1985
In the figure, the area of the shaded segment is
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1985 JAMB UTME Mathematics Past Questions
1985
In the figure, PQ is the tangent from P to the circle QRS with SR as its diameter. If QRS = \(\theta\)\(^{\circ}\)and RQP = \(\phi\)\(^{\circ}\), which of the following relationships between \(\theta\)\(^{\circ}\) and \(…
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1985
In the figure, GHIJKLMN is a cube of side a. Find the length of HN.
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1985
In the figure, MNQP is a cyclic quadrilateral. MN and Pq are produced to meet at X and NQ and MP are produced to meet at Y. If MNQ = 86\(^{\circ}\) and NQP = 122\(^{\circ}\) find (x\(^{\circ}\), y\(^{\circ}\))
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1985
In \(\bigtriangleup\) XYZ, XKZ = 90O, XK = 15cm, XY = 35cm and YK = 8cm. Find the area of \(\bigtriangleup\)XYZ
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1985
If a{\(\frac{x + 1}{x - 2} - \frac{x - 1}{x + 2}\)} = 6x. Find a in its simplest form
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1985
In a class of 120 students, 18 of them scored an A grade in mathematics. If the section representing the A grade students on a pie chart has angle Zo at the centre of the circle, what is Z?
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1985
A bag contains 4 white balls and 6 red balls. Two balls are taken from the bag without replacement. What is the probability that they are both red?
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1985
PRSQ is a trapezium of area 14cm2 in which PQ||RS. If PQ = 4cm and SR = 3cm, Find the area of SQR in cm2
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1985
A solid sphere of radius 4cm has a mass of 64kg. What will be the mass of a shell of the same metal whose internal and external radii are 2cm and 3cm respectively?
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1985
If cos \(\theta\) = \(\frac{\sqrt{3}}{2}\) and \(\theta\) is less than 90o. Calculate cos\(\frac{90 - \theta}{sin^2\theta}\)
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1985
Find the area of a regular hexagon inscribed in a circle of radius 8cm
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1985
What is the probability that a number chosen at random from the intergers between 1 and 10 inclusive is either a prime or a multiple of 3?
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1985
Without using table, calculate the value of 1 + sec2 30o
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1985
The bearing of a bird on a tree from a hunter on the ground is ₦72oE. What is the bearing of the hunter from the birds?
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1985
The ratio of the length of two similar rectangular blocks is 2 : 3. If the volume of the larger block is 351cm3, then the volume of the other block is
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1985
If two fair coins are tossed, what is the probability of getting at least one head?
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1985
If the hypotenuse of right angled isosceles triangle is 2, what is the length of each of the other sides?
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1985
The number of goals scored by a football team in 20 matches is shown below:\(\begin{array}{c|c} \text{No. of goals} & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline \text{No. of matches} & 3 & 5 & 7…
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1985
Find the missing value in the table below:\(\begin{array}{c|c} x & -4 & -3 & -2 & -1 & 0 & 1 & 2 & 3 \\ \hline y = 4 - 3x - x^3 & 80 & & 18 & 8 & 4 & 0 & -10 &a…
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