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Questions in Grade College
[Free] HASSAN ($\mu$ SONGORO MNYONGE SECONDARY SCIIOOL FORM TIIREE(B-F) TERMINAL EXAMINATION Instructions Answer all questions 1. Write the number 0.02758 correct to a) 2 significant figure b) 3 decimal places 2. Factorize completely a) $2 x^2-x y-y^2$ b) $4-(a-1)^2$ 3. a) Rationalize the denominator $\frac{2 \sqrt{3}-2}{\sqrt{3}+1}$ b) Find the value of $n$ from the equation $\left(\frac{1}{2}\right)^n \times\left(\frac{1}{4}\right)^{2 n}=16$ 4. Solve the following equation by quadratic formula $25 x^2+10 x+1=0$ 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 $\cos A =\frac{12}{13}$ find $\tan A$ b) A ladder is leaning against the wall, the length of the ladder is $10^6$ 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 $\left\{\begin{array}{l}2 x+3 y=16 \\ 4 x-3 y=10\end{array}\right.$ by elimination method b) Make $Q$ the subject of the formula $T=\frac{Q+R}{2 Q-S}$ 8. a) Given the function $g(x)=\frac{1}{3}-2 x$, find the inverse and $g(4)$ b) Sketch the graph of $y=|x-3|$ 9. a) i) Given the set of data as follows; 2, 2, 3, 3, 3, 4, 7, 8, 9 find MODE
[Free] Which is equivalent to $3 \log _2 8+4 \log _2 \frac{1}{2}-\log _3 2$? A. $5-\log _3 2$ B. $16-\log _3 2$ C. $\log _2 48-\log _3 2$ D. $\log _3 32$
[Free] Adolescents tend to overestimate their peers' misuse of substances. A. True B. False
[Free] Solve for x. 3x = 6x - 2
[Free] Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. The endpoints of $\overline{ AB }$ are $A (-7,-14)$ and $B (5,10)$. Into which ratio will each point divide $\overline{ AB }$ ? 1:2 4:3 2:1 3:1 $C (-3,-6)$
[Free] Write $\frac{3}{4 r}+\frac{2}{p}$ as a single fraction in its simplest form.
[Free] Temperament, the precursor to personality, is a(n) _____ construct. A. biological B. random C. variable D. environmental
[Free] After Congress has approved a proposed amendment to the Constitution, what then must take place before that amendment becomes law? A. The president must approve it. B. Three-quarters of the states must approve it. C. The Supreme Court must approve it. D. Half of the states must approve it.
[Free] If a learner is requiring more and more prompting to perform a skill, the first concern is: A. The learner is losing cognitive ability. B. The learner is becoming prompt dependent. C. The staff member is not trained. D. The staff member is not willing to implement the skill program.
[Free] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
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