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4 (a) Write down each of the following - OCR - GCSE Maths - Question 4 - 2018 - Paper 1

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4 (a) Write down each of the following. (i) An even number. (ii) A factor of 25. (iii) A prime number between 10 and 20. (iv) A cube number. (b) Find the highes... show full transcript

Worked Solution & Example Answer:4 (a) Write down each of the following - OCR - GCSE Maths - Question 4 - 2018 - Paper 1

Step 1

Write down an even number.

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Answer

An even number is any integer that is divisible by 2. Common examples include 0, 2, 4, 6, 8, 10, etc. For this question, I can write down 2 as a valid even number.

Step 2

Write down a factor of 25.

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Answer

A factor of a number is an integer that divides that number without leaving a remainder. The factors of 25 are 1, 5, and 25. I can choose 5 as a factor of 25.

Step 3

Write down a prime number between 10 and 20.

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Answer

A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. The prime numbers between 10 and 20 are 11, 13, 17, and 19. I will write down 13.

Step 4

Write down a cube number.

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Answer

A cube number is a number that can be expressed as the cube of an integer. Examples include 1 (1³), 8 (2³), 27 (3³), and so on. I can write down 8 as a cube number.

Step 5

Find the highest common factor (HCF) of 35 and 91.

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Answer

To find the HCF, we can list the factors of each number:

  • Factors of 35: 1, 5, 7, 35
  • Factors of 91: 1, 7, 13, 91.

The highest common factor between them is 7.

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