10 (MM) - Quadratics Test 1 2020 Final - SOLUTIONS
10 (MM) - Quadratics Test 1 2020 Final - SOLUTIONS
10 (MM) - Quadratics Test 1 2020 Final - SOLUTIONS
Class: __________________________________________
Teacher: _________________________________________
Instructions:
Calculators and reference notes are NOT permitted.
Full and appropriate working out is required for all questions. Marks will be awarded for working out as well as
for correct answers. Only working that shows a logical and constructive method towards a correct solution will
be awarded marks.
Students are to write in blue or black pen.
No communication is allowed during the examination.
Total: 33 Marks
1
Question 1 (4 marks)
Expand the following expressions:
a. 1 mark
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b. 1 mark
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c. 2 marks
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Question 2 (4 marks)
Factorise the following expressions:
a. 1 mark
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b. 1 mark
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c. 2 marks
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2
Question 3 (6 marks)
a. 2x (x + 1) = 0 2 marks
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b. x2 – 16 = 0 2 marks
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c. x2 – x = 6 2 marks
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3
Question 4 (5 marks)
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b. 1 mark
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x2 x 2 x2 4x 4
2
c. x2 4 x 5x 4
3 marks
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4
Question 5 (5 marks)
For the parabola y = x2 – 4x – 1:
a. i. Complete the square to express the equation in the form y = (x – h)2 + k 2 marks
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5
Question 6 (4 marks)
Sketch , labelling the turning point and the x- and y- intercepts.
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6
Question 7 (5 marks)
For the parabola 𝑦 = 𝑥 2 + 2𝑥 − 15
a. Find the coordinates of the x-intercepts 2 marks
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b. Graph this parabola showing all intercepts and the turning point. 3 marks
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END OF TEST
7
Year 10 Mathematical Methods
Miscellaneous Formulae
Linear Relations
m = y2 – y1
x2 – x1
m = tan
y – y1 = m(x – x1)
x1 + x2 y1 + y2
M=
2 2
2 2
d = (x2 – x1) + (y2 – y1)
Algebra
(a b) 2 a 2 2ab b 2
(a b)(a b) a 2 b 2
(a b)3 a 3 3a 2b 3ab 2 b3
(a b)3 a 3 3a 2b 3ab 2 b3
a 3 b3 (a b)(a 2 ab b 2 )
a 3 b3 (a b)(a 2 ab b 2 )
x= – b
2a
2
General form: y = ax + bx + c
Intercept form: y = a(x + d)(x + e)
2
Turning point form: y = a(x – h) + k