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A Level Further Maths Core Pure Year 2 Chapter 3: Mini test

Authored by Matthew Grose

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A Level Further Maths Core Pure Year 2 Chapter 3: Mini test
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5 questions

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1.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

What makes an integral improper?

Top heavy integral
Its limits are undefined
Its limits are infinite
It is not continous in the interval

2.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Mean value

\frac{1}{a-b}\int_a^bf\left(x\right)dx
\frac{1}{b-a}\int_a^b\left(f\left(x\right)\right)^2dx
\pi\int_a^b\left(f\left(x\right)\right)^2dx
\frac{1}{b-a}\int_a^bf\left(x\right)dx

3.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Media Image

Graph reminder...

arccos
arcsin
arsin
arctan

4.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Partial fractions \frac{20}{\left(x^2-9\right)\left(x^2+3\right)}

\frac{A}{\left(x^2-9\right)}+\frac{B}{\left(x^2+3\right)}
\frac{A}{\left(x^2-9\right)}+\frac{Bx+C}{\left(x^2+3\right)}
Media Image
\frac{Ax+B}{\left(x^2-9\right)}+\frac{Cx+D}{\left(x^2+3\right)}

5.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

What does this need to become? \frac{1}{\sqrt{10-2x^2}}

\frac{1}{10\sqrt{1-2x^2}}
\frac{1}{\sqrt{10}\sqrt{1-\frac{1}{5}x^2}}
\frac{1}{\sqrt{10}\sqrt{1-\frac{2}{\sqrt{10}}x^2}}
\frac{1}{\sqrt{10}\sqrt{1-2x^2}}

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