Maths practice for 14 year olds - page 35 of 361

Number of problems found: 7217

Painters 5
Six painters were supposed to paint 6,000 m² within the planned time. Two painters fell ill, so each of the four remaining had to paint 50 m² more per day than the original planned daily output. Calculate the original planned daily output per painter.
John and Thomas
John and Thomas received 105 CZK from their grandmother together. John received one third more than Thomas. By how many CZK did Thomas receive less than John?
How big is 4
How large is the angle in a right triangle if one leg is 20 m and the other leg is 1.5 m?
In the library
We have 8 different books in a library. In how many ways can they be arranged? In how many ways can they be arranged if 3 specific volumes must appear in a fixed given order? In how many ways can they be arranged if three specific volumes must appear cons
Grass Mixture
Peter plans to buy a grass seed mixture consisting of meadow grass and fescue seeds for 40 euros total. 1 kg of meadow grass costs 6 euros and 1 kg of fescue costs 10 euros. How much of each should he buy if the resulting mixture is to weigh 6 kg?
Ice + water
A rectangular ice rink measuring 60 m × 30 m had a layer of ice 3 cm thick. How many litres of water were used to create the ice?
Vegetables - slime
A private vegetable grower can complete the harvest in 12 hours, and his son in 10 hours. How long will they take to harvest together?
Small interest 3
Thomas had a certain amount of money in his account, which earned him €64 in interest over a year at an annual interest rate of 2%. What would be the interest on the same amount if the annual interest rate were 3.5%?
Equality of Moments
A lever with a mass of 3 kg and a length of 2 m has weights of 5 kg and 8 kg attached at its two ends. Find the point 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 10 cm and 4 cm and the slant height of the lateral face is 5 cm.
Worker 8
A worker has a standard output of 15 products in 8 hours, but produced them in 6.5 hours. By what percentage did he exceed the plan?
Me and my father
My father and I are currently 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
The legs of a right triangle are in the ratio 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 and the height of an isosceles trapezoid if a = 9 dm, the leg is 6 dm, and angle ACB = 90°?
Nuts 8
Peter divided nuts between two friends. Each friend received a quarter of all the nuts plus two more nuts. Peter had two nuts left. How many nuts did he have originally?
Large 2
A large gear has 72 teeth, a medium gear has 56 teeth, and a small gear has 27 teeth. How many revolutions will the smallest gear make when the largest gear turns 120 times?
Calculate 449
Calculate the size of the angle formed on a clock face by the lines connecting the centre to the positions at 7:12 and 1:24.
Daniel 3
Daniel and Eve earned 180 euros together. Daniel earned 70 euros more than Eve. How much did Daniel earn, and how much did Eve earn?
Three friends 10
Three friends Peter, Thomas, and George earned 4,000 CZK from part-time work. Peter earned three times more than Thomas, and George earned 500 CZK more than Thomas. How much did each of them earn?
In a regular 5
In a regular triangular prism ABCV, the angle between the lateral face and the base plane is α = 45°. Determine the angle between the lateral edge and the base plane.

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