Hits: 45

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2019 | Oct-Nov | (P1-9709/13) | Q#4

Hits: 45 Question The diagram shows a semicircle ACB with centre O and radius . Arc OC is part of a circle with  centre A. (i)Express angle CAO in radians in terms of . (ii)Find the area of the shaded region in terms of ,  and , simplifying your answer. Solution (i)   We are […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2019 | Oct-Nov | (P1-9709/12) | Q#4

Hits: 61 Question The diagram shows a circle with centre O and radius cm. Points A and B lie on the circle and  angle radians. The tangents to the circle at A and B meet at T.     i.      Express the perimeter of the shaded region in terms of  and .   ii.      In the […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2019 | Oct-Nov | (P1-9709/11) | Q#8

Hits: 67 Question The diagram shows a sector OAC of a circle with centre O. Tangents AB and CB to the circle meet  at B. The arc AC is of length 6 cm and angle  radians. i.       Find the length of OA correct to 4 significant figures.    ii.       Find the perimeter of the shaded […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2019 | May-Jun | (P1-9709/13) | Q#3

Hits: 891 Question The diagram shows triangle ABC which is right-angled at A. Angle radians and AC = 8  cm. The points D and E lie on BC and BA respectively. The sector ADE is part of a circle with centre  A and is such that BDC is the tangent to the arc DE at […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2019 | May-Jun | (P1-9709/12) | Q#5

Hits: 612 Question The diagram shows a semicircle with diameter AB, centre O and radius r. The point C lies on the  circumference and angle AOC = radians. The perimeter of sector BOC is twice the perimeter of  sector AOC. Find the value of correct to 2 significant figures. Solution We are required to find […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2019 | May-Jun | (P1-9709/11) | Q#3

Hits: 409 Question A sector of a circle of radius cm has an area of  cm2. Express the perimeter of the sector in  terms of and . Solution We are given that for the circular sector; We are required to find expression for perimeter of the circular sector. Expression for perimeter of a circular sector […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2019 | Feb-Mar | (P1-9709/12) | Q#3

Hits: 377 Question In the diagram, CXD is a semicircle of radius 7 cm with centre A and diameter CD. The straight line  YABX is perpendicular to CD, and the arc CYD is part of a circle with centre B and radius 8 cm. Find the total area of the region enclosed by the two […]