Rithvik's Blog 11+

Liam had a bag of marbles. He gave half of them to his friend Sophie. Then he lost 6 marbles on the way home. When he got back, he counted and saw he had 18 marbles left. How many marbles did Liam have to start with?

Alice, Ben, and Charlie each had a bag of sweets. Alice had 24 sweets. Ben had twice as many sweets as Alice. Charlie had 18 fewer sweets than Ben. They decide to redistribute the sweets so that each of them ends up with the same number of sweets. How many sweets must Ben give to Charlie so that all three have the same amount?

Amira has a jar of coins made up of only 10p and 20p coins. There are 24 coins in total. The total value of all the coins is £3.60. How many 10p coins does Amira have?

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?

A jar contains some red, blue, and green marbles. There are twice as many red marbles as blue marbles, and 6 fewer green marbles than red marbles. Altogether, there are 54 marbles in the jar. How many marbles of each colour are there?

I think of a number. I multiply it by 4, then subtract 6. The result is the same as if I had doubled the number and added 10. What was the number I originally thought of?

Sam had some marbles. He gave 1/3 of them to his friend Lucy. Then he lost 12 marbles on the way home. In the end, he had 16 marbles left. How many marbles did Sam have at the start?