Basic operations and concepts - math word problems - page 283 of 319
Number of problems found: 6378
- Surface of wall
Find by what percentage the cube's surface will decrease if we reduce the surface of each of its walls by 12%. - Interest 71474
I will deposit CZK 1,500 into my savings account every month. After ten years, what will be in the account if the interest rate is 4%, the interest period is one month, and the interest tax is 15%? - Floating floor
In the new building, a floating floor worker is considered in each room. Thirty minutes lay 9 m² of the floor. How long did three workers lay the floor in four rooms with a total area of 90 m²? - Train
The train is running at speeds of 96 km/h. From the beginning of braking to full stop, the train runs for 3.3 minutes. If the train slows the braking equally, calculate the distance from the location where you need to start to brake. - Four-digit numbers
Find all four-digit numbers whose decimal notation begins with a six and ends with a two and is divisible by 24. - Interest 81982
The bank offers interest on the deposit of 4 percent per annum. In how many years will the deposit double? - Quadrilaterals II
In the ABCDEFGHIJKL, the two adjacent sides are perpendicular to each other, and all sides except the AL and GF sides are identical. The AL and GF sides are twice as long as the other sides. The lines BG and EL intersect at point M and divide the dodecago
- Plan of the village
The plan of the municipality in 1:1000 scale has plotted garden with dimensions 25 mm and 28 mm. Determine the area of gardens in ares in reality. - 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 there? - Dolls
Dorotka cut the doll's way out of two batches. She was always left with one more doll, with every two dolls cut out. How many dolls did they cut in total if the number counted 16 of them in the first cut-out? - Deposit
If you deposit 719 euros at the beginning of each year, how much money do we have at 1.3% (compound) interest after 9 years? - Five-sevenths of a volume
Forty-two liters of water fill the barrel to two-thirds of its volume. If it is filled to five-sevenths of a volume, how many liters of water do we need to add? - Powerful 82250
In 5 minutes, it pumps 1240 l of water with the pump. Can two equally powerful pumps pump 500 liters of water in 1 minute? - Car model
The car model is 52 mm long, and the real car is 4524 mm long. What was the scale of the model car? - Inequality 7320
Let a, b, and c be positive real numbers whose sum is 3, each of which is at most 2. Prove that the inequality holds: a2 + b2 + c2 + 3abc
- Three-digit 5312
Find the smallest four-digit number abcd such that the difference (ab)²− (cd)² is a three-digit number written in three identical digits. - Coefficients 4445
Find all triplets P (x) = a * x² + b * x + c with the integer coefficients a, b, and c to which it applies P (1) - Probability 81637
We randomly select three different points from the vertices of a regular heptagon and connect them with line segments. The probability that the resulting triangle will be isosceles is equal to: (A) 1/3 (B) 2/5 (C) 3/5 (D) 4/7 - Gold ring
A gold ring with a width of 1 cm is made by drilling a sphere with a radius of 1 cm through its center. A gold bracelet with a width of 1 cm is made by drilling a sphere with a radius of 4 cm through its center. Which piece of jewelry will be worth more i - Solutions 70424
To what extent do we need to mix 82% and 54% solutions to get a 76% solution?
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