Grade 12 results are out. Where to check yours

Exam papers

Grade 8 Mathematics model exam, 2012 E.C. (2020)

A model exam set in 2012 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.

Start practicing freeQuestion paper

  • Every Grade 8 student

    Who sits it

  • 2012 E.C. model exam

    Exam year

  • 38 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 of the following statement is false about in the set of numbers?

  1. A.The sum of two natural numbers is always a natural number.
  2. B.The product of two whole numbers is always a whole number.
  3. C.The quotient of two integers is always an integer.
  4. D.The difference of two integers is always an integer.
Show the answer and explanation

Answer: C The quotient of two integers is always an integer.

Why

The set of integers is not closed under division; for instance, the quotient of 1 and 2 is 0.5, which is not an integer.

Question 2

Which of the following isTrue?

  1. A.∣−912∣=−34\left|\frac{-9}{12}\right| = \frac{-3}{4}
  2. B.∣−10∣+∣6-17∣=21|-10| + |6\text{-}17| = 21
  3. C.∣27∣−∣−37∣=57\left|\frac{2}{7}\right| - \left|\frac{-3}{7}\right| = \frac{5}{7}
  4. D.∣9+(−9)∣=18|9+(-9)| = 18
Show the answer and explanation

Answer: B ∣−10∣+∣6-17∣=21|-10| + |6\text{-}17| = 21

Why

Evaluating the left-hand side gives |-10| + |6 - 17| = 10 + |-11| = 10 + 11 = 21, which is true.

Question 3

Which of the following statement is False?

  1. A.15<14\frac{1}{5} < \frac{1}{4}
  2. B.−413<∣−213∣-4\frac{1}{3} < \left|-2\frac{1}{3}\right|
  3. C.∣0.4∣=∣25∣|0.4| = \left|\frac{2}{5}\right|
  4. D.−0.98≥−0.89-0.98 \geq -0.89
Show the answer and explanation

Answer: D −0.98≥−0.89-0.98 \geq -0.89

Why

On the real number line, -0.98 is strictly to the left of -0.89, meaning -0.98 < -0.89, so the statement -0.98 >= -0.89 is false.

Question 4

The simplified form of the expression 72−23[1+56]\frac{7}{2}-\frac{2}{3}\left[1+\frac{5}{6}\right] is

  1. A.−52\frac{-5}{2}
  2. B.35\frac{3}{5}
  3. C.89\frac{8}{9}
  4. D.4118\frac{41}{18}
Show the answer and explanation

Answer: D 4118\frac{41}{18}

Why

Inside the brackets, 1 + 5/6 = 11/6. Then 7/2 - (2/3)(11/6) = 7/2 - 11/9 = (63 - 22)/18 = 41/18.

Question 5

Which of the following numbers is between 45\frac{4}{5} and 56\frac{5}{6}

  1. A.1115\frac{11}{15}
  2. B.4960\frac{49}{60}
  3. C.95\frac{9}{5}
  4. D.930\frac{9}{30}
Show the answer and explanation

Answer: B 4960\frac{49}{60}

Why

Writing the fractions with a common denominator of 60 gives 4/5 = 48/60 and 5/6 = 50/60. The number 49/60 lies strictly between 48/60 and 50/60.

Question 6

Which of the following statement is true about the set of numbers denoted by N\mathbb{N}, W\mathbb{W}.Z\mathbb{Z} and Q\mathbb{Q}?

  1. A.Q+⊆N\mathbb{Q}^{+} \subseteq \mathbb{N}
  2. B.W⊆Q+\mathbb{W} \subseteq \mathbb{Q}^{+}
  3. C.W⊆Q\mathbb{W} \subseteq \mathbb{Q}
  4. D.Q⊆Q+\mathbb{Q} \subseteq \mathbb{Q}^{+}
Show the answer and explanation

Answer: C W⊆Q\mathbb{W} \subseteq \mathbb{Q}

Why

Every whole number n can be written in the form n/1, so the set of whole numbers W is a subset of the set of rational numbers Q.

Download the whole paper as a PDF

All 38 questions in this set as a printed paper, and the answer key with 28 worked explanations as a second file. Print them or read them with no data.

Free, and it needs no account.

Question paperAnswer key and explanations

Sit the full paper, timed and scored

A free Temari account gives you the whole Mathematics paper, and every other year, as timed mock exams with instant scoring. It works on any phone, even over a weak connection.

Start practicing free

Mathematics papers from other years

2017 E.C. model exam2016 E.C. model exam2015 E.C. (2023)

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 2012 E.C. (2020) to prepare students for the ministry exam, in the same format. Our set holds 38 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.

Sign inCreate your account