Rithvik's Blog 11+

A train leaves Station A at 9:00 AM, traveling towards Station B at a speed of 60 kilometers per hour. Another train leaves Station B at the same time, heading towards Station A at a speed of 80 kilometres per hour. The distance between Station A and Station B is 420 kilometres. At what time will the two trains meet?

Emma has 120 marbles. She decides to give some marbles to her three friends: Alice, Ben, and Charlie. Emma gives Alice twice as many marbles as she gives Ben and gives Charlie 5 more marbles than Ben. After giving away the marbles, Emma has 35 marbles left. How many marbles did Emma give to each of her friends?

If x + y = 12 and x - y = 4, what are the values of x and y?

Samantha thinks of a number. She multiplies it by 5 and then subtracts 7 from the result. If the final number is 43, what was the original number Samantha thought of?

John is twice as old as Peter. In 6 years, the sum of their ages will be 54. How old is each one now?

If 1/4 of a number is 7, what is 2/3 of that number

If 2x - 5y = 12 and x + y = 3, find the values of x and y

Solve for x: 2^(3x - 1) = 8

Solve the following simultaneous equations for x and y: 2x + 3y = 10 4x - 5y = 2

The quadratic equation x^2 - 5x + k = 0 has roots p and q. Given that, p + q = 7 and pq = 10, find the value of k.

Solve the following equation for x: 3^(2x + 1) - 27 = 9^(x + 2)