OCR GCSE Maths Paper 5 Higher November 2021 Autumn Solutions скачать в хорошем качестве

OCR GCSE Maths Paper 5 Higher November 2021 Autumn Solutions

OCR GCSE Maths Paper 5 (Higher Tier) – November 2021 (Autumn) This video is a complete, step-by-step walkthrough of the OCR GCSE Mathematics Paper 5 Higher Tier (November 2021). Ideal for students revising for mocks, resits, or higher-tier exam practice, this non-calculator paper is explained clearly with exam-ready methods so you can pick up every available mark. 🔗 DOWNLOADS & RESOURCES: 📄 Blank Question Paper (PDF): https://mathvault.io/ocr-gcse ✅ Official Mark Scheme (PDF): https://mathvault.io/ocr-gcse ✍️ Worked Solutions (PDF): https://mathvault.io/ocr-gcse 🎓 Book a 1-to-1 GCSE Maths Tuition: [email protected] 📌 What’s Covered in This Video: ✅ Convert a mixed number to an improper fraction & multiply fractions (mixed number answer) ✅ Prime factor decomposition in index form + solve an indices equation ✅ Percentages with units (litres → ml) to test a claim ✅ Scatter graphs: plot points, correlation, outlier improvement & percentage change, reliability of estimate ✅ Volume of a prism using area of cross-section × length ✅ Identify graphs for direct proportion and inverse proportion ✅ Solve an inequality and represent it on a number line ✅ Complete a table and draw a reciprocal graph y = 6/x ✅ Compound percentage increase (10% then 10%) without a calculator ✅ Estimate pressure using P = F/A with rounding to 1 s.f. ✅ Trigonometry (sin 30°) + ratio + Pythagoras to find a missing length ✅ Box plots: range, quartiles, 75% of data, median comparison & why conclusions may be unreliable ✅ Recurring decimals: fraction → recurring decimal and recurring decimal → fraction ✅ Similar solids: scale factor for volume (cube the linear scale factor) ✅ Surds: simplify and write in the form k√5 ✅ Venn diagrams: conditional probability from a subset ✅ Algebraic fraction simplification by factorising and cancelling ✅ Circle theorems: alternate segment theorem + cyclic quadrilateral + ratio of angles ✅ Equation of a circle centred at the origin using radius from a given point ✅ Rearranging simultaneous equations to write z in terms of x ✅ Sector: find angle from area, then arc length and perimeter in the form a + bπ ✅ Proof: show an expression in n is always even by expansion and factorising 2 TIMESTAMPS 0:00 Intro 0:05 Q1 Multiply fractions (mixed numbers) 1:38 Q2a Prime factors in index form (Is Asme correct?) 2:34 Q2b Indices equation (1/16 = 2^x) 3:24 Q3 Engine oil problem (ml, percentages, check 80% claim) 5:42 Q4 Scatter graph (plot points, correlation, improvement, % change, reliability) 11:11 Q5 Volume of a prism 13:26 Q6 Direct vs inverse proportion graphs 14:18 Q7a Solve inequality 4(x - 3) less than x 15:12 Q7b Inequality on a number line 15:54 Q8 Table and reciprocal graph y = 6/x 17:31 Q9 Compound percentage increase (10% then 10%) 19:28 Q10 Estimate pressure using P = F/A 21:27 Q11 Trig + ratio + Pythagoras in a quadrilateral (find BC) 27:20 Q12 Box plot questions (range, quartiles, median/reliability) 31:55 Q13a Fraction to recurring decimal (3/11) 33:14 Q13b Recurring decimal to fraction (0.48 recurring) 34:51 Q14 Similar solids (volume scale factor) 36:33 Q15 Surds in the form k√5 37:27 Q16 Venn diagram conditional probability 40:40 Q17 Algebraic fraction simplification 42:41 Q18 Circle theorems and ratio of angles 45:45 Q19 Equation of a circle centred at (0,0) 48:48 Q20 Write z in terms of x 51:30 Q21 Sector perimeter in the form a + bπ 56:43 Q22 Proof expression is always even 🎯 Who Is This For? • Year 10 & 11 students preparing for OCR Higher Tier • Students revising independently for mocks/resits • Teachers, parents & tutors supporting GCSE revision 👍 Like the video if it helped you, comment your questions below, and share with classmates! 👉 Subscribe for more full paper walkthroughs, exam tips, and non-calculator strategies. #gcsemaths #ocrmaths #mathsrevision #highertier #paper5 #ocrgcse #noncalculatorpaper #exampractice #mathswalkthrough #mathstutorial #keystage4 #gcse2021 #autumn2021 #mathshelp #maths2026 #gcse2026