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Free Year 6 Selective test Mathematical Reasoning practice exams

30 free practice exams in the style of the real Selective test test, each about 35 questions in 40 minutes, no calculator.

954 free practice exams.

Practise Year 6 Mathematical Reasoning now

The practice exams

  1. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 1 (35 questions, 40 minutes)
  2. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 2 (35 questions, 40 minutes)
  3. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 3 (35 questions, 40 minutes)
  4. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 4 (35 questions, 40 minutes)
  5. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 5 (35 questions, 40 minutes)
  6. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 6 (35 questions, 40 minutes)
  7. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 7 (35 questions, 40 minutes)
  8. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 8 (35 questions, 40 minutes)
  9. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 9 (35 questions, 40 minutes)
  10. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 10 (35 questions, 40 minutes)
  11. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 11 (35 questions, 40 minutes)
  12. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 12 (35 questions, 40 minutes)
  13. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 13 (35 questions, 40 minutes)
  14. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 14 (35 questions, 40 minutes)
  15. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 15 (35 questions, 40 minutes)
  16. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 16 (35 questions, 40 minutes)
  17. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 17 (35 questions, 40 minutes)
  18. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 18 (35 questions, 40 minutes)
  19. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 19 (35 questions, 40 minutes)
  20. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 20 (35 questions, 40 minutes)
  21. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 21 (35 questions, 40 minutes)
  22. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 22 (35 questions, 40 minutes)
  23. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 23 (35 questions, 40 minutes)
  24. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 24 (35 questions, 40 minutes)
  25. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 25 (35 questions, 40 minutes)
  26. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 26 (35 questions, 40 minutes)
  27. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 27 (35 questions, 40 minutes)
  28. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 28 (35 questions, 40 minutes)
  29. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 29 (35 questions, 40 minutes)
  30. Selective High School Placement Test (Year 6) · Mathematical Reasoning · Practice exam 30 (35 questions, 40 minutes)

Try a question

What is the median of 3, 7, 8, 10 and 12?

  1. 7
  2. 8
  3. 9
  4. 10
Answer

B. 8. The numbers are in order. The middle value of the five numbers is 8.

What the real test covers

The NSW Selective High School Placement Test is sat in Year 6 by students applying for a place in Year 7 at a selective high school. It has four tests: Reading, Mathematical Reasoning, Thinking Skills and Writing.

Each practice exam: about 35 questions in 40 minutes, no calculator.

Kinds of question: 100% multiple choice.

Topics in these practice exams

How to prepare with ExamUp

  1. Warm up by topic. Do 10 Mathematical Reasoning questions at a time in Quick practice: each answer is checked straight away, with no timer and no sign-up.
  2. Sit one whole paper. Do a full practice exam in one go, timed like the real Selective test paper, so the day itself holds no surprises.
  3. Fix what you missed. Your results show where the marks went, topic by topic. Practise just the questions you got wrong, with an explanation for each.
  4. Go again a week later. Do another paper and compare. A free account keeps every result, and a parent can follow along live.

Quick questions

Are these Year 6 Selective test Mathematical Reasoning practice exams free?
Yes. All 30 practice exams here are free, with no plan, trial or card. You can try a question on this page and practise by topic without an account; a free account keeps your results.
How long is each practice exam?
Each one is about 35 questions in 40 minutes, no calculator.
Are these the real Selective test papers?
No. ExamUp is independent and is not connected with the NSW Department of Education. Every question is written new in the style of the real Selective test papers. Links to the official past papers are on our Past papers page.
What topics do the questions cover?
Most often: Area and perimeter, Three-dimensional objects and nets, Vocabulary in context, Figurative language and tone, Factors, multiples and number patterns. That is from the questions in these practice exams.
How are the answers marked?
Every answer is marked the moment you finish, with an explanation for each question and a simpler version a tap away.

More practice

All Selective High School practice · Every exam · Official past papers