Year 8 Term 1 Week 12 - Assessment Week
- Sallyann Clark
- 2 days ago
- 4 min read
Week 12: End of Term Assessment – Ratio, Fractions, Percentages, Graphs, Data & Probability
Introduction
This week is a celebration of everything you’ve learned this term. You’ll revise ratio, fractions, percentages, graphs, data handling, and probability through fun online activities and short practice worksheets. At the end of the week, you’ll complete a short assessment covering all of these skills.
What I should already know
Ratio and Proportion: Simplifying ratios, using scale factors, direct and inverse proportion, proportional division.
Fractions and Percentages: Adding, subtracting, multiplying and dividing fractions, working with mixed numbers, converting between fractions/percentages/decimals, finding percentages of amounts, percentage increase/decrease, and reverse percentages.
Graphs and Data: Coordinates in all four quadrants, equations of lines (y=mx+cy=mx+cy=mx+c), quadratic and reciprocal graphs, frequency tables, scatter graphs, and correlation.
Probability: Using sample spaces, Venn diagrams, two-way tables, and the product rule.
Real-world application – Why it matters
All of these skills combine to help us solve real-world problems: from sharing costs fairly, to interpreting discounts, to predicting trends in data, to calculating risk. Being confident with ratio, fractions, percentages, graphs, and probability gives you the tools to think logically, make predictions, and solve problems in everyday life.
Day 1 – Revision: Ratio & Proportion
What am I learning today?
I will be revising ratio, scale, and proportion.
Revision Reminder
Remember, ratios can be simplified just like fractions by dividing by the highest common factor.
Game
Play Maths Snacks - Ratio Rumble
Learn
Transum - Ratio Clues in the Clouds
Task
Transum - Ratio: Try to complete as many levels as you can. I would expect it to start getting hard at level 4-5, and you should be able to have a good go at level 6. Level 6 is a good level to stop at.
If you are finding this difficult, take some time to go over the lessons on ratio (weeks 1-2).
Day 2 – Revision: Fractions & Percentages
What am I learning today?
I will be revising calculations with fractions and percentages.
Revision Reminder
Remember, multiply fractions by multiplying top and bottom; divide by flipping the second fraction.
Game
Play Maths-play - Who wants to be a hundredaire
Task
Transum - Fraction and Percentages Pairs Game.
Play all the games not just one.
Conclusion
You can add, subtract, multiply, and divide fractions, and apply percentages in real-life contexts.
Day 3 – Revision: Graphs & Coordinates
What am I learning today?
I will be revising linear and non-linear graphs.
Revision Reminder
Remember that straight lines follow y=mx+c, quadratics follow y=x^2 (^2 means to the power of 2 or squared), and reciprocals follow y=1/x.
Game
Maths Games - Interpret Line Graph.
Task
Transum - Level 1-2 of Graph Match.
Conclusion
You can plot, interpret, and compare linear and non-linear graphs.
Day 4 – Revision: Data & Probability
What am I learning today?
I will be revising data representation and probability.
Revision Reminder
Remember that probability = number of favourable outcomes ÷ total outcomes.
Game
Play MrNussbaum - Probability Fair
Task
Complete as many levels as you can of Transum - Probability.
Conclusion
You can interpret data, describe correlation, and calculate probabilities.
Day 5 – Final Term Assessment
Answer the questions in your journal. Use the heading - End of Term Assessment.
Q1 – Ratio & Scale (8 marks)
a) Simplify the ratio 24:36. (2)
b) A recipe uses flour and sugar in the ratio 3:2. If 250 g of flour is used, how
much sugar is needed? (2)
c) A map has a scale of 1 : 50,000. A road measures 8 cm on the map. How
long is the road in real life, in km? (4)
Q2 – Fractions (8 marks)
a) Work out 3/4 + 5/6. (2)
b) Work out 7/8 − 3/10 (2)
c) Work out 4/5 × 3/7 (2)
d) Work out 5/6 ÷ 2/9 (2)
Q3 – Percentages (8 marks)
a) Find 15% of 240. (2)
b) A jacket costing £60 is reduced by 20%. What is the new price? (2)
c) A phone costs £480 and increases in price to £540. What is the percentage increase? (2)
d) After a 15% discount, a bike costs £170. What was the original price? (2)
Q4 – Graphs (8 marks)
a) Plot the straight line graph for y=2x+1
when x=−2, −1, 0, 1, 2 (3)
b) Find the equation of the line passing through (1, 3) and (3, 7). (5)
Q5 – Data Handling (8 marks)
The heights (cm) of 10 pupils are:150, 152, 155, 160, 162, 165, 170, 172, 175, 180
a) Construct a grouped frequency table using intervals 150–159, 160–169, 170
179, 180–189. (3)
b) Plot a scatter graph of the data below and describe the correlation. (5)
Height (cm) | Shoe Size (UK) |
150 | 4 |
155 | 5 |
162 | 5 |
167 | 6 |
170 | 7 |
175 | 8 |
180 | 9 |
Q6 – Probability (8 marks)
a) A bag contains 3 red, 4 blue, and 5 green counters. One is chosen at random.
P(Red)? (1)
P(Blue)? (1)
P(Not Green)? (2)
b) A spinner has 4 equal sections labelled A, B, C, D. It is spun twice.
Write the sample space. (2)
Find P(getting at least one A). (2)
Marking Rubric (GCSE Levels 1–9)
Levels 1–3 – Needs More Work
What it means: You can attempt simple ratio, fraction, and probability questions but struggle with multi-step problems.
Next steps: Revisit basics: fraction operations, simple ratio, and plotting points. Use BBC Bitesize and Khan Academy for revision.
Levels 4–6 – Good, but needs revision in places
What it means: You are confident with most topics but may make errors in harder questions like reverse percentage, equations of lines, or interpreting scatter graphs.
Next steps: Review mistakes carefully. Use your maths journal to make useful notes on what you need to work on.
Levels 7–9 – Excellent
What it means: You demonstrate a strong understanding across the whole unit, including more challenging problems.
Next steps: Keep practising extension questions. Try GCSE past paper questions on graphs, probability, and percentages for a challenge.
Conclusion
This assessment shows how much progress you’ve made over the whole term. Whether you score at Level 1 or Level 9, you now know what to focus on next. Remember that every mistake is a step towards mastery!
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