Free Online 11+ Maths Tutoring – Open to All

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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  
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How many marbles

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Sophie has a box of marbles. She gives half of her marbles to her friend Liam. Then she gives one-third of the remaining marbles to her cousin Mia. After that, Sophie has 18 marbles left.

How many marbles did Sophie have at the start?

Comments

  1. Rithvik6 February 2025 at 17:16

    Sophie gives away portions of her marbles in steps. Let's find out how many she had initially.

    Step 1: Define the Unknown
    Let x be the number of marbles Sophie had at the start.

    Step 2: Account for Liam's Share
    She gives half of her marbles to Liam:
    Marbles left = x/2

    Step 3: Account for Mia's Share
    She gives one-third of the remaining marbles to Mia:
    Marbles given to Mia = (1/3) × (x/2) = x/6
    Marbles left after Mia = (x/2) - (x/6)

    Find a common denominator (6):
    (3x/6) - (x/6) = 2x/6 = x/3

    We know Sophie now has 18 marbles left:
    x/3 = 18

    Step 4: Solve for x
    Multiply both sides by 3:
    x = 54

    Final Answer:
    Sophie originally had 54 marbles.

    ReplyDelete

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