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JAMB UTME

JAMB Mathematics Past Questions (2010)

This collection of 50 multiple-choice questions from the 2010 JAMB Mathematics exam provides an invaluable resource for prospective UTME candidates. It covers a comprehensive spectrum of mathematical topics, from fundamental arithmetic and algebra to advanced calculus and statistics, ensuring thorough preparation across all essential areas.

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34m
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About This Exam

This collection of 50 multiple-choice questions from the 2010 JAMB Mathematics exam provides an invaluable resource for prospective UTME candidates. It covers a comprehensive spectrum of mathematical topics, from fundamental arithmetic and algebra to advanced calculus and statistics, ensuring thorough preparation across all essential areas.

Topics Covered

- Number Systems

Exam Structure

  • Question Formatmcq
  • Total Questions50
  • Estimated Duration34 minutes
  • Difficulty LevelMedium

Learning Objectives

  • •Solve problems involving number bases, logarithms, and indices.

Prerequisites

A strong foundation in secondary school mathematics curriculum is required. Familiarity with basic algebraic manipulation, geometric theorems, and calculus concepts is beneficial.

Sample Questions

Get a taste of what to expect in the full exam.

1
MCQQuestion

Evaluate ∫02(x3+x2)dx\int_0^2 (x^3 + x^2) dx.

A

256\frac{25}{6}

B

623\frac{62}{3}

C

456\frac{45}{6}

D

1256\frac{125}{6}

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2
MCQQuestion

If xx is inversely proportional to yy and x=12x=\frac{1}{2} when y=2y=2, find xx if y=4y=4.

A

2142\frac{1}{4}

B

55

C

44

D

14\frac{1}{4}

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3
MCQQuestion

If y=(2x+1)3y = (2x+1)^3, find dydx\frac{dy}{dx}.

A

3(2x+1)23(2x+1)^2

B

3(2x+1)3(2x+1)

C

6(2x+1)6(2x+1)

D

6(2x+1)26(2x+1)^2

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4
MCQQuestion

If pp and qq are two non-zero numbers and 18(p+q)=pq18(p+q) = pq, which of the following be true?

A

q=18q = 18

B

p=18p = 18

C

p<1p < 1

D

q<1q < 1

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5
MCQQuestion

Which Mathematics Question Paper Type is given to you?

A

Type A

B

Type B

C

Type C

D

Type D

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6
MCQQuestion

In how many ways can a committee of 22 women and 33 men be chosen from 66 men and 44 women?

A

5050

B

200200

C

100100

D

150150

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7
MCQQuestion

If y=xsin⁡xy = x \sin x, find dydx\frac{dy}{dx}.

A

sin⁡x+xcos⁡x\sin x + x \cos x

B

sin⁡x+xcos⁡x\sin x + x \cos x

C

sin⁡x−xcos⁡x\sin x - x \cos x

D

sin⁡x−cos⁡x\sin x - \cos x

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8
MCQQuestion

From the diagram above, find xx.

A

65∘65^\circ

B

50∘50^\circ

C

55∘55^\circ

D

75∘75^\circ

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9
MCQQuestion

From the table above, if the pass mark is 55, how many students failed the test?

A

77

B

22

C

66

D

99

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10
MCQQuestion

At what value of xx do function y=−3−2x+x2y = -3 - 2x + x^2 attain a minimum value?

A

11

B

−4-4

C

−1-1

D

44

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How to Prepare

Key Preparation Tips

  • Thoroughly review all topics listed in the JAMB syllabus for Mathematics.

Mistakes to Avoid

  • •Calculation errors, especially with fractions, decimals, and exponents.

Success Criteria

Achieving a high score in Mathematics is crucial for JAMB UTME success. A score of 70% or above is generally considered excellent, significantly increasing chances of admission into competitive courses.

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