Math practice for 13 year olds - page 334 of 351
Number of problems found: 7015
- Icerink
A rectangular rink with 68.7 m and 561 dm dimensions must be covered with a layer of ice 4.2 cm thick. How many liters of water is necessary for ice formation when the ice volume is 9.7% greater than the volume of water?
- Cyclists
The cyclist who rides at an average speed 20 km/h travels a trip distance 13 min before the cyclist who rides at an average speed 15 km/h. What is the length of this cyclist trip(distance in km)?
- Two wine
In the ratio of 2:1, mixed wine solution cost 4.1 USD. In the ratio of 1:2, mixed wine solution costs 4.5 USD. How much does a liter of each wine cost?
- Lorry
The lorry was loaded with 30 boxes of 24 kg. How many boxes with weight 48 kg can be loaded if the total load must be the same?
- Sale
If the product was twice price cut by 25%, what percentage was the price cut in total?
- Road repair
Road repair took 19 days for 35 workers if they worked 9 hours a day. How many days take to repair the same road 26 workers if they work 10 per day?
- Isosceles III
The base of the isosceles triangle is 17 cm area 416 cm². Calculate the perimeter of this triangle.
- XY triangle
Determine the area of a triangle given by line 2x-4y+47=0 and coordinate axes x and y.
- Sawdust
How many cubic centimeters of wood sawdust are created by cutting the tree trunk with a diameter of 66 cm and when the gap width is 5 mm?
- Tanks
The fire tank is cuboid in shape, with a rectangular floor measuring 13.3 m × 14.7 m. The water depth is 1.9 m. Water was pumped from the tank into barrels with a capacity of 5 hl. How many barrels would have been used if the water level in the tank
- Canopy
Mr Peter has a metal roof cone shape with a height of 127 cm and radius 130 cm over well. He needs to paint the roof with anticorrosion. If the manufacturer specifies the consumption of 1 kg to 3.3 m2, how many kg of color must he buy?
- Oil rig
The oil drilling rig is 23 meters in height and fixes the ropes, the ends of which are 10 meters away from the foot of the tower. How long are these ropes?
- Dices
We will throw two dice. What is the probability that the ratio between numbers on the first and second dice will be 1:2?
- Ace
We pulled out one card from a complete set of playing cards (32 cards). What is the probability of pulling the ace?
- MATES
In MATES (Small Television tipping), from 35 random numbers, five winning numbers are drawn. How many possible combinations are there?
- Salary
Since the beginning of the year, Mr. Johnson has earned a monthly salary of 955 USD. From which month was his salary increased by 52 USD, and when in the year did he earn 11824 USD (enter as a number from 1 to 12)?
- Plastic pipe
Calculate the plastic pipe's weight with diameter d = 100 mm and length 330 cm if the wall thickness is 4 mm and the density of plastic is 1346 kg/m³.
- Tower
How many m² of the copper plate should be replaced on the roof of the conical tower shape with a diameter 23 m, and the angle at the axial section's vertex is 119°?
- N-gon II
What is the side length of the regular 9-gon circumscribed circle of radius 13 cm?
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