Maths practice for 14 year olds - page 37 of 319
Number of problems found: 6363
- Two-digit 82521
Karel had to multiply two two-digit numbers. Out of care, he changed the order of the digits in one of the factors and got a product that was 4,248 less than the correct result. What is the correct result? How much should Karl have earned?
- ABCDEFGH 82499
In the cube ABCDEFGH, the area of triangle ABK is √20 cm². How much cm² is the volume of ABGH in a cube if you know that K is the midpoint of edge CG?
- Calculate 82490
Calculate the area of an isosceles triangle ABC with a base of 10 cm and a side of 7 cm. Sketch a picture.
- Circumference 82489
An isosceles trapezoid has one base twice as short as the other. Its area is 42 cm², and its height is 4 cm. Calculate its circumference if you know that the arm is 5.3 cm long.
- Individual 82483
The tour of the castle takes 72 minutes, and the tour of the cellar took half the time compared to the tour of the interiors. In the garden, visitors then spent 20% of the time they were inside (in the cellar and the castle). How long did the tour of the
- Incorrectly 82480
Peter solves 40 examples. For a correctly solved example, he receives CZK 5 from his mother. For example, in a poorly solved case, he will pay 20 CZK to his mother. After solving all the examples, he had CZK 25 more than when he started counting. How many
- Denominations 82479
CZK 8,000 was paid out in fifty pieces of banknotes in denominations of CZK 100 and CZK 200. How many were there?
- Perpendicular 82473
In the right triangle KLM, the hypotenuse l = 9 cm and the perpendicular k = 6 cm. Calculate the size of the height vl and the line tk.
- Cone-shaped 82466
The cone-shaped glass has a volume of 2.5 dl and a diameter of 13 cm. How much cocktail is left in the glass if the level only reaches half the height of the glass?
- Difference 82461
Determine the difference in angular velocities of the clock hands. [rad/s] ω of clock hands =? ω minute hands =? ω second hands =?
- Diagonal of a cube
Calculate the volume of a cube with a wall diagonal of u = 20 cm.
- Rectangle 82456
The sides of the rectangle are in the ratio of 5 : 8. Its perimeter measures 208 cm. Determine the area of this rectangle.
- Scholarship 82450
University students increased their stipend by 20% and then again by 10%. Now he gets 99 euros. What was his original scholarship?
- Different 82447
How many 4 colored flags can be made from 5 colors so that each flag consists of three different colors?
- Motorcyclist 82445
Motorcyclist Arnošt begins to move on his motorcycle in a uniformly accelerated motion with an acceleration of 1.6 m/s². At what time will it reach a speed of 50 km/h? What distance will it travel at this time?
- Subtract 82442
I think of three numbers. When I add them, I get 15. When I subtract the third number from the sum of the first two numbers, I get 10. When I subtract the second number from the sum of the first and third numbers, I get 8. What number do I think?
- Children 82437
If 3 boys were added to the eighth grade, 50% of the class would be boys. If, on the other hand, 3 girls were added, they would make up 7/12 classes. How many children are there in the class?
- Grinding 82435
We get 80 percent flour by grinding grain. How much grain do we need to grind to get 400 kg of flour?
- Increased 82424
If I reduce the price of the product by 40%, this price will be 60% lower than if I increased the price of this product by 720 euros. What was the original price of the product?
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