UCAT QR Formulaes

formula: speed distance time

speed = distance / time

area of triangle

½ b x h

area of a parallelogram

b x h

area of right angled triangle

½ x b x h

area of trapezium

½ (total length of bothh parallel sides so a + b) x height

volume of cylinder

pi squared x height

volume of sphere

4/3 x pi cubed

circumference of a circle

2 x pi x radius

area of.a circle

pi x r squared

diameter, radius

full length, half lenth

acceleration formula

accerlation = change in velocity / time

1 tone = kg = g

1000 = 100,000

surface area of cubes and cuboids

cubes = 6a (squared)

cuboids = l x w
w x h
l x h

surface area of a sphere

4 x pi x r (squared)

surface area of a cone

pi x r(squared) + pi x radius x length

if youre missing the length when trying to work out the surface area of a cone…

use the height and base and draw a triangle.

then do pythagoras theorm

surface area of a clyinder

2 x pi x radius (squared) + 2 x pi x radius x h

pythagora theorm

a squared + b squared = c squared

when do you use pythagoras theorm

1) perimeter of a triangle and sides are missing

2) area of a squared when theres a diagonal triangle

3) calculate diagnoal of square

types of triangles

equal = all sides and angles same

isoceles = two sides same (pythaogras)

scalene = no sides same

right angle = right angle *pythaogras

1 mile = ? km

1.609

formulae: percentage change

difference / original x 100

how to approach tax brackets

divide money into the brackets it is taxed

e.g: 28,950

895 - in bottom tier 10%

20,000 - 15%

then add the amounts of tax = 895 + 3000 = 3895

what does the triangle need to have to do pythaogras theorm

right angle

2 sides known

missing length

formula: finding orginial value in percentage change

original = final / 1 + or - percentage increase or decrease

formula: difference in original and final value in percentage change

original - final

mode: define bimodal and multimodal

bimodal - 2 values appear same amount of times

multimodal - multiple values appear same amount of times

formula: 1 ml = ? cm3

1

formula: 1 L = ? m3 and CM3

1000 cm3 or 1M3

formula: clock hours to actual hours

• dont look at hours

• minutes / 60 + hours

formula: actual hours → clock hours

set aside hours

decimals x 60 + hours

formula: degrees to kelvin

0 degrees = 273 k

difference in cents symbol

c with line = american, c = austrialian

formula for: + or - vat

100% x 1.2
100% x 0.67