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N5
Maths SQA Past Papers
2021
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N5
Application (Life Skills) Maths SQA Past Papers
HSN Higher
Mathematics booklet 1
download
HSN Higher Mathematics booklet 2 download
HSN Higher Mathematics booklet 3 download
HSN Higher Course Revision Notes download
HSN Higher Mathematics booklet 2 download
HSN Higher Mathematics booklet 3 download
HSN Higher Course Revision Notes download
Higher
Course Summary
(formula list)
Part 1 download
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Higher
Maths SQA Past Papers
Advanced
Higher
Maths SQA Past Papers
AQA Higher Maths Past Papers
2023 download
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AQA Foundation Maths Past Papers
2023 download
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20 Interesting and amazing facts about Maths:
1.
Zero ( 0 ) is the only number which can not be represented by Roman numerals.
2.
What comes after a million, billion and trillion? A quadrillion, quintillion, sextillion, septillion, octillion, nonillion, decillion and undecillion
3.
Plus (+) and Minus (-) sign symbols were used as early as 1489 A.D
4.
2 and 5 are the only primes that end in 2 or 5
5.
An icosagon is a shape with 20 sides
6.
Among all shapes with the same perimeter a circle has the largest area.
7.
Among all shapes with the same area circle has the shortest perimeter
8.
40 when written "forty" is the only number with letters in alphabetical order, while "one" is the only one with letters in reverse order
9.
'FOUR' is the only number in the English language that is spelt with the same number of letters as the number itself
10.
From 0 to 1,000, the letter "A" only appears in 1,000 ("one thousand")
11.
12,345,678,987,654,321 is the product of 111,111,111 x 111,111,111. Notice the sequence of the numbers 1 to 9 and back to 1.
12.
Have you ever noticed that the opposite sides a die always add up to seven (7)
13.
Trigonometry is the study of the relationship between the angles of triangles and their sides
14.
Abacus is considered the origin of the calculator
15.
Here is an interesting trick to check divisibility of any number by number 3. A number is divisible by three if the sum of its digits is divisible by three (3)
16.
Do you know the magic of no. nine (9)? Multiply any number with nine (9 ) and then sum all individual digits of the result (product) to make it single digit, the sum of all these individual digits would always be nine (9).
17.
If you add up the numbers 1-100 consecutively (1+2+3+4+5...) the total is 5050
18.
A 'jiffy' is an actual unit of time for 1/100th of a second
19.
Have you heard about a Palindrome Number? It is a number that reads the same backwards and forward, e.g. 12421
20.
Have you heard about Fibonacci? It is the sequence of numbers wherein a number is the result of adding the two numbers before it! Here is an example: 1, 1, 2, 3, 5, 8, 13, 21, 34, and so on
AQA GCSE Mathematics (8300)
June 2022
Paper 1: Non-Calculator 8300/1F -
Foundation
Paper 1: Non-Calculator 8300/1H -
Higher
Paper 2: Calculator 8300/2F -
Foundation
Paper 2: Calculator 8300/2H -
Higher
Paper 3: Calculator 8300/3F -
Foundation
Paper 3: Calculator 8300/3H -
Higher
GCSE, AS and A-level, AQA, ELC, Functional skills Past Papers and Mark Schemes: https://www.aqa.org.uk/find-past-papers-and-mark-schemes
- A-Level Maths past papers - A-Level
- National 4, National 5, Higher and Advanced Maths - SQA (Scotland)
- Excellent Maths Resource - Khan Academy
- Excellent Maths Resource - mathtv.com
- Excellent Maths Website - HegartyMaths
- Excellent Maths Resource - MyMaths
- Great Maths Resource - Patrick JMT (Similar to Khan Academy)
- Good Maths Resource - Math Forum
- Good Maths Resource - Cut The Knot
- Good Maths Resource - SOS Maths
- Good Maths Resource - mathsnet.net
- Good Maths Resource - White Group A level H2 Mathematics
- Good Maths Resource - Yaymath (Go to videos link at bottom of page)
- Good Maths Resource - Good Online Calculators
- University Maths - MIT OpenCourseWare (Video Lectures, Problems & Solutions and more)
- Calculus Tutor - Karl's Calculus Tutor
- Excellent A-Level Maths EXAM Practice - To Improve Exam Grades
- Excellent A-level Resource Site - A Level Mathematics Resource Site with loads of revision material and topic summaries
- Excellent A-Level Most up-to-date past paper site - Topmaths.org
- Statistics resources - statistics resources
- University lectures for A-Level students - TheMathsFaculty
- Excellent Maths Resource - Video tutorials, diagnostics, notes and exercises
- Good A level Maths Resource - Mathcentre
- The Maths Centre - themathscentre Maths e Learning Portal #IGCSE Add Maths(video/pdf), Alevels Edexcel/CIE (video/pdf#,collection of more than 10 yrs alevels past year exams full solutions)/Mechanics 1 and 2 full coursework /AS Statistics paper6 video/pdf/free discussion of 2012 cie alevel maths/stats/mechanics exam papers/Statistics2 cie paper 7/igcse question bank.
- Collection of extremely useful videos on Quadratics, Functions, Co-ordinate Geometry, Series, Vectors and Trigonometry. - Youtube | Mroldridge
- A unique collection of interactive maths tutorials for GCSE, AS and A-Level maths tutorials for GCSE, AS and A-Level
Advanced Maths:
- Complete Help in AS AND A-Level Maths - Vivax Solutions
Maths Question Sets:
- Some maths quizzes - Think&Done
- Maths & Physics Problems - Brilliant
Physics:
- Latest News and Update on tech - Physics Web
- Some good articles - Physics Central
- General and special theory of relativity
- an excellent collection of physics resources for GCSE, AS and A-Level
- Master Electricity for your iGCSE, AS, A-Level or IB*** Learn electricity through worked examples
Something More:
- Quantum Computers Notes - Qubit
- Making Stuff at home - Scitoys
- Infinite number of maths quizzes from very basic up to Calculus
Maths Olympiad Links:
Other Links:
- Maths Challenge
- Cambridge University
- Calc
- Number Theory
- KS3 Maths
- Mathematical Atlas
- Excellent A-Level Most up-to-date past paper site Topmaths.org
- Short Preview Version of STEP solved problems Vol 1 from White Group Mathematics
- Interactive LaTeX editor
E-Day (Eulers Number)
E-day is celebrated to celebrate the mathematical constant e, which is called as Euler’s Number and has a value of 2.7182818.
It is celebrated on
7th of February
every year. The date is chosen from the the first two digits of
the Euler’s Number.
Fibonacci Day
Fibonacci Day is celebrated on
23rd of November
every year. It is celebrated to honour Italian mathematician Leonardo Bonacci, the most talented Western Mathematician of the Middle Ages. He is also known as Leonardo of Pisa and Leonardo Fibonacci. He introduced Europe to the Hindu-Arabic numeral system to ease the calculations with numbers unlike Roman numerals. He introduced one of the most influential sequence of numbers called as Fibonacci Numbers, which further derives a unique ratio in mathematics, called as “Golden Ratio”. Surprisingly,
Golden ratio can describe many phenomenon of nature to financial markets. Fibonacci day is celebrated on 23rd November every year and the date 11/23 is selected because
the digits in 11/23 makes the part of Fibonacci sequence i.e. 1, 1, 2, 3.
National Mathematics Day (India)
National Mathematics day is celebrated in India on
22 December
every year which is the birth anniversary of famous mathematician Srinivasa Ramanujan. He was an Indian mathematician who contributed to number theory, infinite series and continued fractions in his short span of life only. He was the youngest to receive Fellows of the Royal Society and elected as Fellow of Trinity
College, Cambridge.
Palindrome Day
Palindrome Day is the day of the year which makes same pattern like Palindrome. Palindrome is word or a number which can be read in both forward and backward directions and reading in both directions makes the same word or the number. For a day to be a palindrome it must be in a format of mm/dd/yyyy or mm/dd/yy.
Let’s find out below the next palindrome dates.
Example 20 March, 2023. We can write it as 3/20/23 in m/dd/yy format. The number sequence is 32023 in forward direction (left to right). And, number sequence is 32023 in backward direction (right to left). So, it is a palindrome because the number 32023 comes out to be same if read in either direction, which makes 3/20/23 as a palindrome day. List of Palindrome Days
Date Number in forward direction Number in backward direction
March 20, 2023 (3/20/23) 32023 32023
March 21, 2023 (3/21/23) 32123 32123
March 22, 2023 (3/22/23) 32223 32223
March 23, 2023 (3/23/23) 32323 32323
March 24, 2023 (3/24/23) 32423 32423
March 25, 2023 (3/25/23) 32523 32523
March 26, 2023 (3/26/23) 32623 32623
March 27, 2023 (3/27/23) 32723 32723
March 28, 2023 (3/28/23) 32823 32823
March 29, 2023 (3/29/23) 32923 32923
Pi Day (International Day of Mathematics)
Pi is the most famous number and a mathematical constant, which has a value of 3.142. It is observed on
14 March
of every year. It is also known by the name of International Day of Mathematics from November, 2019 onwards. The official website of International Day of Mathematics is https://www.idm314.org/. It is observed on 3/14 because the three digits 3, 1 and 4 makes the first 3 numbers of Pi value.
Pythagorean Theorem Day
Pythagorean Theorem Day is celebrated all over the world to celebrate the famous theorem of Geometry Pythagoras Theorem. The date of celebration is calculated using the Pythagoras formula.
We know the Pythagoras formula states that the sum of squares of perpendicular and base is equal to the square of the hypotenuse.
The date of celebration in a year falls on the day when the sum of squares of date and month equals the square of the last two digits of the year. Example
Pythagorean Theorem Day in year 2017 was 15 August, 2017. Let’s see how it is calculated.
Date = 15 Month = 8 Last two digits of year 2017 = 17 also,
So, for 15 .08.17, sum of squares of 15 and 8 is equal to square of 17.
This is how the date is calculated for Pythagorean Theorem Day.
The next Pythagorean Theorem Day in the future falls on 24 July, 2025.
Square Root Day
Square Root Day is the rarest mathematics day because it cannot be celebrated every year. Surprisingly, its occurrence is only 9 times in one century. It is celebrated on the days when both date and month are the square root values of the last two digits of the year.
15 square + 8 square = 225 + 64 = 289 = 17 square
It was started by Ron Gordon, a high school teacher from Redwood City, California on September 9, 1981 (9/9/81).
The last square root day celebrated was on 4 April, 2016 (4/4/2016). The next upcoming Square Root Day is 5 May, 2025 (5/5/25).
Let’s take an example of square root day and see how it is calculated. Example: February 2, 2004 (2/2/04)
day = 2, month = 2, year = 04
So, square root of year 04 is equal to both day 02 and month 02 of 2/2/04 List of Square Root Days in a century
Date Day Month Year Square root of year
January 1, 2001 (1/1/01) 1 1 1 = 1
February 2, 2004 (2/2/04) 2 2 4 = 2
March 3, 2009 (3/3/09) 3 3 9 = 3
April 4, 2016 (4/4/16) 4 4 16 = 4
May 5, 2025 (5/5/25) 5 5 25 = 5
June 6, 2036 (6/6/36) 6 6 36 = 6
July 7, 2049 (7/7/49) 7 7 49 = 7
August 8, 2064 (8/8/64) 8 8 64 = 8
September 9, 2081 (9/9/81) 9 9 81 = 9
Women in Mathematics Day
Women in Mathematics Day is celebrated worldwide on
12th of May
every year. It is the day to celebrate for women in mathematics for their achievements in the field of mathematics and to encourage to an open, welcoming and inclusive environment for everybody.
The events to celebrate the day take place from 1 May to 15 June.
May 12 Initiative is the website whose goal is to inspire women everywhere in the world to
celebrate their achievements in mathematics and to encourage an open, welcoming and
inclusive work environment for everybody.
World Maths Day
World Maths Day (23 March 2023) is a global celebration of mathematics where millions of students aged 5 to 18 across the world compete in Live Mathletics challenges. It’s free and open to schools all over the world. Any student aged from 5 to 18 years can participate and win the prizes.
If you would like to know more about how it works, please click on this link to read more about it.