Mathematics Past Questions

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Past Questions

2,359 questions
Question 1 of 20 2,359 total questions
Question 671
jamb 2000

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 = 50°, find angle UST.

A310°
B130°
C80°
D50°
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Question 672
jamb 2000

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.

A8.0 m
B8.4 m
C9.0 m
D10.0 m
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Question 673
jamb 2000

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

A-5/3
B-2/3
C1/2
D5/2
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Question 674
jamb 2000

Solve the inequality 2 - x > x\(^2\).

Ax < -2 or x > 1
Bx > 2 or x< -1
C-1 < x < 2
D-2 < x < 1
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Question 675
jamb 2000

A trader realizes 10x - x\(^2\) naira profit from the sale of x bags on corn. How many bags will give him the desired profit?

A4
B5
C6
D7
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Question 676
jamb 2000

if (x - 1), (x + 1) and (x - 2) are factors of the polynomial ax\(^3\) + bx\(^2\) + cx - 1, find a, b, c in that order.

A-1/2, 1., 1/2
B1/2, 1, 1/2
C1/2, 1, -1/2
D1/2, -1, 1/2
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Question 677
jamb 2000

Evaluate (\(\frac{1}{2} - \frac{1}{4} + \frac{1}{8} - \frac{1}{16} + ...) -1\)

A2/3
Bzero
C-2/3
D-1
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Question 678
jamb 2000

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

Ap
Bp -1
Cp/(p-1)
Dp/(p+1)
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Question 679
jamb 2000

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

A19x - 17y
B8x - 4y
Cx - y
D2x
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Question 680
jamb 2000

A binary operation * is defined by a * b = a\(^b\). If a * 2 = 2 - a, find the possible values of a.

A1, -1
B1, 2
C2, -2
D1, -2
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Question 681
jamb 2000

If \(P344_{6} - 23P2_{6} = 2PP2_{6}\), find the value of the digit P.

A2
B3
C4
D5
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Question 682
jamb 2000

Simplify \(\frac{3(2^{n+1}) - 4(2^{n-1})}{2^{n+1} - 2^n}\)

A2n+1
B2n-1
C4
D1/4
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Question 683
jamb 2000

If 314\(_{10}\) - 256\(_7\) = 340\(_x\), find x.

A7
B8
C9
D10
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Question 684
jamb 2000

A man wishes to keep his money in a savings deposit at 25% compound interest so that after three years he can buy a car for N150,000. How much does he need to deposit?

AN112,000.50
BN96,000.00
CN85,714.28
DN76,800.00
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Question 685
jamb 2000

Evaluate \(\frac{(2.813 \times 10^{-3} \times 1.063)}{(5.637 \times 10^{-2})}\) reducing each number to two significant figures and leaving your answer in two significant figures.

A0.056
B0.055
C0.054
D0.54
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Question 686
jamb 2000

In a youth club with 94 members, 60 like modern music, and 50 like traditional music. The number of members who like both traditional and modern music is three times those who do not like any type of music. How many members like only one type of music?

A8
B24
C62
D86
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Question 687
jamb 2000

If \(\frac{(2\sqrt{3}-\sqrt{2})}{(\sqrt{3}+2\sqrt{2})} = m +n\sqrt{6}\), find the values of m and n respectively.

A1, -2
B-2, 1
C\(\frac{-2}{5}\), 1
D2, 3/5
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Question 688
jamb 2000

If the population of a town was 240,000 in January 1998 and it increased by 2% each year, what would be the population of the town in January, 2000?

A480,000
B249,696
C249,600
D244,800
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Question 689
jamb 2000

Let P = {1, 2, u, v, w, x}; Q = {2, 3, u, v, w, 5, 6, y} and R = {2, 3, 4, v, x, y}.

Determine (P-Q) ∩ R

A{1, x}
B{x y}
C{x}
Dɸ
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Question 690
jamb 1999

A number is selected at random from 0 to 20. What is the probability that the number is odd prime?

A\(\frac{8}{21}\)
B\(\frac{1}{3}\)
C\(\frac{2}{7}\)
D\(\frac{5}{21}\)
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