# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | Oct-Nov | (P1-9709/13) | Q#3

Question The diagram shows an arc BC of a circle with centre A and radius 5 cm. The length of the arc BC is  4 cm. The point D is such that the line BD is perpendicular to BA and DC is parallel to BA.      i.       Find angle BAC in radians.    ii.       Find […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | Oct-Nov | (P1-9709/12) | Q#8

Question The diagram shows an isosceles triangle ACB in which AB = BC = 8 cm and AC = 12 cm. The arc  XC is part of a circle with centre A and radius 12 cm, and the arc YC is part of a circle with centre B  and radius 8 cm. The points A, […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | Oct-Nov | (P1-9709/11) | Q#9

Question The diagram shows a triangle OAB in which angle ABO is a right angle, angle AOB =  radians  and AB = 5 cm. The arc BC is part of a circle with centre A and meets OA at C. The arc CD is part  of a circle with centre O and meets OB at […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | Feb-Mar | (P1-9709/12) | Q#6

Question The diagram shows a sector POQ of a circle of radius 10 cm and centre O. Angle POQ is 2.2  radians. QR is an arc of a circle with centre P and POR is a straight line.     i.       Show that the length of PQ is 17.8 cm, correct to 3 significant figures.    […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | May-Jun | (P1-9709/13) | Q#5

Question The diagram shows a triangle OAB in which angle OAB = 90o and OA = 5 cm. The  arc AC is part of a circle with centre O. The arc has length 6 cm and it meets OB at  C. Find the area of the shaded region. Solution It is evident from the diagram […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | May-Jun | (P1-9709/12) | Q#6

Question The diagram shows points A and B on a circle with centre O and radius r. The  tangents to the circle at A and B meet at T. The shaded region is bounded by the  minor arc AB and the lines AT and BT. Angle AOB is  radians.      i.       In the case where […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2018 | May-Jun | (P1-9709/11) | Q#6

Question The diagram shows a circle with centre O and radius r cm. The points A and B lie on  the circle and AT is a tangent to the circle. Angle radians and OBT is a  straight line.      i.       Express the area of the shaded region in terms of r and .    ii. […]