Math practice for 13 year olds - page 197 of 428
Number of problems found: 8557
- Shoemaker
Both the shoemaker and his apprentice repaired his shoes. The apprentice worked for six days and repaired ten pairs of shoes daily. The shoemaker did the same job for four days. How many pairs of shoes did the shoemaker repair per day? - Roof material calculation
The house's roof has the shape of a regular four-sided pyramid 4 m high with a base edge of 100 dm. We consider 30% of the roofing in addition to the overlap. Calculate how much m² of roofing is needed to cover the roof. - Cone surface volume
The rotating cone has a base circumference of 62.8 cm. And a height of 0.7 dm. Calculate its surface area and volume. - Bronze ball weight
One cubic decimeter of bronze weighs approximately 8.7 kg. Find the ball's weight (diameter 32 cm), and round the result to kilograms. - Hydrogen peroxide dilution
We need a 4% solution of H2O2 (hydrogen peroxide) for the disinfection solution. We only have a 40% solution available. How much water must we add to 100ml of the original solution to obtain the desired concentration? - Sailboat
The 20 m long sailboat has an 8 m high mast in the middle of the deck. The top of the mast is fixed to the bow and stern with a steel cable. Determine how much cable is needed to secure the mast and what angle the cable will make with the ship's deck. - The Europe
The map of Europe is made at 1:4000000, and the distance between Bratislava and Paris is 28 cm. When will an airplane flying 800 km/h fly this journey? - Similarity coefficient
In the triangle TMA, the length of the sides is t = 5cm, m = 3.5cm, and a = 6.2cm. Another similar triangle has side lengths of 6.65 cm, 11.78 cm, and 9.5 cm. Determine the similarity coefficient of these triangles and assign similar sides to each other. - Bicycle meeting calculation
Dan and Honza live 4 km from each other. They agreed to meet on the way between the two homes. Dan went out at 2 p.m. at a speed of 5 km/h. Honza rode towards him on a bicycle at 15 km/h. What time did they meet, and how far did John travel? - Chord of triangle
If the whole chord of the triangle is 14.4 cm long, how do you calculate the shorter and longer parts? - Ferris wheel speed
The Ferris wheel in London has a diameter of 135 meters, and one turn takes about 30 minutes. At what speed per second do the cabins move around the perimeter of the London London Eye? - Beer tapping
When checking compliance with the beer tapping, it was found that 60% of the offered beers were underfilled. The others were fine. Thus, instead of 0.5 l, the volume was 4.4 deciliters on average. What was the volume of one average underfilled beer? - Receiving heat
How many degrees Celsius was an iron cylinder weighing 300 g heated in a water bath if it received heat of 7.2 kJ? (specific heat capacity of iron c = 0.46kJ/kg/ºC) - Square side calculation
Calculate the length of the side of the square if the size of the diagonal u = 9.9 cm is entered. - Number sum difference
The sum of 2 numbers, x, and y, is 80, and their difference is 16. Determine the numbers x and y. - Aquarium height calculation
The cuboid-shaped aquarium has the dimensions of the bottom: a = 0.7 m, b = 0.4 m. if it is filled to 90% of its volume and contains 75.6 liters of water? - Tree planting calculation
The tourist section planted 145 trees, 16% more than planned. What was the original plan? - Final price
The bookshop reduced the book's original price of CZK 850 by 20%. It was raised by 20% of the new price in a week. Find the final price of the book. How much percent of the original price of the book is the final price? - Final exam
At the final exam, the student answers from three areas, which are evaluated in a ratio of 1:2:2. What grade will John receive if he replies as follows: 3,1,2. - Banknote distribution
We have the amount of 1,250 euros in banknotes of 100 and 50 euros. We have a total of 17 banknotes. How many are there?
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