Maths practice for 14 year olds - page 247 of 371

Number of problems found: 7412

Coordinates of the vertices
Calculate the coordinates of the vertices of a triangle if the equations of its sides are 7x-4y-1 = 0 x-2y + 7 = 0 2x + y + 4 = 0
Calculate 6219
Right triangle. Given: side b = 15.8 angle alpha = 15° 11`. Calculate the side a, c, beta angle, and area.
Calculate 6217
Calculate the larger of the two shields if you know that the smaller shield is a third of the larger one, and their sum is 48.
The room
The room has a cuboid shape with dimensions: length of 50m and width of 60 dm, and height of 300 cm. Calculate how much this room will cost (a floor is not painted) if the window and door area is 15% of the total area and 1m² costs 15 euros.
Calculate 6214
The cube A B C D A'B'C'D 'has a section area ACC'A' equal to 64 square root of 2 cm². Calculate the surface of the cube.
Cube cut
The cube ABCDA'B'C'D ' has an edge of 12cm. Calculate the area of diagonal cut B DD'B '.
Divide
Divide the area of rectangles with dimensions of 32m and 10m by the ratio of 7:9. What area corresponds to a smaller section?
Body diagonal - cube
Calculate the surface and cube volume with a body diagonal 15 cm long.
Three-liter 6204
We have to store seven cans of oil of 25 liters each in 45 cans, some of which are five liters and some three liters. How many three-liter cans and how many five-liter cans do we have?
Three-fifths
Three-fifths of the school's students are girls. What percentage are boys?
Calculate 6198
Calculate the diagonal length of the 87 cm and 60 cm TVs and round the result to units.
Line-producing 6197
The new line-producing screws did not work at total capacity from the beginning. On Monday, she produced 20% of the daily norm. On Tuesday, she already met 4/5 of the daily norm. By what percentage was the number of screws made on Tuesday higher than on M
Calculate 6195
The number x = 2 / p² is given. Calculate a number 400% greater than x if p = 10.
A bridge
The bridge over the river has the shape of an arc. The bridge is 10 feet above the water at the center of the river. At 27 feet from the river's edge, the bridge is 9 feet above the water. How wide is the river?
Train speed
The troop fired two guns from the same place at 10 minutes and 30 seconds intervals, but a person on a train approaching the place heard a second shot 10 minutes after the first. The speed of the train (in km/hr), supposing that sound travels at 340 m/s,
Measuring 6188
Find the length of the cube's edge and its volume is equal to 60% of the volume of a block measuring 7 cm, 8 cm, and 6 cm.
Together 6187
Petr had 20% more savings than Jana, who saved half of what Markéta did. Together they saved CZK 2,520. How much CZK did each of them save?
Probability 6186
Grandma used to cook sheep and cottage cheese pies together. There were 30 made from sheep cheese and 5 fewer made from cottage cheese. Juraj took the first one and got 6 brownies and 3 curds. What is the probability that my first pie will not be bronze?
Height—the 6183
In the isosceles trapezoid ABCD, the base length is a = 10cm, c = 6cm, and the arm's length is 4cm. Calculate its height—the result round to tenths.
Decreased 6181
The plasma TV happened at Christmas. Case 738eur. After Christmas. The shop sold it out on holidays, and its price decreased by 12%. How much did the TV cost after the discount?

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