Maths practice for 14 year olds - page 296 of 362
Number of problems found: 7231
- Solution dilution
1.5 kg of a 20% NaCl solution should be diluted to a 10% solution with water. How much water will we need, and how many kilograms of diluted solution will we get? - Alcohol
How many cubic centimeters of 96% alcohol is needed to obtain 0.75 liters of 40% alcohol? - Alcohol mixing
How many liters of 80% alcohol need to be mixed with 4 liters of 40% alcohol to get 70% alcohol? How many liters of 70% solution do we get? - Two numbers sum
The sum of the two numbers is 52.5. The first number makes up 75% of the second number. Specify both numbers. - Solution
What amount of 80% solution and water is needed to mix to obtain two liters of 60% solution of this mixture? - Parallelogram sides
In the parallelogram ABCD, the side AB is three times longer than the side BC. The perimeter of the parallelogram is 20 cm. Find the lengths of the sides of the parallelogram. - Two-digit numbers
How many two-digit numbers can you create from the digits 7,0,1 and 5 if the numerals can be repeated? - Gp - 80
One of the first four members of a geometric progression is 80. Find it if we know that the fourth member is nine times greater than the second. - Digging
A pit is dug in the shape of a cuboid with dimensions 10mX8mX3m. The earth taken out is spread evenly on a rectangular plot of land with dimensions of 40m X 30m. What is the increase in the level of the plot? - Fog
The car started in fog at a speed of 30 km/h. After a 12-minute drive, the fog dissipated, and the driver drove the next 12-minute distance, 17 km. The driving conditions deteriorated during the last 17 km, and the driver drove at 51 km/h. a) Calculate th - Sum probability
Natural numbers 4,5,7,11,12 are given. Calculate the probability of the event that the sum of three randomly selected numbers is less than 22. - AP 6
Calculate the first five items of an arithmetic sequence if it is given: a2 – a3 + a5 = 20 a1 + a6 = 38 - Row pupils
There are 48 pupils in the third row and 17 more in each subsequent row than in the previous one. Find how many pupils there are in the first and tenth rows. - Water reservoir
The water reservoir is filled with one pump for four days by the second one for nine days. An outlet can drain the tank in 12 days. How long does it take to fill the reservoir if both pumps are running and not closed outlet channels? - Shadow and light
Nine meters height poplar tree has a shadow 16.2 meters long. How long does shadow have at the same time as Joe if he is 1,4 m tall? - Two numbers The sum of the two numbers is 98. The first number is 4/3 times larger than the second. What are the numbers?
- Centre of mass
The vertices of triangle ABC are from the line p distances 3 cm, 4 cm, and 8 cm. Calculate the distance from the center of gravity of the triangle to line p. - Cone area and side
Calculate a rotating cone's surface area and volume with a height of 1.25 dm and 17,8 dm side. - Cylinder surface area
The volume of a cylinder whose height is equal to the radius of the base is 678.5 dm³. Calculate its surface area. - Metals
Eight teams play in the Hockey World Cup. Determine how many ways gold, silver, and bronze medals can be awarded.
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