Notes

Question 1

Graphs

Answer 1

Displacement-time graph’s gradient/tangent = velocity at that point. Area under= displacement

Speed-time graph’s gradient = acceleration. Area under the curve=distance

Velocity-time graph’s gradient= acceleration. Area under: displacement

*recall for displacement, there’s a positive and negative

Question 2

Cylinder

Answer 2

volume - πr^2 x h
surface area - 2πrh+2πr^2

Question 3

Sphere

Answer 3

volume - 4/3 x πr^3
surface area - 4πr^2

Question 4

Rational number

Answer 4

any real number that can be written as a fraction where both top and bottom are integers and denominator is not 0. e.g any integer, -0.75, 0.333, 0/3, 0.439

Question 5

irrational number

Answer 5

any real number that is not a rational number (cannot be expressed as the ratio of 2 integers) e.g
pi, surd 10, 0.0487293…

Question 6

real number

Answer 6

rational numbers, integers, irrational numbers, whole numbers, natural numbers. doesnt have an imaginary part

Question 7

integers

Answer 7

whole number, can be positive, negative or zero

Question 8

natural numbers

Answer 8

positive whole numbers, 0 is excluded
1, 2,3… to infinity

Question 9

constant

Answer 9

a fixed defined number
e.g 2,0,-3, 2/7, 3.68…

Question 10

equations

Answer 10

acceleration = VAT - change in velocity over change in time