Maths practice for 14 year olds - page 181 of 362

Number of problems found: 7229

Betting winnings division
Frank and Robert bet €8 on the result of a football match. Frank contributed €3.60 and Robert the rest. To their surprise, they won €60. How should they divide the collected money fairly?
Water mixing
We mix 2 liters of water at 100 degrees Celsius warm and 18 liters of water at 32 degrees Celsius warm. What temperature will the water have after mixing?
Garden trapezoid area
The garden, in the shape of an isosceles trapezoid, has a base length of 44 m and 16 meters. The arms are 25 m long. 1/5 of the area is for a road and a cottage. How many m² of the area will be left for planting trees?
Briefcase code options
Ferko received a briefcase with an adjustable three-digit code for his birthday. How many options do you have to set the code if you like a number with two sevens?
Shareholders and profit
The company distributed the profit among the shareholders in the ratio of 2:3:4:7. What was the total profit in the company if the last shareholder received € 1,400?
LED circuit calculation
The LED parameters are: ULed is 3 V, Current 100 mA Take measures so that the LED at the U 12 V supply is not destroyed. Perform the calculation and also the wiring diagram.
Copper heat calculation
What heat do we need to supply a copper body weighing 8 kg to raise its temperature by 136 degrees Celsius?
Triangle base calculation
They make bases for table lamps from bronze in the shape of an isosceles triangle. How many m² are needed for 5 mats if the arms are 24 cm long and the height to the triangle's base is 1.5 dm?
Pyramid volume calculation
Calculate the volume of a regular quadrilateral pyramid, which has the size of the base edge a = 8 cm and the length of the side edge h = 9 cm.
Chocolate purchase calculation
The kindergarten purchased 40 chocolates of two types. Dairy is sold after 16 CZK per piece, and hazelnut after 11 CZK per piece. They paid a total of CZK 565. How many chocolates were there?
Runners
If John has a running speed of 3.5 miles per hour and Lucy has a speed of 5 miles per hour. If John starts running at 10:00 AM and Lucy starts running at 10:30 AM, what time will they meet? (as soon as possible)
Ladder height calculation
The 8-meter-long ladder is attached to the wall at an angle of 22 °. How high does it reach?
Block material calculation
How many square meters of material is needed to make two identical blocks with dimensions of 6 dm, 8 dm, and 12 dm if we count 8% of the material for folds? (Round to two decimal places. )
Four-digit number creation
How many can we create four-digit numbers that digits can repeat from digits 0,1,2,3,…, 9?
Birth
Let's assume that the probability of the birth of a boy and a girl in the family is the same. What is the probability that the youngest and oldest child in a family with five children is a boy?
Adding
Divide number 135 into two additions, one adding 30 more than 2/5 of the other. Write the bigger one.
Pizza percentage remaining
The pizza has the shape of a circle and is divided into eight equal parts. My mother ate three parts. What percentage of pizza is left?
Two-digit number puzzle
The sum of the digits of a two-digit number is 8. If we change the order of the digits, the result is 36 smaller. Find this number.
Volume of wood
Every year, at the same time, an increase in the volume of wood in the forest is measured. The increase is regularly p% compared to the previous year. If in 10 years the volume of wood has increased by 10%, what is the number p?
Money circulation speed
Calculate the speed of money circulation, if you know: the amount of money in circulation: 95 million. €, nominal GDP is 1460 million. €.

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