# Arithmetic - math word problems

1. The sum
The sum of the first 10 members of the arithmetic sequence is 120. What will be the sum if the difference is reduced by 2?
2. Divide 8
Divide 6840 by x y and z, in such a way that x has twice as much as y, who has half as much as z
3. Seven numbers
Write seven 4-digit numbers that are divisible by 3 and at the same time by 4.
4. Expressions
Let k represent an unknown number, express the following expressions: 1. The sum of the number n and two 2. The quotient of the number n and nine 3. Twice the number n 4. The difference between nine and the number n 5. Nine less than the number n
5. Expressions with variable
This is algebra. Let n represent an unknown number and write the following expressions: 1. 4 times the sum of 7 and the number x 2. 4 times 7 plus the number x 3. 7 less than the product of 4 and the number x 4. 7 times the quantity 4 more than the n
6. Algebra problem
This is algebra. Let n represent an unknown number. 1. Eight more than the number n 2. Three times the number n 3. The product of the number n and eight 4. Three less than the number n 5. Three decreased by the number n
7. Squares
From a square of 12 dm perimeter is cut smaller square, whose side is the third side of the square. What is the area of the rest?
8. Dividing money
Jane and Silvia are to divide 1200 euros in a ratio of 19:11. How many euros does the Jane have?
9. Holidaymakers
A total of 94270 holidaymakers spent part of their holiday in 50 hotels a year. On average, how many vacationers are there for one hotel?
10. Company logo
The company logo consists of a blue circle with a radius of 4 cm, which is an inscribed white square. What is the area of the blue part of the logo?
11. Saving
At the beginning of the year, Tomas had saved 230kc, after half a year even 590 CZK. How many crowns did he save each month when saving the same amount?
12. Almonds
Rudi has 4 cups of almonds. His trail mix recipe calls for 2/3 cup of almonds. How many batches of trail mix can he make?
13. The tickets
The tickets to the show cost some integer number greater than 1. Also, the sum of the price of the children's and adult tickets, as well as their product, was the power of the prime number. Find all possible ticket prices.
14. Turtles 2
A box turtle hibernates in the sand at 11 5/8. A spotted turtle hibernates at 11 16/25 feet. Which turtle is deeper?
15. Cottage house
The village is 28 km from the cottage. Father goes from village to cottage. Son goes from the cottage to the village. They meet 10 km further behind the cottage. How much did dad walk?
16. Twos
Vojta started writing the number of this year 2019202020192020 into the workbook. .. And so he kept going. When he wrote 2020 digits, no longer enjoyed it. How many twos did he write?
17. Right circular cone
The volume of a right circular cone is 5 liters. Calculate the volume of the two parts into which the cone is divided by a plane parallel to the base, one-third of the way down from the vertex to the base.
18. Stamps
Tibor has four times more stamps than Miro and seven times more stamps than Stano. How many stamps have all three if Tibor has 504 stamps?
19. Divide
Divide the number 72 in the ratio 7: 2 and calculate the ratio of the numbers found in this order and write down as decimal.
20. Positive integers
Several positive integers are written on the paper. Michaella only remembered that each number was half the sum of all the other numbers. How many numbers could be written on paper?

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