Maths practice for 14 year olds - page 274 of 375

Number of problems found: 7492

Square base - prism
The right prism has a square base with a side 3 cm long. The diagonal of the sidewall of the prism is u = 5cm. Calculate its volume.
Interest rate
Karel saved SKK 12,000 in the savings bank at the beginning of the year. At the end of the year, the savings bank credited him with SKK 1,680. At what annual interest rate did Karel have the deposit in the savings bank?
Rectangular meadow
Divide the rectangular meadow with dimensions of 1280m and 320m into a square shepherd with the longest possible side of the square. How many square pastures did you divide the meadow?
Interest rate
The interest for one year on the deposit of € 2,000 was € 18. What was the annual interest rate in percent?
Rainwater barrel
There are 1.5 hectoliters of rainwater in the barrel. Two-fifths of the water passed from the barrel while watering the garden. How many liters of water remained in the barrel?
Fraction equation
Solve the equation: 1/c - 3/(2c) = 3/4
Acceleration distance
When accelerating from 0 to 100 km/h in 9.3 seconds, what distance will the car travel?
Triangle construction
Construct a triangle ABC if you know the lengths of its sides c = 5 cm, a = 4 cm and angle ABC is 60°. Measure the length of side b in millimeters. Side length b is: a, 75 mm < b < 81 mm b, 53 mm < b < 59 mm c, 43 mm < b < 49 mm d, 13 mm
Youngest sibling
Peter, Leo, and Ivo are siblings. Peter is three times older than Leo, and Leo is three times younger than Ivo. They are 28 years old together. How many years is the youngest of them?
Sun rays
If the sun's rays are at an angle of 60°, then the famous Great Pyramid of Egypt (which is now 137.3 meters high) has a 79.3 m long shadow. Calculate the current height of the neighboring Chephren pyramid, whose shadow is measured at the same time at 78.8
Sugar cubes
The glass holds 600 ml of tea, which represents 80% of its volume. If twenty regular sugar cubes of 2 cm are poured into the tea, how many ml of tea are poured?
Trapezoid MO-5-Z8
Trapezoid KLMN has bases 12 and 4 cm long. The area of triangle KMN is 9 cm². What is the area of the trapezoid KLMN?
Hamsters and guinea pigs
In the morning, they had five times more hamsters than guinea pigs in the store. After selling 4 guinea pigs and 4 hamsters, they were left with four times as many hamsters as guinea pigs. How many hamsters and guinea pigs did they have together in the sh
Percentages 5
$5.25 is 7 1/2% of what number?
Flowers + orchards + lawn
The garden around the flat house is divided as follows: 30 percent flowers, 35 percent orchards, and 150 square meters from the lawn. What is the total area?
Cube in sphere
The sphere is an inscribed cube with an edge of 8 cm. Find the sphere's radius.
Addend calculation
Calculate the larger of the two addends if you know that the smaller census is a third of the larger one, and their sum is 48
Distance of numbers
Which number has the same distance from the numbers -5.65 and 7.25 on the numerical axis?
Five-sevenths of a volume
Forty-two liters of water fill the barrel to two-thirds of its volume. If it is filled to five-sevenths of a volume, how many liters of water do we need to add?
New Year's
A shoe store had a special offer during the New Year's sale: if you buy two discounted pairs of shoes, you get the cheaper pair for 1/2 the price! Mrs. Ludmila decided to take advantage of this offer. She bought shoes for her son that were 60% off the ori

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