UNIBEN Engineering and Physical Sciences Post UTME General Paper Past Questions

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The interior angle of a regular polygon is thrice the exterior angle. How many sides has the polygon?

Given that \(\sin \theta = \frac{5}{13}\), find the value of \(\cfrac{2 - \sec^2\theta}{1 + \cot \theta}\)

The angle of depression of a boat at sea from the top of a cliff is \(82^{\circ}\). What is the angle of elevation of the top of the cliff from the boat?

In the diagram, find the value of x.

Point P, Q and R are located in the sale horizontal plane such that Q is 12km north of P and R is on a bearing of 270 from P. If[PR] = 6km, calculate with respect to one decimal place [QR]

In the diagram, AB, CD and EF are parallel lines. Find the value of n.

Evaluate the following determinant \(\left| \begin{matrix} 2 & -1 & -3 \\ -5 & 2 & 4 \\ 1 & 0 & -6 \end{matrix} \right|\)

Solve the inequality \(\frac{m}{3} + \frac{1}{4} > \frac{3m}{8}\)

The third term of a geometric progression (G.P) is 63 and the fifth term is 567 find the sum of the first six terms of the progression.

Find the sum of the first twenty linear sequences 5, 9, 13, 17...

If \((x + 3)\) varies directly as \(y\) and \(x = 3\) when \(y = 12\), what is the value of \(x\) when \(y = 8\)?

When repaying a loan, the number of monthly payments, m, varies inversely with the amount of each payment, ₦A. If the loan can be repaid by 10 monthly payments of ₦1,350, find how long it takes to repay the loan with mon…

P varies directly with R and inversely with the square of Q. P = 12 when R = 18 and Q = 2. Find the constant, K of the variation

Given that \(Q(x) = ax^2 + bx + 1\) and \(Q(1) = 6\) and \(Q(-1) = 2\), determine the value of a and b.

Given that \(p(x) = 2x^3 + 5x^2 - 9x - 18\), find the value of \(p(-1)\)

Without using tables, simplify \(\log_93 + \log_9243 - 2\log_93\)

Express y in terms of x if \(\frac{1}{2}\log_2(y + 3) = 2x\)

Simplify \(\log_327 + 2\log_39 - \log_354\)

Solve the equation \(3^{x} = \frac{1}{81}\)

A businessman decided to give 10% discount on all the purchases from his store.How much would a customer pay for a shirt originally marked N540?

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