answer & Discuss WAEC 2007
552

(a) Find, correct to one decimal place, the angle between  \(p = \begin{pmatrix}  3 \\ -1 \end{pmatrix}\) and \(q = \begin{pmatrix} 3 \\ 4 \end{pmatrix}\).

(b) ABCD is a square with vertices at A(0, 0), B(2, 0), C(2, 2) and D(0, 2). Forces of magnitude 10 N, 15 N, 20 N and 5 N act along \(\overrightarrow{BA}, \overrightarrow{BC}, \overrightarrow{DC}\) and \(\overrightarrow{AD}\) respectively. Find the (i) magnitude (ii) direction; of the resultant.

View Answer & Discuss WAEC 2007
553

If \(\begin{vmatrix} x - 3 & -4 & 3 \\ 5 & 2 & 2 \\ 2 & -4 & 6 - x \end{vmatrix} = -24 \), find the values of x.

View Answer & Discuss WAEC 2018
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554

Given that \(\log_{3} x - 3\log_{x} 3 + 2 = 0\), find the values of x.

View Answer & Discuss (4) WAEC 2018
555

(a) Using the substitution \(u = x - 2\), write \(\frac{x^{3} + 5}{(x - 2)^{4}}\) as an expression in terms of u.

(b) Using the answer in (a), express \(\frac{x^{3} + 5}{(x - 2)^{4}}\) in partial fractions.

View Answer & Discuss (1) WAEC 2018
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