Maths practice for 14 year olds - page 136 of 362
Number of problems found: 7235
- Tower distance
From the lookout tower, 70 meters high, we see a man at a depth angle of 15 degrees. Calculate how far one stands from the base of the lookout tower. Draw and calculate. - Angle of inclination
What percentage of the gradient should be indicated on the mark if the angle of inclination of the road is 6°25'? - Sand pile
Calculate the volume and weight of a pile of cone-shaped sand with a diameter of 8 m and a height of v = 4.5 m; the density of sand is 1500 kg/M cubic. - The aluminum
An aluminium object weighing 0.80 kg at 250 °C is placed in 1.6 kg of water at 23 °C. What is the equilibrium temperature of the system? Assume that heat exchange occurs only between the aluminium object and the water. The specific heat capacity of alumin - The bath
The bath has water with a volume of 220 l and a temperature of 65 °C. Find the mass m2 of water at 15 °C to be poured, so the resulting temperature in the bath will be 40 °C. We neglect the heat exchange between water and the environment. Water - Calculate
Two friends, Mário and Jano, lived on opposite sides of a highway. They decided to find out how wide it was. Mário drew a diagram, based on which they made measurements the next day. They measured the values a = 5 m, b = 5.9 m, and d = 5 m. Calculate the - An average a day
Forest workers planted 96 trees on Monday, 120 on Tuesday, and 61 on Wednesday. How many trees did she plant on the last day of Thursday if she planted an average of 105 trees a day? - Calculation - hemisphere
The roof is shaped like a hemisphere with a diameter of 8 m. Calculate how much m² of roofing is needed to cover the entire top if we count 15% for waste and residues and round the result to tenths of m². Use the constant pi rounded to two decimal places - Electric current
An electric charge of 10 C passed through the conductor in 50 s. What electric current passed through the conductor? - Electric charge
An electric current of 100 mA flowed through the conductor for 160 s. What electric charge passed through it? - Altitude angles
Cities A, B, and C lie in one elevation plane. C is 50 km east of B, and B is north of A. C is deviated by 50° from A. The plane flies around places A, B, and C at the same altitude. When the aircraft is flying around B, its altitude angle to A is 12°. Fi - Base diagonal
In a regular four-sided pyramid, the side edge forms an angle of 55° with the base's diagonal. The length of the side edge is eight meters. Calculate the pyramid's surface area and volume. - Side edges
The regular 4-sided pyramid has a body height of 2 dm, and the opposite side edges form an angle of 70°. Calculate the surface area and volume of the pyramid. - Diagonals of a prism
The base of the square prism is a rectangle with dimensions of 3 dm and 4 dm. The height of the prism is 1 m. Find out the angle between the body diagonal and the base's diagonal. - Mr. Brown
Mr. Brown invested 15,000 euros in the bank for an annual term deposit. After the first year, he gained 600 euros. What was the annual interest rate of his deposit? - Ten apples
The average weight of ten apples is 200 g. How does the average weight of apples change if we eat one apple weighing 129 g? - Lcm to eliminate y
Identify the least common multiple that would eliminate the y-variable. 6x - 5y = -4 4x + 2y = 28 - Six hens
Six hens weigh 3 kg more than three geese and 7 kg less than five geese. How much does a hen weigh, and how many geese? - Megapizza
Mega pizza will be divided among 100 people. First gets 1%, 2nd 2% of the remainder, 3rd 3% of the remainder, etc. Last 100th 100% of the remainder. Which person got the biggest portion? - Beam log cutting
Is it possible to cut a beam with a square cross-section with a side length of 30 cm from a log with a diameter of 42 cm? Write the answer as follows: yes, because. ... no, because...
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