Maths practice for 14 year olds - page 33 of 369

Number of problems found: 7364

Grass Mixture
Peter plans to buy a grass mixture consisting of meadow grass and fescue seeds for 40 euros. 1 kg of meadow grass costs 6 euros and 1 kg of fescue costs 10 euros. How much of each component should he buy if the resulting mixture is to weigh 6 kg?
Ice + water
A rectangular ice rink measuring 60 m by 30 m had a layer of ice 3 cm high. How many liters of water were used to create the ice?
Vegetables - slime
A private vegetable grower harvests in 12 hours, and his son in 10 hours. How long will they harvest together?
Small interest 3
Tomáš had a certain amount of money in his account, which earned him €64 in interest for a year at an interest rate of 2% p. a. What would be the interest on the same amount if the annual interest rate was 3.5%?
Equality of Moments
A lever with a mass of 3 kg and a length of 2 m is loaded at the end with weights with masses of 5 kg and 8 kg. Find the place where the lever must be supported so that it is in balance.
4B - truncated pyramid
Calculate the volume of a regular truncated quadrilateral pyramid if the base edges are 10cm and 4cm and the height of the side wall is 5cm.
Worker 8
The worker has a work standard of 15 products in 8 hours, he produced them in 6.5 hours. By what % did he fulfill the plan?
Me and my father
My father and I are now 55 years old together. When we are 65 years old together, my father will be four times older than me. How old am I?
Legs and ratio
For the legs of a right triangle, a : b = 6:8. The hypotenuse has a length of 61 cm. Calculate the perimeter and area of this triangle.
RRL Basics
What is the length of the smaller base of an isosceles trapezoid and the height, if a = 9 dm, the side is 6 dm and the angle ACB is 90 degrees?
Nuts 8
Peter divided the nuts between two friends. Each friend received a quarter of all the nuts and two more nuts. Peter had two nuts left. How many nuts did he have when he started giving them away?
Large 2
The large wheel has 72 teeth, the smaller wheel has 56 teeth, and the small wheel has 27 teeth. How many revolutions will the smallest wheel make when the largest wheel turns 120 times?
Calculate 449
Calculate the size of the angle formed by 2 lines on the dial and formed by connecting the points 7.2 and 1.4.
Daniel 3
Daniel and Eva earned 180 euros together. Daniel earned 70 euros more than Eva. How much did Daniel earn, and how much did Eva earn?
Three friends 10
Three friends Peter, Tomáš and Jirka earned 4000 CZK working part-time. Peter earned three times more than Tomáš and Jirka earned 500 CZK more than Tomáš. How much did each of them earn?
In a regular 5
In a regular triangular prism ABCV, the deviation of the side wall and the base plane is α = 45°. Determine the deviation of the side edge and the base plane.
Matej 2
Matej, Marko, Milan, and Matúš had a total of 205 football player cards with signatures. Marko has four times more than Matej. Matúš had two times less than Marko. Milan had 20 cards less than Matúš. How many cards did each have?
In the domestic
In the domestic express train, there are 1st and 2nd class carriages. There are 2x more 2nd class carriages than 1st class. There are 10 compartments in each carriage. In 1st class, each compartment has 6 seats, and in 2nd class carriages, there are eight
How many 172
How many five-digit numbers are there that have exactly 2 fours and exactly 3 sevens in their notation?
Average time
Determine the average time required in minutes for one product, if it is known that 6 workers need 8 minutes, 15 workers 12 minutes, 5 workers 10 minutes, and 9 workers 13 minutes.

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