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Free Practice Questions for Grade 8 Mathematics

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Key Facts: Grade 8 Mathematics Exam

40 Marks

Mathematics paper total on regional result slips

Regional Grade 8 Ministry Exam result records

Not published

National item count and duration

FDRE Ministry of Education

5 Main Units

Grade 8 curriculum focus

FDRE MoE Mathematics Syllabus

Middle School

Credential level

FDRE Ministry of Education

Grade 8 Mathematics is a computation-heavy regional middle-school exit exam set to MoE standards, qualifying students for secondary education under Ethiopia's 6-2-4 system.

Sample Grade 8 Mathematics Practice Questions

Try these sample questions to review concepts for the Grade 8 Mathematics exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Solve the linear equation for x: 4x - 7 = 17
A.x = 5
B.x = 6
C.x = 7
D.x = 8
Explanation: To solve 4x - 7 = 17, add 7 to both sides: 4x = 17 + 7 = 24. Then divide both sides by 4: x = 24 / 4 = 6.
2Solve the equation: 3(2x - 5) = 21
A.x = 4
B.x = 5
C.x = 6
D.x = 8
Explanation: First divide both sides by 3: 2x - 5 = 7. Then add 5 to both sides: 2x = 12. Finally, divide by 2: x = 6. Alternatively, distribute: 6x - 15 = 21 => 6x = 36 => x = 6.
3What is the solution to the equation: 5x + 8 = 2x + 29?
A.x = 7
B.x = 9
C.x = 11
D.x = 13
Explanation: Subtract 2x from both sides: 5x - 2x + 8 = 29 => 3x + 8 = 29. Subtract 8 from both sides: 3x = 21. Divide by 3: x = 7.
4Solve for x: 2(x + 4) - 3 = 19
A.x = 5
B.x = 6
C.x = 7
D.x = 8
Explanation: Distribute the 2: 2x + 8 - 3 = 19 => 2x + 5 = 19. Subtract 5 from both sides: 2x = 14. Divide by 2: x = 7.
5Find the solution set for the linear inequality: 3x - 5 < 16
A.x < 3
B.x < 5
C.x < 7
D.x > 7
Explanation: Add 5 to both sides: 3x < 16 + 5 => 3x < 21. Divide both sides by 3 (since 3 is positive, the inequality direction is unchanged): x < 7.
6What is the slope (gradient) of the line passing through the points (2, 3) and (6, 11)?
A.1/2
B.2
C.3
D.4
Explanation: The slope m is given by (y2 - y1) / (x2 - x1). Substituting the points: m = (11 - 3) / (6 - 2) = 8 / 4 = 2.
7What is the y-intercept of the line given by the equation y = -3x + 8?
A.(0, -3)
B.(0, 8)
C.(8, 0)
D.(-3, 0)
Explanation: In slope-intercept form y = mx + b, the y-intercept occurs where x = 0. Substituting x = 0 gives y = -3(0) + 8 = 8. Thus, the y-intercept is (0, 8).
8Solve for x: x / 4 + 3 = 8
A.x = 12
B.x = 16
C.x = 20
D.x = 32
Explanation: Subtract 3 from both sides: x / 4 = 8 - 3 => x / 4 = 5. Multiply both sides by 4: x = 5 * 4 = 20.
9Solve the equation: (3x - 1) / 4 = (2x + 5) / 3
A.x = 17
B.x = 19
C.x = 21
D.x = 23
Explanation: Cross-multiply to clear denominators: 3(3x - 1) = 4(2x + 5). Distribute both sides: 9x - 3 = 8x + 20. Subtract 8x from both sides: x - 3 = 20. Add 3 to both sides: x = 23.
10Solve the linear equation with decimals: 0.4x - 1.2 = 0.1x + 2.4
A.x = 8
B.x = 10
C.x = 12
D.x = 14
Explanation: Multiply the entire equation by 10 to clear decimals: 4x - 12 = x + 24. Subtract x from both sides: 3x - 12 = 24. Add 12 to both sides: 3x = 36. Divide by 3: x = 12.

About the Grade 8 Mathematics Exam

The Ethiopia Grade 8 Middle School Examination for Mathematics is a core terminal assessment administered at the conclusion of Grade 8 by Regional Education Bureaus (REBs) and the chartered city administrations of Addis Ababa and Dire Dawa. It evaluates learning outcomes defined centrally by the FDRE Ministry of Education under the General Education Curriculum Framework. Mathematics is a computation-heavy examination testing rational numbers, exponents, radicals, linear equations, linear inequalities, similar geometric figures, perimeter/area/volume, and introductory probability. Under Ethiopia's 6-2-4 system, performance on this examination determines issuance of the Middle School Education Certificate and entry into Grade 9 secondary school. This question bank is an English-language MCQ study adaptation featuring authentic worked calculations and step-by-step arithmetic and algebraic solutions.

Exam sponsor: Regional Education Bureaus / chartered city administrations, to standards set by the FDRE Ministry of Education (MoE). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Question count not published by the exam provider

Time Limit

Not centrally published; regional papers of roughly 40 items are commonly allotted about one hour, but the duration is set by each Regional Education Bureau.

Passing Score

Determined regionally by each Regional Education Bureau or chartered city administration for Grade 9 admission.

Exam / Certification Fees

Free / fully state-funded for regular students in Ethiopian public middle schools.

Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

25%

Linear Equations & Inequalities

Solving one-variable linear equations and inequalities, word problems, coordinates, and graphing linear relations.

25%

Rational Numbers & Operations

Properties of rational numbers (Q), operations with fractions, decimals, percentages, ratio, and absolute values.

20%

Exponents & Radicals

Laws of exponents, perfect squares, square roots, cubes, cube roots, and scientific notation.

20%

Geometry & Similar Figures

Similar triangles, scale factor, Pythagorean theorem, perimeter, area, and surface area of prisms and cylinders.

10%

Probability & Statistics

Basic theoretical and experimental probability, simple events, sample space, data representation, and measures of central tendency.

Preparing for the Grade 8 Mathematics Exam

What You Need to Know

  • Passing score: Determined regionally by each Regional Education Bureau or chartered city administration for Grade 9 admission.
  • Assessment: Question count not published by the exam provider
  • Time limit: Not centrally published; regional papers of roughly 40 items are commonly allotted about one hour, but the duration is set by each Regional Education Bureau.
  • Exam / certification fees: Free / fully state-funded for regular students in Ethiopian public middle schools. Official sources

Using Our Practice Resources

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

Grade 8 Mathematics: Suggested Study Strategy

1Master linear equation solving techniques, including clearing fractions and distributing negative signs carefully.
2Memorize the laws of exponents and common perfect squares from 1 to 25 and perfect cubes from 1 to 10.
3Practice setting up proportions for similar figures: ratio of corresponding sides = scale factor k, while ratio of areas = k squared.
4Work against the clock: practising 40-question sets in about an hour builds the pace regional papers typically demand.

Frequently Asked Questions

What is the format and duration of the Grade 8 Mathematics exam?

The exam is entirely multiple choice, but no single national item count or duration is published. Regional model papers and reported result slips indicate a Mathematics paper marked out of 40 items, typically sat in about one hour. Confirm the exact format for your region with your school or Regional Education Bureau.

Does EAES administer the Grade 8 Mathematics exam?

No. The Educational Assessment and Examinations Service (EAES) is responsible solely for the Grade 12 ESSLCE. Grade 8 exams are administered regionally by Regional Education Bureaus and chartered city administrations, using standards set by the Ministry of Education.

What types of questions appear on the Mathematics paper?

The paper consists of genuine calculation problems requiring worked solutions: simplifying algebraic expressions, solving linear equations and inequalities, finding unknown angles and sides in similar figures, evaluating exponents and radicals, and computing probabilities.

What credential does passing the Grade 8 exam provide?

Students receive the Middle School Education Certificate (Grades 7–8), which governs admission into general secondary school (Grade 9).