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The Ultimate GCSE Maths Revision lesson | GCSE Maths Exam 2024 | Resit Exams 2024 | Crossover The GCSE Maths Tutor.
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The Ultimate GCSE Maths Revision Video | GCSE Maths Exam 2024 | Resit Exams 2023 |
Crossover|
The GCSE Maths Tutor
Content Reviewed in the lessons
The lesson covers all the content that you need to get a grade five in the GCSE maths exam.
The topics are broken down into units in the guide.
Question 1 - Multiplying Decimals
Question 2 - Product of Prime Factors
Question 3 - Highest Common Factor (HCF) of 84 and 180
Question 4 - Lowest Common Multiple (LCM) of 40 and 56
Question 1 - Multiplying Decimals
In this question, you need to multiply the decimals 54.6 and 4.3. The video demonstrates the
process of removing the decimals from the numbers and treating them as whole numbers. The
multiplication is then performed using column multiplication. The answer is converted back into
a decimal, with the decimal places placed correctly.
Question 2 - Product of Prime Factors
In this question, you need to find the prime factorization of the number 56. The lesson
demonstrates creating a tree of prime numbers that multiply to make 56. The prime numbers are
circled, indicating the end of each branch of the tree.
Question 3 - Highest Common Factor (HCF) of 84 and 180
In this question, you need to find the highest common factor (HCF) of the numbers 84 and 180.
The lesson demonstrates a methodical approach to finding the factors of each number. The
factors are tested to see if they fit into the other number. Once the factors of one number are
found, the approach is repeated for the other number. The highest common factor is
determined.
Question 4 - Lowest Common Multiple (LCM) of 40 and 56
, In this question, you need to find the lowest common multiple (LCM) of the numbers 40 and 56.
The lesson demonstrates writing out the multiples of each number and finding the lowest
number that appears in both lists. The LCM is determined.
Summary
The lesson provides a comprehensive review of the crossover content for GCSE maths,
covering various topics and providing step-by-step explanations of the concepts. It also offers
guidance on how to approach and solve the questions, as well as recommendations for
additional resources and courses.
Part 1: Simplifying Expressions
Given the expression 200, we know that it goes up to 240, then to 280. So the lowest common
multiple and final answer would be 280.
Part 2: Laws of Indices
There are a few rules to remember when dealing with laws of indices:
When multiplying, we can add the powers.
When dividing, we can subtract the powers.
For example, if we have the expression 7^^2, we can rewrite it as (7/3)^2.
Part 3: Solving Quadratic Equations
To solve a quadratic equation, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
For example, if we have the equation x^2 - 6x + 9 = 0, we can substitute the coefficients a = 1, b
= -6, and c = 9 into the formula to find the solutions.
Part 4: Simplifying Expressions
When simplifying expressions, we can collect like terms or multiply and add/subtract them:
For example, 5f - 1f = 4f.
For example, 2^8 * 3^n = 2^(8n) * 3^n.
Part 5: Multiplying Expressions
When multiplying expressions, we can multiply the powers:
For example, if we have the expression 5^2 * 3^3, we can rewrite it as 15.
Part 6: Adding/Subtracting Expressions
When adding/subtracting expressions, we can add/subtract the powers:
For example, if we have the expression 2^5 + 2^3, we can rewrite it as 10 + 8 = 18.
Part 7: Solving Equations
To solve equations, we can use substitution:
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