O-LevelMathematicsAlgebra and graphs4024/12 · May/June 2014 · Q255 Marks
In quadrilateral ABCD angle A = (2y + x)° angle B = (3y + x)° angle C = (2y + 10)° angle D = (3x + 5)°
- (a)By finding the sum of the angles in the quadrilateral, show that 7y + 5x = 345.[1]
- (b)Given that angle A = 90° then 2y + x = 90. Solve the simultaneous equations to find x and y. 7y + 5x = 345 2y + x = 90[3]
- (c)Find the size of the smallest angle in the quadrilateral.[1]
Mark scheme
Marking points from the official mark scheme (May/June 2014). The mark or mark type is shown in brackets.
- [1] (2y + x) + (3y + x) + (2y + 10) + (3x + 5) = 360
- [3] x = 20, y = 35
- [3] B2 for one correct with supporting working
- [3] Or M1 for correct method to eliminate one variable, condoning one arithmetic slip,
- [3] Or correct substitution to obtain an equation in one variable and
- [3] A1ft for correct evaluation to find the other variable
- [3] Or SC1 After 0 scored, for correct substitution and evaluation to find the other variable
- [1] 65 cao
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