VCE Further Maths Exam 1 Discussion and Solutions

[Finlayh]

At the top it says  "The interest rate for this investment remains constant, but the payment may vary" - so on the 20th payment to reach the $7500, the payment was higher while the interest rate stayed the same......

Oh, thankyou! I can't believe i didn't see that!

[xavosh]

Question 7 (Geometry) is really confusing. Can someone actually show working out to why the answer is E.

nah man says in the q that the payment can change i think. so find interest, add to total 19 and take from 7500 to get your payment

[som0007]

Geo and measurement
1.D
2.D
3.B
4.A*** (i thought radius was 10)
5.C
6.C
7.C
8.A

[dec.hargreaves]

Just a few questions concerning the solutions here-

Why is Core question 2 B, I thought the whole point of upper and lower fencing was to modify the boxplot and the 5-point summary, so why wouldn't the answer be C?

Also, why is Core question 6 E?

And for networks for question 7, how is C a correct statement? Like why is the answer D?

C is correct because if there are 8 edges then there could definitely be and isolated vertex. Bipartite graphs are what you use when allocations need to be made. hope this helps

[ScreaMy]

Agree, Question 8 should be A

So far only lost 2 mark tho

[teeeegs1]

can someone please upload the exam questions asap!!

[ojwhop]

I got A for question 8 (geometry and measurement) through calculating the area of the triangle which connects the middle of the circles and calculating the area of each segment in this triangle (hard to explain) then got the area of the shaded region through subtracting both figures.

[willmac2917]

Geo and measurement
1.D
2.D
3.B
4.A*** (i thought radius was 10)
5.C
6.C
7.C
8.A

How’d you get A for Q4. Isn’t it B?

[mtDNA]

I got A for question 8 (geometry and measurement) through calculating the area of the triangle which connects the middle of the circles and calculating the area of each segment in this triangle (hard to explain) then got the area of the shaded region through subtracting both figures.

Yea it’s A, a similar question was in our year 11 spec exam

[isobelj]

My decimals may be imprecise, but to show that it is not C:

Pick point A: (1.1, 7.6)
m=2 and n=5 so
Z = 2 * 1.1 + 5 * 7.6 = ~40.2

Pick point C: (3.8, 4.4)
Z = 2 * 3.8 + 5 * 4.4 = ~29.6

Because Z for point A is higher than for point C, C is not the answer. (Was looking for the minimum value and nothing false was observed)

To show that D is the answer:
Point D: Z = 2*7.8 + 6*12.4 = ~90
Point B: Z = 2*4.4 + 6*15 = ~98.8
So the maximum value when m=2 and n=6 is not at point D because 98.8 > 90. (Looking for the maximum and it is not at point D)
So the answer is D.

Okay, thank you! That makes sense.

[som0007]

How’d you get A for Q4. Isn’t it B?

I thought the radius is 10 LMFAO. i got it wrong.
But what is the answer for question 6 geo. i got C

[akiophy]

nah man says in the q that the payment can change i think. so find interest, add to total 19 and take from 7500 to get your payment

I think you misinterpret my question. I was referring to question 7 in geometry section, not financial maths.

[ScreaMy]

I thought the radius is 10 LMFAO. i got it wrong.
But what is the answer for question 6 geo. i got C

Question 6 is B

[som0007]

Question 6 is B

Can you explain

[willmac2917]

I thought the radius is 10 LMFAO. i got it wrong.
But what is the answer for question 6 geo. i got C

I got B.
Which is done by creating a triangle to the surface of the water with a hypotenuse of 10cm and a verticle length of 8cm. Using Pythagoras we can find the radius of the water by doing 10^2 - 8^2 = 36. Square root 36 giving 6.
Answer is B