Free Printable X1 10MC (BB20)

1.

a)

$-2$

b)

$34$

c)

$\sqrt[]{34}$

d)

$\sqrt[]{8}$

2.

Five Year 11 students and five Year 12 students are seated around a circular table.

How many ways can the students be seated if the Year 11 Students and Year 12 students must alternate?

a)

14 400

b)

2 880

c)

576

d)

5 040

3.

What is the derivative of $\cos^{-1}3x\ ?$

a)

$-\frac{1}{\sqrt[]{1-9x^2}}$

b)

$-\frac{3}{\sqrt[]{1-9x^2}}$

c)

$-\frac{1}{\sqrt[]{1-3x^2}}$

d)

$-\frac{3}{\sqrt[]{1-3x^2}}$

4.

A differential equation is given by $y'=x^2+y^2+1$ .

Which of the following slope fields best represents the differential equation?

a)

b)

c)

d)

5.

What is the primitive function of $y=\sin x\cos^3xdx\ ?$

a)

$y=\frac{1}{4}\cos^4x+C$

b)

$y=-\frac{1}{4}\cos^4x+C$

c)

$y=\frac{1}{8}\sin^2x\cos^4x+C$

d)

$y=-\frac{1}{8}\sin^2x\cos^4x+C$

6.

The diagram shows the graph of an inverse trigonometric function.

Which function produces the graph in the diagram?

a)

$f\left(x\right)=-\sin^{-1}\left(\frac{x}{2}+1\right)-\pi$

b)

$f\left(x\right)=-2\sin^{-1}\left(x+1\right)-\pi$

c)

$f\left(x\right)=-\cos^{-1}\left(\frac{x}{2}+1\right)$

d)

$f\left(x\right)=-2\cos^{-1}\left(x+1\right)$

7.

The polynomial $P\left(x\right)=x^3-12x^2+21x+k=0$ has a double root.

What are the possible values of k ?

a)

$k=-1$ or $k=-7$

b)

$k=1$ or $k=7$

c)

$k=10$ or $k=-98$

d)

$k=-10$ or $k=98$

8.

A fair coin is tossed 25 times.

The cumulative probability of some z-scores on the normal distribution are provided:

$P\left(Z<1\right)=0.84134$

$P\left(Z<1.2\right)=0.88493$

$P\left(Z<1.4\right)=0.91924$

$P\left(Z<1.6\right)=0.94520$

What is the best estimate of the probability that the number of heads is greater than 15?

a)

0.15866

b)

0.11507

c)

0.08076

d)

0.05480

9.

A solid of revolution is to be formed by rotating the shaded area shown between the graphs of $y=x^2$ and $y=5-4x^2$ about the y-axis.

Which integral would give the volume of the solid of revolution?

a)

$v=\pi\int_0^1\left[\left(5-4x^2\right)^2-x^4\right]dx$

b)

$V=\pi\int_0^5\left(\frac{5}{4}-\frac{5}{4}y\right)\ dy$

c)

$V=\pi\left(\int_0^1x^4dx+\int_1^5\left(5-4x^2\right)dx\right)$

d)

$V=\pi\left(\int_0^1ydy+\frac{1}{4}\int_1^5\left(5-y\right)dy\right)$

10.

The variable y is a function of x as given by $y=2x^2-x+1.$ The variable x is a function of t, for $t\ge0.$

$x\left(t\right)$ is initially 0 and decreases at a constant rate with respect to t.

Which of the following is true about the rate of change of y with respect to t?

a)

It is increasing linearly

b)

It is decreasing linearly

c)

It is decreasing at an increasing rate

d)

It is constant

X1 10MC (BB20)

Total questions: 10

Worksheet time: 20mins

Similar Resources on Wayground