Maths practice for 14 year olds - page 119 of 378
Number of problems found: 7560
- 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 AC is 4.8 cm calculate the height on the AB side and the angle DAB
- Overlapping 48253
To cover the pyramidal roof of the house, Mr. Drobný bought aluminum boards at 210 CZK per 1m². How much CZK crowns did he pay for them if their consumption increased by 10% due to overlapping edges?
- Different 48243
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?
- Percentage 48223
The safe is 100 cm high, 80 cm wide, and 60 cm deep. Its internal space has a volume of 168 liters. What percentage of the total volume of the safe is occupied by the walls of the safe?
- Dimensions 48161
A block with dimensions a = 15cm b = 5cm and a block height c = 8cm. Calculate the length of the wall diagonal in the base.
- Calculate 48073
Calculate the area of the isosceles trapezoid ABCD if a = 14 cm, c = 8 cm, and the size of the angle DAB is 52 °.
- Arithmetic 48053
Calculate the arithmetic mean, median, and mode of numbers x1, x2. .., x15, if the number 2 occurs between them five times, the number 7 eight times, and the numbers 10 and 12 once.
- The triangle
The triangle has sides 5 cm long, 5 cm, and 8 cm long. What is the area of the triangle?
- Bracelet 48003
Radka wants to model a round bracelet with a diameter of 8 cm from copper wire. About how much wire does he need to make it if he needs to add 15% of its length to the eyelets? (π = 3.14)
- Equilateral Δ
What is the area of an equilateral triangle with a circumference of 63 cm?
- Thermometer
Immerse a thermometer with a heat capacity of 2.0 J/K in water weighing 67.0 grams. Before water immersion, the thermometer showed a temperature of 17.8 degrees Celsius. After reaching equilibrium, the temperature is 32.4 degrees. What was the water tempe
- A married
A married couple planned to have three children. i. List the possible combinations of the sexes of 3 children. Use B for a boy and G for a girl. ii. Calculate the probability that all three children would be of the same gender
- Hydrostatic 47943
The Czech Martin Štěpánek became the world record holder in May 2003, diving in the open sea in Cyprus with only fins to a depth of 93 m for 3 min and 34 s. Calculate the hydrostatic pressure acting on it at this depth.
- Circumference 47903
The rectangle's length is 35% larger than its width, and the circumference is 188 cm. Calculate its area.
- Gardeners 47883
Gardeners have planted 1,100 flowers. Pansies are 280 less than tulips, and 40 daffodils than pansies. How many pansies have they planted?
- Tank 28
The tank is shaped like a cuboid. The bottom is rectangular, one side of the rectangle is 40cm long, and the diagonal of this rectangle is 50cm. The height of the tank is 1.5m. We start filling the tank with water at a rate of 1 liter per second. No water
- A cheetah
A cheetah was separated from his brothers on a hunting mission. The brothers were at the watering hole 120 km away. The lost cheetah knew that he had to make it back before sundown, which was 1.5 hours away. His brothers had planned to leave the wateri
- Right-angled triangle base
Find the volume and surface area of a triangular prism with a right-angled triangle base if the length of the prism base legs are 7.2 cm and 4.7 cm and the height of the prism is 24 cm.
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