Maths practice for 14 year olds - page 228 of 381
Number of problems found: 7601
- Odd/even number
Pick any number. If that number is even, divide it by 2. If it's odd, multiply it by three and add one. Now, repeat the process with your new number. If you keep going, you'll eventually end up at one every time. Prove. - Honza
Honza is 13 years old, and Peter is 21 years old. After how many years will their ages be, at a ratio of 7:9? - Waste Paper Collection Comparison
Ema collected 770 kg of waste paper during the school year, while her friend Patrik collected 15% less. During the following school year, Ema collected exactly as much as Patrik did last year, but Patrik managed to collect 15% more than Eme. Which one col - Sand in the warehouse
Several tonnes of sand were delivered to a building materials warehouse in the morning. The first customer, Adamík, took away five sixths of it. The second customer, Bílý, bought two thirds of the remainder, and the last customer, Certis, took away three - Distances
On the way from Bratislava to Trebišov (440 km), 2 cars set off toward each other. The car from Bratislava set off at 8:00 a.m. and the car from Trebišov at 9:00 a.m. They met at 11:00 a.m. The car from Trebišov travelled 25 km less per hour than the othe - Factory employment ratio
Mr. Janda's factory employs three times as many men as women. There are 190 fewer women employed in this factory than men. How many men and women are employed in this factory? - Rectangular trapezoid
The ABCD rectangular trapezoid with the AB and CD bases is divided by the diagonal AC into two equilateral rectangular triangles. The length of the diagonal AC is 62 cm. Calculate the trapezium area in cm square and calculate how many different perimeters - Grandparents
Grandfather set aside €1,200 for savings. At the beginning of each month, he deposited €100 into the bank at an annual interest rate of 3%. At the end of the year, he had €1,219.68 in the bank. Grandma immediately deposited the entire amount of €1,200 int - Bucket
A half-filled bucket with water weighs 5.55 kg, while the full bucket weighs 9.85 kg. Thus, the bucket weighs 9.85 kg. - Sowing equipment
Farmer Jadrný sowed wheat in autumn with a large sowing equipment and rye with a small sowing equipment. The area of all fields sown with wheat in 7.5 h was twice as large as the area of all fields sown with rye in 6 h. The sum of the areas of all fields - Body diagonal
Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonally. - Rectangle diagonal
The rectangle, one side of which is 5 cm long, is divided by a 13 cm diagonal into two triangles. Calculate the area of one of these triangles in cm². - CD compartment distribution
Thomas has two compartments with CD-ROMs. The arithmetic average of the number of CDs in both bins is 30. If he added 10 more CDs to the first bin, there would be 1.5 times more CDs than in the second bin. How many CDs are in each compartment? - Motorcyclist and cyclist
At noon, a cyclist left Šumperk for Olomouc at a 20 km/h speed. Thirty minutes later, a motorcyclist drove up behind him at 60 km/h. At what distance and at what time did the motorcyclist overtake the cyclist? - Cars Meeting Time The distance from Žilina to Košice is 260 km. From both places, 2 cars started opposite each other simultaneously. A car from Žilina travels at a speed of 58 km/h. The speed of a car from Košice is 72 km/h. In how many hours will these two cars meet?
- Opening of a safe
How great a force would need to be exerted to open the rectangular door of a water-tight safe with dimensions 30 cm x 20 cm, built into the wall of a cabin of the sunken Titanic, which has been lying for more than 105 years on the bottom of the Atlantic O - Testing preparation time
Mike has also been preparing for testing 9 for a long time. He devotes a third of his time to Czech, half of his time to mathematics, and discusses with his father for 10 minutes. How many minutes a day does Mike prepare? - A car
A car weighing 1.05 tonnes, travelling at the maximum speed limit in a village (50 km/h), crashes into a solid concrete barrier. Calculate the height from which the car would have to fall onto a concrete surface to produce the same impact force as in the - A report
Maricris can type a committee report in 5 hours. Jane helped Maricris, and together they finished the report in 3 hours. How long would it take Jane to complete the report she had worked on alone? - Middle finger
Jana counts on one hand, going finger by finger. She starts counting from her thumb through her index finger, middle finger, and ring finger up to her little finger, reaching the number 5. Then she immediately goes back to her ring finger (6), middle fing
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