Standard Math Q+A Thread

[morning_sunshine]

Another question that's popped up

A camera costs $449, including 12% GST.
    What is the price of the camera without GST, correct to the nearest dollar?
(A)    $395
(B)    $401
(C)    $437
(D)    $503

PLEASE HELP

[EEEEEEP]

Another question that's popped up

A camera costs $449, including 12% GST.
    What is the price of the camera without GST, correct to the nearest dollar?
(A)    $395
(B)    $401
(C)    $437
(D)    $503

PLEASE HELP

401 is the answer =)

Since there is 12% GST, then it is currently priced at 1.12X

X = price prior to GST...

So... 449/1.12 = 400.89, (round up for the nearest dollar)

[[MA165]]

Another question that's popped up

A camera costs $449, including 12% GST.
    What is the price of the camera without GST, correct to the nearest dollar?
(A)    $395
(B)    $401
(C)    $437
(D)    $503

PLEASE HELP

Hey!
I would answer this by dividing 449 by 112% which gives you 400.89.... rounded up to 401... i would say B?!

[bridbrid2000]

Hey i have a question from the 2016 HSC paper its question number 25 there is a diagram given but i cant figure out whether it has attached so there is a link to the paper bellow aswell.
thanks in advance

25) The diagram shows towns A, B and C. Town B is 40 km due north of town A. The
distance from B to C is 18 km and the bearing of C from A is 025°. It is known that BCA
is obtuse.
What is the bearing of C from B?
(A) 070°
(B) 095°
(C) 110°
(D) 135°

http://educationstandards.nsw.edu.au/wps/wcm/connect/06a68d63-e1aa-4616-b0fe-5144a7a8ed0d/2016-hsc-maths-general-2.pdf?MOD=AJPERES&CACHEID=ROOTWORKSPACE-06a68d63-e1aa-4616-b0fe-5144a7a8ed0d-lCpNxTo

[[MA165]]

Hey i have a question from the 2016 HSC paper its question number 25 there is a diagram given but i cant figure out whether it has attached so there is a link to the paper bellow aswell.
thanks in advance

25) The diagram shows towns A, B and C. Town B is 40 km due north of town A. The
distance from B to C is 18 km and the bearing of C from A is 025°. It is known that BCA
is obtuse.
What is the bearing of C from B?
(A) 070°
(B) 095°
(C) 110°
(D) 135°

http://educationstandards.nsw.edu.au/wps/wcm/connect/06a68d63-e1aa-4616-b0fe-5144a7a8ed0d/2016-hsc-maths-general-2.pdf?MOD=AJPERES&CACHEID=ROOTWORKSPACE-06a68d63-e1aa-4616-b0fe-5144a7a8ed0d-lCpNxTo

Basically you use the sine rule to find out value of the angle opposite the 40km side
so sin X / 40 = sin 25 / 18.... this equal 70 (rounded) but because it identifies that this is an obtuse angle, you have to minus it from 180 (180-70 = 110)
now that you have 2 angles (one already given)... you do (180- 110- 25) = 45 and as you are trying to find the bearing of C from B.... and B to A is a straight line... just do supplementary angles 180-45.... equals 135... therefore D...

[emilybrooks99]

Generally its calculated from a range of data with x and y variables.... which is where the calculator come handy... this is just how i have learnt to do it ... so basically with the x and y data.. enter it into the calculator (on stats mode, select 2: (a+b X)- gives you a table)
and once you have entered in the data press AC then shift 1, then 5 (reg) then 3 (r)... somewhat of a process.... but that should do it...
ATB

thank you!!

[Juliesokha]

Hey i have a question from the 2016 HSC paper its question number 25 there is a diagram given but i cant figure out whether it has attached so there is a link to the paper bellow aswell.
thanks in advance

25) The diagram shows towns A, B and C. Town B is 40 km due north of town A. The
distance from B to C is 18 km and the bearing of C from A is 025°. It is known that BCA
is obtuse.
What is the bearing of C from B?
(A) 070°
(B) 095°
(C) 110°
(D) 135°

hope this helps

[yopenelope]

Hey I just did my General Math HSC exam and i was wondering if the question was 'Calculate the volume of the cone' and it had a sphere on top with the bottom of the sphere entering part of the cone, and in my answer i had the working out for the height to use in the formula for the cone, and the 'Volume of the cone with part of the sphere' and 'Volume of the cone without part of the sphere' beacuse I didn't know what they meant. Would they mark me down for going a step further for stating 'volume of the cone with part of the sphere' or just be able to neglect it and not get marked down?

[PrincePringle]

Hey I just did my General Math HSC exam and i was wondering if the question was 'Calculate the volume of the cone' and it had a sphere on top with the bottom of the sphere entering part of the cone, and in my answer i had the working out for the height to use in the formula for the cone, and the 'Volume of the cone with part of the sphere' and 'Volume of the cone without part of the sphere' beacuse I didn't know what they meant. Would they mark me down for going a step further for stating 'volume of the cone with part of the sphere' or just be able to neglect it and not get marked down?

Unfortunately you may lose a mark or two, but it really depends on the marking criteria they develop. What was your final answer?

[yopenelope]

Unfortunately you may lose a mark or two, but it really depends on the marking criteria they develop. What was your final answer?

I didnt get to finish but the 'v of the cone without part of sphere' working out was on the extra writing space - except I hadn't rounded off the 'v of the cone with part of sphere' (what they were looking for) because i was going to round off at the end

So if it was 3 marks, would I only get 1 mark?

[erhulloollie]

I didnt get to finish but the 'v of the cone without part of sphere' working out was on the extra writing space - except I hadn't rounded off the 'v of the cone with part of sphere' (what they were looking for) because i was going to round off at the end

So if it was 3 marks, would I only get 1 mark?

Hey... i also just sat the general maths exam.... for the last question i just found the volume of the cone regardless of the sphere sitting in a bit... the sphere was just there to help find the dimensions of the cone.... so my final answer was 113 cubic cm...!
Did anyone else get anything similar..??

[erhulloollie]

Hey yopenelope!
How did you find the rest of the paper... and how did you go for time..??

[erhulloollie]

Hi Stephanie Azzopardi,
Just thought i'd let you know, I ordered your ATAR Notes HSC Mathematics General 2 Edition 1, and on page 8 the capacity conversions is wrong..!!
But despite that... a very helpful condensed set of notes... helped a lot!! Thank you!!

[PrincePringle]

Hey... i also just sat the general maths exam.... for the last question i just found the volume of the cone regardless of the sphere sitting in a bit... the sphere was just there to help find the dimensions of the cone.... so my final answer was 113 cubic cm...!
Did anyone else get anything similar..??

Yeah. i got 113 cm^3.

I sense you used pythagoras and used the height of the cone as 9 as I did?

[erhulloollie]

Yeah. i got 113 cm^3.

I sense you used pythagoras and used the height of the cone as 9 as I did?

yep that's it... i asked our maths teacher after the exam and he has seen the paper... and he said that sounded right... so hope for the best..!!