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Mathematics Past Questions

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

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96 questions

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Question 31

jamb 2009

The distance traveled by a particle from a fixed point is given as s = (t\(^3\) - t\(^2\) - t + 5)cm. Find the minimum distance that the particle can cover from the fixed point?

A2.3 cm

B4.0 cm

C5.2 cm

D6.0 cm

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Question 32

jamb 2009

If s = (2 + 3t)(5t - 4), find ds/dt when t = \(\frac{4}{5}\) secs

A0 units per sec

B15 units per sec

C22 unit per sec

D26 units per sec

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Question 33

jamb 2009

A cliff on the bank of a river is 300 meter high. if the angle of depression of a point on the opposite side of the river is 60º, find the width of the river?

A100m

B75√3 m

C100√3m

D200√3m

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Question 34

jamb 2009

Find the value of sin 45° - cos 30°

A\(\frac{2+\sqrt{3}}{4}\)

B\(\frac{\sqrt{2}+\sqrt{3}}{4}\)

C\(\frac{\sqrt{2}+\sqrt{3}}{2}\)

D\(\frac{\sqrt{2}-\sqrt{3}}{2}\)

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Question 35

jamb 2009

If y = 3 cos 4x, dy/dx equals?

A6 sin 8x

B-24 sin 4x

C12 sin 4x

D-12 sin 4x

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Question 36

jamb 2009

What is the value of r if the distance between the point (4,2) and (1,r) is 3 units?

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Question 37

jamb 2009

What is the value of p if the gradient of the line joining (-1,p) and (p, 4) is \(\frac{2}{3}\)?

A-2

B-1

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Question 38

jamb 2009

What is the locus of the mid-point of all the chords of length 6cm with circle of radius 5cm and with center O?

AA circle of radius 4 cm and the center 0

BThe perpendicular bisector of the chords

CA straight line passing through 0

DA circle of radius 6 cm and with center 0

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Question 39

jamb 2009

Find the locus of a particle which moves in the first quadrant so that it is equidistant from the lines x = 0 and y = 0 (where k is a constant)?

Ax + y = 0

Bx - y = 0

Cx + y + k = 0

Dx - y - k = 0

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Question 40

jamb 2009

Find the radius of a sphere whose surface area is 154 cm\(^2\)?

A7.00 cm

B3.50 cm

C3.00 cm

D1.75 cm

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Question 41

jamb 2009

A chord drawn 5 cm away from the center of a circle of radius 13 cm. Calculate the length of the chord?

A7cm

B9cm

C12cm

D24cm

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Question 42

jamb 2009

If the hypotenuse of a right-angled isosceles triangle is 2cm. What is the area of the triangle?

A¹/_√2 cm²

B1 cm²

C√2 cm²

D2√2 cm²

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Question 43

jamb 2009

In the figure above , TS//XY and XY = TY, ∠STZ = 34°, ∠TXY = 47°, find the angle marked n?

A47^o

B52^o

C56^o

D99^o

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Question 44

jamb 2009

A regular polygon has 150º as the size of each interior angle. How many sides does it have?

A12

B10

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Question 45

jamb 2009

Find the acute angle between the straight lines y = x and y = √3x

A15^o

B30^o

C45^o

D60^o

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Question 46

jamb 2009

If P \(=\left[\begin{array}{cc}x+3 & x+2\\
x+1 & x-1\end{array}\right]\) evaluate x if |P| = -10

A-5

B-2

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Question 47

jamb 2009

If Q is\( \left[ \begin{array}{cc}
9 & -2 \\
-7 & 4 \\
\end{array} \right]\) , then |Q| is?

A-50

B-22

C22

D50

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Question 48

jamb 2009

A binary operation ⊗ defined on the set of integers is such that m⊗n = m + n + mn for all integers m and n. Find the inverse of -5 under this operation, if the identity element is 0?

A-⁵/₄

B-⁵/₆

Czero

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Question 49

jamb 2009

If m * n = n - (m+2) for any real number m and n find the value of 3*(-5)?

A-6

B-8

C-10

D-12

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Question 50

jamb 2009

Find to infinity, the sum of the sequence \(1, \frac{9}{10}, \left(\frac{9}{10}\right)^2, \left(\frac{9}{10}\right)^3,.....\)

A10

C¹⁰/₉

D⁹/₁₀

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