JAMB MOCK QUESTIONS MATHEMATICS 1. evaluate cos 60 / sin 30 A. O B. 2 C. /2 D. 1 2. if y varies directly as x and y = 12 and x = 4, find y when x = 10 A. 48 B. 30 C. 32 D. 120 3. Simplify log3 + log4 - logy A. log72 B. log12 C. log2 D. logy 4. In a club with five members, how many ways can the president, vice president and secretary be chosen A. 120 B. 20 C. 60 D. 10 5. In how many ways can three students be selected from a class of 10 students A. 120 B. 30 C. 360 D. 720 6. If f(x) = 2x3-5x2+kx-4 has a factor of (x-1). Find the value of k A. 3 B. 5 C. 7 D. 9 7. What is the probability of obtaining an even sum if a die is rolled twice A. 0.5 B. 0.3 C. 0.4 D. 0.6 8. [100] [010] [10011] The matrix above is referred to A. transpose matrix B. inverse matrix C. compose matrix D. unit matrix Follow for more updates https://whatsapp.com/channel/0029VarOc8iCHDyu2Jzsdc3g
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Here are the solutions to the questions:
1. evaluate cos 60 / sin 30
Step 1: Recall the standard trigonometric values for $\cos 60^\circ$ and $\sin 30^\circ$.
$$ \cos 60^\circ = \frac{1}{2} $$
$$ \sin 30^\circ = \frac{1}{2} $$
Step 2: Substitute these values into the expression.
$$ \frac{\cos 60^\circ}{\sin 30^\circ} = \frac{\frac{1}{2}}{\frac{1}{2}} $$
Step 3: Simplify the expression.
$$ \frac{\frac{1}{2}}{\frac{1}{2}} =
