OCR GCSE Maths Paper 5 Higher June 2022 Summer Solutions

OCR GCSE Maths Paper 5 (Higher Tier) – June 2022 Summer Solutions

This video is a complete, step-by-step walkthrough of the OCR GCSE Mathematics Paper 5 Higher Tier (June 2022, Non-Calculator).

Perfect for students aiming for grades 6–9, this video explains every question clearly, using precise methods and exam reasoning to help you maximise marks.

🔗 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 1-to-1 GCSE Maths Tuition: [email protected]

📌 What’s Covered in This Video

✔ Pie chart criticisms & why 3D charts are unsuitable
✔ Percentage increase from line graph
✔ Bearings construction → tower location
✔ Standard form subtraction → dinosaur timeline
✔ Prime factor tree & √784
✔ Ratio with teaspoons/tablespoons
✔ Relative frequency table & expected total score
✔ SUVAT rounding → showing an incorrect estimate
✔ Rearranging formula to make t the subject
✔ Probability with red/blue/yellow marbles
✔ Constructions: angle bisector & perpendicular bisector
✔ Regions for 2 scoring points in sand-pit game
✔ Enlargement with scale factor 1.5
✔ Rotation 180° about (1,3)
✔ Inverse proportion to find y
✔ Area under speed–time graph → average speed
✔ Quadratic graph: sign change, root location & surds
✔ Venn diagram ratio → total students
✔ Conditional probability from Venn diagram
✔ Proving tan 30° = 1/√3 using geometry
✔ Converting recurring decimals to fractions
✔ Frame-making problem → quadratic → max number of frames
✔ Arc length of two sectors in terms of π and r
✔ Tangent to circle using gradients & perpendicularity

⏱️ TIMESTAMPS

0:00 Intro
0:10 Q1A Two criticisms of pie chart
1:32 Q1B % increase from line graph
3:20 Q2 Bearings construction → distance to tower
5:31 Q3A Why use standard form
6:12 Q3B Duration dinosaurs existed (standard form)
7:55 Q4A Prime factor power in 784
9:04 Q4B √784 using prime factors
9:56 Q5 Ratio 3 tsp = 1 tbsp → find n
11:27 Q6A Complete relative frequency table
12:44 Q6B Expected total score → is Morgan correct?
15:20 Q7A SUVAT rounding → show incorrect estimate
17:28 Q7B Rearranging formula for t
18:22 Q8 Probability with red/blue/yellow marbles
21:19 Q9 Constructions → 2-point scoring regions
27:56 Q10A Enlargement, scale factor 1.5
29:52 Q10B Describe transformation T → rotation
32:48 Q11 Inverse proportion: find y when x=10
34:01 Q12A Acceleration from speed–time graph
34:33 Q12B Average speed using area under graph
36:31 Q13A Substitute x=1
37:14 Q13A(ii) Why root lies between 0 and 1
38:30 Q13A(iii) Why iteration not appropriate
39:06 Q13B Express solution in A + √B
40:07 Q14A Venn diagram ratio → total students
42:42 Q14B Conditional probability
43:41 Q15 Prove tan30° = 1/√3
47:22 Q16 Recurring decimals → fractions
50:09 Q17 Max number of frames from wood length
56:13 Q18 Arc lengths in terms of π and r
1:01:04 Q19A Show point lies on circle
1:02:15 Q19B Equation of tangent

🎯 Who Is This For?

• Students aiming for grades 6–9 on OCR Higher Tier
• Year 10/11 preparing for mocks or final exams
• Teachers and tutors seeking full worked solutions
• Anyone wanting clear, exam-focused explanations

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