Math practice for 13 year olds - page 224 of 413
Number of problems found: 8260
- Tourist speed puzzle
If a tourist reduced his speed by 1 km/h, he would walk less than 12 km in 3 hours. If he added to the step by 1 km/h, he would walk more than 25 km in 5 hours. How fast is the tourist? - Perimeter of the circle
Calculate the circumference of a circle in dm whose radius equals the side of a square with an area of 0.49 dm². - Quadrilateral prism + water
We poured water up to a height of 34 cm into a container of a regular quadrilateral prism with a base edge a = 10.6 cm and a wall diagonal of 3.9 dm. We then inserted a 6 cm long cylinder with a diameter of 10 cm. How many liters of water overflowed? - Scholarship
The annual scholarship for the best and second-best student in the class is 3500 euros. The best student scholarship in 8 months is the same as the second-best student scholar in the class for the whole year. How big is the annual scholarship to be the fi - Baking muffins
Aunt Polly is baking muffins at a speed of 4 muffins per minute. Tom comes into the kitchen when Aunt Polly has 12 muffins and begins to eat these muffins at a speed of 6 muffins per minute. When he finally leaves the kitchen, there are four muffins at th - A square base
A solid right pyramid has a square base. The base edge length is 4 centimeters, and the pyramid's height is 3 centimeters. What is the volume of the pyramid? - Panel house
The construction company has two groups of workers. Group A has more members than B. The Panel house was insulated by group A for ten days. They insulated the same block of flats together for 6 days. How many days would group B block insulate? - Cylinder
The 1.8m cylinder contains 2000 liters of water. What is the area (in dm2) of this container is the water? - Express train meeting
At 8:00 a.m., an express train left Bratislava for Poprad, which was 340 km away. At the same time, an express train left Poprad for Bratislava. The express train to Bratislava went at a speed of 80 km/h, and the express train to Poprad went at a speed of - Regular hexagonal pyramid
Calculate the height of a regular hexagonal pyramid with a base edge of 5 cm and a wall height of w = 20 cm. Sketch a picture. - Pyramid volume calculation
Calculate the volume of a regular quadrilateral pyramid whose wall height is w = 12 cm. - Square diagonal construction
There are three different points, C, E, and F, in the plane. Please draw the square ABCD when E and F lie on the diagonals of this square. How many solutions does the task have? - Wall area calculation
A wall is $m metres long and $v metres high. A door $b centimetres high and $d centimetres wide is set into the wall. Find the total area of this wall (excluding the door). - Possible lengths
Find the possible lengths for the third side of a triangle with sides 20 and 18. - Pinwheel probability calculation
Three types of pinwheels are on the tray: two caramel, four coffee, and one vanilla. Jurko chose one dessert. What is the probability that he decided on a coffee pinwheel? - Number proportion sum
Please write the number 140 as the sum of two numbers whose proportion is 3. - Pairs of socks
Ferdinand has twelve pairs of socks, and one sock is leaky. What is the probability of putting on a leaky sock? - Hexagonal pyramid
Please calculate the height of a regular hexagonal pyramid with a base edge of 5 cm and a wall height of w = 20 cm. Please sketch a picture. - Mary
Mary is 12 years old, which is 40% of the age of her mother. How many percent of her mother's age will Mary have after the next 12 years? - Machine production calculation
Ten machines produced newspapers in 18 hours, and two machines rang for 2 hours. Thus, the production took 18 hours.
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