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How many chairs?

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?

How many left

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?

The Missing Marbles Problem

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?

How many sweets left?

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?

The Train Trouble Problem

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?

Missing Number

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

The Bookstore Puzzle

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?