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 bag of marbles. She gives half of them to her friend Alex. Then, she gives a third of what she has left to Ben. After that, she gives a quarter of the remaining marbles to Clara. If she ends up with 18 marbles, how many marbles did Sophie have at the start?

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  1. Rithvik31 October 2025 at 10:55

    Sophie gave a quarter of her marbles to Clara, and kept 18.
    This means 18 marbles is three-quarters of what she had before giving to Clara.

    Let’s call that amount x.

    So:
    (3/4) × x = 18
    Multiply both sides by 4:
    3x = 72
    Divide by 3:
    x = 24

    So, she had 24 marbles before giving to Clara.

    Step 2: Ben

    She gave a third of her marbles to Ben before that, and was left with 24 marbles.

    So 24 marbles is two-thirds of what she had before giving to Ben.

    Let’s call that amount y.

    (2/3) × y = 24
    Multiply both sides by 3:
    2y = 72
    Divide by 2:
    y = 36

    She had 36 marbles before giving to Ben.

    Step 3: Alex

    She gave half of her original marbles to Alex, then had 36 marbles left.

    So 36 marbles is half of her starting amount.

    Let’s call her starting amount z.

    (1/2) × z = 36
    Multiply both sides by 2:
    z = 72

    ReplyDelete

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