In Year 8 students will continue to deepen their understanding of topics taught in Year 7 and at primary school. For example, their work on algebraic expressions will be extended to include index laws, expanding double brackets and further their understanding of percentages by learning methods involving decimal multipliers and continue to work with the fundamental concepts of ratio and proportion that were first introduced at primary school. They will be introduced to new and exciting mathematical concepts which draw on previously taught skills and knowledge. For example, trigonometry, bounds, solving equations involving fractions and negative enlargement. These topics give students the opportunity to develop their critical thinking skills and their ability to answer more complex problem-solving questions. Students will also extend their knowledge of number systems and effective calculator use will feature heavily throughout the year.
This test is non-calculator and covers everything taught so far this year. Use the MathsWatch clip numbers below to find short video lessons to help you revise each area.
Log in at: https://vle.mathswatch.co.uk/vle/ (login using the Google button)
Product of Primes — Clip 78 — Product of Primes
HCF & LCM with Venn — Clip 79 — Highest Common Factor (HCF)
HCF & LCM with Venn 2 — Clip 80 — Lowest Common Multiple (LCM)
Multiplication of Decimals — Clip 66a — Multiplying Decimals
Division with Decimals — Clip 66b — Dividing Decimals
Estimation — Clip 91 — Estimating Answers
Error Intervals — Clip 155a — Error Intervals (Rounding); Clip 155b — Error Intervals (Truncating)
Calculations with Upper and Lower Bounds — Clip 132 — Introduction to Bounds
Upper and Lower Bounds 2 — Clip 206 — Upper and Lower Bounds
Calculating with Fractions — Clip 71 — Adding and Subtracting Fractions; Clip 73 — Multiplying Fractions; Clip 74 — Dividing Fractions
Fractions to Decimals — Clip 84 — Decimals and Fractions
Recurring Decimals — Clip 177 — Recurring Decimals to Fractions
Rules of Indices — Clip 131 — Index Notation
Rules of Indices (Negative) — Clip 154 — Negative Indices
Standard Form for Large and Small Numbers — Clip 83 — Standard Form *
Multiplying and Dividing Standard Form — Clip 83 — Standard Form *
*The MathsWatch clip list only has one Standard Form clip. Use Clip 83 for all three sub-topics, then practise large-number, small-number and multiplying/dividing questions from the worksheet.
Log in to MathsWatch and search for the clip number listed next to each sub-topic. Watch the video, then try the linked worksheet or questions to check your understanding.
Read each question carefully before you start to answer it
Keep an eye on the time
Answer every question
Remember to show all your workings
Check your answers when you think you have finished
A little and often approach — just 15–20 minutes a day.
Week 1 — Primes & Calculations
Monday — Product of Primes (Clip 78) — watch the video, try 5 questions
Tuesday — HCF & LCM with Venn diagrams (Clips 79, 80)
Wednesday — HCF & LCM with Venn diagrams — harder questions (Clips 79, 80)
Thursday — Multiplying decimals (Clip 66a)
Friday — Dividing decimals (Clip 66b)
Weekend (optional, 10 mins) — Quick recap: pick 3 questions from any clip this week and redo them from memory
Week 2 — Estimation, Errors, Bounds & Fractions
Monday — Estimation (Clip 91)
Tuesday — Error Intervals (Clips 155a, 155b)
Wednesday — Calculations with upper and lower bounds (Clip 132)
Thursday — Upper and lower bounds 2 (Clip 206)
Friday — Calculating with fractions (Clips 71, 73, 74)
Weekend (optional, 10 mins) — Mixed recap: 2 questions from each day this week
Week 3 — Fractions/Decimals, Indices & Standard Form + Full Recap
Monday — Fractions to decimals (Clip 84)
Tuesday — Recurring decimals (Clip 177)
Wednesday — Rules of indices (Clip 131) + rules of indices, negative (Clip 154)
Thursday — Standard form: large and small numbers, and multiplying/dividing (Clip 83)
Friday — Full mixed recap: pick one question from each topic across all 3 weeks
Weekend before the test — Light review only: reread key notes, no new content
Tips
Short, daily sessions beat one long cram — aim for consistency over length.
After each clip, try a few questions without looking at notes, then check.
Keep a running list of anything you get wrong and revisit it in the final week.
This test is a calculator exam. Use the MathsWatch clip numbers to find short video lessons to help you revise each area.
Equipment needed for exam: Pen, pencil, ruler, rubber and calculator
Log in at: https://vle.mathswatch.co.uk/vle/ (login using the Google button)
Product of Primes — Clip 78 — Product of Primes
HCF & LCM with Venn — Clip 79 — Highest Common Factor (HCF)
HCF & LCM with Venn 2 — Clip 80 — Lowest Common Multiple (LCM)
Error Intervals — Clip 155a — Error Intervals (Rounding); Clip 155b — Error Intervals (Truncating)
Calculations with Upper and Lower Bounds — Clip 132 — Introduction to Bounds
Upper and Lower Bounds 2 — Clip 206 — Upper and Lower Bounds
Recurring Decimals — Clip 177 — Recurring Decimals to Fractions
Rules of Indices — Clip 131 — Index Notation
Rules of Indices (Negative) — Clip 154 — Negative Indices
Standard Form for Large and Small Numbers — Clip 83 — Standard Form *
Standard Form for Large and Small Numbers 2 — Clip 83 — Standard Form *
Multiplying and Dividing Standard Form — Clip 83 — Standard Form *
*The MathsWatch clip list only has one Standard Form clip — use Clip 83 for all three sub-topics.
Note: Multiplication/Division of Decimals, Calculating with Fractions, Fractions to Decimals and Estimation are not included here, as these are purely non-calculator skills and won't be tested on this paper.
Expanding Single Brackets — Clip 134a — Expanding and Simplifying Brackets: Single Set of Brackets
Expanding Double Brackets (FOIL) — Clip 134b — Expanding and Simplifying Brackets: Double Set of Brackets
Expanding Harder Double Brackets — Clip 178 — Expanding and Simplifying Brackets: Advanced
Single Brackets Factorisation Recap — Clip 94 — Simple Factorisation
Identities — Clip 158 — Identities
Solve Equations ax+b=cx+d and equations of the form (ax+b)/c=d and ax/b+c=d — Clip 135a — Solving Equations: Balancing
Solving and Creating (Geometry) — Clip 137 — Forming Formulae and Equations
Sample Space Recap — Clip 126 — Possibility Spaces
Probabilities from Venn Diagrams — Clip 186 — Probability using Venn Diagrams
Venn Diagrams and Set Notation — Clip 127a — Venn Diagrams: Introduction; Clip 127b — Venn Diagrams: Notation
Introduction to Tree Diagrams — Clip 151 — Tree Diagrams: Introduction
Tree Diagrams — Multiple Routes — Clip 175 — Tree Diagrams: Advanced
Solving Inequalities Harder — Clip 181b — Solving Linear Inequalities: Advanced
Changing the Subject — Clip 136 — Rearranging Simple Formulae
SEQUENCES
Nth Term Rule — Linear Sequence — Clip 103 — Finding the nth Term
Different Types of Sequences — Clip 104 — Special Sequences
Comparing Gradients — Clip 97 — Straight Line Graphs: The Gradient
Understanding y=mx+c — Clip 159a — Finding the Equation of a Straight Line: y=mx+c
Find the Equation of a Line from a Graph — Clip 159b — Finding the Equation of a Straight Line: Gradient and Coordinates
Pythagoras Recap — Clip 150b — Pythagoras' Theorem: An Algebraic Approach
Pythagoras in Context — Clip 150c — Pythagoras' Theorem: Line on a Graph
Log in to MathsWatch and search for the clip number listed next to each sub-topic. Watch the video, then try the linked worksheet or questions to check your understanding.
Read each question carefully before you start to answer it
Keep an eye on the time
Answer every question
Remember to show all your workings
Check your answers when you think you have finished
A little and often approach — just 15–20 minutes a day. This exam is cumulative, so Week 1 recaps earlier topics before moving on to new content.
Week 1 — Recap of Earlier Topics (Calculator-Appropriate)
Monday — Product of Primes (Clip 78) + HCF & LCM with Venn diagrams (Clips 79, 80)
Tuesday — Error Intervals (Clips 155a, 155b) + calculations with upper and lower bounds (Clip 132)
Wednesday — Upper and lower bounds 2 (Clip 206) + recurring decimals (Clip 177)
Thursday — Rules of indices (Clip 131) + negative indices (Clip 154)
Friday — Standard form: large/small numbers and multiplying/dividing (Clip 83) + full mixed recap
Weekend (optional, 10 mins) — Redo any questions from earlier topics you found tricky
Week 2 — Expressions, Identities & Equations
Monday — Expanding single and double brackets (Clips 134a, 134b)
Tuesday — Expanding harder double brackets + factorisation recap (Clips 178, 94)
Wednesday — Identities (Clip 158)
Thursday — Solving equations ax+b=cx+d, including fraction forms, + solving/creating geometry equations (Clips 135a, 137)
Friday — Mixed recap: 2 questions from each clip covered this week
Weekend (optional, 10 mins) — Mixed recap: 2 questions from each day this week
Week 3 — Probability, Inequalities, Sequences, Graphs, Pythagoras + Full Recap
Monday — Sample space recap + Venn diagrams and set notation (Clips 126, 186, 127a, 127b)
Tuesday — Tree diagrams (Clips 151, 175) + solving inequalities harder (Clip 181b)
Wednesday — Changing the subject (Clips 136) + sequences (Clips 103, 104)
Thursday — Graphs: gradients and y=mx+c (Clips 97, 159a, 159b)
Friday — Pythagoras (Clips 150b, 150c) + full mixed recap across all topics
Weekend before the test — Light review only: reread key notes, no new content
Tips
Short, daily sessions beat one long cram — aim for consistency over length.
After each clip, try a few questions without looking at notes, then check.
Keep a running list of anything you get wrong and revisit it in the final week.
You can use a calculator for this exam, but still show all your working.
This assessment has two papers — Paper 1 and Paper 2 — and covers everything taught this year. Use the MathsWatch clip numbers below to find short video lessons to help you revise each area.
Equipment needed for exam: Pen, pencil, ruler, rubber and calculator
Log in at: https://vle.mathswatch.co.uk/vle/ (login using the Google button)
Product of Primes — Clip 78 — Product of Primes
HCF & LCM with Venn — Clip 79 — Highest Common Factor (HCF)
HCF & LCM with Venn 2 — Clip 80 — Lowest Common Multiple (LCM)
Multiplication of Decimals — Clip 66a — Multiplying Decimals
Division of Decimals — Clip 66b — Dividing Decimals
Estimation — Clip 91 — Estimating Answers
Error Intervals — Clip 155a — Error Intervals (Rounding); Clip 155b — Error Intervals (Truncating)
Calculations with Upper and Lower Bounds — Clip 132 — Introduction to Bounds
Upper and Lower Bounds 2 — Clip 206 — Upper and Lower Bounds
Calculating with Fractions — Clip 71 — Adding and Subtracting Fractions; Clip 73 — Multiplying Fractions; Clip 74 — Dividing Fractions
Fractions to Decimals — Clip 84 — Decimals and Fractions
Recurring Decimals — Clip 177 — Recurring Decimals to Fractions
Rules of Indices — Clip 131 — Index Notation
Rules of Indices (Negative) — Clip 154 — Negative Indices
Standard Form for Large and Small Numbers — Clip 83 — Standard Form *
Multiplying and Dividing Standard Form — Clip 83 — Standard Form *
*The MathsWatch clip list only has one Standard Form clip — use Clip 83 for all three sub-topics.
Expanding Single Brackets — Clip 134a — Expanding and Simplifying Brackets: Single Set of Brackets
Expanding Double Brackets (FOIL) — Clip 134b — Expanding and Simplifying Brackets: Double Set of Brackets
Expanding Harder Double Brackets — Clip 178 — Expanding and Simplifying Brackets: Advanced
Single Brackets Factorisation Recap — Clip 94 — Simple Factorisation
Identities — Clip 158 — Identities
Solve Equations ax+b=cx+d and equations of the form (ax+b)/c=d and ax/b+c=d — Clip 135a — Solving Equations: Balancing
Solving and Creating (Geometry) — Clip 137 — Forming Formulae and Equations
Sample Space Recap — Clip 126 — Possibility Spaces
Probabilities from Venn Diagrams — Clip 186 — Probability using Venn Diagrams
Venn Diagrams and Set Notation — Clip 127a — Venn Diagrams: Introduction; Clip 127b — Venn Diagrams: Notation
Introduction to Tree Diagrams — Clip 151 — Tree Diagrams: Introduction
Tree Diagrams — Multiple Routes — Clip 175 — Tree Diagrams: Advanced
Solving Inequalities Harder — Clip 181b — Solving Linear Inequalities: Advanced
Changing the Subject — Clip 136 — Rearranging Simple Formulae
Nth Term Rule — Linear Sequence — Clip 103 — Finding the nth Term
Different Types of Sequences — Clip 104 — Special Sequences
Comparing Gradients — Clip 97 — Straight Line Graphs: The Gradient
Understanding y=mx+c — Clip 159a — Finding the Equation of a Straight Line: y=mx+c
Find the Equation of a Line from a Graph — Clip 159b — Finding the Equation of a Straight Line: Gradient and Coordinates
Pythagoras Recap — Clip 150b — Pythagoras' Theorem: An Algebraic Approach
Pythagoras in Context — Clip 150c — Pythagoras' Theorem: Line on a Graph
Simplify a Ratio & Splitting into a Ratio — Clip 38 — Introduction to Ratio
Solving Problems Using Ratios — Clip 165a — Ratio Questions: Standard Questions; Clip 106a — Sharing Using Ratio
Financial Maths — Currency Conversions — Clip 105 — Exchanging Money
Parallel Lines Recap and Simple Multistep — Clip 120 — Angles and Parallel Lines
Polygons — Interior and Exterior Angles — Clip 123 — Angle Sum of Polygons
SOHCAHTOA — Clip 168 — Trigonometry
Frequency Tables — Clip 65a — Frequency Tables and Diagrams
Averages Recap — Clip 62 — Averages and the Range
Mean from Ungrouped Frequency Table — Clip 130a — Averages from a Table: Basics
Mean from Grouped Frequency Table — Clip 130b — Averages from a Table: Estimate for the Mean
Draw and Interpret Pie Charts — Clip 128a — Representing Data: Pie Charts
Scatter Graphs, Correlation & Lines of Best Fit — Clip 129 — Scatter Diagrams
Non-Calculator Percentage Increase and Decrease — Clip 108a — Increase/Decrease by a Percentage *
Multipliers — Clip 108a — Increase/Decrease by a Percentage *
Reverse Percentages Without a Calculator 1 — Clip 109 — Reverse Percentage Problems
*The multiplier method is taught within Clip 108a — use the same clip for both sub-topics.
Log in to MathsWatch and search for the clip number listed next to each sub-topic. Watch the video, then try the linked worksheet or questions to check your understanding.
Read each question carefully before you start to answer it
Keep an eye on the time
Answer every question
Remember to show all your workings
Check your answers when you think you have finished
A little and often approach — just 15–20 minutes a day.
Week 1 — Number, Estimation & Errors, Fractions & Decimals, Indices & Standard Form
Monday — Primes & Calculations: Product of Primes, HCF & LCM, multiplying/dividing decimals (Clips 78, 79, 80, 66a, 66b)
Tuesday — Estimation & Errors: estimation, error intervals, bounds (Clips 91, 155a, 155b, 132, 206)
Wednesday — Fractions & Decimals: calculating with fractions, fractions to decimals, recurring decimals (Clips 71, 73, 74, 84, 177)
Thursday — Indices & Standard Form: rules of indices, negative indices, standard form (Clips 131, 154, 83)
Friday — Full mixed recap of this week's topics
Weekend (optional, 10 mins) — Quick self-test: try one question from each day without looking at notes
Week 2 — Expressions & Identities, Equations, Inequalities, Sequences, Graphs
Monday — Expanding brackets + factorisation recap (Clips 134a, 134b, 178, 94)
Tuesday — Identities + solving equations (Clips 158, 135a, 137)
Wednesday — Solving inequalities harder + changing the subject (Clips 181b, 136)
Thursday — Sequences + graphs: gradients and y=mx+c (Clips 103, 104, 97, 159a, 159b)
Friday — Full mixed recap of this week's topics
Weekend (optional, 10 mins) — Quick self-test: try one question from each day without looking at notes
Week 3 — Pythagoras, Ratio, Angles, Trigonometry
Monday — Pythagoras: recap and in context (Clips 150b, 150c)
Tuesday — Ratio: simplifying/splitting, solving problems, financial maths (Clips 38, 165a, 106a, 105)
Wednesday — Angles: parallel lines recap, polygons interior/exterior angles (Clips 120, 123)
Thursday — Trigonometry: SOHCAHTOA (Clip 168)
Friday — Full mixed recap of this week's topics
Weekend (optional, 10 mins) — Quick self-test: try one question from each day without looking at notes
Week 4 — Probability, Collecting Data, Averages, Representing Data, Percentages + Full Recap
Monday — Probability: sample space, Venn diagrams, tree diagrams (Clips 126, 186, 127a, 127b, 151, 175)
Tuesday — Frequency tables (Clip 65a)
Wednesday — Averages: recap, mean from ungrouped/grouped frequency tables (Clips 62, 130a, 130b)
Thursday — Representing data: pie charts, scatter graphs/correlation/lines of best fit (Clips 128a, 129)
Friday — Percentages: non-calculator increase/decrease, multipliers, reverse percentages (Clips 108a, 109) + full mixed recap across all topics
Weekend before the exam — Light review only: reread key notes, no new content
Tips
Short, daily sessions beat one long cram — aim for consistency over length.
After each clip, try a few questions without looking at notes, then check.
Keep a running list of anything you get wrong and revisit it in the final week.
Practise both with and without a calculator, since this exam has two papers.