SC mathematics Marathon (4 Viewers)

[lath]

Why wouldn't this style of questions come up?

I don't think quadratic inequations are even part of yr 10.

 

[knxd]

I don't think quadratic inequations are even part of yr 10.

Mate, I got this straight out of BOS online multiple choice section..

 

[RealiseNothing]

I don't think quadratic inequations are even part of yr 10.

They might be 5.3, not sure though.

 

[RealiseNothing]

Mate, I got this straight out of BOS online multiple choice section..

He's talking about the question I gave about inequalities. There's definately a good chance a similar question to the one you posted will come up.

 

[knxd]

He's talking about the question I gave about inequalities. There's definately a good chance a similar question to the one you posted will come up.

What are relative frequencies? And how do you work them out? thanks!

 

[hungwell1337]

..+explanation..
lol

5 hours. Nobody said the clock was correct when the electricity was turned off.

 

[hungwell1337]

also because god told me it was 5 hrs in a dream

 

[RivalryofTroll]

What are relative frequencies? And how do you work them out? thanks!

Relative Frequency = Frequency of ONE score (or as specificed by the question)/ Total Frequency of all scores
EXAMPLE:
1 1 1 1 2 2 4 5 6 6 6
Relative Frequency of 1 = 4/11

 

[zombies]

Just plug in a number between -4 and -1, if it suits the equation, then it is -4 < x < -1

If it doesn't suit the equation it has to be x < -4 and x > -1

So say x=-2, then -2^2 - 10 + 4 > 0

Which says 4-10+4 > 0, then -2 > 0

So it's false and x must be less than -4 but also can be greater than -1.

Ah thankyou! Yeah.. never had to do that sort of question before.

 

[dionb2014]

If a and b are consecutive even integers that multiply to give 224. Write an equation to solve the values of a and b

 

[lath]

If a and b are consecutive even integers that multiply to give 224. Write an equation to solve the values of a and b

let a = y
therefore b = y + 2
therefore y(y+2) = 224 (solve quadratic to find value of y)

answer is a=14, b =16.

 

[dionb2014]

Will there be any sketching of lines, parabolas, hyperbolas, cubics or circles on Tuesday ?

 

[RealiseNothing]

Will there be any sketching of lines, parabolas, hyperbolas, cubics or circles on Tuesday ?

lol no chance, at most you'd be asked to sketch y=x or something. Even then I doubt they'd ask you to sketch a graph of some sort.

 

[RealiseNothing]

If a and b are consecutive even integers that multiply to give 224. Write an equation to solve the values of a and b

By inspection, 15^2=225

Therefore a and b must be 14 and 16 (since 15^2=14*16+1)

 

[dionb2014]

So what was the equation you would write?

 

[RealiseNothing]

So what was the equation you would write?

(a+b)/2 = square root of 225

(a+b)/2 = 15

a+b = 30

Since b=a+2, 2a+2=30 and thus 2a=28 and a =14

b therefore has to equal 16.

 

[RealiseNothing]

If a, b, and c are different positive integers, what is a possible value for c when (ab)^2=abc

a) 1
b) 5
c) 9
d) 12



Working out as well

 

[dionb2014]

Interesting method, I went down the same Path as lath for this one although it seems your method is also correct. Well done.

 

[dionb2014]

Abc=(ab)^2
(ab)(ab)=abc
:. C=ab
:.C=9 because it has to be a squared number as the result.

 

[RealiseNothing]

Abc=(ab)^2
(ab)(ab)=abc
:. C=ab
:.C=9 because it has to be a squared number as the result.

Everything is right except the last step. "because it has to be a squared number as a result", re-read the question and you should realise why it's wrong.