
Forty fully worked exam-style questions on 3D Pythagoras and trigonometry for OCR GCSE (9-1) Higher Mathematics (J560), each solved line by line with a right-margin annotation on every step and the real OCR M/A/B/SC mark-scheme codes folded in, including the M3 to M1 cascade OCR uses for partial credit. Questions ramp through three graded sections (Easy, Standard, Challenging) and cover space diagonals of cuboids and cubes, the longest rod that fits in a box, perpendicular heights and volumes of pyramids and cones, the angle between a line and a plane, the angle between a face and the base, and the sine and cosine rules applied inside solids. Clean, labelled 3D diagrams sit next to every solid so students can see exactly which right-angled triangle to isolate. Built directly against the OCR J560 specification (content 10.05a to 10.05e) and calibrated on real OCR past papers, with a note that OCR provides no formula sheet, so Pythagoras, the trig ratios, the exact values and the sine and cosine rules must all be recalled from memory. Ideal for the calculator papers J560/04 and J560/06, for revision, homework, or in-class worked examples. Answers to 3 significant figures and angles to 1 decimal place, with exact surd forms where asked.
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