Placement Test A2 Level Math V01
1) The fun
𝑓(𝑥) = 𝑥2 − 4 𝑥 ≥ 0
What is the range of 𝑓(𝑥)
𝑓(𝑥) = 𝑥2 − 4 𝑥 ≥ 0
What is the range of 𝑓(𝑥)
{𝑦 | 𝑦 > −4}
{𝑦 | 𝑦 ≥ −4}
{𝑦 | 𝑦 < −4}
{𝑦 | 𝑦 ≤ −4}
2) Use appropriate double angle formulae to solve sum of solutions of the following equations in the given
intervals.
0
3) Integrate
4) Find the first three terms, in ascending power of 𝑥, in the binomial expansion of
5) A curve 𝐶 has parametric equations
𝑥 = 2𝑡 − 1, 𝑦 = 4𝑡2 + 3
Find a Cartesian equation for the curve 𝐶 in the form 𝑦 = 𝑓(𝑥)
𝑦 = 𝑥2 − 2𝑥 − 4
𝑦 = 3𝑥2 + 2𝑥 − 2
𝑦 = 𝑥2 + 2𝑥 + 4
𝑦 = 3𝑥2 − 2𝑥 + 2
6) The point 𝐴 lies on the line with equation 𝑦 = 3𝑥 + 5. The position vector of 𝐴 is
. Find the value of 𝑘, and hence determine the coordinates of 𝐴.
. Find the value of 𝑘, and hence determine the coordinates of 𝐴.𝑘 = 5 𝑎𝑛𝑑 𝐴(10,35)
𝑘 = 5 𝑎𝑛𝑑 𝐴(5,25)
𝑘 = 7 𝑎𝑛𝑑 𝐴(10,35)
𝑘 = 7 𝑎𝑛𝑑 𝐴(10,35)
7. Solve the equation
8. Which following is equivalent to
9. It is given that
Find f(x)
10. In the expansion of 
where n is a negative integer, the coefficient of the term in 
where n is a negative integer, the coefficient of the term in -5
-4
-3
-2
11. Find the gradient of the curve with equation
at the point with coordinates (2,3).
12. Find the equation of line in vector form that through (2,0,7) and (5,2,-3)
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