Hits: 1067

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2011 | Oct-Nov | (P1-9709/11) | Q#5

Hits: 1067   Question The diagram represents a metal plate , consisting of a sector  of a circle with centre  and radius , together with a triangle  which is right-angled at C. Angle  radians and  is perpendicular to . i.       Find an expression in terms of  and  for the perimeter of the plate. ii.    For the case where  and […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2011 | Oct-Nov | (P1-9709/13) | Q#4

Hits: 1775 Question In the diagram, ABCD is a parallelogram with AB=BD=DC=10cm and angle ABD= 0.8 radians. APD and BQC are arcs of circles with centres B and D respectively.     i.       Find the area of the parallelogram ABCD.    ii.       Find the area of the complete figure ABQCDP.   iii.       Find the perimeter of the complete figure ABQCDP. Solution i.   Expression for […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2011 | Oct-Nov | (P1-9709/12) | Q#6

Hits: 1288 Question The diagram shows a circle  touching a circle  at a point . Circle  has centre A and radius 6cm, and circle  has centre B and radius 10 cm. Points D and E lie on  and  respectively and DE is parallel to AB. Angle  radians and angle  radians.     i.       By considering the perpendicular distances of D […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2011 | May-Jun | (P1-9709/13) | Q#7

Hits: 1540 Question In the diagram, AB is an arc of a circle, centre O and radius 6 cm, and angle  radians. The line AX is a tangent to the circle at A, and OBX is a straight line.     i.       Show that the exact length of AX is  cm.  Find, in terms of  and ,    ii.       the area of the shaded […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2011 | May-Jun | (P1-9709/11) | Q#9

Hits: 2241 Question In the diagram, OAB is an isosceles triangle with  and angle  radians. Arc PST has centre O and radius , and the line ASB is a tangent to the arc PST at S.     i.       Find the total area of the shaded regions in terms of  and .    ii.       In the case where  and , find the […]