Math practice for 13 year olds - page 293 of 413
Number of problems found: 8253
- Unadjusted clock
Matej was finding out how precisely the tower clock measures time. He came to the conclusion that if no one adjusted it on an ongoing basis, it would show completely exact time once every 200 days. a) Calculate by how many seconds the time measured by the - Smallest Asymmetric Power
Find the smallest natural number k for which the number 11 on k is asymmetric. (e.g. 11² = 121) - Cake duration
Four children eat ten cakes in 30 minutes. How many minutes will it take nine children to eat 27 cakes? - Adela number
Adela had two numbers written on the paper. When she added their greatest common divisor and least common multiple, she was given four different numbers less than 100. She was amazed that if she divided the largest of these four numbers by the least, she - MO Z9–I–3 - 2017
Robots Robert and Hubert assemble and disassemble coffee grinders. Each of them assembles a grinder four times faster than he disassembles one himself. When they came to the workshop in the morning, several grinders were already assembled there. At 7:00 H - Gear train
A gear train is assembled from three gear wheels. The first has 165 teeth, the second 132 teeth, and the third 231, where the second engages with the first and the third with the second. The first and third do not touch. How many times per minute will all - Target probability
Viktor shot darts into a circular target with a radius of 5 cm. Inside the circle is a smaller circle with a radius of 2 cm. Calculate Viktor's chance of hitting a smaller circle in percent. - Holiday trip
Paul is saving for the holiday trip. He received 1100 CZK from his father. He saved a fifth and received the rest 500 CZK from his mother. How much did his holiday trip cost? - The ladder
A ladder is 10 m long and reaches a height of 8 m on a wall. How far is the base of the ladder from the wall? - Walkers
Walker, which makes 120 steps per minute, makes the distance from point A to point B 55 minutes. The length of his step is 75cm. How long does this distance go, a boy who will do 110 steps 60 cm long in a minute? - Football field area
A football field for an interstate match must be between 100 m and 110 m long and between 64 m and 75 m wide. Calculate the area of the smallest and largest fields corresponding to the conditions. - Functions f,g
Find g(1) if g(x) = 3x - x² Find f(5) if f(x) = x + 1/2 - Weekend percentage
What percentage in a non-transferable year are Saturday and Sunday? - Container
The container has a cylindrical shape, the base diameter is 0.8 m, and the area of the base is equal to the area of the wall. How many liters of water can we pour into the container? - MO8-Z8-I-5 2017
Identical rectangles ABCD and EFGH are positioned such that their sides are parallel to the same. The points I, J, K, L, M, and N are the intersections of the extended sides, as shown. The area of the BNHM rectangle is 12 cm², the rectangle MBCK area is 6 - Missing pupils
There are 32 pupils in the class. How many pupils were missing from school if 12.5% were absent? - Box metal
A box is shaped like a cube with an edge of 52 cm. How many m² of sheet metal are needed to make the box with a lid? Add 5% for the folds of the lid and walls. - Computer course
There are 32 pupils in the class. A quarter of them attend a computer course. What percentage of the total number of students in the class do not attend a computer course? - Radio price
After technical improvements, the radio receiver, whose price was 220 €, was auctioned for 20%. He was later reduced by 15% of the new price. What was its final price? - Lunch cost In a specific Czech company, each employee pays 40% of the lunch price, and the remaining CZK 33 is contributed by the employer. What is the cost of lunch?
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