Hard mx1 questions (2 Viewers)

[Dylanamali]

HI EVERYBODY!

I'm looking for some difficult maths questions on the first syllabus pt in the Mathematics syllabus - Basic Arithmetic and Algebra.

I'm 'teaching' my class tomorrow and wanted to at least have a few really difficult questions. So they can be on virtually anything algebra related, inequalities, simultaneous equations, surds etc.

Also please provide the solution !

 

[Dylanamali]

eating

 

[maths lover]

you can give them the rationalizing the denominator with the three surds in the denominator.

 

[Dylanamali]

:O, havent come across that.. you got an example somewhere?

 

[taeyang]

give them (2x + 5y + 10t + z + 13q)^17 to expand

 

[big_bang344]

Lol.

 

[ohexploitable]

This is a favourite of mine, it's Year 11 Prelim but still interesting.

Snell's law states that light travels through a homogeneous medium in a straight line at a constant velocity dependent on the medium. Let the velocity of light in air be and the velocity of light in water be . Show that light will travel from a point in air to a point in water in the shortest possible time if , where the light ray makes angles of and in air and water respectively with the normal to the surface.

Good for any Physics students.

 

[RealiseNothing]

Simplify 2^x + 2^(x+1) ... +2^(n-1) + 2^n

 

[ohexploitable]

Simplify 2^x + 2^(x+1) ... +2^(n-1) + 2^n

lol that's a 2U question.

 

[hscishard]

This is a favourite of mine, it's Year 11 Prelim but still interesting.

Snell's law states that light travels through a homogeneous medium in a straight line at a constant velocity dependent on the medium. Let the velocity of light in air be and the velocity of light in water be . Show that light will travel from a point in air to a point in water in the shortest possible time if , where the light ray makes angles of and in air and water respectively with the normal to the surface.

Good for any Physics students.

Haha

 

[AAEldar]

This is a favourite of mine, it's Year 11 Prelim but still interesting.

Snell's law states that light travels through a homogeneous medium in a straight line at a constant velocity dependent on the medium. Let the velocity of light in air be and the velocity of light in water be . Show that light will travel from a point in air to a point in water in the shortest possible time if , where the light ray makes angles of and in air and water respectively with the normal to the surface.

Good for any Physics students.

Fun times were had in that thread.

I don't know if it's too late or not, but here's another:

 

[Pfortune35]

lol that's a 2U question.

solution ?

 

[Pfortune35]

This is a favourite of mine, it's Year 11 Prelim but still interesting.

Snell's law states that light travels through a homogeneous medium in a straight line at a constant velocity dependent on the medium. Let the velocity of light in air be and the velocity of light in water be . Show that light will travel from a point in air to a point in water in the shortest possible time if , where the light ray makes angles of and in air and water respectively with the normal to the surface.

Good for any Physics students.

solution ?

 

[ohexploitable]

solution ?

 

[kaz1]

get an extension question from cambridge, pretty much all of them are impossible

 

[ohexploitable]

solution ?

lol i already answered this question in another thread about a year ago

just draw a diagram

 

[ohexploitable]

get an extension question from cambridge, pretty much all of them are impossible

not really, most of them should be fairly straightforward for any 4u student

or really good 3u student

 

[kaz1]

not really, most of them should be fairly straightforward for any 4u student

or really good 3u student

yeah, but they probably would be the ideal questions the OP would be looking for

 

[RealiseNothing]

lol that's a 2U question.

Fine, I'll give him a 3unit one

Find the co-efficient of x^6 in the expansion (5+2x^2)^7

 

[ohexploitable]

Fun times were had in that thread.

I don't know if it's too late or not, but here's another:

Haha I remember that question, good times.