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Showing posts from July, 2023

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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Find x

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  f(x) = (3x^2 + 5x - 2) * (4x^3 - 2x + 7) What is the value of x when f(x) = 1480
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A cylindrical tank

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A cylindrical tank has a diameter of 6 meters and a height of 10 meters. The tank is initially filled to 3/4 of its capacity with water. A pipe is connected to the tank and is pouring water into it at a rate of 0.2 cubic meters per minute. At the same time, water is being drained from the tank through another pipe at a rate of 0.1 cubic meters per minute. a) Calculate the total capacity of the tank in cubic meters. b) Determine the rate at which the water level in the tank is rising (or falling) in centimeters per minute, when it is 4/5 full.
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Simplify the following

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  Simplify the following expression: (3x^2 - 2x + 5) - (2x^2 + 4x - 1)
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Simultaneous equations

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  Solve the following simultaneous equations for x and y: 3x + 2y = 11 2x - y = 4
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Which marble?

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A bag contains 6 red marbles and 4 blue marbles. Two marbles are drawn from the bag without replacement. a) What is the probability of drawing two red marbles in succession? b) What is the probability of drawing a red marble followed by a blue marble?
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Two in one!

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Solve the following simultaneous equations: 2x + 3y = 7 4x - y = 5 A geometric sequence has a common ratio of 2. The sum of the first four terms is 30. a) Find the first term of the sequence. b) Find the sum of the first ten terms of the sequence.
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Simplify the following

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Simplify the following expression: (2x^2 + 3x - 5) - (x^2 - 4x + 2) + (5x^2 + 2x + 7)
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Find the centre

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The equation of a circle is given by (x - 2)^2 + (y + 3)^2 = 25. Determine the centre coordinates and radius of the circle.
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