Rithvik's Blog 11+

A sequence of numbers goes like this: 3, 7, 11, 15, ___, 23, 27 What number should go in the blank?

Sophie has 3 boxes of marbles. The first box has twice as many marbles as the second box. The third box has 12 fewer marbles than the second box. Altogether, the three boxes have 96 marbles. How many marbles are in each box?

There are some chairs in a hall. If 4 more people come, there won’t be enough chairs and 3 people will have to stand. But if 3 people leave, there will be 5 chairs left empty. How many chairs are there in the hall?

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?