Chapter 1.1
Number Operations Review (All Types)
Review and master addition, subtraction, multiplication, and division with whole numbers, decimals, and negative numbers.
Chapters16
Operations, indices, surds, bounds, standard form.
Time invested13 hrs
Approximate guided learning.
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Chapter 1.2
Order of Operations (BIDMAS/BODMAS Advanced)
Master the correct order of operations in complex calculations with brackets, indices, division, multiplication, addition, and subtraction.
Chapter 1.3
Factors, Multiples, Primes (Advanced Problems)
Solve challenging GCSE problems involving factors, multiples, and prime numbers.
Chapter 1.4
HCF and LCM (Problem-Solving)
Apply highest common factor and lowest common multiple to real-world GCSE contexts.
Chapter 1.5
Prime Factorization (Product of Primes)
Express numbers as products of prime factors using factor trees and division methods.
Chapter 1.6
Laws of Indices (Complete Mastery)
Master all index laws: multiplication, division, power of power, zero power, negative powers, and fractional powers.
Chapter 1.7
Standard Form Calculations (All Operations)
Perform addition, subtraction, multiplication, and division with numbers in standard form.
Chapter 1.8
Standard Form Problem-Solving (GCSE Style)
Apply standard form to real-world contexts: astronomy, biology, physics, and technology.
Chapter 1.9
Surds - Simplification (Higher)
Simplify surds by finding and removing perfect square factors.
Chapter 1.10
Surds - Operations (Higher)
Add, subtract, multiply, and divide surds with confidence.
Chapter 1.11
Surds - Rationalizing Denominators (Higher)
Rationalize denominators containing surds, including difference of two squares method.
Chapter 1.12
Estimation and Approximation
Estimate calculations using rounding and approximation to check answers.
Chapter 1.13
Upper and Lower Bounds (Higher)
Calculate upper and lower bounds for rounded measurements and their applications.
Chapter 1.14
Error Intervals (Higher)
Express error intervals using inequality notation and solve complex bounds problems.
Chapter 1.15
Recurring Decimals to Fractions (Higher)
Convert recurring decimals to fractions using algebraic methods.
Chapter 1.16
Non-Calculator Number Skills
Master all essential non-calculator techniques for Paper 1 success.
Next steps
Ready to tackle fractions and decimals? Move on to Section 2 to master the FDP skills essential for all GCSE papers.