Verbal and non-verbal reasoning tests are used in secondary school selection, and in some schools they are also part of CATs at the beginning of Year 7.
Reasoning skills are a form of critical thinking; the tests are designed to assess a child’s ability with words, numbers, shapes and space. While these skills can be developed and practised, they are non curriculum-based skills, so aren’t taught as part of KS2.
Here are examples of various assessments you may find helpful:
bond 11 plus non verbal reasoning free test paper
Master Brain Academy NVR Sample 1 27Nov10
non verbal reasoning Non_Verbal_Reasoning_10_11_sample
NVR_familiarisation_booklet Verbal reasoning 11+Paper A 2014