OCR GCSE Maths Paper 5 Higher June 2018 Solutions

Описание: OCR GCSE Maths Paper 5 (Higher Tier) – June 2018

This video is a complete, step-by-step walkthrough of the OCR GCSE Mathematics Paper 5 Higher Tier (June 2018) non-calculator paper.

Perfect for students revising for summer exams or resits, with clear methods and exam-ready reasoning to help you pick up every 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

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📌 What’s Covered in This Video:

✅ Add fractions → mixed number (simplest form)
✅ Standard form subtraction (match powers of 10)
✅ Inequality on a number line (direction + open circle)
✅ Vectors: add, scalar multiply & subtract
✅ Percentage of a mass (90% check using 10% method)
✅ Relative frequency: complete table + total games from difference
✅ Reverse percentage (115% → 100%) + find “how many more”
✅ Carpet tiles + packs of 10 + fitting cost (round up area)
✅ Two dice outcomes: why not a tree + sample space + P(sum=11)
✅ Cubic graph: complete table, draw curve, solve x³−3x=10
✅ Fuel gauge: full-tank distance + constant consumption assumption
✅ Similar right triangles: trig to find BD then Pythagoras for AB
✅ Indices: explain error with 64^(1/2) + correct fraction form
✅ Recurring decimals ↔ fractions (long division + algebra method)
✅ Volume: cylinder = cone with ratio r:h = 1:4
✅ Algebra proof: show expression is a multiple of 6
✅ Circle theorems: alternate segment + cyclic quadrilateral angles
✅ Expand 3 brackets to find a, b, c, d
✅ Perpendicular line through (0,6) + intersections of graphs
✅ Histogram: frequency density + interpreting grouped data + assumptions
✅ Surds/indices: √2 powers, solve for n, rationalise to a + b√2

TIMESTAMPS

0:00 Intro
0:07 Q1 Fractions (mixed number) + standard form
2:56 Q2 Inequality & number line (check solution)
4:01 Q3 Vectors (add + scalar & subtract)
4:56 Q4 90% carbohydrates check
5:56 Q5 Relative frequency table + total games
8:06 Q6 Reverse percentage (texts sent)
10:37 Q7 Tiles + packs + fitting cost (rounding up)
16:39 Q8 Dice sample space + probability sum = 11
20:58 Q9 Cubic table/graph + solve using y=10
24:12 Q10 Fuel gauge distance + assumption
26:54 Q11 Trig + Pythagoras with two triangles
31:23 Q12 Indices: 64^(1/2) error + correct value
32:31 Q13 Recurring decimal ↔ fraction conversions
35:00 Q14 Volumes equal (cylinder vs cone, ratio 1:4)
38:24 Q15 Proof: multiple of 6
40:37 Q16 Circle theorems (angles)
42:58 Q17 Expand & compare coefficients (find a,b,c,d)
49:22 Q18 Perpendicular line + intersections of graphs
53:27 Q19 Histogram + grouped-data reasoning/assumptions
1:00:21 Q20 √2 powers + solve n + rationalise surds

🎯 Who Is This For?

• Year 10 & 11 students preparing for OCR Higher Tier
• Students revising independently or with a tutor
• Teachers, parents & tutors supporting GCSE revision

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