Free Printable Year 9 FBF T3 W6

1.

Simplify fully: √32 + 5√32

a)

6√32

b)

24√8

c)

24√2

d)

6√8

2.

Write the following entirely as a surd: 2√5

a)

√20

b)

√10

c)

√50

d)

√100

3.

Simplify $\sqrt[]{8}$

a)

$2\sqrt[]{2}$

b)

$4\sqrt[]{2}$

c)

$\sqrt[]{8}$

d)

$2\sqrt[]{4}$

4.

Simplify: √6 x √6

a)

√36

b)

2√3

c)

12

d)

6

5.

Find the length of the red line AD...

Round your answer to 1 decimal place

a)

5.8 cm

b)

5.9 cm

c)

4.0 cm

d)

4.1 cm

6.

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

a)

1/6

b)

2/6

c)

5/6

d)

3

7.

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?

a)

$114.66

b)

$118.07

c)

$576.47

d)

$115.00

8.

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

a)

x=2

b)

x=9.33333

c)

x=0.2

d)

x=6

9.

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

a)

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

b)

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

c)

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

10.

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.

a)

$540

b)

$54,000

c)

$58,000

d)

$4540

11.

0.00086 written in scientific notation is:

a)

$86\times10^{-5\ }$

b)

$8.6\times10^4$

c)

$86\times10^5$

d)

$8.6\times10^{-4}$

12.

Factorise $121𝑎^2−81b^2$

a)

$(11𝑎−9𝑏)^2$

b)

$(11𝑎+9𝑏)^2$

c)

$(9𝑎−11𝑏)(9𝑎+11𝑏)$

d)

$(11𝑎+9b)(11𝑎−9𝑏)$

13.

Which of the triangles are right angled?

a)

Both triangles are right angled.

b)

Only triangle 𝑋 is right angled

c)

Neither triangle is right angled

d)

Only triangle 𝑌 is right angled.

14.

Which is the graph of the line 𝑦 = −3𝑥 − 6?

a)

b)

c)

d)

15.

Write without fractional indices

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

a)

$\sqrt[]{3}$

b)

$\sqrt[4]{3}$

c)

$\sqrt[3]{4}$

d)

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

16.

Factorise fully $m^2+m-12$

4 lines

17.

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?

a)

15/60

b)

1/4

c)

15/63

18.

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?

a)

$452.80

b)

$1301.80

c)

$902.80

d)

$662.80

19.

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?

a)

$106 191.20

b)

$100 642.40

c)

$100 642.40

d)

$103 471.20

20.

What is the volume of the prism shown?

a)

$18cm^3$

b)

$1800cm^3$

c)

$180cm^3$

d)

$18000cm^3$

Year 9 FBF T3 W6

Total questions: 20

Worksheet time: 12mins

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