JAMB UTME

Jamb Mathematics Questions (2018)

This collection of 2018 JAMB Mathematics questions provides a crucial resource for students preparing for the UTME. It covers a wide array of topics, from fundamental arithmetic and algebraic concepts to more advanced areas like calculus and statistics. Each question is designed to test analytical skills and the ability to apply mathematical principles to solve problems.

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27m
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About This Exam

This collection of 2018 JAMB Mathematics questions provides a crucial resource for students preparing for the UTME. It covers a wide array of topics, from fundamental arithmetic and algebraic concepts to more advanced areas like calculus and statistics. Each question is designed to test analytical skills and the ability to apply mathematical principles to solve problems.

Topics Covered

- Number Systems

Exam Structure

  • Question Formatmcq
  • Total Questions40
  • Estimated Duration27 minutes
  • Difficulty LevelMedium

Learning Objectives

  • Solve problems involving number bases and standard form.

Prerequisites

A strong foundation in secondary school mathematics, including algebra, geometry, trigonometry, calculus, and statistics. Familiarity with JAMB UTME format is beneficial.

Sample Questions

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

1
MCQQuestion
  1. If f(x)=1x1+x1x21f(x) = \frac{1}{x-1} + \frac{x-1}{x^2-1}. Find f(1x)f(1-x)
A

1+1x21 + \frac{1}{x-2}

B

x+12x1x + \frac{1}{2x-1}

C

1x+1x2\frac{1}{x} + \frac{1}{x-2}

D

1x+1x1\frac{1}{x} + \frac{1}{x-1}

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2
MCQQuestion
  1. If x=1x = 1 is the root of equation x32x25x+6=0x^3 - 2x^2 - 5x + 6 = 0, find the other roots
A

3-3 and 22

B

2-2 and 22

C

33 and 2-2

D

11 and 33

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3
MCQQuestion
  1. One interior angle of a convex hexagon is 170170^\circ and each of the remaining angles is equal to xx^\circ. Find xx.
A

120120^\circ

B

110110^\circ

C

105105^\circ

D

102102^\circ

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4
MCQQuestion
  1. Calculate the simple interest on N1,500\text{N}1,500 for 88 years at 5%5\% per annum
A

N5,000\text{N}5,000

B

N600\text{N}600

C

N500\text{N}500

D

N150\text{N}150

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5
MCQQuestion
  1. The volume of a hemispherical bowl is 71823 cm3718\frac{2}{3} \text{ cm}^3, find its radius
A

4.0 cm4.0 \text{ cm}

B

5.6 cm5.6 \text{ cm}

C

7.0 cm7.0 \text{ cm}

D

3.6 cm3.6 \text{ cm}

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6
MCQQuestion
  1. Make yy the subject of the formula Z=x2+1y3Z=x^2 + \frac{1}{y^3}
A

1(Zx2)3\frac{1}{(Z-x^2)^3}

B

1(Z+x2)3\frac{1}{(Z+x^2)^3}

C

1Zx23\frac{1}{\sqrt[3]{Z-x^2}}

D

13Z3x2\frac{1}{3\sqrt{Z}-3\sqrt{x^2}}

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7
MCQQuestion
  1. By selling 2020 oranges at N1.35\text{N}1.35 a trader makes a profit of N82\text{N}82. Which is his percentage profit if he sells the same for N1.10\text{N}1.10?
A

8%8\%

B

10%10\%

C

12%12\%

D

15%15\%

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8
MCQQuestion
  1. Solve the quadratic inequality x25x+60x^2 - 5x + 6 \ge 0
A

x3,x2x \le -3, x \ge -2

B

x3,x2x \le 3, x \ge 2

C

x2,x3x \le -2, x \ge -3

D

x3,x2x \le -3, x \ge 2

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9
MCQQuestion
  1. A construction company owned by two partners xx and yy. It is agreed that their profit will be divided in the ratio 2:32:3. At the end of the year, yy receives N5,000\text{N}5,000 more than xx. What is the total profit of the company for the year?
A

N20,000\text{N}20,000

B

N25,000\text{N}25,000

C

N50,000\text{N}50,000

D

N45,000\text{N}45,000

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10
MCQQuestion
  1. The histogram represents the weight of students who travelled out of their school for an examination. How many people made the trip?
A

78

B

58

C

29

D

69

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How to Prepare

Key Preparation Tips

  • Thoroughly review the JAMB Mathematics syllabus.

Mistakes to Avoid

  • Calculation errors due to haste or lack of attention to detail.

Success Criteria

Achieving a high score in Mathematics is crucial for gaining admission into tertiary institutions. A strong performance indicates a solid grasp of mathematical concepts and problem-solving skills.

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