O-LevelMathematicsCoordinate geometry4024/22 · May/June 2015 · Q19 Marks
Section A [52 marks] Answer all questions in this section.
- (a)Simplify 4x - 1 / 3 + 3x + 5 / 2[2]
- (b)(i)Find the gradient of line J.[1]
- (b)(ii)Write down the equation of line K.[1]
- (b)(iii)Draw a line, L, through (6, 1) such that the area enclosed between J, K and L is 6 cm².[1]
- (b)(iv)Find the equation of line L.[2]
- (b)(v)The line N is perpendicular to line J at (2, 2). Find the coordinates of the point where line N crosses the y-axis.[2]
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Mark scheme
Marking points from the official mark scheme (May/June 2015). The mark or mark type is shown in brackets.
- [2] M1 for 2(4x-1)/6 + 3(3x + 5)/6 or better oe; 17x+13/6 cao final answer
- [1] 1/2 or 0.5 cao
- [1] y = 1 final answer
- [1] Line from (6, 1) to (4, 3)
- [2] B1 for any equation with grad -1 and/or intercept 7; y = -x + 7 final answer
- [2] B1 for line from (2, 2) with y-intercept between 5 and 7 soi Or for correct (unsimplified) equation (y = -2x + 6); (0, 6)
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