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Mathematics Past Questions

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49 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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Past Questions

49 questions

Question 1 of 20 49 total questions

Question 11

jamb 1992

find then equation line through (5, 7) parallel to the line 7x + 5y = 12

A5x + 7y = 120

B7x + 5y = 70

Cx + y = 7

D15x + 17y = 90

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Question 12

jamb 1992

What is the perpendicular distance of a point (2, 3) from the line 2x - 4y + 3 = 0?

A\(\frac{\sqrt{5}}{2}\)

B\(\frac{\sqrt{5}}{20}\)

C\(\frac{5}{\sqrt{13}}\)

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Question 13

jamb 1992

The locus of a point which is equidistant from two given fixed points is the

Aperpendicular bisector of the straight line joining them

Bparallel line to the straight line joining them

Ctransverse to the straight line joining them

Dangle bisector of 90^o which the straight line joining them makes with the horizontal

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Question 14

jamb 1992

X is a point due east of point Y on a coast: Z is another point on the coast but 6√3km due south of y.

If the distance XZ is 12Km. Calculate the bearing of Z from X

A240^o

B210^o

C150^o

D60^o

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Question 15

jamb 1992

If in the diagram, FG is parallel to KM, find the value of x

A75^o

B95^o

C105^o

D125^o

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Question 16

jamb 1992

Determine the distance on the earth's surface between two town P (lat 60°N, Long 20°E) and Q(Lat 60°N, Long 25°W) (Radius of the earth = 6400km)

A\(\frac{800\pi}{9}\)km

B\(\frac{800\sqrt{3\pi}}{9}\)km

C800\(\pi\) km

D800\(\sqrt{3\pi}\) km

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Question 17

jamb 1992

If the angles of quadrilateral are (p + 10)°, (2p - 30)°, (3p + 20)° and 4p°, find p.

A63

B40

C36

D28

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Question 18

jamb 1992

p = \(\begin{vmatrix} x & 3 & 0 \\ 2 & y & 3\\ 4 & 2 & 4 \end{vmatrix}\)

Q = \(\begin{vmatrix} x & 2 & z \\ 3 & y & 2\\ 0 & 3 & z \end{vmatrix}\)
PQ is equivalent to

APP^T

Bpp^-1

Cqp

Dpp

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Question 19

jamb 1992

p = \(\begin{vmatrix} x & 3 & 0 \\ 2 & y & 3\\ 4 & 2 & 4 \end{vmatrix}\)

Q = \(\begin{vmatrix} x & 2 & z \\ 3 & y & 2\\ 0 & 3 & z \end{vmatrix}\) Where p^T is the transpose P calculate /p^T/ when x = 0, y = 1 and z = 2

A48

B24

C-24

D-48

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Question 20

jamb 1992

If the binary operation \(\ast\) is defined by m \(\ast\) n = mn + m + n for any real number m and n, find the identity of the elements under this operation

Ae = 1

Be = -1

Ce = -2

De = 0

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Question 21

jamb 1992

For an arithmetical sequence, the first term is 2 and the common difference is 3. Find the sum of the first 11 terms

A157

B187

C197

D200

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Question 22

jamb 1992

What is the n-th term of the sequence 2, 6, 12, 20...?

A4n - 2

B2(3^{n - 1})

Cn² + n

Dn² + 3n + 2

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Question 23

jamb 1992

Find the sum to infinity to the following series 3 + 2 + \(\frac{4}{3}\) + \(\frac{8}{9}\) + \(\frac{16}{17}\) + .....

A1270

B190

C18

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Question 24

jamb 1992

Find all values of x satisfying the inequality -11 \(\leq\) 4 - 3x \(\leq\) 28

A-5 \(\leq\) x \(\geq\) 8

B5 \(\leq\) x \(\leq\) 8

C-8 \(\leq\) x \(\leq\) 5

D-5 < x \(\leq\) 8

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Question 25

jamb 1992

Resolve \(\frac{3}{x^2 + x - 2}\) into partial fractions

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

B\(\frac{1}{x + 1} + \frac{1}{x - 2}\)

C\(\frac{1}{x + 1} - \frac{1}{x - 2}\)

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

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Question 26

jamb 1992

If x + 1 is a factor of x³ + 3x² + kx + 4, find the value of k

B-6

D-8

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Question 27

jamb 1992

A man invested a sum of N280.00 partly at 5% and partly at 4%. if the total interest is N12.80 per annum, find the amount invested at 5%

A14.00

B120.00

C140.00

D160.00

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Question 28

jamb 1992

Make t the subject of formula S = ut + \(\frac{1}{2} at^2\)

A\(\frac{1}{a}\) (-u + \(\sqrt{U^2 - 2as}\))

B\(\frac{1}{a}\) {u \(\pm\) (U² - 2as)}

C\(\frac{1}{a}\) {u \(\pm\) \(\sqrt{2as}\)}

D\(\frac{1}{a}\) {-u + \(\sqrt{( 2as)}\)}

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Question 29

jamb 1992

Solve the equation: \(y - 11\sqrt{y} + 24 = 0\)

A8, 3

B64, 9

C6, 4

D9, -8

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Question 30

jamb 1992

Factorize \(9p^2 - q^2 + 6qr - 9r^2\)

A(3p - 3q + r)(3p - q - 3r)

B(6p - 3q - 3r)(3p - q - 4r)

C(3p - q + 3r)(3p + q - 3r)

D(3q - p + 3r)(3q - p + 3r)

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