Quiz about Year 9 FBF T3 W6

Question 1

Simplify $$\sqrt[]{8}$$

Accepted Answer

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

Answer

$$4\sqrt[]{2}$$

Answer

$$\sqrt[]{8}$$

Answer

$$2\sqrt[]{4}$$

Question 2

Find the length of the red line AD...

Round your answer to 1 decimal place

Accepted Answer

5.8 cm

Answer

5.9 cm

Answer

4.0 cm

Answer

4.1 cm

Question 3

Find the probability of NOT rolling a 3 on a single die.

Accepted Answer

5/6

Answer

1/6

Answer

2/6

Answer

3

Question 4

Mara has a certain amount of money in the bank. She takes out 17% and has $98 left. How much did she have in the beginning in the bank?

Accepted Answer

$118.07

Answer

$114.66

Answer

$576.47

Answer

$115.00

Question 5

Solve $$2\left(5x-4\right)=12$$

Accepted Answer

x=2

Answer

x=9.33333

Answer

x=0.2

Answer

x=6

Question 6

Factorise $$\left(7-2x\right)-x\left(7-2x\right)$$

Accepted Answer

$$\left(7-2x\right)\left(1-x\right)$$

Answer

$$\left(7-2x\right)^2-x$$

Answer

$$\left(7-2x\right)^2\left(1-x\right)$$

Question 7

I invest $4000 for 3 years in a simple interest bank account that pays of 4.5% p.a. Calculate the total amount I have after 3 years.

Accepted Answer

$4540

Answer

$540

Answer

$54,000

Answer

$58,000

Question 8

0.00086 written in scientific notation is:

Accepted Answer

$$8.6 imes10^4$$

Answer

$$86 imes10^{-5\ }$$

Answer

$$86 imes10^5$$

Answer

$$8.6 imes10^{-4}$$

Question 9

Factorise $$121𝑎^2−81b^2$$

Accepted Answer

$$(11𝑎+9b)(11𝑎−9𝑏)$$

Answer

$$(11𝑎−9𝑏)^2$$

Answer

$$(11𝑎+9𝑏)^2$$

Answer

$$(9𝑎−11𝑏)(9𝑎+11𝑏)$$

Question 10

Write without fractional indices

$$3^{\frac{1}{4}}$$

Accepted Answer

$$\sqrt[4]{3}$$

Answer

$$\sqrt[]{3}$$

Answer

$$\sqrt[3]{4}$$

Answer

$$\sqrt[\frac{1}{4}]{3}$$

Question 11

A boat hire shop has 15 kayaks, 12 canoes, 10 catamarans and 23 dinghies. Ella chooses a boat at random from the shop. What is the probability that she chooses a kayak?

Accepted Answer

1/4

Answer

15/60

Answer

15/63

Question 12

Imogen is paid a commission of 15% on the first $3000 of her sales and 8% on all sales above $3000. How much would Imogen be paid if her sales amounted to $5660?

Accepted Answer

$662.80

Answer

$452.80

Answer

$1301.80

Answer

$902.80

Question 13

Alicia is a manager whose salary is $106 300. She has deductions from her wage of $96 per fortnight for union fees and $12.80 per fortnight for travel expenses. What is her annual taxable income?

Accepted Answer

$103 471.20

Answer

$106 191.20

Answer

$100 642.40

Answer

$100 642.40

Question 14

What is the volume of the prism shown?

Accepted Answer

$$180cm^3$$

Answer

$$18cm^3$$

Answer

$$1800cm^3$$

Answer

$$18000cm^3$$

Year 9 FBF T3 W6

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