plumiTrigonometry: Edexcel International A Level Maths questions
Every Edexcel International A Level Maths exam question on P1.3 Trigonometry, 2019–2025, with its mark scheme and examiner’s report.
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All 42 questions on Trigonometry, as a list
- June 2025, AS Pure 1 (P1), Q4 (6 marks): O P Q y x Figure 1 Figure 1 shows a sketch of part of the curve with equation y = 4 cos x where x is measured in degrees. The points P and Q lie on the curve an
- June 2025, AS Pure 1 (P1), Q6 (9 marks): C B A Not to scale O Figure 2 The shaded area in Figure 2 shows the plan view of a helicopter landing pad. The area consists of the major sector AOB of a circle
- June 2025 (A), AS Pure 1 (P1), Q3 (4 marks): y x –360 –270 –180 –90 90 180 270 360 1 O –1 –2 –3 2 3 Figure 2 Figure 2 shows part of the graph of the trigonometric function with equation y = f (x) , where x
- June 2025 (A), AS Pure 1 (P1), Q9 (9 marks): P Q R C T Diagram NOT to scale Figure 4 Figure 4 shows the outline of a sign that is used to advertise a bird sanctuary. The sign is composed of a triangle CPQ
- January 2025, AS Pure 1 (P1), Q8 (13 marks): O A B C 1.9 cm 3.4 cm 6 π Figure 1 Figure 1 shows a sketch of a design for a badge. The design consists of a triangle OAB joined to a sector OBC of a circle wit
- October 2024, AS Pure 1 (P1), Q5 (9 marks): A plot of land OAB is in the shape of a sector of a circle with centre O. Given • OA = OB = 5 km • angle AOB = 1.2 radians (a) find the perimeter of the plot of
- October 2024, AS Pure 1 (P1), Q7 (8 marks): P –5 Q O C1 x y 5 Figure 3 Figure 3 shows a plot of part of the curve C1 with equation y = –4 cos x where x is measured in radians. Points P and Q lie on the cu
- June 2024, AS Pure 1 (P1), Q5 (7 marks): Diagram NOT accurately drawn A 12.2 m 10.8 m 1.3 rad 6 m 6 m D E B C Figure 2 Figure 2 shows the plan view of a garden. The shape of the garden ABCDEA consists
- June 2024, AS Pure 1 (P1), Q11 (6 marks): O P x y Figure 4 Figure 4 shows a sketch of part of the curve C1 with equation y = 12 sin x where x is measured in radians. The point P shown in Figure 4 is a m
- June 2024 (R), AS Pure 1 (P1), Q6 (9 marks): A B C D E F Diagram not drawn to scale Figure 1 Figure 1 shows a sketch of the entrance to a tunnel. The shape of the entrance consists of a sector BCDF, of a c
- June 2024 (R), AS Pure 1 (P1), Q9 (8 marks): y x O l Q P x = a x = b Figure 3 Figure 3 shows a sketch of • the curve with equation y = tan 6 π x for 0 x 2π • part of the straight line l with equa
- January 2024, AS Pure 1 (P1), Q2 (5 marks): The triangle ABC is such that • AB = 15 cm • AC = 25 cm • angle BAC = θ ° • area triangle ABC = 100 cm 2 (a) Find the value of sin θ ° Given that θ > 90 (b) fin
- January 2024, AS Pure 1 (P1), Q6 (6 marks): O P x y Figure 2 Figure 2 shows a plot of part of the curve C1 with equation y = 5 cos x with x being measured in degrees. The point P, shown in Figure 2, is a
- January 2024, AS Pure 1 (P1), Q8 (9 marks): A B C D O E Figure 3 Figure 3 shows a sketch of the plan view of a platform. The plan view of the platform consists of a sector DOC of a circle centre O joined
- October 2023, AS Pure 1 (P1), Q5 (7 marks): Diagram NOT accurately drawn A (1 + x) m θ° 5 m x m D B C Figure 2 Figure 2 shows the plan view of a frame for a flat roof. The shape of the frame consists of t
- October 2023, AS Pure 1 (P1), Q9 (7 marks): Diagram NOT accurately drawn P O Q R S C Figure 3 Figure 3 shows the plan view of the area being used for a ball‑throwing competition. Competitors must stand wi
- October 2023, AS Pure 1 (P1), Q10 (6 marks): O Q P C1 x y Figure 4 Figure 4 shows a sketch of part of the curve C1 with equation y x n 3cos x 0 where n is a constant. The curve C1 cuts the positiv
- June 2023, AS Pure 1 (P1), Q5 (10 marks): A D B O C 6 m 4 m 1.5 m Figure 1 Figure 1 shows the plan for a garden. In the plan • OA and CD are perpendicular to OD • AB is an arc of the circle with centre
- June 2023, AS Pure 1 (P1), Q9 (9 marks): (i) –3 –2 –1 O 1 2 3 –2π 2π –π π x y y = f(x) Figure 3 Figure 3 shows part of the graph of the trigonometric function with equation y = f(x) (a) Write down an e
- January 2023, AS Pure 1 (P1), Q6 (10 marks): Diagram NOT accurately drawn A D O B C Figure 1 Figure 1 shows the plan view for the design of a stage. The design consists of a sector OBC of a circle, with ce
- January 2023, AS Pure 1 (P1), Q9 (4 marks): l O x y Figure 3 Figure 3 shows a sketch of • the curve with equation y = tan x • the straight line l with equation y = πx in the interval –π < x < π (a) State
- October 2022, AS Pure 1 (P1), Q8 (14 marks): A 8 m 2 3 π rad 6 π rad 3 m 3 m X O B C Diagram NOT to scale Figure 2 Figure 2 shows the plan view of a design for a pond. The design consists of a sector AOBX
- June 2022, AS Pure 1 (P1), Q2 (5 marks): In the triangle ABC, • AB = 21 cm • BC = 13 cm • angle BAC = 25° • angle ACB = x° (a) Use the sine rule to find the value of sin x° , giving your answer to 4 de
- June 2022, AS Pure 1 (P1), Q8 (10 marks): A O D C B Figure 3 Figure 3 shows a sketch of the outline of the face of a ceiling fan viewed from below. The fan consists of three identical sections congruent
- June 2022, AS Pure 1 (P1), Q9 (8 marks): y x y = sin x O Figure 4 Figure 4 shows part of the graph of the curve with equation y = sin x Given that sin α = p , where 0 < α < 90° (a) state, in terms of p
- January 2022, AS Pure 1 (P1), Q5 (7 marks): Not to scale A C E O R D B Figure 2 Figure 2 shows a plan view of a semicircular garden ABCDEOA The semicircle has • centre O • diameter AOE • radius 3 m The st
- January 2022, AS Pure 1 (P1), Q9 (4 marks): y O P Q x Figure 4 Figure 4 shows part of the curve with equation y = A cos(x – 30)° where A is a constant. The point P is a minimum point on the curve and has
- October 2021, AS Pure 1 (P1), Q4 (5 marks): y x O Q R Figure 2 Figure 2 shows a sketch of the curve with equation y = f(x), where f(x) = cos 2x o 0 x k The point Q and the point R(k, 0) lie on the cur
- October 2021, AS Pure 1 (P1), Q7 (10 marks): A C O θ X B Figure 3 Figure 3 shows the design for a sign at a bird sanctuary. The design consists of a kite OABC joined to a sector OCXA of a circle centre O.
- June 2021, AS Pure 1 (P1), Q3 (9 marks): In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable. Not drawn to scale B q m C A p m 60° 2
- June 2021, AS Pure 1 (P1), Q7 (10 marks): E l2 1.8 rad B D x y l1 C O Figure 3 The line l1 has equation 4y + 3x = 48 The line l1 cuts the y-axis at the point C, as shown in Figure 3. (a) State the y coo
- June 2021, AS Pure 1 (P1), Q9 (7 marks): l x y O Figure 4 Figure 4 shows a sketch of the curve with equation y = tan x –2π x 2π The line l, shown in Figure 4, is an asymptote to y = tan x (a) State
- January 2021, AS Pure 1 (P1), Q3 (5 marks): O x y P Q C1 Figure 1 Figure 1 shows a sketch of part of the curve C1 with equation y = 4 cos x° The point P and the point Q lie on C1 and are shown in Figure 1
- January 2021, AS Pure 1 (P1), Q5 (9 marks): O D B C A Not to scale Figure 3 Figure 3 shows the plan view of a viewing platform at a tourist site. The shape of the viewing platform consists of a sector ABC
- October 2020, AS Pure 1 (P1), Q3 (10 marks): Diagram not drawn to scale A α 5 cm 3 cm 3 cm O B C Figure 1 Figure 1 shows the design for a badge. The design consists of two congruent triangles, AOC and BOC,
- January 2020, AS Pure 1 (P1), Q4 (9 marks): A Not to scale B C O D P Figure 2 Figure 2 shows the plan view of a house ABCD and a lawn APCDA. ABCD is a rectangle with AB = 16 m. APCOA is a sector of a circ
- January 2020, AS Pure 1 (P1), Q7 (5 marks): y O P Q x Figure 3 Figure 3 shows part of the curve C1 with equation y = 3sinx, where x is measured in degrees. The point P and the point Q lie on C1 and are sh
- June 2019, AS Pure 1 (P1), Q7 (10 marks): A O C D B 6 cm 5 cm 0.7 rad Not to scale Figure 2 The shape ABCDA consists of a sector ABCOA of a circle, centre O, joined to a triangle AOD, as shown in Figure
- June 2019, AS Pure 1 (P1), Q9 (7 marks): 2 O í í y ș q 270q q 90q Figure 3 )LJXUHVKRZVDSORWRIWKHFXUYHZLWKHTXDWLRQy = sin ș, 0 - ș -q (a) State the coordinates of the minimum p
- January 2019, AS Pure 1 (P1), Q5 (6 marks): y x O P Figure 2 Figure 2 shows a plot of part of the curve with equation y = cos 2x with x being measured in radians. The point P, shown on Figure 2, is a mini
- January 2019, AS Pure 1 (P1), Q7 (6 marks): A B C D 35° Not to scale Figure 3 Figure 3 shows the design for a structure used to support a roof. The structure consists of four wooden beams, AB, BD, BC and
- January 2019, AS Pure 1 (P1), Q10 (7 marks): A sector AOB, of a circle centre O, has radius r cm and angle θ radians. Given that the area of the sector is 6 cm2 and that the perimeter of the sector is 10 c
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