Maths practice for 14 year olds - page 135 of 361
Number of problems found: 7217
- Heads and legs
There are chickens and rabbits in the yard. Together, they have 108 legs and 33 heads. How many chickens are there? How many rabbits are there? - Swing balance
The boy is sitting on a two-arm swing, and his seat is 300 cm away from the center of rotation. Its weight is 48 kg. The girl is sitting at the other end of the swing, and her mass is 36 kg. How far from the center of rotation must the girl sit for them t - Photos
Three friends, Miranda, Lucy, and Hannah, collect photos. If Miranda had three more photos, she would have as many as Hannah. If Lucy had five photos less than she has, she would be like Hannah. How many photographs does each have if they have 431 togethe - Triangle area
A triangle with a perimeter of 69 cm has one side three times shorter than the longest of them and the other 3 cm shorter than the longest of them. Find the area of the triangle. - They bought
Students bought sets of notebooks for a total of 65 euros. One type of set costs €2 and another costs €3. There were five times as many €2 sets as €3 sets. How many sets were bought in total? - Snow pressure
What pressure will the falling snow exert on the roof of the house? The weight of snow on the entire roof is 150 kg. The area of the lookout, covered with snow, is 10 m². - Don't forget the notation; the formula then substitutes the result. - Money distribution
Peter, Judy, and Charles have a total of 200 crowns. Peter has five crowns more than Charles. Judy has 2x more than Charles. How many crowns does Charles have? - The roof
The tower's roof has the shape of a regular quadrilateral pyramid, the base edge of which is 11 m long, and the side wall of the animal with the base at an angle of 57°. Calculate how much roofing we need to cover the entire roof if we count on 15% waste. - The square
The square oak board (with density ρ = 700 kg/m3) has a side length of 50 cm and a thickness of 30 mm. 4 holes with a diameter of 40 mm are drilled into the board. What is the weight of the board? - 1200 screws
1200 screws are to be divided into three groups so that in the 1st group, there are 300 screws more than in the 2nd group, and in the 2nd group, 150 screws less than in the 3rd group. How many screws will be in each group? - Altitude angle
In complete winds-free weather, the balloon took off and remained standing exactly above the place from which it took off. It is 250 meters away from us. How high did the balloon fly when we saw it at an altitude angle of 25°? - 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?
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