Photo AI

Pair of values: 1 - Edexcel - GCSE Maths - Question 8 - 2022 - Paper 1

Question icon

Question 8

Pair-of-values:--1-Edexcel-GCSE Maths-Question 8-2022-Paper 1.png

Pair of values: 1. For at least 5 multiples of 5 (but no more than 1 incorrect) or at least 5 multiples of 7 (but no more than 1 incorrect) or for a = n multiple... show full transcript

Worked Solution & Example Answer:Pair of values: 1 - Edexcel - GCSE Maths - Question 8 - 2022 - Paper 1

Step 1

For at least 5 multiples of 5 (but no more than 1 incorrect) or at least 5 multiples of 7 (but no more than 1 incorrect)

96%

114 rated

Answer

We can identify the multiples of 5 as: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50. This gives us 10 multiples.

For multiples of 7, the sequence is: 7, 14, 21, 28, 35, 42, 49, 56. This gives us 8 multiples.

Therefore, both conditions are satisfied.

Step 2

For a = n multiples of 25 and m = multiples of 14

99%

104 rated

Answer

Let’s assume n to be 25, the multiples of 25 would be: 25, 50, 75, 100, etc.

For m, if we take it as 14, then the multiples are: 14, 28, 42, 56, 70, 84, 98.

Hence, we have pairs (25, 14), (50, 28), etc.

Step 3

For a correct pair of values, let n = 35 and m = 14 or let n = 35 and m = 28 or let n = 100 and m = 14.

96%

101 rated

Answer

Correct pairs could be established as follows:

  1. When n = 35 and m = 14: This results in the pair (35, 14).
  2. When n = 35 and m = 28: This results in the pair (35, 28).
  3. When n = 100 and m = 14: This results in the pair (100, 14).

Further examples:

  • (35, 14)
  • (35, 28)
  • (100, 14) Additional pairs can be derived from multiples per the conditions.

Join the GCSE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;