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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 491

jamb 2007

Evaluate 1011²₂ - 101²₂

A110000₂

B110₂

C1100000₂

D11000₂

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Question 492

jamb 2007

Given
P = {1, 3, 5, 7, 9, 11}
and Q = {2, 4, 6, 8, 10, 12}. Determine the relationship between P and Q

AP∩Q = ∅

BP ⊂ Q

CQ⊂P

DP = Q

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Question 493

jamb 2007

A man made a profit of 5% when he sold an article for N60,000.00. How much would he have sell the article to make a profit of 26%

AN68,000

BN72,000

CN65,000

DN70,000

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Question 494

jamb 2007

If log₁₀2 = x, express log₁₀12.5 in terms of x

A2(1 + x)

B2 + 3x

C2(1 - x)

D2 - 3x

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Question 495

jamb 2007

Simplify \(\frac{3}{5} \div \left(\frac{2}{7} \times \frac{4}{3} \div \frac{4}{9}\right)\)

A\(\frac{4}{5}\)

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

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

D\(\frac{21}{6}\)

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Question 496

jamb 2007

Find the value of x for which 2(3^2x-1) = 162

A⁵/₂

B³/₂

C²/₅

D¹/₂

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Question 497

jamb 2007

Evaluate \(\frac{(0.5625)^2 - (0.4375)^2}{0.04}\) correct to three significant figures

A3.11

B3.13

C0.313

D3.12

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Question 498

jamb 2007

If x₁₀ = 1214₅ find x

A124

B121

C184

D180

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Question 499

jamb 2007

Find y, if \(\sqrt{12}-\sqrt{147}+y\sqrt{3} = 0\)

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Question 500

jamb 2007

Find the sum to infinity of the series \(2+\frac{3}{2}+\frac{9}{8}+\frac{27}{32}+......\)

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Question 501

jamb 2007

The nth term of the sequence \(\frac{3}{2}\), 3, 7, 16, 35, 74 ..... is

A5 . 2^n-2 - n

B5 . 2^n-2 - \(\frac{(n+1)}{2}\)

C3 . 2^n-2

D\(\frac{3n}{2}\)

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Question 502

jamb 2007

A binary operation Δ is defined by aΔb = a + b + 1 for any numbers a and b. Find the inverse of the real number 7 under the operation Δ, if the identity element is -1

A-7

B-9

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Question 503

jamb 2007

W ∝ L² and W = 6 when L = 4. If L = √17 find W

A6⁷/₈

B6⁵/₈

C6³/₈

D6¹/₈

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Question 504

jamb 2007

Solve the inequalities -3(x - 2) < -2(x + 3)

Ax > 12

Bx < 12

Cx > -12

Dx < - 12

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Question 505

jamb 2007

Factorize 2t² + t - 15

A(2t - 3)(t + 5)

B(t + 3)(2t - 5)

C(t + 3)(t - 5)

D(2t + 3)(t - 5)

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Question 506

jamb 2007

The solution of the quadratic inequality (x\(^2\) + x - 12) ≥ 0 is

Ax ≥ -3 or x ≤ 4

Bx ≥ 3 or x ≥ -4

Cx ≤ 3 or x \(\leq\) -4

Dx ≥ 3 or x ≤ -4

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Question 507

jamb 2007

Make L the subjects of the formula if d = \(\sqrt{\frac{42w}{5l}}\)

A\(\sqrt{\frac{42w}{5d}}\)

B\(\frac{42W}{5d^2}\)

C\(\frac{42}{5dW}\)

D\(\frac{1}{d}\sqrt{\frac{42w}{5}}\)

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Question 508

jamb 2007

The graph above is represented by

Ay = x³ - 3x - 2

By = x³ + 2x² - x - 2

Cy = x³ - 4x² + 5x - 2

Dy = x³ - 4x + 2

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Question 509

jamb 2007

A binary operation ⊕ on real numbers is defined by x⊕y = xy + x + y for any two real numbers x and y. The value of (-³/₄)⊕6 is

A³/₄

B-⁹/₂

C⁴⁵/₄

D-³/₄

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Question 510

jamb 2007

Determine the value of \(\int_0 ^{\frac{\pi}{2}
}(-2cos x)dx\)

A-2

B-¹/₂

C-3

D-³/₂

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