Rithvik's Blog 11+

I am thinking of a number. If I multiply the number by 3 and then subtract 7, the result is the same as subtracting 5 from twice the number.

Liam gets £5 pocket money every week. He saves £2 each week and spends the rest. After 6 weeks, he buys a book that costs £18. How much money does he have left after buying the book?

Sophie has some marbles. She gives 1/3 of them to her friend Emma and then gives 12 more to her brother. She is left with 20 marbles. How many marbles did Sophie have at the start?

A return train ticket from London to Oxford costs £15. A single ticket in one direction costs £9. A group of 4 friends want to travel from London to Oxford and back. What is the cheapest way for them to buy tickets, and how much will it cost in total? Hint: They can buy a mix of single and return tickets if it helps.

At a school fair, tickets are sold for £2 each. A group of friends — Alice, Ben, Clara, and Dan — each bought a different number of tickets. Altogether, they spent £38. Alice bought twice as many tickets as Dan. Ben bought 3 more tickets than Clara. Dan bought the fewest tickets — only 3. How many tickets did each person buy?

A number is added to twice itself, and the result is then divided by 3. The final answer is 14. What is the original number?

Sophie, Ben, and Tara each have a bag of sweets. Sophie eats half of her sweets and gives away 6. Ben eats a third of his sweets and gives away 12. Tara eats a quarter of her sweets and gives away 18. They each end up with the same number of sweets left. Who started with the most sweets?