11+ Maths Summer Crash Course
11+ Maths Summer Crash Course
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If your child sitting the 11+ this autumn, September is too late to start panicking.
Our 11+ Maths Summer Crash Course kicks off on Monday, 27th July at 12:30 PM (UK Time).
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The Plan: 16 fast-paced, high-impact lessons.
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The Schedule: Every Monday, Wednesday and Friday
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The Goal: Master everything from Fractions and Ratios to Algebra and Exam Strategy. No fluff, just results.
⏳ Lessons start Monday, 27th July at 12:30 PM.
11+ Mathematics Preparation: 16-Lesson Curriculum Plan
This curriculum is designed to build strong foundational skills, boost mental agility, and master the exact problem-solving techniques required to ace the 11+ maths exam.
Module 1: Numbers & Arithmetic
Lesson 1: The Number System
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Core Concepts: Introduction to place value and reading large numbers.
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Skill Building: Creating the smallest and largest possible numbers using a given set of digits.
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Four Operations: Addition, subtraction, multiplication, and division.
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Roman Numerals: Understanding and converting Roman numerals.
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Exam Focus: Mental arithmetic speed and structured word problems.
Lesson 2: Integers & The Number Line
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Core Concepts: Introduction to positive and negative numbers.
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Visualizing Math: Using the number line to compare and order integers.
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Operations: Adding and subtracting negative numbers.
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Exam Focus: Word problems involving temperature, depth, and bank balances.
Lesson 3: Fractions
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Core Concepts: Understanding fractions, types of fractions (proper, improper, and mixed numbers), and representing them on a number line.
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Simplifying: Finding and creating equivalent fractions.
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Operations: Adding, subtracting, multiplying, and dividing with both like and unlike denominators.
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Advanced Skills: Comparing fractions, "reverse fractions" (finding the whole from a part), and practical application word problems.
Lesson 4: Decimals
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Core Concepts: Introduction to decimals and the decimal place value system.
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Visualizing Math: Locating and comparing decimals on a number line.
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Operations: Adding, subtracting, multiplying, and dividing decimals.
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Exam Focus: Solving real-world decimal word problems quickly and accurately.
Lesson 5: Percentages
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Core Concepts: Understanding percentages as "parts of 100".
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Conversions: Effortlessly converting between Fractions, Decimals, and Percentages (FDP).
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Operations: Finding percentages of amounts and percentage change.
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Exam Focus: Multi-step percentage word problems.
Module 2: Proportions, Values, & Measurements
Lesson 6: Ratios & Proportions
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Core Concepts: Understanding ratios, simplifying ratios, and dividing quantities into a given ratio.
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Proportions & Rates: Unitary method (finding the cost/value of "one" to find the value of many).
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Comparing: Analysing and comparing different ratios.
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Exam Focus: Real-world word problems on recipes, sharing, and scale.
Lesson 7: Money, Time, & Calendar
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Money: Calculating spending, change, and basic financial math.
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Time: Mastering 12-hour vs. 24-hour clocks, calculating time intervals, and reading timetables.
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The Calendar: Days in a month, leap years, and calculating dates.
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Exam Focus: Multi-step time and money word problems.
Lesson 8: Conversion of Units
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Core Concepts: Understanding metric units of measurement (Length, Mass, Capacity).
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Conversions: Converting between units (e.g., grams to kilograms, milliliters to liters, centimeters to meters).
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Exam Focus: Word problems requiring unit conversion before solving.
Module 3: Geometry & Shapes
Lesson 9: 2D & 3D Shapes
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2D Shapes: Properties of regular and irregular polygons.
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Triangles: Equilateral, Isosceles, Scalene, and Right-angled.
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Quadrilaterals: Square, Rectangle, Parallelogram, Trapezium, Rhombus, and Kite.
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3D Shapes: Identifying prisms, pyramids, spheres, cubes, and cuboids by their faces, edges, and vertices.
Lesson 10: Perimeter, Area, & Volume
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Perimeter & Area: Formulae and calculations for Squares, Rectangles, Triangles, and compound shapes.
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Volume: Calculating the volume of Cubes and Cuboids.
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Introduction to Advanced Shapes: Basic properties of circles, pyramids, and spheres.
Lesson 11: Coordinate Geometry
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Core Concepts: Introduction to the coordinate grid, X-axis, and Y-axis.
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The Grid: Working across all four quadrants.
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Skills: Plotting coordinates, finding missing points to complete geometric shapes, and translating shapes on a grid.
Lesson 12: Symmetry & Tessellations
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Symmetry: Finding lines of symmetry (reflective) and rotational symmetry in 2D shapes.
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Tessellations: Understanding how shapes fit together without gaps or overlaps to create repeating patterns.
Module 4: Algebra, Powers, & Data
Lesson 13: Squares, Cubes, & Indices
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Core Concepts: Introduction to indices (powers).
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Squares & Cubes: Understanding square numbers (x2), cube numbers (x3), and their corresponding roots
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Laws of Indices: Basic rules for multiplying and dividing powers.
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Bonus Focus: Deep-dive reinforcement of Roman Numerals.
Lesson 14: Simple Equations (Algebra)
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Core Concepts: Transitioning from words to symbols; introduction to variables and algebraic expressions.
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Equation Solving: Setting up and solving one-step and two-step algebraic equations.
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Exam Focus: Translating word problems into solvable algebraic equations.
Lesson 15: Data Handling & Statistics
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Core Concepts: What is data, and how do we collect and organize it?
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Data Representation: Reading and interpreting Tables, Bar Charts, and Pictograms.
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Averages: Finding and calculating the Mean, Median, Mode, and Range of a data set.
Lesson 16: Final Review & Exam Strategy
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Review: Comprehensive recap of the most challenging areas across all 15 lessons.
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Exam Technique: Time management, spotting "trap" questions, and double-checking work.
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Practice: Short, mixed mental math and word problem challenge.
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