A level Maths 2024/2025 Exam
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100% Correct Answers
if two lines are perpendicular, what must their gradients equal to when
multiplied together? - 🧠 ANSWER ✔✔-1
What is the equation to calculate the gradient of a line? - 🧠 ANSWER
✔✔y₂-y₁/x₂-x₁
What is the equation to calculate the length of a line? - 🧠 ANSWER
✔✔√(y₂−y₁)^2 + (x₂-x₁)^2
What is the equation to calculate the midpoint of a line? - 🧠 ANSWER
✔✔(x₂+x₁) over 2 , (y₂+y₁) over 2
What is the equation of a circle? - 🧠 ANSWER ✔✔x²+y²=r²
How do you find the midpoint of a circle from the equation? - 🧠 ANSWER
✔✔(x-a)²+(y-b)²=r²
If a factor of a line equation is (x-2)², or the line equation is just y=(x-2)²,
how many solutions does (x-2)² give and what does this look like on a
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, graph. - 🧠 ANSWER ✔✔This gives just one solution, that x=2. This means
that the line just touches the x axis at (2,0).
What does a x⁴ and a -x⁴ graph look like? - 🧠 ANSWER ✔✔An x⁴ looks like
aW
A -x⁴ looks like an upside down W
What does an x³ and a -x³ graph look like? - 🧠 ANSWER ✔✔An x³ graph
appears to travel from bottom left to top right with two curves
A -x³ graph appears to travel from bottom right to top left with also two
curves
How do you find the min/max point of a quadratic? - 🧠 ANSWER
✔✔Complete the square; the x in the bracket will be the x coordinate and
the number out the bracket will be the y coordinate
How do you establish that (x-3) for example, is a factor of an equation? - 🧠
ANSWER ✔✔Sub in 3 for example. If it is a factor, there will be no
remainder and it will equal 0.
If no factors of an equation are given and you are asked to factorise, what
should you do? - 🧠 ANSWER ✔✔Try small integers using substitution
COPYRIGHT©NINJANERD 2025/2026. YEAR PUBLISHED 2025. COMPANY REGISTRATION NUMBER: 619652435. TERMS OF USE. PRIVACY
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STATEMENT. ALL RIGHTS RESERVED
Questions and Detailed Answers | Get it
100% Correct Answers
if two lines are perpendicular, what must their gradients equal to when
multiplied together? - 🧠 ANSWER ✔✔-1
What is the equation to calculate the gradient of a line? - 🧠 ANSWER
✔✔y₂-y₁/x₂-x₁
What is the equation to calculate the length of a line? - 🧠 ANSWER
✔✔√(y₂−y₁)^2 + (x₂-x₁)^2
What is the equation to calculate the midpoint of a line? - 🧠 ANSWER
✔✔(x₂+x₁) over 2 , (y₂+y₁) over 2
What is the equation of a circle? - 🧠 ANSWER ✔✔x²+y²=r²
How do you find the midpoint of a circle from the equation? - 🧠 ANSWER
✔✔(x-a)²+(y-b)²=r²
If a factor of a line equation is (x-2)², or the line equation is just y=(x-2)²,
how many solutions does (x-2)² give and what does this look like on a
COPYRIGHT©NINJANERD 2025/2026. YEAR PUBLISHED 2025. COMPANY REGISTRATION NUMBER: 619652435. TERMS OF USE. PRIVACY
1
STATEMENT. ALL RIGHTS RESERVED
, graph. - 🧠 ANSWER ✔✔This gives just one solution, that x=2. This means
that the line just touches the x axis at (2,0).
What does a x⁴ and a -x⁴ graph look like? - 🧠 ANSWER ✔✔An x⁴ looks like
aW
A -x⁴ looks like an upside down W
What does an x³ and a -x³ graph look like? - 🧠 ANSWER ✔✔An x³ graph
appears to travel from bottom left to top right with two curves
A -x³ graph appears to travel from bottom right to top left with also two
curves
How do you find the min/max point of a quadratic? - 🧠 ANSWER
✔✔Complete the square; the x in the bracket will be the x coordinate and
the number out the bracket will be the y coordinate
How do you establish that (x-3) for example, is a factor of an equation? - 🧠
ANSWER ✔✔Sub in 3 for example. If it is a factor, there will be no
remainder and it will equal 0.
If no factors of an equation are given and you are asked to factorise, what
should you do? - 🧠 ANSWER ✔✔Try small integers using substitution
COPYRIGHT©NINJANERD 2025/2026. YEAR PUBLISHED 2025. COMPANY REGISTRATION NUMBER: 619652435. TERMS OF USE. PRIVACY
2
STATEMENT. ALL RIGHTS RESERVED
