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Mathematics Past Questions

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2,359 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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2,359 questions

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Question 731

jamb 1997

The figure shows circles of radii 3cm and 2cm with centres at X and Y respectively. The circles have a transverse common tangent of length 25cm. Calculate XY

A\(\sqrt{630}\)cm

B\(\sqrt{626}\)cm

C\(\sqrt{615}\)cm

D\(\sqrt{600}\)cm

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Question 732

jamb 1997

Find the standard derivation of the following data -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5

C\(\sqrt{10}\)

D\(\sqrt{11}\)

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Question 733

jamb 1997

A number is selected at random between 10 and 20, both numbers inclusive. Find the probability that the number is an even number

A\(\frac{5}{11}\)

B\(\frac{1}{2}\)

C\(\frac{6}{11}\)

D\(\frac{7}{10}\)

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Question 734

jamb 1997

In a basket of fruits, there are 6 grapes, 11 bananas and 13 oranges, if one fruit is chosen at random, what is the probability that the fruit is either a grape or a banana?

A\(\frac{17}{30}\)

B\(\frac{11}{30}\)

C\(\frac{6}{30}\)

D\(\frac{5}{30}\)

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Question 735

jamb 1997

Find the difference between the range and the variance of the following set of numbers 4, 9, 6, 3, 2, 8, 10, 5, 6, 7 where \(\sum d^2\) = 60

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Question 736

jamb 1997

Ages	20	25	30	35	40	45
Number of people	3	5	1	1	2	3

Find the median age of the frequency distribution in the table above.

A20

B25

C30

D35

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Question 737

jamb 1997

If \(y = x(x^4 + x + 1)\), evaluate \(\int \limits_{0} ^{1} y \mathrm d x\).

A\(\frac{11}{12}\)

C\(\frac{5}{6}\)

Dzero

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Question 738

jamb 1997

Integrate \(\frac{1}{x}\) + cos x with respect to x

A-\(\frac{1}{x^2}\) + sin x + k

Bx + sin x - k

Cx - sin x + k

D-\(\frac{1}{x^2}\) - sin x + k

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Question 739

jamb 1997

\(\frac{d}{dx}\) cos(3x\(^2\) - 2x) is equal to

A-sin(6x - 2)

B-sin(3x² - 2x)dx

C(6x - 2) sin(3x² - 2x)

D-(6x - 2)sin(3x² - 2x)

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Question 740

jamb 1997

Differentiate \(\frac{6x^3 - 5x^2 + 1}{3x^2}\) with respect to x

A\(\frac{2 + 2}{3x^3}\)

B2 + \(\frac{1}{6x}\)

C2 - \(\frac{2}{3x^3}\)

D\(\frac{1}{5}\)

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Question 741

jamb 1997

In a triangle XYZ, if < XYZ is 60º, XY = 3cm, and YZ = 4cm, calculate the length of the side XZ.

A√23cm

B√13cm

C2√5cm

D2√3cm

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Question 742

jamb 1997

The angle of elevation of a building from a measuring instrument placed on the ground is 30o. If the building is 40m high, how far is the instrument from the foot of the building?

A\(\frac{20}{√3}\)m

B\(\frac{40}{√3}\)m

C20√3m

D40√3m

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Question 743

jamb 1997

Find the distance between the point Q (4,3) and the point common to the lines 2x - y = 4 and x + y = 2

A3√10

B3√5

C√26

D√13

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Question 744

jamb 1997

A point P moves so that its equidistant from point L and M. If LM is16cm, find the distance of P from LM when P is 10cm from L

A12cm

B10cm

C8cm

D6cm

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Question 745

jamb 1997

The angle between the positive horizontal axis and a given line is 135^o. Find the equation of the line if it passes through the point (2,3)

Ax - y = 1

Bx + y = 1

Cx + y = 5

Dx - y = 5

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Question 746

jamb 1997

A cone with a sector angle of 45° is cut out of a circle of radius r cm. Find the base radius of the cone.

A\(\frac{r}{16}\) cm

B\(\frac{r}{6}\) cm

C\(\frac{r}{8}\) cm

D\(\frac{r}{2}\) cm

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Question 747

jamb 1997

An arc of a circle subtends an angle 70o at the centre. If the radius of the circle is 6cm, calculate the area of the sector subtended by the given angle.(\(\pi\) = \(\frac{22}{7}\))

A22cm²

B44cm²

C66cm²

D88cm²

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Question 748

jamb 1997

A chord of a circle of a diameter 42cm subtends an angle of 60o at the centre of the circle. Find the length of the mirror arc

A22cm

B44cm

C110cm

D220cm

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Question 749

jamb 1997

Each of the base angles of a isosceles triangle is 58° and the verticles of the triangle lie on a circle. Determine the angle which the base of the triangle subtends at the centre of the circle.

A128^o

B16^o

C64^o

D58^o

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Question 750

jamb 1997

Find the non-zero positive value of x which satisfies the equation \(\begin{vmatrix} x & 1 & 0 \\ 1 & x & 1 \\ 0 & 1 & x\end{vmatrix}\) = 0

C√3

D√2

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