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Grade 6 Mathematics model exam, 2015 E.C. (2023)

A model exam set in 2015 E.C. to prepare Grade 6 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 6 student

    Who sits it

  • 2015 E.C. model exam

    Exam year

  • 9 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 10

150 -------

  1. A.23×3×52^3 \times 3 \times 5
  2. B.24×4×32^4 \times 4 \times 3
  3. C.2×3×522 \times 3 \times 5^2
  4. D.23×3×522^3 \times 3 \times 5^2
Show the answer and explanation

Answer: C 2×3×522 \times 3 \times 5^2

Why

The prime factorization of 150 is 2×3×522 \times 3 \times 5^2 because 2×3×25=1502 \times 3 \times 25 = 150, where 2, 3, and 5 are prime numbers.

Question 12

56 120 ------

  1. A.5
  2. B.12
  3. C.8
  4. D.9
Show the answer and explanation

Answer: C 8

Why

The Greatest Common Divisor (GCD) of 56 and 120 is 8, since 56=23×756 = 2^3 \times 7 and 120=23×3×5120 = 2^3 \times 3 \times 5, making 23=82^3 = 8 their highest common factor.

Question 15

23×52^3 \times 5

  1. A.8
  2. B.40
  3. C.32
  4. D.42
Show the answer and explanation

Answer: B 40

Why

Evaluating the mathematical expression 23×52^3 \times 5 yields 8×5=408 \times 5 = 40.

Question 17

72 120 . . . . ------ -------

  1. A.18 2
  2. B.16 36
  3. C.18 20
  4. D.24 360
Show the answer and explanation

Answer: D 24 360

Why

This question asks for the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of 72 and 120, which are 24 and 360, respectively.

Question 22

842.531

  1. A.8×100+4×10+2×1+5×100+3×10+1×18 \times 100 + 4 \times 10 + 2 \times 1 + 5 \times 100 + 3 \times 10 + 1 \times 1
  2. B.8×100+4×10+2×1+5×1100+3×1101118 \times 100 + 4 \times 10 + 2 \times 1 + 5 \times \frac{1}{100} + 3 \times \frac{1}{10} 1 \frac{1}{1}
  3. C.8×100+4×10+2×1+5×110+3×1100+1×110008 \times 100 + 4 \times 10 + 2 \times 1 + 5 \times \frac{1}{10} + 3 \times \frac{1}{100} + 1 \times \frac{1}{1000}
  4. D.8×100+4×10+2×1+5×11000+3×1100+1×1108 \times 100 + 4 \times 10 + 2 \times 1 + 5 \times \frac{1}{1000} + 3 \times \frac{1}{100} + 1 \times \frac{1}{10}
Show the answer and explanation

Answer: C 8×100+4×10+2×1+5×110+3×1100+1×110008 \times 100 + 4 \times 10 + 2 \times 1 + 5 \times \frac{1}{10} + 3 \times \frac{1}{100} + 1 \times \frac{1}{1000}

Why

The place value expansion of the decimal 842.531 is 8×100+4×10+2×1+5×110+3×1100+1×110008 \times 100 + 4 \times 10 + 2 \times 1 + 5 \times \frac{1}{10} + 3 \times \frac{1}{100} + 1 \times \frac{1}{1000}, which corresponds to option C.

Question 26

0.563% ------

  1. A.5631000\frac{563}{1000}
  2. B.563100\frac{563}{100}
  3. C.563100000\frac{563}{100000}
  4. D.56310000\frac{563}{10000}
Show the answer and explanation

Answer: C 563100000\frac{563}{100000}

Why

To convert a percentage to a fraction, divide by 100: 0.563%=0.563100=563100,0000.563\% = \frac{0.563}{100} = \frac{563}{100,000}, which is option C.

Download the whole paper as a PDF

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Mathematics papers from other years

2018 E.C. model exam

Revise Mathematics before you sit this paper

The Grade 6 Mathematics short notes hold 16 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 6 ministry exam?

No. It is a model exam set in 2015 E.C. (2023) to prepare students for the ministry exam, in the same format. Our set holds 9 of its questions, each with its answer and a worked explanation.

Where are the real ministry exam papers?

The Grade 6 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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