Perimeter, area and volume
Where a and b are the lengths of the parallel sides
and h is their perpendicular separation:
Area of a trapezium =
1
2
(a + b) h
Volume of a prism = area of cross section \u00d7 length
Where r is the radius and d is the diameter:
Circumference of a circle = 2\u03c0r = \u03c0d
Area of a circle = \u03c0r 2
Quadratic formula
The solution of ax2 + bx + c = 0
where a \u2260 0
x = \u2013 \u2013 b b ac
a
\u00b1 2 4
2
Pythagoras\u2019 Theorem and Trigonometry
In any right-angled triangle where a, b and c are
the length of the sides and c is the hypotenuse:
a2 + b2 = c2
In any right-angled triangle ABC where a, b and c
are the length of the sides and c is the
hypotenuse:
sin A =
a
c cos A =
b
c tan A =
a
b
In any triangle ABC where a, b and c are the
length of the sides:
sine rule: = =
abc
sin sin sin ABC
cosine rule: a2 = b2 + c2 \u2013 2bc cos A
Area of triangle =
1
2
ab sin C
Compound Interest
Where P is the principal amount, r is the interest
rate over a given period and n is number of times
that the interest is compounded:
Total accrued = P +
n \uf8eb \uf8f6 r \uf8ec \uf8f7 \uf8ed \uf8f8 1
100
Probability
Where P (A) is the probability of outcome A and
P (B) is the probability of outcome B:
P(A or B) = P(A) + P(B) \u2013 P(A and B)
P(A and B) = P(A given B) P(B<\/p>\n","protected":false},"excerpt":{"rendered":"
Perimeter, area and volumeWhere a and b are the lengths of the parallel sidesand h is their perpendicular separation:Area of a trapezium =12(a + b) hVolume of a prism = area of cross section \u00d7 lengthWhere r is the radius and d is the diameter:Circumference of a circle = 2\u03c0r = \u03c0dArea of a circle […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[],"tags":[],"class_list":["post-111954","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/111954","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=111954"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/111954\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=111954"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=111954"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=111954"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}