Uploaded October 2025 | Updated September 2026, 2 weeks ago

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Sign up for my PAT/ESAT courses: zphysicslessons.net/physics-tutoring

Let's do some preparation mathematics questions for the ESAT exam for Cambridge, Imperial and UCL and also for the PAT entrance exam for Oxford University.

In this video I have covered the 2017 NSAA/ENGAA Maths 1 and the 2023 PAT Maths quetstions.

Original papers can be found here
NSAA: uat-wp.s3.eu-west-2.amazonaws.com/wp-content/uploads/2024/05/07120538/NSAA_2017_S1_QuestionPaper.pdf
PAT 2023: physics.ox.ac.uk/system/files/file_attachments/PAT-2023.pdf

We will be covering the following mathematical topics.
00:00 Simplifying square roots
01:00 Inequalities
03:40 Rearrangements
04:38 Translating to algebra
07:21 Proportionality
09:05 Sequences and inequalities
11:04 Simplifying
12:48 Geometry - parallelograms
16:12 Simplifying Powers
18:36 Solving via tables
20:20 Geometry and exterior angles of a polygon
23:12 Bearings
25:33 Hands of clocks and angular speed
29:04 Cost problems
31:19 Probability
33:24 Finding areas
35:38 Density mass and volume
37:17 Hexagon formulae
40:30 PAT Problem 1
41:01 PAT Sequences
43:55 PAT Transformations
44:50 PAT Binomial Trick
46:38 PAT Integration
49:48 PAT Sequences