Rithvik's Blog 11+

Liam thinks of a number. He multiplies it by 3, then subtracts 5. The result is the same as if he had doubled the number and added 1. What number did Liam think of?

A number has two digits. When the digits are reversed, the new number is 27 more than the original number. The sum of the digits is 11. What is the original number?

A train leaves London at 9:00 a.m. and travels at an average speed of 60 km/h. Another train leaves the same station at 9:30 a.m. and travels at an average speed of 80 km/h, following the same route. At what time will the faster train catch up with the slower one?

A sequence follows this pattern: 3, 6, 12, 24, ?, 96 What number should replace the question mark?

A train leaves London at 10:15 AM and travels to Bristol at an average speed of 60 miles per hour. The total distance is 150 miles. At what time does the train arrive in Bristol?

Three consecutive numbers add up to 111. What are the three numbers?

Sophie has a box of red, blue, and green marbles. She has twice as many red marbles as green marbles. She has 6 more blue marbles than red marbles. Altogether, she has 54 marbles. How many marbles of each colour does Sophie have?