2021 Paper 1 (25/03/2025)

Question 1

What is an integer?

Answer 1

An integer value is a whole number value

Question 2

Using suitable interval and function to prove a value?

Answer 2

Get the edge of rounding for upper and lower values of value wanting to prove. Substitute these into the function and if there is a sign change in the two values and the function is continuous it means the value is proved

Question 3

Range of x where expansion is valid?

Answer 3

|x| < b/a where (ax - b)

Question 4

Limitations of Graphically modelling trajectory problems?

Answer 4

Ground is unlikely to be horizontal. Objects aren’t particles so will have size and dimensions, object is likely to spin meaning it’s unlikely to travel in the vertical plane

Question 5

Proof by exhaustion?

Answer 5

For a finite number of cases check if the statement is true for each case and summarise findings at the end

Question 6

Proof by contradiction?

Answer 6

Write a contradiction by changing one thing from the original statement. Then test the statement with this contradiction and see the result. If there is a contradiction it means the statement was true and this is identified by summary at the end