Math practice for 13 year olds - page 224 of 415
Number of problems found: 8281
- Two accounts
A banker divided $5000 between 2 accounts, one paying 10% annual interest and the second paying 8% annual interest. Express the amount invested in the 10% account in terms of the amount invested in the 8% account. - Mine temperature calculation
The earth's temperature rises to a depth of about 1 °C at 33 meters. What is the approximate temperature at the bottom of a mine 1090m deep? If at a depth of 100m, the temperature is 11 °C? - Square triangle area
Square has the side a = 12 cm. Calculate the area of a triangle in the square. - Vlado step calculation
Vlad walks at a speed of 4 km/h. Its step is 0.8 m long. How many steps will he take in 12 minutes? - Harvester field calculation
Five combine harvesters shit in 12 days. How long does a 2-fold larger field of combine harvesters take? - Circle radius calculation
Point B is the center of the circle. The line AC touches the circles at point C and applies AB = 20 cm and AC = 16 cm. What is the radius of the circle BC? - Two trains
Two trains departed from City A and City B against each other. They met after some time. The first train took 9 hours to reach city B, and the second took 4 hours to reach city A. In what proportion were the train speeds? - Length of the edge
Find the length of the edge of a cube with a cm² surface and a volume in cm³ expressed by the same number. - Rocket speed development
The rocket develops a higher speed, which is: a) higher velocity of escaping gases b) higher mass of escaping gases c) greater momentum of escaping gases d) shorter rocket length - Cube surface volume
How many percent will it increase a) surface b) cube volume if the edge of the cube increases by 25%? - There
There is a stretched steel cable between the three columns. The height of the first column is 4 m, and the height of the second is 3.5 m. The distance between the first two columns is 2.5 m, and the distance between the second and third is 5 m. The heels - The Indian tent
The Indian tent is cone-shaped. Its height is 3.5 m. The diameter of the base is 2.5 m. How much canvas is needed to make a tire? - Flower bouquet calculation
Three-fifths of the flowers are red, and eight flowers are yellow - how many bouquets of red and yellow flowers do they have? - Unknown number
15% of the unknown number is 18, less than 21% of the same number. What is the unknown number? - 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?
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