Write down each of the following - OCR - GCSE Maths - Question 2 - 2019 - Paper 1
Question 2
Write down each of the following.
(i) An odd number:
(ii) A factor of 25.
(iii) A prime number between 20 and 30.
(b) Show that 55 is not a square number.
Worked Solution & Example Answer:Write down each of the following - OCR - GCSE Maths - Question 2 - 2019 - Paper 1
Step 1
An odd number:
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Answer
An odd number is an integer that is not divisible by 2. A simple example of an odd number is 1, 3, 5, 7, etc. You can state: 1.
Step 2
A factor of 25:
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Answer
Factors of a number are integers that can be multiplied together to produce that number. For 25, one of its factors is 5, since 5×5=25.
Step 3
A prime number between 20 and 30:
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Answer
A prime number is a number greater than 1 that has no positive divisors other than 1 and itself. The only prime number between 20 and 30 is 23.
Step 4
Show that 55 is not a square number.
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Answer
A square number is an integer that is the square of another integer. To show that 55 is not a square number, we can check that there is no integer n such that n2=55. The integers that could yield square numbers close to 55 are 7 and 8:
72=49
82=64
Since 55 does not fall between these squares, it is confirmed that 55 is not a square number.
