Free Online 11+ Maths Tutoring – Open to All

Free Online 11+ Maths Tutoring – Open to All Hi! I’m Rithvik Muthuvelu , a GCSE student at King Edward’s School, Birmingham , and I’m offering free weekly online maths sessions to help students prepare for the 11+ entrance exams . These sessions are open to anyone who wants to improve their maths skills—no school restrictions. What You’ll Get Free weekly online maths classes Focused 11+ preparation : problem-solving, arithmetic, word problems, exam strategies Small-group format for better interaction Ideal for Year 4 and Year 5 students How to Join Weekly Session: Saturdays at 2:00 PM Google Meet Link: https://meet.google.com/nrk-iwmh-gij Contact Email: rithvikmu1@gmail.com If your child is preparing for the 11+ and would like extra support, feel free to join the class or get in touch. Looking forward to helping more students learn and grow! — Rithvik Muthuvelu  

Geometry


This regular pentagon has a square inside with it's vertices touching the
midpoints of the pentagon.
Find the value of the missing angle.

Comments

  1. We know that the square is touching the midpoints of the pentagon so the triangle that uses a side of the square would be isosceles. Also, We know that each angle of a pentagon is 108° so the other angles of that isosceles triangle would be 36°.

    If you go to the angle of the triangle closest to the red angle we are trying to find, then you will see that if you add the 36° of the triangle to the 90° of the square, you will get 126°. Also, after you have the red angle, 126° + the red angle would give you 180° because it is on a straight line. So now, all you need to do is 180° - 126° which is 54° so 54° is your answer.

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