Question 6 -6-[+13)= A-7 87 cts'(i)g Question 7 5 x -4= A -1 B 1. Question 8. 1n.1_ -LL7L- A 11 Bt c-20 D 20. QuestioX9 (-+), =

(1)

HillSide

Christian

College

Part

1:

Short

answer: [1

mark

each

Question

1

-2+3=

A-s Bs {A

D-1

Question 6

-6-[+13)=

A-7 87

cts'(i)g

Question

2

2+(-3)=

A-

Bs c1

/6--r

Question

7

5 x

-4=

A

-1

B

1 czo

6)zo

Question

3 \--l

-2 + (-3) =

6)s Bs c1

D-1

Question

8 1n.1_ -LL7L-A

11 Bt

c-20

D 20

{uestion

4

-2

_-

(-3)=

A-s Bs fA

D-1

QuestioX9

(-+),

₌

A-16

6u

cB

D-8

Question

5 -6 + (+2) =

A8

B-8

c4(fr+

Questioia0

'42

₌

-A)-16

_{816 CB}

_D-B

(2)

HillSide

Christian

College

rt?:

Short answer

fmust

include

workin

Question

LL(6

marks)

Use

words

from the

list

below to complete the

following

sentences.

base

evaluate

expotnent

integers

index

negative

positive

power [a) In the expression 3s, the 3 is known as

the

bt?-

and the 5 is called

*e

inoleY

or

4v

pone*t6r po

)@f,

.

_t

Ol

r.rilu".r

on

tn"Ea"

orthe

number line from zero are

nzgah{?

[c)Inthenumbersystem,positiveornegativewhole",*u".',.-.,rr.aja,(gie-,:5.

Question

tZ

(3 marks)

Arrange the

following

numbers in descending order.

7 ,

-2,0,

-5, 1, 0.5

7,

1.,

o'9,

o,

-zr

*5

Question

t3

(2 marks)

Evaluate: (a) -1 + _G3)

_-

(-2)

(b)

-2L

_-

(-t2)

+

_[-1L)

-l

-3+z

-L\

+\z-"(

t

=-z

=

*LO

Question

L4 (2

marks)

, Find the

following

products.

[a)-Bx2

*lc

(b) -32 x -2L

L1L

Question

15 (3

marks)

Simpliff

the

following

leaving

your

answers in index form.

(a) 22

x22

(b)

Lz

xLz

(c) b2 + b2

xb2

/?t*

_t-lb

l+

tL

(3)

u

HillSide

Christian

College

QuestionU-6

(3 marks)

Evaluate the

following.

(a) -(-z1t

L

(b) -1-z1z

-+

(c) -(-21:

8 Question

17

(2 marks)

Simpliff

the

following

leaving

your

answers in index form.

crt

(+')-.z

q

(b)

(413

+6

Question 18

(4

marks)

Simplify the

following

leaving

your

answers in index form. (aX/6)3 x Vz)z

^

t8++

f

_.lL

--f

-(b)

(.q3)B + (96)3

L*'t8

3 b

-*3

'Question

₁₉

_{(3 marks)}

Evaluate the

following.

(a) 30 t

(b) leso

g

(c) Bo + 720

L

Question 20 (4 marks)

Evaluate the

following.

(a)(7

_-2412-3"J2se

zAq-\r

11

**

_{2_38}

(b) -15 + 19 x -4

_-

(-18)2

l*l

-l

5--/L-jLq

L(l

s

(4)

HillSide

Christian

College

rJ

Questionl&1

(l

marks)

A company made a

profit

for

two

years of $4 681 200. Express the amount that the company gained each month shown as a directed number

I

-

L+

--

$ (lsoso

Question 22

(2

marks)

A sports store is selling off last years hockey sticks. To clear this stock they are selling below 'cost

price'

_{fthe price that the store bought them}

for).

Mazon Hockey sticks were bought

for

$97 and sold

for

$65 in the sale.

Find the loss made when 15 Mazon Hockey sticks were sold in the sale.

(S

r

(qt-ts)

=

_$

+ro

loss

Question 23

(4

marks)

The

minimum

temperatures recorded at Mt Hotham one week were:

(a) Which day had the lowest temperature?

[b) Which day recorded the highest

temperature?

Yl"

*

A

a-3

[c) Between

which two

days did the biggest change in temperature occur and what was it? o Temperature change:

'k

Two days:

Day Mondav Tuesdav Wednesdav Thursday Fridav Saturday Sundav

Temperature 2" -4" _-5-o ₁₀ _-7" ₀₀ _-L"

Question 24

(4

marks)

A six-sided die has the letters A, B, C, D, E and F on each face. A is

worth

2 points, B is

worth

-7

points, C is 5 points, D is -11 points, E is B points and F is -18 points. Find the scores for the

following

rolls.

(a) A, A, 8,.8, E, E, E,

F

(b) C, C, D, D, D, D, A, A

ex2-+Lf(n)+Z*z+(-ts)

5 +

*r(-tr)+LvL

=

+-

tLk

+'l-*-t

8 ₌

_lC)

-

4Lk

+

Lf

(5)

;te

Hilside

christian

coltege

*,jJ

Art

3:

Extended answer

Question 25 (4 marks)

Two submarines take

part in

some maneuvers off the east coast of Australia. The

first

submarine starts at sea level, dives

to

30 m below the surface, then moves 12 m towards the surface and

finally

dives another 17 m.

(a)

Write

the

journey

of

this

submarine in terms of directed numbers.

t

tz

,lrtZ

c+

'30

-)

*18

+

_-js

(b) \tVhat is the

final position

of the

first

submarine?

3s

r^etre-s

b

n6'^l

The second submarine starts 18 m below the surface, then dives a

further

7 m and

finally

moves 12 m back towards the surface.

(c) What is the final

position

of the second submarine?

-tB Jrl

+

-zs

t,z 4

-13

13 v

beb*l

(d)

Describe the

position

of the second submarine, relative to the

first.

Z?m

a^!oVe-

-fr'rs&

(6)

HillSide

Christian

College

Question!86 (6 marks)

f essie likes to

think

about directed numbers in terms of a bank account and its balance. Any

transaction that increases the balance is positive,

while

a transaction

that

decreases the account is negative. She pays money

into

the account (positiveJ, makes cash

withdrawals

(negative), makes purchases (negative) and has unauthorised purchases refunded (positive).

For example, one day she paid in three lots of $13.

So her bank account balance increased by 3 x +$13 = +$39'

0n another day, she made

four

cash

withdrawals

of $18 each, This decreased the balance by 3 x -$18 _{= -$54.}

Write

the mathematical statements and answers for these

two

situations.

tal

|essie made

two

purchases of $20 each and receives three refunds of $12 each

for

unauthorised purchases.

2-x

(-2P)

+

3>{

tz

=

-qo+36

=-+q

(b)

|essie pays

in

$21 to his account on each of three occasions and makes

two

cash

withdrawals

of $15 each.

3x

2-\

-LrtS

(c) Combining results of (a) and (b), what is Jessie's total?