# Numbers - math word problems

1. 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?
2. Prime factors Write 98 as product of prime factors
3. Clock's gears In the clock machine, three gears fit together. The largest has 168 teeth, the middle 90 teeth, and the smallest 48 teeth. The middle wheel turns around its axis in 90 seconds. How many times during the day do all the gears meet in the starting position?
4. Progression 12, 60, -300,1500 need next 2 numbers of pattern
5. Unknown number 22 I am a two-digit number. My tens digits is 4. My ones digit is 3 more than my tens. Who am I?
6. Six-digit primes Find all six-digit prime numbers that contain each one of digits 1,2,4,5,7 and 8 just once. How many are they?
7. Bridge cards How many bridge hands are possible containing 4 spades,6 diamonds, 1 club, and 2 hearts?
8. Find two Find two consecutive natural numbers whose product is 1 larger than their sum. Searched numbers expressed by a fraction whose numerator is the difference between these numbers and the denominator is their sum.
9. Hectares The tractor plows the first day of 4.5ha, the second day 6.3ha and the third day 5.4ha. It worked whole hours a day, and its hourly performance did not change and was the highest of the possible. How many hectares did it plow in one hour (what is it perfor
10. Integer Find the integer whose distance on the numerical axis from number 1 is two times smaller as the distance from number 6.
11. Small painters There are ten pupils in the painting group. Eight pupils paint with watercolors and nine pupils with tempera colors. How many pupils paint both water and tempera colors when each pupil paints?
12. Inverted nine In the hotel,, Inverted nine" each hotel room number is divisible by 6. How many rooms we can count with three-digit number registered by digits 1,8,7,4,9?
13. Sauna and pool There are 49 people in the swimming pool. There are seven times fewer people in the sauna. How many people are in the sauna? How many people are entirely in the pool and the sauna?
14. Seven times Which number seven times is just as higher as 27, how much is smaller than 29?
15. Sheep and cows There are only sheep and cows on the farm. Sheep is eight more than cows. The number of cows is half the number of sheep. How many animals live on the farm?
16. Digits Show that if x, y, z are 3 consecutive nonzero digits, zyx-xyz = 198, where zyx and xyz are three-digit numbers created from x, y, z.
17. Number with ones The first digit of the number is 1, if we move this digit to the end we get a 3 times higher number, which is the number?
18. Hens and pigs Hens and pigs have 46 feet in total. At least how much can heads have?
19. Scientific notation Approximately 7.5x105 gallons of water flow over a waterfall each second. There are 8.6x104 seconds in 1 day. Select the approximate number of gallons of water that flow over the waterfall in 1 day.
20. Dance group The dance group formed groups of 4, 5, and 6 members. Always one dancer remains. How many dancers were there in the whole group?

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