In Mathematics / College | 2025-07-07

HASSAN
(f) SONGORO MNYONGE SECONDARY SCIIOOL

FORM TIIREE(B-F) TERMINAL EXAMINATION

Answer all questions
1. Write the number 0.02758 correct to
a) 2 significant ligure
b) 3 decimal places
2. Factorize completely
a) [tex]$2 x^2-x y-y^2$[/tex]
b) [tex]$4-(a-1)^2$[/tex]
3. a) Rationalize the denominator [tex]$\frac{2 \sqrt{3}-2}{\sqrt{3}+1}$[/tex]
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b) Find the value of [tex]$n$[/tex] from the equation [tex]$\left(\frac{1}{2}\right)^n \times\left(\frac{1}{4}\right)^{2 n}=16$[/tex]
4. Solve the following equation by quadratic formula [tex]$25 x^2+10 x+1=0$[/tex]
5. In a class of 45 students, 25 takes history, 27 takes geography. If the total number of those who take history and geography is 37 find
a. The number of students who take both history and geography
b. The number of students who takes history only
c. The number of students who takes neither history nor geography
6. a) If A is an acute angle and [tex]$\cos A =\frac{12}{13}$[/tex] find [tex]$\tan A$[/tex]
b) A ladder is leaning against the wall, the length of the ladder is 10 meters. and the base of the ladder is 6 meters away from the wall, find the angle of elevation of the ladder.
7. a) Solve [tex]$\left\{\begin{array}{l}2 x+3 y=16 \\ 4 x-3 y=10\end{array}\right.$[/tex] by elimination method
b) Make [tex]$Q$[/tex] the subject of the formula [tex]$T=\frac{Q+R}{2 Q-S}$[/tex]
8. a) Given the function [tex]$g(x)=\frac{1}{3}-2 x$[/tex], find the inverse and [tex]$g$[/tex] (4)
b) Sketch the graph of [tex]$y=|x-3|$[/tex]
9. a) i) Given the set of data as follows; 2, 2, 3, 3, 3, 4, 7, 8, 9 lind MODE:

Asked by salimbrianhassan2006