Maths practice for 14 year olds - page 225 of 371
Number of problems found: 7412
- Karel's 7305
Paul's age is 60% of Karel's age. In 15 years, Paul's age will equal 80% of Karel's age. How old is Pavel?
- Selling price
Find the selling price. Cost to store: $50 Markup: 10%
- 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?
- Collected 7298
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
- Distances
On the way from Bratislava to Trebišov (440 km), 2 cars set off towards each other. The car from BA 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 traveled 25 km less than the second car each hour
- Employed 7292
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 62cm. Calculate the trapezium area in cm square and calculate how many different perimeters
- Grandparents
The grandfather set aside €1200 for savings. At the beginning of each month, he deposited €100 in the bank at an interest rate of 3%p. A. At the end of the year, he had €1,219.68 in the bank. Grandma immediately put the entire amount of €1,200 into the ba
- 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.
- 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.
- Compartments 7275
Tomáš 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?
- Simultaneously 7272
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?
- Mathematics 7270
Mišo 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 Mišo prepare?
- A car
A car weighing 1.05 tonnes, driving at the maximum allowed speed in the village (50 km/h), hits a solid concrete bulkhead. Calculate the height that would have to fall on the concrete surface to make the impact intensity the same as in the first case!
- 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 one by one. She starts counting from her thumb through her index finger, middle finger, and ring finger and comes to her little finger and has the number 5. Then she immediately returns to her ring finger (6), to her middle finger
- Degrees Fahrenheit
C= (5)/(9)(F−32) The equation above shows how temperature F, measured in degrees Fahrenheit, relates to temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true? I. A temperature increase of 1 degree Fahrenhei
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