Math practice for 13 year olds - page 43 of 422

Number of problems found: 8427

John and Thomas
John and Thomas received 105 CZK from their grandmother together. John received one third more than Thomas. How many CZK did Thomas receive less than John?
How big is 4
How big is the angle when one side is 20m and the other is 1.5m in a right triangle?
In the library
We have 8 different books in the library. How many ways can they be arranged? How many possibilities are there if 3 volumes are to be in a certain order? How many possibilities are there if three volumes are to be in a row independently in order?
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?
Waffle, bar
Jarmila bought a wafer, a bar, and a chocolate bar. She paid 38 Sk. The bar was 8 Sk more expensive than the wafer, and the chocolate bar was four times more expensive than the wafer. How much did the wafer, bar, and chocolate bar cost?
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%?
Gross
The gross weight of meat in grams is 83. What is the gross weight of meat increased by 30% in grams? How is it calculated?
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?
From a full
From a full cylindrical glass with a diameter of 8 cm, we poured 1 deciliter of water. By how many centimeters did the water level in the glass drop?
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.
Boxes
Boxes in the shape of a cuboid/without a lid/we decided to paint all sides/both inside and outside. The dimensions of the bottom are 60 cm X 30 cm and the height is 12 cm. How many cans of paint will be needed to paint 10 such boxes if one can last for pa
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.
Storm 4
Approximately 4000 trees grow on 1 hectare of forest. During the storm of 20.11.2004, 95% of the trees on 100km² of the forest cover of the High Tatras were destroyed. How many trees were destroyed?
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?
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?
Calculate 263
Calculate the area of a rhombus whose diagonals are u=12, v=19

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