11+ Maths Skills: Probability and Combinations
140 questions on Probability and Combinations alone, with every wrong option traced to the exact mistake behind it, so you fix the cause, not the symptom.
- 140questions
- 6timed tests
- 120minutes of practice
Try three real questions on this topic.
One from each difficulty band. Pick an answer, then press submit to see it marked and explained.
A bag holds only red counters. A counter is taken out without looking. How likely is it that the counter is red?
The diagram shows two bars divided into equal parts, with some parts shaded. Which fraction of bar A is shaded?
A school play needs one of 5 narrators, one of 4 musicians and one of 3 lighting operators. In how many different ways can the three roles be filled?
That is 3 of the 140 questions. Every one of the rest is marked the same way, with the worked solution and the mistake behind each wrong answer.
Add to basket · £19.99Why this pack works
- One topic, taken all the way, 140 questions on Probability and Combinations alone, not a handful buried in a mixed paper.
- Every wrong option traces to one specific, named mistake, not just marked “incorrect”.
- Marks itself. You never hand-mark 140 questions or line up an answer key.
- Difficulty climbs Bronze → Silver → Gold inside every test.
- Written for the 11+ maths syllabus every board tests, not tied to one region's schools.
- Works on any device, and the printable PDF is included at no extra cost.
Try a free timed maths test first.
Twenty questions in twenty minutes, in the GL format, marked the moment your child finishes, with a breakdown of which topics need work. No sign-up.
Is this right for your child?
Buy it if
- Your child keeps dropping marks on Probability and Combinations specifically
- They have met the topic in class and need it to become automatic
- You want 140 questions on one topic, not three buried in a mixed paper
Skip it if
- They have never been taught Probability and Combinations, this tests, it does not teach
- You want broad coverage before the exam, a mixed Maths Pack fits better
Watch the whole thing, question to result
Half a minute, start to finish, sitting it, and the results screen at the end.
Every screen in this video is the real exam engine, nothing staged or mocked up.
This is what every wrong answer gets
Three real questions from the pack, with the explanation exactly as it appears in the mark scheme, one Bronze, one Silver, one Gold.
A bag holds 3 red counters and 5 blue counters. One counter is taken at random. What is the probability that it is red?
The bottom of the fraction is every counter in the bag, not just the ones of the other colour.
A fair coin is tossed 60 times. About how many times would you expect it to land heads?
Expected frequency is the probability multiplied by the number of tries; here that is half of 60.
The spinner has ten equal sections. It is spun twice. What is the probability of landing on red both times, in its simplest form?
Simplify the single-spin probability before multiplying, and the arithmetic stays small.
Drill the topic until it stops costing marks.
140 questions across 6 timed tests, each with a worked solution. Yours permanently, no subscription.
We check the answers before you have to.
Most 11+ material asks you to take the answer key on trust. Ours is machine-checked and the check is tied to the questions by a content hash, edit a question and the build refuses to produce the pack until it has been verified again. That is a gate in the build, not a promise on a sales page.
Before you buy
What's in the pack
| Test | Difficulty | Questions | Timer |
|---|---|---|---|
| 1Skill Test 1 | Bronze → Silver → Gold | 25 | 20 min |
| 2Skill Test 2 | Bronze → Silver → Gold | 25 | 20 min |
| 3Skill Test 3 | Bronze → Silver → Gold | 25 | 20 min |
| 4Skill Test 4 | Bronze → Silver → Gold | 25 | 20 min |
| 5Skill Test 5 | Bronze → Silver → Gold | 25 | 20 min |
| ★Challenge Test | All Gold, the hardest questions | 15 | 20 min |
- Expected Frequency 18
- Probability as a Fraction 18
- Simple Probability 18
- Spinners and Dice 18
- Two-Event Problems 18
- Combinations 17
- Listing Outcomes 17
- Likelihood and Language 16
How it works
- Buy once. Your link and PDF download land straight away, no account, no subscription.
- Sit a test. Each of the 6 tests is timed and works in any browser, or print the PDF instead.
- See everything. It marks itself the moment you finish, with the worked solution and the named mistake behind every wrong option.
FAQs
Which exam is this for?
GL Assessment, FSCE and Quest. The 11+ maths syllabus is national, Probability and Combinations is on the syllabus for all of them. What differs is format. Every question here is five-option multiple choice against the clock, which mirrors GL and CEM-style papers directly. If your child sits a written-answer paper such as CSSE in Essex or an independent school's own, use these to build topic fluency and speed, then rehearse setting out working on that school's past papers.
Is this one topic only?
Yes, deliberately. All 140 questions are Probability and Combinations, spread across 8 sub-topics, so a weak area gets drilled properly rather than meeting three questions on it in a mixed paper.
Do I need to install anything?
No. It's a link that opens in the browser on a laptop, tablet or school Chromebook. The PDF is a normal download.
How long do I have access?
Permanently. It's a one-off purchase, not a subscription, and the PDF is yours to keep and reprint.