Free Printable Adv 10MC (NE20AP)

1.

What is the value of $\operatorname{cosec}\frac{\pi}{3}$ correct to three significant figures?

a)

1.00

b)

1.15

c)

1.41

d)

2.00

2.

What is the amplitude of $f\left(x\right)=-3\sin\left(2x+\frac{\pi}{3}\right)\ ?$

a)

$-\pi$

b)

$-3$

c)

$3$

d)

$\pi$

3.

What is the natural domain of $f\left(x\right)=\frac{1}{e^x}$ ?

a)

$\left(-\infty,\ \infty\right)$

b)

$\left[0,\ \infty\right)$

c)

$\left(0,\ \infty\right)$

d)

$\left(-\infty,\ 0\right]$

4.

What is the equation of the tangent to $y=x^2-3$ at $x=-1\ ?$

a)

$y=-2x-4$

b)

$y=2x-4$

c)

$y=\frac{x}{2}-\frac{3}{2}$

d)

$y=-\frac{x}{2}-\frac{3}{2}$

5.

Which one of the following is the set of all solutions to $2x^2-5x+2\ge0\ ?$

a)

$\left[\frac{1}{2},\ 2\right]$

b)

$\left(\frac{1}{2},\ 2\right)$

c)

$\left(-\infty,\ \frac{1}{2}\right)\cup\left(2,\ \infty\right)$

d)

$\left(-\infty,\ \frac{1}{2}\right]\cup\left[2,\ \infty\right)$

6.

The scatter plot shown relates the quantities x and y.

Which one of the following values is the most appropriate Pearson’s correlation coefficient for x and y?

a)

– 0.97

b)

– 0.63

c)

0.12

d)

0.55

7.

The graph of $y=f\left(x\right)$ has a stationary point at $\left(2,\ -3\right).$

Which one of the following is a guaranteed stationary point of $y=-f\left(\frac{x}{2}\right)-5\ ?$

a)

$\left(1,\ -2\right)$

b)

$\left(1,\ 2\right)$

c)

$\left(4,\ -2\right)$

d)

$\left(4,\ 2\right)$

8.

Which one of the following equations is NOT correct?

a)

$\int x\left(x^2-1\right)^2dx=\frac{\left(x^2-1\right)^3}{6}+C$

b)

$\int_{-3}^3\sqrt[]{9-x^2}dx=\frac{9\pi}{2}$

c)

$\int_{-1}^13^xdx=\frac{1}{\ln3}\left(3-\frac{1}{3}\right)$

d)

$\int_{-5}^5\left(4x^4-x^3+\cos x\right)dx=0$

9.

A particle moves according to the equation $x=t^2-\ln\left(t+1\right),$ where $t\ge0.$ How may times does the particle come to rest?

a)

0

b)

1

c)

2

d)

3

10.

a)

0.288

b)

0.512

c)

0.64

d)

0.8

Adv 10MC (NE20AP)

Total questions: 10

Worksheet time: 20mins

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