Maths practice for 14 year olds - page 315 of 369
Number of problems found: 7366
- Hexa prism
Determine the volume of the hex prism with a 4 cm edge base and a 28 cm body height.
- Perpendiculars 2756
Determine the volume and surface of a prism with the base of a right triangle if the perpendiculars are: a is 1.2 cm. b is 2cm. The height of the body is 0.3 dm.
- By dosing
A dairy uses a new and an old line to dose yogurts. By dosing yogurts on the old line, the order is fulfilled in 6 hours. If both lines work together, they will fulfill the same order in 2 hours. How many hours will it take to fulfill such an order if the
- Multivitamin 2749
We paid a total of 290 CZK for 5 liters of orange juice and 6 liters of multivitamin juice. A liter of multivitamin juice is CZK 8 more expensive than a liter of orange juice. How much do we pay for 2 liters of orange and 3 liters of multivitamin juice?
- Two lands
The common area of the two neighboring lands is 964 m². The second land is smaller by 77 m2, twice the size of the first land. Find the areas of each land.
- Snails
How many liters of water will fit in an aquarium with bottom dimensions of 30 cm and 25 cm and a height of 60 cm if we pour water up to a height of 58 cm? How many snails can we keep in an aquarium if we know that snails need 600 cm³ of water for their li
- Determine 2743
Victoria, Vivien, and Marián have a total of 99 euros. Vivien has 2 euros more than Marian, and Marian has 1 euro less than Victoria. Determine how many euros each one has.
- Remuneration 2741
The three workers were to share the remuneration of 410 euros according to their performance in working together. Thus, A: B = 4:3 and B: C = 5:2. Advise them on how to distribute the reward fairly.
- Diagonal 2738
ABCD square has a diagonal length of 8 cm. What is the area of the square?
- Similar triangles
The triangles ABC and XYZ are similar. Find the unknown lengths of the sides of the triangles. The lengths: a = 5cm, b = 8cm and x = 7.5cm z = 9cm.
- Properties: 2736
Find four numbers whose sum is 48 and which have the following properties: if we subtract 3 from the first, add 3 to the second, multiply the third by three, and divide the fourth by three, we get the same result.
- Diameter 2733
If we cut a tree trunk with a diameter of 42 cm and the width of the cutting joint is 3 mm, how many cubic cm of wood will turn into sawdust?
- Rectangular garden
How many m² (square meters) is a rectangular garden if a = 21 steps and a wide b = 41 steps are long, with the length of one step being, on average, 3/4 (three quarters) meters?
- Centimeters - block
The surface of the block is 4596 square centimeters. Its sides are in a ratio of 2:5:4. Calculate the volume of this block.
- Prism - eq triangle
Calculate the volume and surface of the prism with the base of an equilateral triangle with side a = 4cm, and the body height is 6cm.
- Triangular 2715
Determine the volume and surface of a triangular prism with a height of 12.4 cm; the base is a right triangle with 6 cm and 8 cm.
- Equilateral 2714
Determine the volume and surface of a 9 cm high triangular prism if its base is an equilateral triangle with an 8 cm side.
- Candelas
We burned two unequally thick and long candles. Longer burnt for three and a half hours and shorter for five hours. After two hours of burning, it was identical. How many times was a longer candle longer light than a shorter candle?
- Tractors
Six tractors plowed the field for eight days. After two days, two tractors broke down. How many days were prolonged work in the field?
- Water inlets
An Inlet valve with a flow rate of 12 liters per second is filled tank for 72 minutes. How long does it take to fill the full tank if we open one more such valve half an hour after?
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