Miscellaneous

Question 1

What’s the best way to add one to a fraction?

Answer 1

Keep the denominator the same then add the denominator to the numerator.

Question 2

What is the distance formula?

Answer 2

Between 2 coordinates
(x1,y1) (x2,y2)
Distance is:

Square root of (x2-x1)^2+(y2-y1)^2

Question 3

What number do you get if you square a square root or a surd?

Answer 3

The number under the ‘root’ sign.

Question 4

How many different ways of factorising are there and what are they?

Answer 4

3:
•Highest common factor
•Trinomial
•Difference of two squares

Question 5

Why do we factorise?

Answer 5

We factorise do that we can solve equations which =0

Question 6

What are the rules for multiplying/dividing/raising a power to a power in indices?

Answer 6

(1) When multiplying a^m x a^n = a^m+n

(2) Dividing a^m/a^n = a^m-n

(3) Raising (a^m)^n = a^mn

Question 7

What are negative powers?

Answer 7

Negative powers are reciprocals

(i.e. x^-2 = 1/x^2)

Question 8

Express a fractional power in written maths.

(i.e. x^p/r)

Answer 8

r(square root)x^p

Question 9

What is any number to the power 1

Answer 9

Itself.

Question 10

What is any number to the power 0

Answer 10

1

Question 11

What’s the best way to subtract one from a fraction?

Answer 11

Keep the denominators the same then subtract the denominator from the numerator.

Question 12

What are the three most likely domain restriction of functions at higher level?

Answer 12

•Divide by 0

•Squares (always +ve)
Square roots (not for -ve)

•cos/sin range -1<1