Rithvik's Blog 11+

Sophie had some marbles. She gave 1/4 of them to her friend Alex and then gave 1/3 of the remaining marbles to her brother. If she had 30 marbles left, how many marbles did Sophie have at the beginning?

Tom, Sarah, and James each have a collection of marbles. Tom has twice as many marbles as Sarah. Sarah has 10 fewer marbles than James. Altogether, they have 100 marbles. How many marbles does each person have?

Emma has a big bag of sweets. She wants to share them equally between her 4 friends. When she tries to do this, she finds that she has 3 sweets left over. If she had 7 more sweets, she could have shared them exactly. How many sweets does Emma have?

A train leaves London at 10:15 a.m. and travels to Manchester at a constant speed of 60 miles per hour. Another train leaves Manchester at 11:00 a.m. and travels toward London at a speed of 75 miles per hour. The distance between London and Manchester is 300 miles. At what time will the two trains pass each other?

Look at this sequence of numbers: 3, 6, 12, 24, ___, 96 What number should go in the blank?

Emma went to a bookstore with £20. She bought 3 notebooks and 2 pens. Each notebook cost £3.50, and all the pens cost the same amount. After paying, she had £2.50 left. How much did each pen cost?

A train travels from Town A to Town B at an average speed of 60 km/h. On the return journey, due to track repairs, it travels at an average speed of 40 km/h. The total time taken for the round trip is 5 hours. What is the distance between Town A and Town B?

Sarah had a bag of marbles. She gave half of them to her friend Tom. Then, she gave a third of the remaining marbles to her sister. If she had 18 marbles left after that, how many marbles did she have at the beginning?

Sophie has a box of red, blue, and green marbles. She knows that: There are 3 times as many red marbles as green marbles. There are 12 more blue marbles than green marbles. Altogether, she has 72 marbles. How many marbles of each colour does Sophie have?

Samantha was reading a book when she noticed that some pages were missing. She checked and found that the sum of the missing page numbers was 98 . If a sheet of paper in the book contains two pages (one on each side), how many sheets were missing?

A father is three times as old as his son. In eight years, he will be twice as old as his son. How old is the son now?

Sam, Alex, and Emma wake up at different times: Sam wakes up 45 minutes after Alex. Emma wakes up 20 minutes before Sam. Alex wakes up at 6:35 AM . What time does Emma wake up?

A number is doubled, then increased by 7. The result is then divided by 5, giving an answer of 6. What was the original number?

A number is multiplied by 3, then increased by 8. The result is the same as when the number is doubled and then increased by 14. What is the number?

Solve for x in the equation: (2x + 3)/(x – 2) = (3x + 4)/(x + 1)

A number is multiplied by 3, then 5 is added to the result. The final answer is the same as when the number is doubled and then increased by 8. What is the number?

Sarah is twice as old as Tom. Four years ago, she was three times as old as Tom was then. How old is Tom now?

James and his friends are sharing a large chocolate bar. If James divides it equally among 4 friends , there are 3 pieces left . However, if he divides it equally among 7 friends , there is only 1 piece left . What is the smallest possible number of pieces in the chocolate bar?

Emma went shopping with £50. She spent half of her money on a dress. Then, she bought a pair of shoes for £12. After that, she spent one-third of her remaining money on a handbag. How much money does she have left?

A number is multiplied by 3, and then 7 is added to the result. The final answer is the same as when the number is doubled and then increased by 10. What is the number?

A train leaves London at 10:15 AM , traveling at an average speed of 60 km/h . Another train leaves from the same station 45 minutes later , traveling on the same track at 90 km/h .

A sequence follows a certain rule: 3, 6, 11, 18, 27, ? , 51 What is the missing number?