Grade 12 · EUEE · Unofficial practice
Mathematics entrance exam questions and answers
7 papers · 2015–2018 E.C. · 351 questions with answer keys
Unofficial practice for the Grade 12 Mathematics Ethiopian University Entrance Exam (EUEE / matric). Try five questions from the newest paper here, open any paper below, and see which textbook units the exam asks about most.
ይሞክሩ · Try 5
Try 5 Mathematics questions
Consider the data: 11, 13, 15, 17, 19, 21. Which one of the following is the mean deviation from the mean?
5 የሒሳብ ጥያቄዎች
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Unofficial EUEE past-paper items. Not an official key.
Unofficial practice. Abrari is an independent study aid and is not affiliated with, endorsed by, or an official product of the Ethiopian Ministry of Education (MoE), EAES, MoLS, or OCACC. Answers are Abrari keys, not an official marking scheme.
Mathematics papers by year
7 papers · every question has an unofficial answer key
2018 E.C. / 2026 G.C. · Natural
2018 E.C. Mathematics
56 unofficial questions
2017 E.C. / 2025 G.C. · Natural
2017 E.C. Mathematics Natural
48 unofficial questions
2017 E.C. / 2025 G.C. · Social
2017 E.C. Mathematics Social
55 unofficial questions
2016 E.C. / 2024 G.C. · Natural
2016 E.C. Mathematics Natural
54 unofficial questions
2016 E.C. / 2024 G.C. · Social
2016 E.C. Mathematics Social
31 unofficial questions
2015 E.C. / 2023 G.C. · Natural
2015 E.C. Mathematics Natural
51 unofficial questions
2015 E.C. / 2023 G.C. · Social
2015 E.C. Mathematics Social
56 unofficial questions
What the Mathematics exam tests
Natural stream
The top 8 units make up about half of the 236 questions in the 2015–2018 E.C. papers. Grade 11–12 units: 47% of questions (53% in 2018 E.C.). Grade 9–10 units: 53%.
| Textbook unit | Share | Years asked |
|---|---|---|
| Grade 12 · Unit 2 Introduction to Calculus Start here | 10% | 4 of 4 |
| Grade 9 · Unit 2 The Number System Start here | 7% | 4 of 4 |
| Grade 11 · Unit 7 Statistics Start here | 6% | 4 of 4 |
| Grade 10 · Unit 3 Exponential and Logarithmic Functions Start here | 6% | 4 of 4 |
| Grade 12 · Unit 1 Sequence and Series Start here | 6% | 4 of 4 |
| Grade 10 · Unit 7 Coordinate Geometry Start here | 6% | 4 of 4 |
| Grade 10 · Unit 2 Polynomial Functions Start here | 5% | 4 of 4 |
| Grade 10 · Unit 4 Trigonometric Functions Start here | 5% | 4 of 4 |
| Grade 10 · Unit 6 Solid Figures | 3% | 4 of 4 |
| Grade 11 · Unit 3 Matrices | 3% | 4 of 4 |
| Grade 12 · Unit 3 Statistics | 3% | 3 of 4 |
| Grade 9 · Unit 3 Solving Equations | 3% | 4 of 4 |
| Grade 11 · Unit 2 Rational Expression and Rational Functions | 3% | 4 of 4 |
| Grade 12 · Unit 4 Introduction to linear programming | 3% | 3 of 4 |
| Grade 9 · Unit 1 Further on Sets | 3% | 4 of 4 |
| Grade 11 · Unit 4 Determinants and their properties | 3% | 4 of 4 |
| Grade 11 · Unit 8 Probability | 3% | 3 of 4 |
| Grade 9 · Unit 7 Congruency and Similarity | 3% | 3 of 4 |
| Grade 9 · Unit 8 Vectors in Two Dimensions | 3% | 4 of 4 |
| Grade 10 · Unit 5 Circles | 2% | 2 of 4 |
| Grade 11 · Unit 1 Relations and functions | 2% | 3 of 4 |
| Grade 12 · Unit 5 Mathematical Application in Business | 2% | 3 of 4 |
| Outside the Grade 9–12 units (mostly logic) | 2% | 2 of 4 |
| Grade 10 · Unit 1 Relations and Functions | 2% | 4 of 4 |
| Grade 11 · Unit 5 Vectors | 2% | 2 of 4 |
| Grade 9 · Unit 6 Regular Polygons | 2% | 3 of 4 |
| Grade 9 · Unit 4 Solving Inequalities | 1% | 2 of 4 |
| Grade 11 · Unit 6 Transformations of the plane | 1% | 2 of 4 |
| Grade 9 · Unit 5 Introduction to Trigonometry | 1% | 2 of 4 |
Social stream
The top 9 units make up about half of the 224 questions in the 2015–2018 E.C. papers. Grade 11–12 units: 52% of questions (57% in 2018 E.C.). Grade 9–10 units: 48%. The 2018 E.C. paper is counted here but not listed yet: its answer key is still being reviewed.
| Textbook unit | Share | Years asked |
|---|---|---|
| Grade 12 · Unit 2 Introduction to Calculus Start here | 10% | 4 of 4 |
| Grade 12 · Unit 3 Statistics Start here | 7% | 4 of 4 |
| Grade 9 · Unit 2 The Number System Start here | 7% | 4 of 4 |
| Grade 10 · Unit 3 Exponential and Logarithmic Functions Start here | 6% | 4 of 4 |
| Grade 11 · Unit 8 Probability Start here | 6% | 4 of 4 |
| Grade 11 · Unit 7 Statistics Start here | 5% | 4 of 4 |
| Grade 12 · Unit 1 Sequence and Series Start here | 5% | 4 of 4 |
| Grade 12 · Unit 4 Introduction to linear programming Start here | 5% | 4 of 4 |
| Grade 10 · Unit 2 Polynomial Functions Start here | 4% | 4 of 4 |
| Grade 10 · Unit 7 Coordinate Geometry | 4% | 4 of 4 |
| Grade 12 · Unit 5 Mathematical Application in Business | 4% | 4 of 4 |
| Grade 10 · Unit 6 Solid Figures | 4% | 3 of 4 |
| Grade 10 · Unit 4 Trigonometric Functions | 3% | 4 of 4 |
| Grade 11 · Unit 2 Rational Expression and Rational Functions | 3% | 4 of 4 |
| Grade 11 · Unit 3 Matrices | 3% | 3 of 4 |
| Grade 11 · Unit 4 Determinants and their properties | 3% | 4 of 4 |
| Grade 9 · Unit 1 Further on Sets | 3% | 4 of 4 |
| Grade 9 · Unit 5 Introduction to Trigonometry | 3% | 4 of 4 |
| Grade 9 · Unit 7 Congruency and Similarity | 3% | 4 of 4 |
| Grade 9 · Unit 8 Vectors in Two Dimensions | 2% | 3 of 4 |
| Grade 10 · Unit 1 Relations and Functions | 2% | 4 of 4 |
| Grade 10 · Unit 5 Circles | 2% | 3 of 4 |
| Grade 11 · Unit 1 Relations and functions | 2% | 3 of 4 |
| Grade 9 · Unit 3 Solving Equations | 2% | 3 of 4 |
| Grade 9 · Unit 4 Solving Inequalities | 2% | 3 of 4 |
| Outside the Grade 9–12 units (mostly logic) | 2% | 2 of 4 |
| Grade 9 · Unit 6 Regular Polygons | 1% | 3 of 4 |
How we counted: Abrari matched each question in these papers, including items whose answer key is still under review, to the one textbook unit it tests. The shares are approximate and are not an official exam blueprint.
How to use this
- Start with the units marked “Start here”. Together they are about half of the paper.
- Grade 9–10 units are still 53% of the questions, so do not skip the earlier books.
- 16 units came up in every year from 2015 to 2018 E.C.
- Answer letters are spread evenly across A, B, C and D, so guessing patterns do not help. Practise unit by unit, then sit a full paper against the clock.
Frequently asked questions
- Which units come up most in the Mathematics entrance exam?
- In the 2015–2018 E.C. papers the most-asked units were: Natural stream: Introduction to Calculus (Grade 12, 10%), The Number System (Grade 9, 7%), Statistics (Grade 11, 6%). Social stream: Introduction to Calculus (Grade 12, 10%), Statistics (Grade 12, 7%), The Number System (Grade 9, 7%). About half of the questions come from the top 8 to 9 units. These shares are Abrari’s own count, not an official exam blueprint.
- Are these official EUEE past papers?
- No. Abrari publishes unofficial practice reconstructed from the study bank for these papers. It is not an official EAES or Ministry paper and does not use government logos.
- Are the answers official?
- No. Letters and worked solutions are unofficial Abrari keys. Verified write-ups are labelled Unofficial. Do not treat them as an official marking scheme.
- Is Abrari part of MoE, EAES, MoLS, or OCACC?
- No. Abrari is an independent study aid. It is not affiliated with, endorsed by, or an official product of those agencies.
- Do I need to pay to practice?
- No. The questions on this page are free to read and try. There is no payment step.