# Reason + multiplication - math problems

#### Number of problems found: 83

• Pagans Jano and Michael ate pagans. Jano ate three more than Michael. The product of their counts (numbers) is 180. How many pagans did each of them eat?
• Big numbers How many natural numbers less than 10 to the sixth can be written in numbers: a) 9.8.7 b) 9.8.0
• The manufacturer The manufacturer found that 3% of the plates produced had a malfunction. Of the compliant, 75% are first and 25% second. What is the probability of producing first and second class plates?
• Divide How many different ways can three people divide 7 pears and 5 apples?
• Boys and girls There are 20 boys and 10 girls in the class. How many different dance pairs can we make of them?
• Holidays with grandmam We have packed three T-shirts - white, red, orange and five pants - blue, green, black, pink and yellow. How many days can we spend with the old mother if we put on a different combination of clothes every day?
• Bookshelf and books How many ways can we place 7 books in a bookshelf?
• Pages counting There are pages numbered from 2 to 104 in the book. How many digits have to be printed to number the pages?
• Eggs 3400 eggs sliced hens for February and March. We have to calculate how many hens can make 3400 eggs when one hen give 2 eggs a day for 59 days.
• Odd/even number Pick any number. If that number is even, divide it by 2. If it's odd, multiply it by 3 and add 1. Now repeat the process with your new number. If you keep going, you'll eventually end up at 1. Every time. Prove. ..
• Progression -12, 60, -300,1500 need next 2 numbers of pattern
• Symbols If 2*3 = 60 ; 3*4 = 120 and 4*5 = 200, what is 2*5?
• Associative law multiplication In a warehouse, you obtain a 20% discount but you must pay a 15% sales tax. Which would you prefer to have calculated first: discount or tax? Explain. (result write as: 1 = first discount, 2 = first tax, 3 = no matter what first)
• Dinning room How many different combinations can we choose if there are 3 soups, 5 kinds of main dish and 2 desserts in the dining room?
• Warmer weather This morning it was -6 °C. What temperature did the thermometer show yesterday if it was three times warmer?
• MO Z6-6-1 Write integers greater than 1 to the blanks in the following figure, so that each darker box was product of the numbers in the neighboring lighter boxes. What number is in the middle box?
• Z7-I-4 stars 4949 Write instead of stars digits so the next write of product of the two numbers to be valid: ∗ ∗ ∗ · ∗ ∗ ∗ ∗ ∗ ∗ ∗ 4 9 4 9 ∗ ∗ ∗ ∗ ∗ ∗ 4 ∗ ∗
• Two friends Two friends met as a good man perish together for a beer. After recovery the most important topics (politics, women, football ...), one asks: - And how many do you have children? - I have 3 children. - And how many years have? Friend already not want to a
• Star equation Write digits instead of stars so that the sum of the written digits is odd and is true equality: 42 · ∗8 = 2 ∗∗∗
• Unknown number 16 My number's tens is three times more then ones My number's ones is twice the number of thousands and my number's hundreds is half the number of of tens. I have two ones. which number am I?

Do you have an interesting mathematical word problem that you can't solve it? Submit a math problem, and we can try to solve it.

We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...