GCSE Higher Tier Math Test Prep Course
Integers, exponents, and order of operations
Fractions
- 11 Factors and Primes
- 12 Prime Factorization
- 13 Multiples and Least Common Multiple
- 14 Greatest Common Factor
- 15 Introduction to Fractions
- 16 Equivalent Fractions (Part I)
- 17 Reducing Fractions to Lowest Terms
- 18 Equivalent Fractions (Part II)
- 19 Improper Fractions and Mixed Numbers
- 20 Comparing Proper Fractions
- 21 Comparing Mixed Numbers and Improper Fractions
- 22 Comparing Fractions Word Problems
- 23 Adding and Subtracting Like Fractions
- 24 Adding and Subtracting Unlike Fractions
- 25 Adding Mixed Numbers
- 26 Subtracting Mixed Numbers
- 27 Multiplying Fractions
- 28 Multiplying Mixed Numbers
- 29 Dividing Fractions
- 30 Dividing Mixed Numbers
Decimals
- 31 Understanding Decimals
- 32 Converting Decimals to Fractions
- 33 Converting Fractions to Decimals
- 34 Comparing Decimals
- 35 Rounding Decimals
- 36 Estimating Sums and Differences of Decimals
- 37 Powers of 10
- 38 Converting from Scientific to Standard Notation
- 39 Converting from Standard to Scientific Notation
- 40 Terminating and Repeating Decimals
- 41 Determining if a Number is Rational or Irrational
Algebraic expressions
Linear equations in one variable
- 46 One-Step Equations
- 47 Two-Step Equations
- 48 Equations with Fractions
- 49 Equations Involving Distributive
- 50 Equations with Variable on Both Sides
- 51 Equations with Variable on Both Sides and Fractions
- 52 Equations with Variable on Both Sides and Distributive
- 53 Equations with Decimals
- 54 Equations with Decimals and Decimal Solutions
- 55 Equations with Fraction Solutions
- 56 Literal Equations
- 57 Advanced Literal Equations
Ratios, proportions, and percents
Geometry concepts
Beginning measurement
Solving word problems
Inequalities, absolute value, functions, graphing
- 94 Solving and Graphing Inequalities
- 95 Combined Inequalities
- 96 Advanced Inequalities
- 97 Absolute Value Equations
- 98 Absolute Value Inequalities
- 99 The Coordinate Grid
- 100 Domain and Range
- 101 Definition of a Function
- 102 Function and Arrow Notation
- 103 Graphing within a Given Domain
- 104 Graphing Lines
- 105 The Intercept Method
- 106 Graphing Inequalities in Two Variables
Transformations and symmetry
Linear equations in two variables
- 113 Patterns and Table Building
- 114 Word Problems and Table Building
- 115 Slope as a Rate of Change
- 116 Slope of a Line
- 117 Using Slope to Graph a Line
- 118 Slope Formula
- 119 Slope-Intercept Form
- 120 Converting to Slope-Intercept Form and Graphing
- 121 Linear Parent Graph and Transformations
- 122 Interpreting Graphs
- 123 Writing Equations of Lines
- 124 Writing Equations of Lines Using Tables
- 125 Writing Equations of Lines in Standard Form
- 126 Writing Equations of Lines Using the Point-Slope Formula
- 127 Writing Equations of Lines Given Two Points
- 128 Writing Equations of Parallel and Perpendicular Lines
- 129 Direct Variation
- 130 Applications of Direct Variation and Linear Functions
Systems of linear equations in two variables
Exponents and polynomials
Factoring polynomials
- 145 Greatest Common Factor
- 146 Factoring out the Greatest Common Factor
- 147 Factoring Trinomials with Positive Constants
- 148 Factoring Trinomials with Negative Constants
- 149 Difference of Two Squares
- 150 Factoring Trinomials with Lead Coefficients and Positive Constants
- 151 Factoring Trinomials with Lead Coefficients and Negative Constants
- 152 Factoring by Grouping
- 153 Factoring Completely
- 154 Beginning Polynomial Equations
- 155 Intermediate Polynomial Equations
Rational expressions and equations
Radical expressions and equations
- 164 Simplifying Square Roots
- 165 Multiplying Square Roots
- 166 Dividing Square Roots
- 167 Adding and Subtracting Square Roots
- 168 Simplifying Radicals
- 169 Multiplying Radicals
- 170 Dividing Radicals
- 171 Adding Radicals and FOILing with Radicals
- 172 Dividing Radicals Using Conjugates
- 173 Radical Equations
- 174 Advanced Radical Equations
Quadratic equations and functions
- 175 Linear or Quadratic Functions
- 176 Graphs of Quadratic Functions and Beginning Transformations
- 177 Graphs of Quadratic Functions and Advanced Transformations
- 178 Solving Quadratic Equations by Graphing
- 179 Taking the Square Root of Both Sides
- 180 Completing The Square
- 181 Advanced Completing The Square
- 182 Quadratic Formula
- 183 Advanced Quadratic Formula
- 184 Imaginary Numbers
- 185 Advanced Imaginary Numbers
- 186 Complex Numbers
- 187 Understanding y - k = a(x - h)2 Form
- 188 Graphing Quadratic Equations in y - k = a(x - h)2 Form
- 189 Graphing Quadratic Functions
Introduction to geometry
- 190 Points, Lines, Planes, and Space
- 191 Segments, Rays, and Length
- 192 Segment Addition Postulate and Midpoint
- 193 Angles and Measure
- 194 Angle Addition Postulate and Angle Bisector
- 195 Inductive vs. Deductive Reasoning
- 196 Conditional Statements
- 197 Properties
- 198 Algebra Proofs with Properties
- 199 Geometry Proofs with Midpoints and Angle Bisectors
Parallel & perpendicular lines, angles, and polygons
- 200 Complementary and Supplementary Angles
- 201 Advanced Complementary and Supplementary Angles
- 202 Vertical Angles
- 203 Problems Involving Perpendicular Lines
- 204 Theorems Involving Perpendicular Lines
- 205 Parallel Lines Vocabulary
- 206 Given Lines are Parallel
- 207 Proving Lines are Parallel
- 208 Triangle Vocabulary and Triangle Sum Theorem
- 209 Triangle Word Problems and Exterior Angle Theorem
- 210 Polygon Vocabulary
- 211 Sum of Interior and Exterior Angles of a Polygon
- 212 Regular Polygons
Congruence and triangles
Quadrilaterals
Similarity
Right triangles
- 230 Pythagorean Theorem
- 231 Pythagorean Theorem Word Problems
- 232 Converse of the Pythagorean Theorem
- 233 30-60-90 and 45-45-90 Degree Triangles
- 234 Advanced 30-60-90 and 45-45-90 Degree Triangles
- 235 Sine, Cosine, and Tangent
- 236 Sine, Cosine, and Tangent with a Calculator
- 237 Trigonometry Word Problems
Circles
Area, volume, and surface area
- 247 Area of Rectangles and Squares
- 248 Advanced Area of Rectangles and Squares
- 249 Area of Parallelograms
- 250 Area of Triangles
- 251 Area of Rhombuses
- 252 Area of Trapezoids
- 253 Area of Regular Polygons
- 254 Area and Circumference of Circles
- 255 Area and Volume of Prisms
- 256 Advanced Area and Volume of Prisms
- 257 Area and Volume of Pyramids
- 258 Advanced Area and Volume of Pyramids
- 259 Area and Volume of Cylinders and Cones
- 260 Area and Volume of Spheres
Data and statistics
- 261 Bar Graphs
- 262 Line Graphs
- 263 Circle Graphs
- 264 Stem-and-Leaf Plots and Frequency Charts
- 265 Histograms
- 266 Scatterplots and Trends
- 267 Range, Median, and Mode
- 268 Box-and-Whisker Plots
- 269 Mean
- 270 Central Tendency Word Problems
- 271 Simple Probability
- 272 Experimental Probability
- 273 Probability of Independent Events
- 274 Probability of Dependent Events
- 275 Tree Diagrams and the Counting Principle
- 276 Permutations
- 277 Combinations
What kind of math is on the GCSE Higher Tier test?
The math questions on the GCSE Higher Tier test cover Pre-Algebra, Algebra, and Geometry. Make sure your math review only includes the topics that are covered on the test. The best GCSE Higher Tier test prep programs won’t waste your time on lessons you don’t need.
How do you pass the GCSE Higher Tier math test?
If you’re worried about how to pass the GCSE Higher Tier math test, here are some tips.
- Manage test anxiety. Get plenty of rest and exercise while preparing for the GCSE Higher Tier K12 Assessment test.
- Be ready for the exam. We recommend at least 1 to 3 months of review beforehand.
- Avoid doing problems in your head. Instead, write out the solution steps. The best GCSE Higher Tier math courses will include guided solutions.
- Read the questions carefully. It’s also a good idea to draw pictures when applicable.
- Don’t stress if you’re having trouble with a question. As you answer the easier questions, you’ll gain the confidence you need to tackle the harder problems.
- Use all of the time allowed for the test. If you finish early, go back and rework the problems (if allowed).
Is the GCSE Higher Tier math test hard?
The math on the GCSE Higher Tier K12 Assessment exam won’t seem hard if you’re thoroughly prepared. To build confidence, use an online GCSE Higher Tier prep course instead of a book.
How do I prepare for the GCSE Higher Tier math test?
The best way to prepare for the math section of the GCSE Higher Tier math K12 Assessment test is to follow the steps listed below.
- Gather information about the GCSE Higher Tier by visiting the official test website.
- Find a quiet place to practice each day.
- Make a schedule for daily study time.
- Get help in the form of an online GCSE Higher Tier math study guide.
- Focus your learning on the exact skills you’ll need.
- Take a GCSE Higher Tier math practice test that generates new questions each time you take it.
Is GCSE Higher Tier tutoring worth it?
Tutoring can make a big difference in your K12 Assessment exam score, but the hourly cost for a GCSE Higher Tier math tutor is £40 to £100 or more. Fortunately, affordable online courses that feature concise instruction and guided practice questions can be just as effective.
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What makes MathHelp.com different?
What is the GCSE Higher Tier Test?
The General Certificate of Secondary Education (GCSE) is an academic qualification in a particular subject, taken in England, Wales, and Northern Ireland. State schools in Scotland use the Scottish Qualifications Certificate instead. Private schools in Scotland may choose to use an alternative qualification.
Each GCSE qualification is offered in a specific school subject (e.g. Mathematics, Science, History, Geography, Art, Design and Technology, etc). The UK government has drawn up a list of preferred subjects known as the English Baccalaureate and the Progress 8 benchmark metric is calculated on the results in eight GCSEs including English, Maths and Science. Studies for GCSE examinations take place over a period of two or three academic years (depending upon the subject, school, and exam board), starting in Year 9 or Year 10 for the majority of students, with examinations being sat at the end of Year 11 in England and Wales.
GCSEs were introduced in Sep 1987 to establish a national qualification for those who decided to leave school at 16, without pursuing further academic study towards qualifications such as A-Levels or university degrees. They replaced the former CSE and O-Level qualifications, uniting the two qualifications to allow access to the full range of grades for more students. However the exam papers sometimes had a choice of questions designed for the more able and the less able candidates. Upon introduction, the GCSEs were graded on a letter scale, from A to G, with a C being set as roughly equivalent to an O-Level Grade C, or a CSE Grade 1, and thus achievable by roughly the top 25% of each cohort.
Initially, the mathematics papers were set in three tiers: Higher; Intermediate; and Foundation, to cover different mathematical abilities. The Higher level corresponded to grades A-C; the Intermediate level corresponded to grades C-E; and the Foundation level corresponded to grades E-G. However, it was later realised that nobody who sat the Foundation level had any chance of passing the subject at grade C, so this arrangement was replaced by a two-tier arrangement where the Intermediate and Foundation levels were merged. This brought the subject into line with other subjects that typically had foundation and higher level papers. This meant that somebody who sat the new Foundation level could now achieve a grade C, which was considered the formal pass level.
With the introduction of numbered grades, the Higher tier provides grades 9-4 and the Foundation tier provides grades 5-1.