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
Each sheet of paper in a book has two pages (one on each side). We need to find how many sheets are missing if the sum of the missing page numbers is 98.
ReplyDeleteStep 1: Understanding the sum of two consecutive pages
Each missing sheet contains two consecutive pages. If a sheet has pages n and n+1, their sum is:
n + (n+1) = 2n + 1
This means that the sum of any missing sheet’s pages is always an odd number.
Step 2: Finding how many sheets are missing
Since 98 is an even number, it must be made up of multiple sums of odd numbers. The sum of two odd numbers is always even, so the number of missing sheets must be even.
Step 3: Checking possibilities
Let’s check if two sheets can be missing:
A missing sheet with pages (23,24) has a sum of 47.
Another missing sheet with pages (25,26) has a sum of 51.
47 + 51 = 98.
So, the missing pages are (23,24) and (25,26).
Final Answer:
Sophie is missing 2 sheets.