Free Printable IB Math A&A Review

1.

Evaluate $\log_2\left(32\right)$

2.

Evaluate $\log_5\left(\frac{1}{125}\right)$

3.

Evaluate $\log_{36}\left(6\right)$

4.

Evaluate $\ln\left(1\right)$

5.

Solve: $\log_3\left(x-4\right)+6=8$

6.

Evaluate: $100^{\frac{1}{2}}$

7.

Evaluate: $8^{\frac{4}{3}}$

8.

Evaluate $1000^{-\frac{1}{3}}$

9.

Evaluate: $\sin\left(\frac{5\pi}{6}\right)$

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

$\frac{\sqrt[]{3}}{2}$

d)

$-\frac{\sqrt[]{3}}{2}$

e)

$\frac{\sqrt[]{2}}{2}$

10.

Evaluate: $\cos\left(-\frac{\pi}{4}\right)$

a)

$-\frac{1}{2}$

b)

$\frac{\sqrt[]{3}}{2}$

c)

$-\frac{\sqrt[]{3}}{2}$

d)

$\frac{\sqrt[]{2}}{2}$

e)

$-\frac{\sqrt[]{2}}{2}$

11.

Evaluate: $\cos\left(\frac{\pi}{2}\right)$

a)

undefined

b)

-1

c)

1

d)

0

12.

Evaluate: $\sin\left(\frac{4\pi}{3}\right)$

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

$\frac{\sqrt[]{3}}{2}$

d)

$-\frac{\sqrt[]{3}}{2}$

e)

$\frac{\sqrt[]{2}}{2}$

13.

Evaluate: $\sin\left(\frac{3\pi}{2}\right)$

a)

undefined

b)

-1

c)

1

d)

0

14.

Suppose you roll a 12-sided die once. What is the probability of not getting a multiple of 4?

15.

Suppose there are 6 blue tickets numbered 1 through 6 and 7 red tickets numbered 1 through 7. You pick a ticket at random. What is the probability that it is blue and even?

16.

Suppose there are 6 blue tickets numbered 1 through 6 and 7 red tickets numbered 1 through 7. You pick a ticket at random. What is the probability that it is red or odd?

17.

49 students are at an end of the year banquet that serves ice cream. Let V represent choosing vanilla. Let C represent choosing chocolate.

Find $P\left(C\ or\ \ V\right)$

18.

49 students are at an end of the year banquet that serves ice cream. Let V represent choosing vanilla. Let C represent choosing chocolate.

Find $P\left(V\ and\ \ C'\right)$

19.

49 students are at an end of the year banquet that serves ice cream. Let V represent choosing vanilla. Let C represent choosing chocolate.

Find $P\left(V\ or\ \ C'\right)$

IB Math A&A Review

Total questions: 19

Worksheet time: 2hrs 35mins

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