Area P6 2010 SA2 Rosyth P2 Q15

Given ABCD is a square so Angle DAC = BAC = 45 degree. Thus AGFH is also a square and hence GF = FH.

Area of triangle ABF = Area of triangle AFI = Area of triangle BFI (since base and height are the same)

1/2 x 6 x 12 = 36

36/3 = 12 cm2

1/2 x 12 x 12 = 72 cm2

72 - 12 = 60 cm2

It is 60 cm2.

Fraction P6 2010 SA2 Rosyth P2 Q18

Xavier, Yati and Zul each had a certain number of stamps. At first, Yati had 200 stamps more than Xavier and Zul had ¾ the number of stamps Yati had. After Yati gave away 1/8 of her stamps to Xavier, she had 60 fewer stamps than Xavier. What was the ratio of the number of stamps Xavier had to the number of stamps Yati had to the number of stamps Zul had at first? Give your answer in the simplest form. [5 marks][Answer given: 42:52:39]


3/4 x 200 = 150

X [][][][][][][][]
Y [][][][][][][][][    200   ]
Z  [][][][][][][ 150 ]

1/8 x 200 = 25


X [][][][][][][][][][  25 ]
Y [][][][][][][][ 175 ]<  60 >

2 u --> 175 + 60 - 25 = 210
1 u --> 210/2 = 105

6 u --> 6 x 105 = 630

630 + 150 = 780

8 u --> 8 x 105 = 840

840 + 200 = 1040
840 : 1040 : 780 = 42 : 52 : 39

It was 42 : 52 : 39