Revision Paper 15: Graphs and Coordinate Geometry
- Linear Graphs
- Quadratic Graphs
- Coordinate Geometry
Q1(a)(c)(i)x = 5 (c)(ii)
(d)
Q2(c) G (–1, –2) (d) rectangle
Q3(a) A: , B: , C: (b)p = 3
Q4(b) 10 units2 (c)(d)
Q5(a) (1, 2) (b) (ii)(iii)(c) (5, 4)
Q6(c) 24.5 units2 (e) 49 units2
Q7(a) (d)(0.25, −1.5)
Q8(a) Equation of l1: y = –3, Equation of l2: x = 4, Equation of l3: y = – 3x – 3,
Equation of l4:
(b) Equation of line: (c)No need to do
(d)
Q9
Q10(a), (b) 5.33 units2
Q11
Area of ∆ABC = 9 cm2
Q12A(10, 0), B(0, 10)
Q13p = 3, q = 7
Q14
x = 4, y = −4
Q15
Q16
Q17(a) (2, 14) (b)y = 2x + 10 (c) 63 units2
Q18
Q19(a)(6, 0)(b)The curve has a line symmetry atx = 3.
(c)(i) (4, 8) (ii)y = 2x + 10 (iii) 6
Q20
Q21
Q22(a)m = – 2, c = 4 (b) 4.47 units (c)k = 1 (d)x = 0.5
Q23A(−1, 0), B(0, 5), C(2, 9), D(5, 0)
Q24(a)A = (3, 0) (b)x = 1.5 (c) (1.5, 4.5) (d)
Q25(a) 9 (b)x = 1 (c)(d) 8 (e) (0, 8)
Q26(a) (i)(ii)q = 10 (b)
Q27(a)
(b)
(c)
Q28C
Q29Equation of line of symmetry: .Turning Point = (−0.5, 16)
Q30A, B(2, 0), C.
Q31a = – 2, b = 2, c = 4
Q32No need to do
Q33(a) (1, 0), (7, 0), (0, 7) (b) (4, –9)
(c)
Q34(a)(b)y = 12.25
Q359.43 units2
Q36(a) (i)(ii) 15.6 (b)
Q37(a) 1 (b)
Q38
Q39(a) 2, 2 (b) Parallel lines
Q40(b) (3, 1) (c) 0 (d)y = 1 (e) 7.5 units2 (f) 3 units
Q41(a) 1 (b)
Q42
Q43(a) 8.49 units (b) 1 (c)y = x + 2 (d)c = 0, m = 1, y = x
Q44(a) 1.33 (b)y = 1.33x (c) 5
Q45(a)(b)
Q46(a)(b)(c)(d)
Q47(i)(ii)(iii)P (-11, 0), Q (0, -5.5) (iv) 12.3
Q48Q = 4, R = 2
Q49(a) (i) 1 (ii) 1 (b) Gradient of AB and gradient of BC are the same.
Q50
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