Quiz about Review Yearly Exam

Question 1

Write in expanded form:

$$a^5$$

Hint: see example 1 on page 335

Accepted Answer

a x a x a x a x a

Answer

5 x a

Answer

a x a x a x a

Answer

5 x 5 x 5 x 5 x 5

Question 2

Write as a basic numeral (evaluate):

$$3^2$$

Hint: see example 2 on page 335

Accepted Answer

9

Answer

3 x 3

Answer

2 x 2 x 2

Answer

6

Question 3

Simplify using indices:

$$5 imes5 imes5 imes2 imes2 imes2 imes2$$

Hint: see example 4 on page 336

Accepted Answer

$$5^3 imes2^4$$

Answer

$$5^2 imes3^2$$

Answer

$$52^7$$

Answer

2000

Question 4

Simplify using indices:

$$3a^2 imes4a^3b^2$$

Hint: see example 5 on page 337

Accepted Answer

$$12a^5b^2$$

Answer

$$7a^5b^2$$

Answer

$$12a^6b^2$$

Answer

$$12ab^7$$

Question 5

Simplify using indices:

$$7^2 imes7^6$$

Hint: see example 8 on page 342

Accepted Answer

$$7^8$$

Answer

$$7^6$$

Answer

$$7^{12}$$

Answer

$$7^9$$

Question 6

Simplify using indices:

$$7^2 imes7$$

Hint: see example 8 on page 342

Accepted Answer

$$7^3$$

Answer

$$7^2$$

Answer

$$49^2$$

Answer

343

Question 7

Write the following as a basic numeral (evaluate):

$$7 imes7^2$$

Hint: see 'key ideas' on page 333

Accepted Answer

343

Answer

$$7^3$$

Answer

$$7^2$$

Answer

$$49^2$$

Question 8

Simplify using indices:

$$5^8\div5^4$$

Hint: see example 8 on page 342

Accepted Answer

$$5^4$$

Answer

$$5^2$$

Answer

$$5^{12}$$

Answer

625

Question 9

Simplify the following using indices:

$$12y^8\div3y^2$$

Hint: see example 11 on page 343

Accepted Answer

$$4y^6$$

Answer

$$4y^4$$

Answer

$$9y^6$$

Answer

$$\frac{12y^6}{3}$$

Question 10

Simplify the following using indices:

$$\frac{20a^2b^3}{30ab^2}$$

Hint: see example 11 on page 343

Accepted Answer

$$\frac{2ab}{3}$$

Answer

$$1.5ab$$

Answer

$$\frac{10ab}{15}$$

Answer

$$\frac{2a^{ }}{3}$$

Question 11

Simplify the following using indices:

$$\left(x^5\right)^2$$

Hint: see example 13 on page 347

Accepted Answer

$$x^{10}$$

Answer

$$x^7$$

Answer

$$x imes x imes x imes x imes x imes x imes x$$

Answer

$$x^3$$

Question 12

Simplify the following using indices:

$$\left(5x^3\right)^2$$

Hint: see example 18 on page 353

Accepted Answer

$$25x^6$$

Answer

$$5x^6$$

Answer

$$10x^6$$

Answer

$$25x^5$$

Question 13

Evaluate the following:

$$6^0$$

Hint: see example 14 on page 348

Accepted Answer

1

Answer

6

Answer

0

Answer

60

Question 14

Evaluate the following:

$$6a^0$$

Hint: see example 14 on page 348

Accepted Answer

6

Answer

1

Answer

0

Answer

60

Question 15

Evaluate the following:

$$\left(6a\right)^0+2a^0$$

Hint: see example 14 on page 348

Accepted Answer

3

Answer

2

Answer

1

Answer

4

Question 16

Evaluate the following:

$$\frac{a^6 imes a^4}{a^{12}\div a^2}$$

Hint: see example 16 on page 349

Accepted Answer

1

Answer

$$\frac{a^{10}}{a^{10}}$$

Answer

2

Answer

4

Question 17

Simplify the following using a positive index:

$$7^{-2}$$

Hint: see example 23 on page 358

Accepted Answer

$$\frac{1}{7^2}$$

Answer

$$\frac{1}{7^{-2}}$$

Answer

$$\frac{1}{49}$$

Answer

$$7^2$$

Question 18

Simplify the following using a positive index:

$$3 imes7^{-2}$$

Hint: see example 26 on page 360

Accepted Answer

$$\frac{3}{7^2}$$

Answer

$$\frac{3}{7^{-2}}$$

Answer

$$\frac{3}{49}$$

Answer

$$3 imes7^2$$

Question 19

Write the following number using scientific notation

$$3000$$

Hint: see example 28 on page 363

Accepted Answer

$$3 imes10^3$$

Answer

$$3 imes10^2$$

Answer

$$30 imes10^2$$

Answer

$$0.3 imes10^4$$

Question 20

Write the following number using scientific notation

$$0.0096$$

Hint: see example 29 on page 364

Accepted Answer

$$9.6 imes10^{-3}$$

Answer

$$9.6 imes10^4$$

Answer

$$96 imes10^{-4}$$

Answer

$$9.6 imes10^3$$

Question 21

Write the following number as a basic numeral:

$$4.6 imes10^4$$

Hint: see example 30 on page 364

Accepted Answer

46000

Answer

0.00046

Answer

4600

Answer

460000

Question 22

Write the following number as a basic numeral:

$$7.9 imes10^{-5}$$

Hint: see example 31 on page 364

Accepted Answer

0.000079

Answer

790000

Answer

79000

Answer

0.00079

Question 23

How many significant figures in the number:

$$407$$

Hint: see example 32 on page 368

Accepted Answer

3

Answer

2

Answer

4

Answer

1

Question 24

How many significant figures in the number:

$$0.01$$

Hint: see example 32 on page 368

Accepted Answer

1

Answer

2

Answer

3

Answer

4

Question 25

Round the following to 2 significant figures

$$2340$$

Remember that the number needs to stay roughly the same as it was.

Accepted Answer

24

Answer

2300

Answer

2400

Answer

23

Question 26

Round the following to 2 significant figures

$$0.07893$$

Remember that the number needs to stay roughly the same as it was.

Accepted Answer

0.079

Answer

0.078

Answer

0.07900

Answer

0.08

Question 27

Round the following to 2 significant figures

$$0.07893$$

Remember that the number needs to stay roughly the same as it was.

Accepted Answer

0.079

Answer

0.078

Answer

0.07900

Answer

0.08

Question 28

Is the data skewed or symmetrical?

Hint: Read example 15 on page 517.

Accepted Answer

negative skew

Answer

Positive skew

Answer

symmetrical

Answer

bi modal

Question 29

How many students scored a result of 10 in their spelling test?

Hint: Read example 15 on page 517.

Accepted Answer

4

Answer

5

Answer

6

Answer

3

Question 30

What is the mode for the data shown?

Hint: Read example 15 on page 517.

Accepted Answer

9 and 10

Answer

9

Answer

10

Answer

8

Question 31

The tree diagram shows the outcomes possible when 2 coins are thrown.

What is the probability of getting 2 heads?

Hint: Read example 9 on page 502.

Accepted Answer

$$\frac{1}{4}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{3}{4}$$

Answer

$$\frac{2}{4}$$

Question 32

The tree diagram shows the outcomes possible when 2 coins are thrown.

What is the probability of getting a heads and a tails in any order?

Hint: Read example 9 on page 502.

Accepted Answer

$$\frac{1}{2}$$

Accepted Answer

$$\frac{2}{4}$$

Answer

$$\frac{1}{4}$$

Answer

$$\frac{3}{4}$$

Question 33

Which statement is correct or the shaded area in the Venn diagram?

Accepted Answer

B only

Answer

B

Answer

A and B

Answer

A only

Question 34

Which statement is correct or the shaded area in the Venn diagram?

Accepted Answer

Neither A nor B

Answer

A or B

Answer

A and B

Answer

not B

Question 35

Which statement is correct for the Venn diagram?

Hint: Read example 5 on pg 488.

Accepted Answer

7 people like football and soccer

Answer

14 people like football

Answer

5 people like soccer

Answer

7 people like football or soccer

Question 36

How many people like soccer only?

Hint: Read example 5 on pg 488.

Accepted Answer

5

Answer

12

Answer

13

Answer

9

Question 37

How many people like soccer?

Hint: Read example 5 on pg 488.

Accepted Answer

12

Answer

5

Answer

13

Answer

9

Question 38

How many people do not like soccer?

Hint: Read example 5 on pg 488.

Accepted Answer

18

Answer

4

Answer

14

Answer

25

Question 39

How many people like soccer or football?

Hint: Read example 5 on pg 488.

Accepted Answer

26

Answer

4

Answer

14

Answer

18

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