Maths practice for 14 year olds - page 124 of 362
Number of problems found: 7236
- Two cars
Two cars (trucks and passengers) drove simultaneously from two places 50 km away. If they go against each other, they will meet in 30 minutes. If they follow each other in the same direction, the car will catch up with the truck in 2.5 hours. What is the - Harmonic oscillation equation
Write the harmonic oscillation equation if the oscillation's amplitude is 5 cm and its period is 0.5 s. - Diamond and angles
The interior angles of the rhombus are 60° and 120°. Its side is 5 cm long. Find the area of the rhombus. - Bottle, cup and jug
The bottle and the cup have the same weight as the jug. The bottle has the same weight as the cup and plate. Two jugs have the same weight as three plates. What is the weight of the bottle if the weight of the cup is 100 g? - There
There is 5 l of water with a temperature of 20 °C in the bucket. We add 3 liters of hot water. The resulting temperature will be 30 °C. What was the temperature of the hot water? - Siblings savings distribution
Three siblings saved a combined total of CZK 1,445. Adela saved 10% less than Martin, and David saved 10% more than Adela. How many crowns did each of them save? - Bucket blueberry filling
Mira picks up a bucket of blueberries in two hours. Lorenzo fills one-third of the bucket every hour. How long would it take to fill one bucket together to the brim? - Part-timers
Six part-timers would take seven hours to pick strawberries. How long would this work take if two more temporary workers were added after three hours? - Four-times of an age
Charles's age is two-fifths the age of his older brother Michael. Two years ago, Charles was four times younger than Michael. How old is Charles now? - Rectangular land
Due to the new road, the longer dimension of the rectangular plot had to be shortened by 4 percent, and the shorter dimension shrunk by 10 percent. Thus, the area of the land has decreased by how much percent? - Radio signal oscillations
The time signal in the radio consists of four sound marks with a frequency of 1,000 Hz, of which the first three have a duration of 100 ms and the fourth 500 ms. How many oscillations will occur at each mark? - Isosceles trapezoid
Find the height in an isosceles trapezoid if the area is 520 cm² and the base a = 25 cm and c = 14 cm. Calculate the interior angles of the trapezoid. - Feed to hay
How many tons of water do we have to dehydrate from 8 tons of feed if the original moisture is 54 percent to get hay with a moisture content of 15 percent? Round to two decimal places. - Length of the chord
Calculate the length of the chord in a circle with a radius of 25 cm and a central angle of 26°. - A rectangle 5
A rectangle has sides of 10 cm and 14 cm. Calculate the angle between a diagonal and a long side. - The conical roof
The conical roof above the warehouse has a diameter of the lower part (base) d = 11.2 m and a height v = 3.3 m. How many rectangular steel plates with dimensions of 1.4 m and 0.9 m were needed to produce this roof if the seams and waste required an increa - Yogurt plan exceeded
The dairy produced 2,800 pieces of yogurt instead of 2000. By what percentage did it exceed the plan? - Student sibling percentage
There are 30 students in the class. 70% of them have one sibling. How many students have one sibling? - Car repair parts
Car repairs cost CZK 8,400. The owner paid 36% for labour and the rest for new parts. How much did he pay for the new parts? - Book price
The book was increased by CZK 20% from CZK 350. The bookseller subsequently reduced it by 15% as it did not go on sale. What was its final price?
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