Maths practice for 14 year olds - page 131 of 378
Number of problems found: 7551
- Two cars
Two cars, spaced d1 = 500 m apart, start moving against each other at time t1 = 0, the first car with acceleration a1 = 4 m/s² and the second with acceleration a2 = 6 m/s². At what time t2 do they meet? What distances s1 and s2 will move from the start to
- Potential 42561
The elevator cabin weighing 720 kg goes from the ground floor to the top floor of the building, at 125 m. How much potential energy does the elevator cabin have on the top floor of the building - at the height of 125 m?
- Two solutions
What strong solution is created by mixing 3 liters of 30% solution and 2 liters of 70% solution?
- Harry
Harry Thomson bought a large land in the shape of a rectangle with a circumference of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of equal length. Their longer sides are three consecutive natural numbers. Fi
- Block-shaped 42481
A block-shaped pool that is 25 m long, 12 m wide, and 180 cm deep is to be filled with draft so that the water level is 20 cm below the edge. How long will it take to fill the pool if we use 2 pumps, each with a "power" of 125 l/min?
- Circumference 42471
The lengths of the sides of the triangle ABC are in the ratio 4:2:5. Calculate the size of the longest side of a similar KLM triangle, whose circumference is 66 cm.
- Different 42371
How many ways can you store seven different books side-by-side when a math book has to be on the edge of the shelf?
- Social Security Administration
In January 2012, the Social Security Administration increased benefits to its recipients for the first time since 2009. Before the increase, James received $1200/month. After the increase, he received $1243.20/month. Find the percent increase in Social Se
- Numbers 42291
How many five-digit odd numbers exist?
- Class enrollment
A grade 6 class went on a field trip only 98% or 49 pupils joined the activity. What was the class enrollment?
- Email hoard
Kendrick received 24 fewer e-mails on Friday than he did on Thursday. If he received a total of 126 e-mails on those two days, how many did he get each day?
- Different 42191
How many different triangles with vertices formed by points A, B, C, D, E, and F can we create?
- Quadrilateral 42151
Calculations from geometry: The ratios of the sides of the quadrilateral are 3 : 6:4.5 : 3.5. Calculate their lengths if the circumference is 51 cm. The sizes of the angles in the quadrilateral are equal to 29°30', 133°10', and 165°20'. What is the size o
- Percentage 42121
Tomáš took out a loan to buy a washing machine. In the following 12 months, according to the contract, he had to repay the amount of 150 euros. The price of the washing machine is 1200 euros. What percentage is the annual interest rate? Write in the form
- Probability 42081
What is the probability of any two-digit natural number a) is divisible by seven, b) is divisible by nine, c) is not divisible by five.
- Radiators
Calculate the radiator output if it has a thermal gradient (difference between inlet water and return temperatures) a) 5°C b) 10°C c) 15°C d) 20°C A heating water volume flow is 45 kg/h. How fast the water flows from the supply pipe to the radiator e) DN1
- Apartment building
Two hundred eight people live in the apartment building. There are as many women as there are men, but there are 22 more children than women. How many adults live in an apartment building?
- Three-digit numbers
How many three-digit numbers are not closer to 600 on the number axis than 400?
- Governments 41931
Father put €600 in a bank that pays government interest at a rate of 3%p. A. Grandfather put €610 in a bank that will make governments at a rate of 2%p. A. Which will have more money if they withdraw from the bank after one year?
- ABC isosceles
ABC isosceles rights triangle the length of each leg is 1 unit what is the length of the hypotenuse AB in the exact form
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