Maths practice for 14 year olds - page 331 of 379
Number of problems found: 7577
- Trees
Loggers wanted to seed more than 700 and less than 800 trees. If they seed in rows of 37, leave them eight trees. If they seed in rows of 43, leave the 11 trees. How many trees must seed? - Cuboid - complicated
Three walls of the same cuboid have an area of 6 cm², 10 cm², and 15 cm². Calculate the volume of the cuboid. - Apples 2
On the first day fell one-third, on the second quarter of the rest and on the tree remained 45 apples? How many apples were originally on the tree? - Triangular pyramid
Determine the volume and surface area of a regular triangular pyramid having a base edge a=20 cm and a lateral edge b = 35 cm. - Water pool
A pool with a volume of 990 hl is completely filled if water flows by one tap for 8 hours and by the second tap for 6 hours. The first tap gives 10hl more than a second per hour. How many hl flows in each of them in an hour? - Principal and interest
Peter put € 270 principal into the bank, and at the end of the year, the account was € 282. To what annual interest rate did Peter deposit money in the bank? - Triangle IRT
An isosceles right triangle ABC with a right angle at vertex C has vertex coordinates: A (-1, 2); C (-5, -2). Calculate the length of segment AB.
- Diamond
Calculate the length of the two diagonals of the diamond if: a = 13 cm v = 12 cm - Pages of book
Lenka calculated that if every day read 16 pages of the book, and read a book a day earlier, then she had read only 14 pages a day. How many pages has this book? - Rectangle
The rectangle is 18 cm long and 10 cm wide. Determine the diameter of the circle circumscribed by it. - Reservoir
A reservoir that is 6 m long has a diameter of 2.2 m. What is its surface area in square meters? - Boletus and cossacks
Paul has 8 dry boletus, 1/2 less oak boletus, 5x more cossacks than butter mushrooms. He has 3x more cossacks and butter mushrooms together than dry boletus. How many mushrooms does he have in total? And how many butter mushrooms and how many cossacks? - Railway
The railway line climbs 8 permille between points A and B, whose horizontal distance is 1.5 km. It climbs 14 permille between points B and C, which have a horizontal distance of 900 m. Calculate the differences in altitudes between points A and C. - Rectangular triangles
The lengths of the corresponding sides of two rectangular triangles are in the ratio 2:5. At what ratio are medians relevant to hypotenuse these right triangles? At what ratio are the areas of these triangles? A smaller rectangular triangle has legs 6 and - Locomotive
Locomotive pulled a permanent train load of 200 kN horizontally along the track of 5km. What work has it done?
- Journey to grandma
Daniel traveled to Grandma. He traveled 100 km, halfway by train, one quarter by bus, one-tenth by bicycle, and the rest by car. How many km did he travel by car? - Basketball
Peter and Franta threw to the basket. Each had 20 attempts. Peter scored thirteen and twelve Franta. Give them a percentage of success. - Percent chaining
Calculate 20% from 70% from 80 km - Resort
In a completely crowded resort, 30% of the Czech Republic quarter visitors were from Slovakia, and the rest, 135, came from Germany. What capacity has the resort had? - Tiles
How much will you pay CZK for laying tiles in a square room with a diagonal of 8 m if 1 m² cost CZK 420?
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