Math practice for 13 year olds - page 210 of 413
Number of problems found: 8260
- Diameter = height
The cylinder's surface, the height of which is equal to the diameter of the base, is 4239 cm square. Calculate the cylinder volume. - Bricklayers
The first bricklayer would build a wall in 3 days, the second in 4 days. The first bricklayer worked alone for a day, then the second bricklayer came to his aid and finished the work together. How long did it take to build the wall? - The Earth
The Earth's surface is 510,000,000 km². Calculates the radius, equator length, and volume of the Earth, assuming the Earth has the shape of a sphere. - Plums
By drying 3 kg of fresh plums, we obtained 750 g of dried plums. How many kilograms of fresh plums need to be dried if we want 1.5 kg of dried plums? - Crayon set purchase
They bought 22 sets of crayons for the school group. Larger sets cost CZK 65, and smaller ones cost only CZK 50. They paid CZK 1,280 for all sets. How many individual types of crayon sets did they buy? - Pool pump filling
Before the World Water Polo Championships, it was necessary to fill the pool. The first pump would fill in 12 hours, the second in 15 hours, and if all three pumps were started simultaneously, they would fill the pool in 4 hours. How long would the pool b - Juice price calculation
Ms. Parker bought 6 orange and 5 apple juices and paid a total of 254 CZK. Mrs. Davis bought 6 apple juice and 5 orange juice and paid CZK 2 less for them than Mrs. Parker. How much did each juice cost? - Wall and body diagonals
The block/cuboid has dimensions a = 4 cm, b = 3 cm, and c = 12 cm. Calculate the length of the wall and space diagonals. - Emilio
Emilio made 69 potholders. Each potholder cost him $2.81 to make. How much profit will he make if he sells each potholder for $3.12? - Flower seedling purchase
Mrs. Beránková bought flowers for spring planting. Begonias were CZK 35 each, and geraniums CZK 48 each. She paid CZK 1,070 for 25 seedlings. How many begonia seedlings and how many nutmeg seedlings did she purchase? - Tower building time
Two cardholders will build a tower of cards in 0.5 hours. In how many hours will five such a tower be built? - Employee bonus calculation
The company has 1,440 employees (men and women). 18.75% of all men and 22.5% of all women received bonuses for above-average results. A total of 20% of employees were rewarded with bonuses. How many men and how many women are employed in the company? - Camp boy girl
Sixty-three children went to the camp. There are seven more boys than girls. How many boys went to the camp, and how many girls? - Sheets into container
How many sheets need to be closed on the block-shaped container above), which is 4 m wide, 250 cm long, and 35 dm high? How many liters of water can fit in it? - Similarity of two triangles
The KLM triangle has a side length of k = 6.3 cm, l = 8.1 cm, m = 11.1 cm. The triangle XYZ has a side length of x = 8.4 cm, y = 10.8 cm, z = 14.8 cm. Are triangle KLM and XYZ similar? (write 0. If not, if yes, find and write the coefficient of a similari - Honor student calculation
Six 7th graders, representing 24% of all graders, had honors. How many students are in the class? - Rectangle ratio dimensions
The circumference of the rectangle is 40 cm. Find the rectangle size if you know the sides are in a 4:1 ratio. - Clock hands
Calculate the internal angles of a triangle whose vertices lie on the clock's 2, 6, and 11 hours. - A kite
Children have a kite on an 80 m long rope, which floats above a place 25 m from the place where children stand. How high is the kite floating above the ground? - Circle radius increase
When we increased the circle's radius by 2 cm, its area increased by 40π cm². Determine the radius of the circle before magnification.
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