240 practice questions with full explanations, for ages 10 to 12.
Every question. One true answer.
Start here: the four kinds of 3D question, 200 in all, with four options each.
See Book 1
Harder questions with five options each, and two timed tests: 240 in all.
You are hereEach section starts with what to do, three tips and two worked examples, then 50 questions in sets of 10 that get harder as you go, each set with a score box. The book ends with two timed tests of 20 mixed questions. The pictures below are real questions from the book.
Each net folds up to make a cube, with the patterns on the outside. Find the one cube, out of five, that the net could make. Most patterns in this book point one way, so check which way each one points as well as where it is. From Set 4 the question turns round: four cubes can be made, and you find the one that cannot.
Each shape is made of the number of cubes stated, and every cube sits on the table or on top of another cube. Some cubes may be hidden, but the number of cubes tells you where they must be. Arrow F marks the front and arrow S the side. Find the view asked for.
All the shapes are made of 6 cubes joined face to face. Find the one option that is the first shape turned around. A mirror image does not count.
A square of paper is folded two or three times as shown, then two holes are punched through all the layers. Find the paper as it looks when it is opened out flat.
A new look, harder questions and a timed finish, for children who are ready to go further.
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.
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.
The free sample has the page on how to read the drawings and, from each section, its opening pages, two worked examples and first 10 questions, with the answer key and explanations for all 40.
No sign-up needed. Print it, or use it on screen.
The same 240 questions, as a paperback or as a PDF to print at home.
£5.99
Children aged 10 to 12 who are ready for harder questions, 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.
Book 1: Foundation, for ages 9 to 11, starts from the beginning. Book 2: Advanced, for ages 10 to 12, has harder questions, five options in every question and two timed tests. If the free sample of Book 2 feels hard, start with Book 1.
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. Keep the timed tests for the end, when the sections feel comfortable.
Yes. You may print or copy pages for your own family or pupils. Please do not share the file itself.
No. This book is not affiliated with, or endorsed by, any 11+ test provider or exam board.
It comes from the Latin unum tantum, ‘only one’: every question has only one right answer.
Every answer was checked twice, but if something looks wrong, please write to support@bitygan.com.