A MathedUp practice collection, not an exam paper. Every question is original MathedUp material.
Scan to open this sitting
3D Pythagoras & trig
Topic practice
Name
ClassDate
Before you start
Write in black pen. Draw graphs and diagrams in pencil.
Write each answer in the space under its question.
Show your working: a correct method can earn marks even when the answer is wrong.
Questions marked need a calculator.
About this exam
Marks for each part are in brackets, like (3).
Diagrams are NOT accurately drawn, unless otherwise indicated.
Read each question through once before you start writing.
Original MathedUp practice material: a topic collection, not an exam paper and not modelled on the format of one. Not affiliated with, endorsed by or produced by any exam board.
Sitting · www.mathedup.co.uk
Higher papers also test Foundation-level questions, so All is the whole topic.
1mark
1Foundation
1 of 50
3D Pythagoras and trigonometry exam questions for GCSE maths, with worked solutions
Practise 3D Pythagoras and trigonometry with exam questions written the way GCSE Higher papers test them: finding the diagonal of a cuboid or cube, the angle between a line and a plane, the angle at the base of a pyramid or a prism, and a volume that comes from a length found in a solid. Every question comes with a worked solution and an answer, and each solution is drawn on the same solid so you can see which right-angled triangle is doing the work. Remix gives you a fresh version with new numbers whenever you want another go.
21 questions: 21 Higher. Every question has a worked solution and an answer. Type your answers in and the page marks them as you go.
What the questions cover
Finding the space diagonal of a cuboid or a cube
Deciding whether an object fits inside a box, and how much sticks out
Finding the angle between a line and a plane in a cuboid
Finding angles in a pyramid with a square or rectangular base
Finding angles and lengths in a triangular prism, including a point that divides an edge in a ratio
Finding a volume from an angle and a length in a pyramid, cuboid or prism
Using exact values of sine and cosine without a calculator in a 3D problem
How to use this page
Remix gives you a new version of the question in front of you, with new numbers.
New sitting refreshes every question at once.
Solution shows the full working, and Answer shows just the answer.
All questions lists the whole collection, and Scroll puts every question on one page.
Original MathedUp questions, written to practise the skills GCSE papers test. These are not past exam papers, and MathedUp is not affiliated with any exam board.
