Maths practice for 14 year olds - page 121 of 376

Number of problems found: 7502

Siblings savings distribution
Three siblings saved CZK 1,445. Adela saved 10% less than Martin and David 10% more than Adela. How many crowns did each of them save?
Bucket blueberry filling
Mirka 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
Karel's age is two-fifths the age of his older brother Michal. Two years ago, Karel was four times younger than Michal. How old is Karel 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 repair costs CZK 8,400. The owner paid 36% for the work and gave the rest for new parts. How much did he give for 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?
Club boy girl
There were 43 pupils in the school club, seven fewer boys than the girls. How many boys and girls were in the club?
School model
The beech school model of a regular quadrilateral pyramid has a base 20 cm long and 24 cm high. Calculate a) the surface of the pyramid in square decimeters, b) the mass of the pyramid in kilograms if the density of the beech is ρ = 0,8 g/cm³
Parallelogram ABCD
We have the parallelogram ABCD, where AB is 6.2 cm; BC is 5.4 cm and AC is 4.8 cm. Calculate the height on the AB side and the angle DAB.
Pants shirt combinations
He has four types of pants. How many T-shirts does he have if he can dress 40 different ways?
The rectangular
The rectangular trapezoid has bases 15 dm and 8 dm long, and the length of the inclined arm is 12 dm. How long is the other arm of the trapezoid?

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