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Grade 8 Mathematics model exam, 2016 E.C. (2024)

A model exam set in 2016 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

  • 2016 E.C. model exam

    Exam year

  • 28 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

Which one of the following is not true regarding the set of numbers?

  1. A.1∈N1 \in \mathbb{N}
  2. B.0∈W0 \in \mathbb{W}
  3. C.12∈Q\frac{1}{2} \in \mathbb{Q}
  4. D.0.5∈Z0.5 \in \mathbb{Z}
Show the answer and explanation

Answer: D 0.5∈Z0.5 \in \mathbb{Z}

Why

The set Z\mathbb{Z} represents integers {…,−2,−1,0,1,2,… }\{\dots, -2, -1, 0, 1, 2, \dots\}. Since 0.50.5 is a decimal and not a whole number, it does not belong to Z\mathbb{Z}, making D the false statement.

Question 3

If a=−4a = -4, b=3b = 3, and c=−2c = -2, then which one of the following is the value of 3a−2b+3c3a - 2b + 3c?

  1. A.1212
  2. B.−12-12
  3. C.00
  4. D.−24-24
Show the answer and explanation

Answer: D −24-24

Why

Substituting a=−4a = -4, b=3b = 3, and c=−2c = -2 into 3a−2b+3c3a - 2b + 3c gives 3(−4)−2(3)+3(−2)=−12−6−6=−243(-4) - 2(3) + 3(-2) = -12 - 6 - 6 = -24.

Question 4

Which one of the following is the correct increasing order of the following decimals: 6.6066.606, 0.60.6, 0.660.66, and 6.066.06?

  1. A.0.6,0.66,6.06,6.6060.6, 0.66, 6.06, 6.606
  2. B.0.6,0.66,6.606,6.060.6, 0.66, 6.606, 6.06
  3. C.0.66,0.6,6.06,6.6060.66, 0.6, 6.06, 6.606
  4. D.0.66,0.6,6.606,6.060.66, 0.6, 6.606, 6.06
Show the answer and explanation

Answer: A 0.6,0.66,6.06,6.6060.6, 0.66, 6.06, 6.606

Why

Comparing the numbers by alignment of their decimal places gives 0.600<0.660<6.060<6.6060.600 < 0.660 < 6.060 < 6.606, which corresponds to option A.

Question 8

Which one of the following is the list of the elements of the set {x:−2≤x≤1,x∈Z}\{x : -2 \leq x \leq 1, x \in \mathbb{Z}\} on the number line?

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

Answer: A {−2,−1,0,1}\{-2, -1, 0, 1\}

Why

The set contains all integers xx from −2-2 to 11 inclusive, which are −2,−1,0,1-2, -1, 0, 1.

Question 9

Which one of the following is not true?

  1. A.−8>−100-8 > -100
  2. B.0>−990 > -99
  3. C.−34.5<−35.8-34.5 < -35.8
  4. D.15.03<15.10415.03 < 15.104
Show the answer and explanation

Answer: C −34.5<−35.8-34.5 < -35.8

Why

On the real number line, −34.5-34.5 lies to the right of −35.8-35.8, meaning −34.5>−35.8-34.5 > -35.8. Therefore, the statement −34.5<−35.8-34.5 < -35.8 is false.

Question 11

A number is added to 9 and divided by 5 gives 3. What is the number?

  1. A.66
  2. B.77
  3. C.88
  4. D.55
Show the answer and explanation

Answer: A 66

Why

Letting the number be xx, the problem translates to the equation x+95=3\frac{x + 9}{5} = 3. Multiplying by 5 gives x+9=15x + 9 = 15, which simplifies to x=6x = 6.

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Mathematics papers from other years

2017 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.

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Is this the real Grade 8 ministry exam?

No. It is a model exam set in 2016 E.C. (2024) to prepare students for the ministry exam, in the same format. Our set holds 28 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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