GCSE AQA Maths Paper 2 Calculator ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
(Higher) exam with correct answers ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
What do =, ≠, <, >, ≤, ≥ represent?
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= equal
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≠ doesn't equal
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< smaller than
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> larger than
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≤ smaller or equal to
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≥ larger or equal to
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Natural number, integer, prime number, square number,
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fraction, decimal examples ||\\||\\ ||\\||\\
Natural number: 1, 2, 3, 4, 5 ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Integer: -3, -2, -1, 0, 1, 2, 3 ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Prime number: 2, 3, 5, 7, 11
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Sqaure number: 1, 4, 9, 16, 25 ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Fraction: 1/2, 3/8 ||\\||\\ ||\\||\\
Decimal: 0.5, 0.003 ||\\||\\ ||\\||\\
Decimal + and - ||\\||\\ ||\\||\\ ||\\||\\
Decimal x Decimal ||\\||\\ ||\\||\\
,Decimal division ||\\||\\
Converting mixed numbers to improper fraction ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Adding and subtracting mixed numbers ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Multiplying fractions ||\\||\\
BIDMAS
Simplifying algebric expressions ||\\||\\ ||\\||\\
For example, ||\\||\\
3x + 7x - 5 = 6 ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
10x - 5 = 6 ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
10x = 11 ||\\||\\ ||\\||\\
x = 11/10
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What are Multiples? ||\\||\\ ||\\||\\
Examples?
A multiple of a number is found when you multiply that
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number by a positive integer ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
The first three multiples of 12: 12, 24, 36 ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Lowest common multiple (LCM) ||\\||\\ ||\\||\\ ||\\||\\
, OR use list: ||\\||\\ ||\\||\\
24: 24, 48, 72 ||\\||\\ ||\\||\\ ||\\||\\
36: 36, 72 ||\\||\\ ||\\||\\
Factor example ||\\||\\
Factor of 12: ||\\||\\ ||\\||\\
12 = 1 x 12
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12 = 2 x 6
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12 = 3 x 4
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So 1, 2, 3, 4, 6, 12 are the factors of 12
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Highest common factor (HCF) ||\\||\\ ||\\||\\ ||\\||\\
OR use list ||\\||\\ ||\\||\\
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40 ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Factors of 78: 1, 2, 3, 6, 13, 26, 39, 78 ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
The common factors are 1, 2, 3, and 6.
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Therefore, the HCF using the listing method is 6 ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
What are prime numbers? ||\\||\\ ||\\||\\ ||\\||\\
What are composite numbers? ||\\||\\ ||\\||\\ ||\\||\\
(Higher) exam with correct answers ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
What do =, ≠, <, >, ≤, ≥ represent?
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
= equal
||\\||\\
≠ doesn't equal
||\\||\\ ||\\||\\
< smaller than
||\\||\\ ||\\||\\
> larger than
||\\||\\ ||\\||\\
≤ smaller or equal to
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
≥ larger or equal to
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Natural number, integer, prime number, square number,
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
fraction, decimal examples ||\\||\\ ||\\||\\
Natural number: 1, 2, 3, 4, 5 ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Integer: -3, -2, -1, 0, 1, 2, 3 ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Prime number: 2, 3, 5, 7, 11
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Sqaure number: 1, 4, 9, 16, 25 ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Fraction: 1/2, 3/8 ||\\||\\ ||\\||\\
Decimal: 0.5, 0.003 ||\\||\\ ||\\||\\
Decimal + and - ||\\||\\ ||\\||\\ ||\\||\\
Decimal x Decimal ||\\||\\ ||\\||\\
,Decimal division ||\\||\\
Converting mixed numbers to improper fraction ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Adding and subtracting mixed numbers ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Multiplying fractions ||\\||\\
BIDMAS
Simplifying algebric expressions ||\\||\\ ||\\||\\
For example, ||\\||\\
3x + 7x - 5 = 6 ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
10x - 5 = 6 ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
10x = 11 ||\\||\\ ||\\||\\
x = 11/10
||\\||\\ ||\\||\\
What are Multiples? ||\\||\\ ||\\||\\
Examples?
A multiple of a number is found when you multiply that
||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
number by a positive integer ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
The first three multiples of 12: 12, 24, 36 ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Lowest common multiple (LCM) ||\\||\\ ||\\||\\ ||\\||\\
, OR use list: ||\\||\\ ||\\||\\
24: 24, 48, 72 ||\\||\\ ||\\||\\ ||\\||\\
36: 36, 72 ||\\||\\ ||\\||\\
Factor example ||\\||\\
Factor of 12: ||\\||\\ ||\\||\\
12 = 1 x 12
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12 = 2 x 6
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12 = 3 x 4
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So 1, 2, 3, 4, 6, 12 are the factors of 12
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Highest common factor (HCF) ||\\||\\ ||\\||\\ ||\\||\\
OR use list ||\\||\\ ||\\||\\
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40 ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Factors of 78: 1, 2, 3, 6, 13, 26, 39, 78 ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
The common factors are 1, 2, 3, and 6.
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Therefore, the HCF using the listing method is 6 ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\ ||\\||\\
What are prime numbers? ||\\||\\ ||\\||\\ ||\\||\\
What are composite numbers? ||\\||\\ ||\\||\\ ||\\||\\
