50 questions
Cube nets
Each net folds up to make a cube, with the patterns on the outside. Find the one cube, out of four, that the net could make.
Book 1: Foundation
3D Spatial Reasoning
200 practice questions with full explanations, for ages 9 to 11.
Every question. One true answer.
Four kinds of question, 50 of each
Each section starts with what to do, three tips and two worked examples, then 50 questions in sets of 10, each set with a score box. The pictures below are real questions from the book.
50 questions
Views of 3D shapes
Each shape is made of the number of cubes stated, and every cube sits on the table or on top of another cube. In this book every cube can be seen. Arrow F marks the front. Find the view asked for.
50 questions
Turning 3D shapes
All the shapes are made of 5 cubes joined face to face. Find the one option that is the first shape turned around. A mirror image does not count.
50 questions
Paper folding
A square of paper is folded as shown, then a hole is punched through all the layers. Find the paper as it looks when it is opened out flat.
Quick to mark, with every answer explained
Mark a set in a minute with the one-page answer key, then read why the right answer is right and why each of the others is wrong, so a mistake becomes something to learn from.
Every question has exactly one right answer
Each question was made from exact geometry and checked by computer, twice, by two independent methods, before it was printed. A question was used only if both methods found exactly one correct option and the drawing itself settled the answer.
- 2independent checking methods for every question
- 803faulty questions planted on purpose to test the checks: all caught
- 174candidate questions rejected while the book was made
- 534ways to join 5 cubes, all checked for the turning questions
Try 40 questions free
The free sample has each section's opening pages and two worked examples, then its first 10 questions, with the answer key and explanations for all 40.
- Cube nets: questions 1 to 10
- Views of 3D shapes: questions 51 to 60
- Turning 3D shapes: questions 101 to 110
- Paper folding: questions 151 to 160
No sign-up needed. Print it, or use it on screen.
Get the book
The same 200 questions, as a paperback or as a PDF to print at home.
Paperback
The printed book, A4
- 86 pages, black and white, on white paper
- Room to work in the book itself
- Printed and posted by Amazon
PDF edition
A download to print at home, A4
£5.99
- 86 pages and a colour cover
- Print the pages you need, for your own family or pupils
- Tap the contents or the answer key to jump to a page
Questions
Who is this book for?
Children aged 9 to 11, especially those preparing for the 11+, where many non-verbal reasoning papers include 3D and spatial questions. The questions are original and are not taken from any test.
How should we use it?
Work through a set of 10, mark it with the quick answer key, then read the explanations for any mistakes. Short, regular sessions work better than long ones.
Can I print the PDF?
Yes. You may print or copy pages for your own family or pupils. Please do not share the file itself.
Is it linked to an exam board or test provider?
No. This book is not affiliated with, or endorsed by, any 11+ test provider or exam board.
What does UNATUM mean?
It comes from the Latin unum tantum, ‘only one’: every question has only one right answer.
Found something that looks wrong?
Every answer was checked twice, but if something looks wrong, please write to [email protected].