Hits: 901

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2006 | Oct-Nov | (P1-9709/01) | Q#6

Hits: 901   Question In the diagram, ABC is a triangle in which AB=4 cm, BC=6 cm and angle ABC=150◦. The line CX is perpendicular to the line ABX.      i.       Find the exact length of BX and show that    ii.       Show that the exact length of AC is  cm. Solution i.   It is evident that BCX is a […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2006 | Oct-Nov | (P1-9709/01) | Q#2

Hits: 320 Question Given that  , find the exact value of      i.           ii.        Solution i.   We are given that; We can rewrite it as; We have the trigonometric identity; We can also rewrite it as; For the given case; Substituting   in this equation; ii.   We have the trigonometric relation; Taking square of both sides; For the given case; […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2006 | May-Jun | (P1-9709/01) | Q#2

Hits: 341 Question Solve the equation  for . Solution First we need to manipulate the given equation to write it in a single trigonometric ratio i.e. ; Dividing the entire equation with ; Using the relation ; To solve this equation for , we can substitute . Hence, Since given interval is  , for  interval can be found as follows; Multiplying the entire […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2006 | Oct-Nov | (P1-9709/01) | Q#9

Hits: 1266 Question The diagram shows an open container constructed out of 200 cm2 of cardboard. The two vertical end pieces are isosceles triangles with sides  cm,  cm and  cm, and the two side pieces are rectangles of length  cm and width  cm, as shown. The open top is a horizontal rectangle.      i.       Show that      ii.       Show that the volume, […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2006 | Oct-Nov | (P1-9709/01) | Q#3

Hits: 1241 Question In the diagram, AOB is a sector of a circle with centre O and radius 12 cm. The point A lies on the side CD of the rectangle OCDB. Angle  radians. Express the area of the shaded region in the form  , stating the values of the integers  and . Solution From the given information we […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2006 | May-Jun | (P1-9709/01) | Q#6

Hits: 412 Question In the diagram, ABC is a triangle in which  cm,  cm and angle . The line CX is perpendicular to the line ABX. i.       Find the exact length of BX and show that .    ii.       Show that the exact length of AC is Solution From the given information we can compile following data; i.   To find […]