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Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2013 | Oct-Nov | (P1-9709/13) | Q#6

Hits: 410   Question The diagram shows sector OAB with centre O and radius 11 cm. Angle  radians. Points C and D lie on OA and OB respectively. Arc CD has centre O and  radius 5 cm. i.       The area of the shaded region ABDC is equal to k times the area of the unshaded  region OCD. Find k.    […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2013 | Oct-Nov | (P1-9709/11) | Q#8

Hits: 755   Question The inside lane of a school running track consists of two straight sections each of  length x metres, and two semicircular sections each of radius r metres, as shown in  the diagram. The straight sections are perpendicular to the diameters of the  semicircular sections. The perimeter of the inside lane is 400 metres. i.       Show that […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2013 | Oct-Nov | (P1-9709/11) | Q#6

Hits: 466   Question The diagram shows a metal plate made by fixing together two pieces, OABCD  (shaded) and OAED (unshaded). The piece OABCD is a minor sector of a circle with  centre O and radius . The piece OAED is a major sector of a circle with centre O and radius . Angle AOD is  radians. Simplifying […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2013 | May-Jun | (P1-9709/13) | Q#2

Hits: 665   Question The diagram shows a circle C with centre O and radius 3 cm. The radii OP and OQ  are extended to S and R respectively so that ORS is a sector of a circle with centre  O. Given that PS = 6 cm and that the area of the shaded region is equal to […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2013 | May-Jun | (P1-9709/12) | Q#4

Hits: 532   Question The diagram shows a square ABCD of side 10 cm. The mid-point of AD is O and BXC is an arc of a circle with centre O.      i.       Show that angle BOC is 0.9273 radians, correct to 4 decimal places.    ii.       Find the perimeter of the shaded region.   iii.       Find the area of the shaded […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2013 | May-Jun | (P1-9709/11) | Q#3

Hits: 573   Question In the diagram, OAB is a sector of a circle with centre O and radius 8 cm. Angle BOA  is  radians. OAC is a semicircle with diameter OA. The area of the semicircle  OAC is twice the area of the sector OAB.      i.       Find  in terms of .    ii.       Find the perimeter of the complete figure […]