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Grade 8 Mathematics model exam, 2017 E.C. (2025)

A model exam set in 2017 E.C. to prepare Grade 8 students for the Mathematics ministry exam, in the same format. It is practice, and it is not the ministry paper itself. Every question comes with the correct answer and a worked explanation.

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  • Every Grade 8 student

    Who sits it

  • 2017 E.C. model exam

    Exam year

  • 41 questions with answers

    In this set

Try questions from this paper

Answer each question yourself before opening the answer. The explanations point to the exact place in the textbook, so you know which page to reread when you miss one.

Question 1

What is the number of elements of set $ A = \{4, 5, 4, 7, 4\} $?

  1. A.33
  2. B.44
  3. C.55
  4. D.66
Show the answer and explanation

Answer: A 33

Why

In set theory, duplicate elements are ignored, so the unique elements of set AA are 4,5,4, 5, and 77. Thus, the number of elements of set AA is 3.

Question 2

Which of the following statement is True about relations among sets?

  1. A.All equal sets are proper subsets of each other
  2. B.Empty set is a subset of any set
  3. C.All equivalent sets are equal
  4. D.Any set is a proper subset of itself
Show the answer and explanation

Answer: B Empty set is a subset of any set

Why

The empty set is a subset of every set by definition. Equal sets are not proper subsets of each other, and equivalent sets only share the same number of elements but are not necessarily equal.

Question 3

If $ A \subset B $, then which of the following statement is true?

  1. A.A∩B=AA \cap B = A
  2. B.A∪B=AA \cup B = A
  3. C.B⊆AB \subseteq A
  4. D.B⊂AB \subset A
Show the answer and explanation

Answer: A A∩B=AA \cap B = A

Why

If A⊂BA \subset B, then every element in AA is also in BB. Thus, the intersection of AA and BB, which contains elements common to both, is simply AA.

Question 4

A set of numbers containing all counting numbers and zero is called:

  1. A.Natural number
  2. B.Whole number
  3. C.Integer number
  4. D.Rational number
Show the answer and explanation

Answer: B Whole number

Why

The set containing all counting numbers (natural numbers) and zero, represented as {0,1,2,3,… }\{0, 1, 2, 3, \dots\}, is called the set of whole numbers.

Question 5

Which one of the following is the set of whole numbers?

  1. A.{0,2,4,6,… }\{ 0, 2, 4, 6, \dots \}
  2. B.{1,2,3,… }\{ 1, 2, 3, \dots \}
  3. C.{0,1,2,3,… }\{ 0, 1, 2, 3, \dots \}
  4. D.{…,−3,−2,−1,0,1,2,3,… }\{ \dots, -3, -2, -1, 0, 1, 2, 3, \dots \}
Show the answer and explanation

Answer: C {0,1,2,3,… }\{ 0, 1, 2, 3, \dots \}

Why

The set of whole numbers consists of zero and all natural numbers (counting numbers), which is written as {0,1,2,3,… }\{0, 1, 2, 3, \dots\}.

Question 6

The opposite of integer number $ a $ is equal to:

  1. A.−a-a
  2. B.aa
  3. C.1/a1/a
  4. D.a2a^2
Show the answer and explanation

Answer: A −a-a

Why

The opposite (or additive inverse) of any real number aa is the number that when added to aa yields zero, which is −a-a.

Download the whole paper as a PDF

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Question paperAnswer key and explanations

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Mathematics papers from other years

2016 E.C. model exam2015 E.C. (2023)2012 E.C. model exam

Revise Mathematics before you sit this paper

The Grade 8 Mathematics short notes hold 25 cards. Each one gives the rule, what its symbols stand for and the mistake that costs marks, chapter by chapter from the national textbook.

Open the Mathematics notes
Is this the real Grade 8 ministry exam?

No. It is a model exam set in 2017 E.C. (2025) to prepare students for the ministry exam, in the same format. Our set holds 41 of its questions, each with its answer and a worked explanation.

Where are the real ministry exam papers?

The Grade 8 ministry exam papers we hold are on the exam papers page, listed by year beside the model exams.

Can I download this model exam as a PDF?

Yes, and it is free. The question paper is one file and the answer key with its worked explanations is another, so you can try it first. Print them, or keep them on your phone for revision when there is no data.

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