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# Tricky A level maths questions?

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1. Please explain how I'm supposed to get a correct answer for these questions with working out, thank you.
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2. For 2.) Consider as the square of any real number is greater than or equal to 0.

For 1.) and 2.) Just start from and see if it holds true, remember when multiplying by a negative number, you have to switch the inequality sign.
3. (Original post by Jas1947)
Please explain how I'm supposed to get a correct answer for these questions with working out, thank you.
For the first one; (1) remember that when you multiply inequalities by -1 on both sides, the sign flips. (2) Move the 2ab on the opposite side and you can factorise all of it into and think about what happens given a's relationship to b. (3) I'm sure you can spot what you can do to both sides there.

For the second one; use triangles or the unit circle to work out the values of and (then raise this value to the 10th power). I'm sure you can work out what log(100) is. E will obviously be something less than 1 raised to the 10th power so it goes down even more. This leaves D where you can approximate what power goes onto the 2 in order to get 10, doesn't have to be exact. Once you have all these the largest one should be obvious.

Nothing tricky here.
4. (Original post by RDKGames)
For the first one; (1) remember that when you multiply inequalities by -1 on both sides, the sign flips. (2) Move the 2ab on the opposite side and you can factorise all of it into and think about what happens given a's relationship to b. (3) I'm sure you can spot what you can do to both sides there.

For the second one; use triangles or the unit circle to work out the values of and (then raise this value to the 10th power). I'm sure you can work out what log(100) is. E will obviously be something less than 1 raised to the 10th power so it goes down even more. This leaves D where you can approximate what power goes onto the 2 in order to get 10, doesn't have to be exact. Once you have all these the largest one should be obvious.

Nothing tricky here.
For the first question , the last equation with c, if i divide bith sides by c then wouldnt I just get a≥b again?
5. (Original post by Jas1947)
For the first question , the last equation with c, if i divide bith sides by c then wouldnt I just get a≥b again?
Yep
6. (Original post by RDKGames)
Yep
So 1,2 and 3 must all be true?
7. (Original post by Jas1947)
So 1,2 and 3 must all be true?
By the looks of it. Have a bit more confidence, man, you already established which ones are true.
8. (Original post by RDKGames)
By the looks of it. Have a bit more confidence, man, you already established which ones are true.
I thought so but the answer says E which confuses me because I thought it should be H instead..
9. (Original post by Jas1947)
I thought so but the answer says E which confuses me because I thought it should be H instead..
If c was negative then that statement would be false, but if it's positive then it's correct. They should realistically define c as being either positive or negative.

Edit: I misinterpreted the question (DAMN YOU 2AM), it says for any real number so c can be either negative or positive for the statement to hold true. Since it's only true for ONE of these cases rather than both, it is technically incorrect.
10. C can also be negative, which is why it's E not H

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11. Thank you
12. Q2) Just work them out, what is etc. (think of the graphs). You should know the standard trig answers e.g. or also you should know how to workout logs as well, e.g. the standard approach I use is that the base, in the examples' case 10, what power of 10 gives me the inside of the bracket? well 10^2 = 100 so
13. For Q2: Well, what are your thoughts? What have you tried? C'mon, show some effort.

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