Maths Resources (page 17)
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What is Pythagoras Theorem?
Pythagoras Theorem StatementPythagoras theorem
asserts that In a right-angled triangle, the square of the hypotenuse side
is equivalent to the total of squares of the other two ...
Arithmetic sequences
An arithmetic sequence is a sequence where the first term is a and the difference between consecutive terms is constant and is called d.For example , if the first term a =11, d=3, th...
Equation of a circle
A circle with centre (m,n) and radius r, has equation(x-m)2 + (x-n) 2 =r2 A circle C has equation x2 + y2 -6x+2y -15=0The coordinate of the centre and the radius are:(x-3)2...
PRIME NUMBERS, HCF, LCM
PRIMES NUMBERS , HCF , LCM.The factors of a number are any numbers that divide into it exactly. A prime number has exactly two factors, itself and 1. The prime numbers are : 2,3, 5,...

Ideas for Building confidence in Maths
In my many years as a Maths teacher
across the Primary age groups, I have used strategies to install a love and curiosity
for maths and ways to dispel the fear around maths. 1...

Using `Narration` in Maths Tutorials
When I began tutoring, I was struck by the amount of time spent waiting while the student wrote out their solutions. I found it frustrating, aware that precious time was ticking away,...

Surds
Generally, for GCSE and A-level
students, a surd is a number which contains part square root/cube
root and part rational number, e.g., root2 = 1 * root2 and root3
= 1 * root3, wher...

Lowest Common Multiple (LCM)
NotesThe lowest common multiple (LCM)
is defined by the smallest integer multiple that is shared by two or more
numbers, e.g., the LCM of 5 and 8 is 40. COMMON MISTAKE: In the abo...

Highest Common Factor (HCF)
NotesThe highest common factor
(HCF) is defined by the largest integer shared by two or more numbers,
e.g., the HCF of 20 and 40 is 20.The most efficient method for
calculating the...

WEIGHT word problems
Weight word problems 1. One pencil weighs 10g. How much will two pencils weigh?2. I have a truck that weighs 7g and a truck that weighs 9g. How much will both my trucks weigh togeth...
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