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2000 - JAMB Mathematics Past Questions and Answers - page 2

11

The 3rd term of an A.P is 4x - 2y and the 9th term is 10x - 8y. Find the common difference.

A
19x - 17y
B
8x - 4y
C
x - y
D
2x
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12

Find the inverse of p under the binary operation * defined by p*q = p + q - pq, where p and q are real numbers and zero is the identity

A
p
B
p -1
C
p/(p-1)
D
p/(p+1)
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13

Evaluate (1/2 - 1/4 - 1/8 - 1/16 + ...) - 1

A
2/3
B
zero
C
-2/3
D
-1
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14

if (x - 1), (x + 1) and (x - 2) are factors of the polynomial ax3 + bx2 + cx - 1, find a, b, c in that order.

A
-1/2, 1., 1/2
B
1/2, 1, 1/2
C
1/2, 1, -1/2
D
1/2, -1, 1/2
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15

A trader realizes 10x - x2 naira profit from the sale of x bags on corn. How many bags will give him the desired profit?

A
4
B
5
C
6
D
7
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16

Solve the inequality 2 - x > x2.

A
x < -2 or x > 1
B
x > 2 or x< -1
C
-1 < x < 2
D
-2 < x < 1
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17

If α and β are the roots of the equation 3x2 + 5x - 2 = 0, find the value of 1/α + 1/β

A
-5/3
B
-2/3
C
1/2
D
5/2
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18

A frustrum of pyramid with square base has its upper and lower sections as squares of sizes 2m and 5m respectively and the distance between them 6m. Find the height of the pyramid from which the frustrum was obtained.

A
8.0 m
B
8.4 m
C
9.0 m
D
10.0 m
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19

P is a point on one side of the straight line UV and P moves in the same direction as UV. If the straight line ST is on the locus of P and angle VUS = 60°, find angle UST.

A
310°
B
130°
C
80°
D
50°
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20

A ship sails a distance of 50km in the direction S50°E and then sails a distance of 50km in the direction N40°E. FInd the bearing of the ship from the original position.

A
S90°E
B
N40°E
C
S95°E
D
N85°E
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