# Numbers - math word problems

1. Two-digit number I am a two-digit number less than 20. When I divided by three, then you get the rest 1 and when you divide me by four you get also rest 1. What number am I?
2. De Moivre's formula There are two distinct complex numbers z such that z3 is equal to 1 and z is not equal 1. Calculate the sum of these two numbers. A domed stadium is in the shape of spherical segment with a base radius of 150 m. The dome must contain a volume of 3500000 m³. Determine the height of the dome at its centre to the nearest tenth of a meter.
4. Subtraction Test what do you know about the subtraction of two numbers: a) make a difference if the minuend 4,307,288 and subtrahend is 472008 b) minuend is 4000 more than subtrahend. What's the difference? c) the difference is 38900 less than the minuend. What is th
5. Wide field The field is 203 meters wide 319 meter long, what is the greater length of the rope by which length and width can be measured and find the exact number of time.
6. Four integers Fnd four consecutive integers so that the product of the first two is 70 times smaller than the product of the next two.
7. Banknotes \$ 1390 was collected. How much was in \$20 notes and how many in \$50 notes in that order? How many solutions exists?
8. Paving - joints We are paving with rectangular pavement 18 cm × 24 cm was placed side by side in height in a row and in the second row in width etc. How many times will the joints meet at a distance 10 m?
9. Tailor master There are less than 50m of textile in the tailoring workshop. When cutting on a blouse (consumption 1.5m), no textile is left. When using a cloth (consumption of 3.2m), no textile is left. How many meters of textile are in a tailor's workshop?
10. Probably member Look at the series 2,6,25,96,285, ? What number should come next?
11. Equation algebraogram Solve the equation: oco + ivo = cita How much has the task of solutions?
12. Cremons The freight wagon is shaped like cuboid 21m and 3.5m and 4.2m How many cremons can be loaded if one is a cube with an edge length of 7 cm? How many products weighing 12.5 kg can be loaded on a cargo car with a load of 1.5 t to load two-thirds?
14. Z9–I–4 MO 2017 Numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9 were prepared for a train journey with three wagons. They wanted to sit out so that three numbers were seated in each carriage and the largest of each of the three was equal to the sum of the remaining two. The conducto
15. Package The package was 23 meters of textile. The first day sold 12.3 meters. How many meters of textile remained in the package?
16. Identity 123456789 = 100 Use only three plus or minus characters to correct previous identity/equation.
17. Three numbers How much we increases the sum of three numbers when the first enlarge by 14, second by 15 and third by 16? Choose any three two-digit numbers and prove results.
18. 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?
19. Rolls Mom bought 13 rolls. Dad ate 3.5 rolls. How many rolls left when Peter yet put two at dinner?
20. Division Which number in division 16 give 12 and the rest 3?

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