Welcome to our feature on the 2025 CAT4 Quantitative Reasoning skills and how to practice these with our CAT4 quantitative reasoning tests. This is specifically designed to improve your quantitative reasoning skills.

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TOP CAT4 quantitative reasoning skills tips

Here’s School Entrance Tests‘s 2025 CAT4 Sample Test.

Our popular quantitative reasoning CAT4 practice test samples

Our CAT4 video series.

CAT4 Quantitative Reasoning skills Test Guides for each school age group

Here are the respective CAT4 Year level links below:

Leveraging CAT4 pupils’ Numerical Reasoning Skills

  • The CAT4 Quantitative Reasoning  Battery has been designed to be minimally reliant on mathematical  knowledge.
  • CAT4 Number Analogies test requires only basic arithmetical knowledge, and parallels the analogy tests in the CAT4  Verbal and CAT4 Nonverbal ReasoningBatteries.
  • The CAT4 Number Series test focuses on the identification of relationships between the elements of the questions, though basic arithmetical knowledge is necessarily required too.
  • Thus, the Quantitative Reasoning Battery will give a genuine indication of most students’ ability to think with numbers. Except for children with particularly low arithmetic skills.

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Rob Williams

Feel free to contact our Founder, Rob Williams, who is a specialist CAT4 test designer.

An Associate Fellow of the British Psychological Society, Rob Williams is a Chartered Psychologist with over 25 years of experience working and designing tests.

He is also the author of five psychometrics books and has worked for the  school entrance test publishers ISEB, Hodder and GL Assessment, the CAT4 publisher.

Here’s our popular You Tube channel‘s CAT4 video guide.

Standardized CAT 4 scores for UK pupils

For each CAT 4 test students obtain a raw score which indicates the number of CAT4 questions they answered correctly.

These CAT4 raw scores are interpreted by comparing them to the performance of other students of the same chronological age group using what are referred to as ‘normative scores’.

Three types of normative score are provided for the interpretation of performance: Standard Age Scores (SAS); National Percentile Rank (NPR) by age; and stanines (SQ by age.

  • CAT4 Standard Age Scores are shown on a standardised score scale where the average for each age group is set to 100 and the standard deviation set to 15.‘ This means that a student who gains the same SAS on two different batteries has done equally well on both, compared to others of the same age.
  • The CAT4 National Percentile Rank indicates the proportion of students of the same age who have scored the same as or below the student in question.
  • For example, a student who achieves a percentile rank of 84 has scored equal to or better than 84% of students in the same age band; only approximately 16% of students achieved a higher score on this test.

CAT4 Quantitative Reasoning sample questions

Here are some freely available example CAT4 quantitative reasoning questions: