AQA SUMMER
2026 PREDICTED
PAPER
AS
MATHEMATICS
7356/2
Paper 2
Mark scheme
Version: 1.0 Final
,1 Use substitution to solve the simultaneous equations
4y − 5x = − 2
3x + 2y = − 12
Answer
(4 marks)
2 The line y + 2x = 11 meets the circle with equation x 2 + y 2 + 6x − 14y = − 38 .
(i) Show that the line and circle meet at one point only.
(ii) Find the coordinates of the point of intersection.
Answer
, (4 marks)
3 (a) A slow-motion camera is used to record the motion of a cricket ball projected directly
upwards from ground level. The motion of the cricket ball is modelled by the function
h (t ) = 11t − 4 . 9t 2 t >0
where h metres is the height of the cricket ball above ground level after t seconds. The
camera will capture the cricket balls’ motion whilst it remains at least 3 m above ground
level.
Find the maximum height the cricket ball reaches and how long it takes to reach this point.
Answer
2026 PREDICTED
PAPER
AS
MATHEMATICS
7356/2
Paper 2
Mark scheme
Version: 1.0 Final
,1 Use substitution to solve the simultaneous equations
4y − 5x = − 2
3x + 2y = − 12
Answer
(4 marks)
2 The line y + 2x = 11 meets the circle with equation x 2 + y 2 + 6x − 14y = − 38 .
(i) Show that the line and circle meet at one point only.
(ii) Find the coordinates of the point of intersection.
Answer
, (4 marks)
3 (a) A slow-motion camera is used to record the motion of a cricket ball projected directly
upwards from ground level. The motion of the cricket ball is modelled by the function
h (t ) = 11t − 4 . 9t 2 t >0
where h metres is the height of the cricket ball above ground level after t seconds. The
camera will capture the cricket balls’ motion whilst it remains at least 3 m above ground
level.
Find the maximum height the cricket ball reaches and how long it takes to reach this point.
Answer