2023
A boat sails 8 km north from P to Q and then sails 6 km west from Q to R. Calculate the bearing of R from P. Give your answer to the nearest degree.
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2023 JAMB UTME Mathematics Past Questions
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2023
If D = \(\begin{bmatrix}2& -1&3\\4&1&2\\1&-3&1\\\end{bmatrix}\)Find |D|
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2023
A committee of 5 people is to be chosen from a group of 6 men and 4 women. How many committees are possible if there is to be a majority of women?
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2023
The ages of students in a small primary school were recorded in the table below.Age 5 - 6 7 - 8 9 -10Frequency 29 40 38 Estimate the mean
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2023
Evaluate the following limit: \(lim_{x\to2} \frac {x^2 + 4x - 12}{x^2 - 2x}\)
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2023
At simple interest, a man made a deposit of some money in the bank. The amount in his bank account after 10 years is three times the money deposited. If the interest rate stays the same, after how many years will the am…
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2023
Find the value of t, if the distance between the points P(3, 14) and Q(t, 5) is 9 units.
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2023
If \(\frac{3 - \sqrt3}{2 + \sqrt 3} = a + b\sqrt3\), what are the values a and b?
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2023
Divide 1101001\(_{two}\) by 101\(_{two}\)
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2023
If a car runs at a constant speed and takes 4.5 hrs to run a distance of 225 km, what time will ittake to run 150 km?
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2023
The diagram above is a circle with centre C. P, Q and S are points on the circumference. PS and SR are tangents to the circle. ∠PSR = 36\(^{\circ}\). Find ∠PQR
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2023
Solve for x: 3(x 1) ≤ 2 (x 3)
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2023
Make x the subject of the formula:y = \(\frac{3x - 9c}{4x + 5d}\)
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2023
The area A of a circle is increasing at a constant rate of 1.5 cm\(^2s^{-1}\). Find, to 3 significant figures, the rate at which the radius r of the circle is increasing when the area of the circle is 2 cm\(^2\).
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2023
The interior angle of a regular polygon is five times the size of its exterior angle. Identify the polygon.
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2023
The population of a village decreased from 1,230 to 1,040 due to breakout of an epidemic. What is the percentage decrease in the population?
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2023
Evaluate \(\int_0^1 4x - 6\sqrt[3]{x^2}dx\)
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2023
Let '*' and '^' be two binary operations such that a * b = a\(^2\)b and a ^ b = 2a + b. Find (-4 * 2) ^ (7 * -1).
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2023
Evaluate: 16\(^{0.16}\) × 16\(^{0.04}\) × 2\(^{0.2}\)
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2023
How many different 8 letter words are possible using the letters of the word SYLLABUS?
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