Practise Question bank Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.
Sign in to check answers. Your attempts build your mastery and error book.
15 questions
SA-9709-P1-DF-001 2 marks L1 Foundation Calculator Power rule
Find d y d x \dfrac{dy}{dx} d x d y y = 3 x 4 − 5 x 2 + 7 y=3x^4-5x^2+7 y = 3 x 4 − 5 x 2 + 7
Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF1-001 1 mark L1 Foundation Calculator Chords to tangents
Find the gradient of the chord joining ( 2 , 4 ) (2,4) ( 2 , 4 ) ( 2.1 , 4.41 ) (2.1,\ 4.41) ( 2.1 , 4.41 ) y = x 2 y=x^2 y = x 2
Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF1-003 2 marks L1 Foundation Calculator Power rule
Find d y d x \dfrac{dy}{dx} d x d y y = x 5 − 2 x 3 + x y=x^5-2x^3+x y = x 5 − 2 x 3 + x
Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF1-007 2 marks L1 Foundation Calculator Using gradients
Find the gradient of the curve y = x 3 − 4 x y=x^3-4x y = x 3 − 4 x x = 2 x=2 x = 2
Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF1-Q01 1 mark L1 Foundation Calculator Power rule
d d x ( 5 ) \dfrac{d}{dx}(5) d x d ( 5 )
Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF-G01 3 marks L1 Foundation Calculator Power rule
Given y = 4 x 3 − 6 x + 2 x y=4x^3-6x+\dfrac{2}{x} y = 4 x 3 − 6 x + x 2 d y d x \dfrac{dy}{dx} d x d y
Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF-Q01 1 mark L1 Foundation Calculator Power rule
d d x ( x − 3 ) \dfrac{d}{dx}\left(x^{-3}\right) d x d ( x − 3 )
Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF-002 3 marks L2 Standard Calculator Power rule
Find d y d x \dfrac{dy}{dx} d x d y y = 6 x + 4 x 2 y=6\sqrt{x}+\dfrac{4}{x^2} y = 6 x + x 2 4
Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF1-002 2 marks L2 Standard Calculator Chords to tangents
P P P ( 3 , 9 ) (3,9) ( 3 , 9 ) y = x 2 y=x^2 y = x 2 Q Q Q ( 3 + h , ( 3 + h ) 2 ) (3+h,\ (3+h)^2) ( 3 + h , ( 3 + h ) 2 ) P Q PQ P Q a + h a+h a + h a a a P P P
Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF1-004 2 marks L2 Standard Calculator Power rule
Find d y d x \dfrac{dy}{dx} d x d y y = ( x + 3 ) ( x − 2 ) y=(x+3)(x-2) y = ( x + 3 ) ( x − 2 )
Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF1-005 2 marks L2 Standard Calculator Power rule
Find d y d x \dfrac{dy}{dx} d x d y y = x 2 + 4 x y=\dfrac{x^2+4}{x} y = x x 2 + 4
Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF1-006 2 marks L2 Standard Calculator Power rule
Find d y d x \dfrac{dy}{dx} d x d y y = 6 x 2 3 y=6\sqrt[3]{x^2} y = 6 3 x 2
Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF1-008 2 marks L2 Standard Calculator Using gradients
Find the x x x y = x 3 y=x^3 y = x 3 12 12 12
Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF1-009 2 marks L2 Standard Calculator Using gradients
Find d 2 y d x 2 \dfrac{d^2y}{dx^2} d x 2 d 2 y y = 2 x 4 + 3 x y=2x^4+\dfrac{3}{x} y = 2 x 4 + x 3
Salam Academy Original Practice · Proposed mark scheme
SA-9709-P1-DF1-010 4 marks L4 Challenging Calculator Using gradients
The curve y = a x 2 + b x y=ax^2+bx y = a x 2 + b x 7 7 7 x = 1 x=1 x = 1 − 1 -1 − 1 x = − 1 x=-1 x = − 1 a a a b b b
Salam Academy Original Practice · Proposed mark scheme