Comprehensive GCSE Maths Mastery: Essential Concepts, Strategies, and Practice" is an all-encompassing guide designed to provide students with a thorough understanding of the entire GCSE Maths curriculum. This document is meticulously structured to cover five key areas: Number, Algebra, Geometry an...
Round 123.4567 to 2 decimal places: Answer is 123.46.
Percentages
Calculate 15% of 200: Answer is 30.
Jacket priced at £60 with a 25% discount: Sale price is £45.
Ratios and Proportions
Simplify the ratio 12:16: Answer is 3:4.
Divide £200 in the ratio 3:2: Alice gets £120, Bob gets £80.
Powers and Roots
Calculate 5353 and 6464: Answers are 125 and 8, respectively.
Cube root of 27: Answer is 3.
Standard Form
Write 0.000305 in standard form: Answer is
3.05×10−43.05×10−4.
, Multiply 3×1043×104 by 2×1022×102: Answer is 6×1066×106.
Surds
Simplify 5050: Answer is 5252.
Rationalize 1221: Answer is 2222.
Estimation and Approximation
Estimate 198×52198×52: Rounded to 200 and 50, estimated
answer is 10,000.
Round 0.003657 to two significant figures: Answer is 0.0037.
Sequences
10th term of 3, 6, 9, 12, ...: Answer is 30.
Algebra
Expressions and Equations
Simplify 4a−3a+2b−b4a−3a+2b−b: Answer is a+ba+b.
Solve 3x+4=193x+4=19: Answer is x=5x=5.
Inequalities
Solve 5y−2≤185y−2≤18: Answer is y≤4y≤4.
Represent x>−3x>−3 on a number line: A line with an open
circle at -3 and shading to the right.
Sequences
8th term of 2, 5, 8, 11, ...: Answer is 23.
Next term in 3, 6, 12, 24, ...: Answer is 48.
Quadratic Equations
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