Math practice for 13 year olds - page 57 of 429
Number of problems found: 8565
- Quadrilateral pyramid
The volume of a regular quadrilateral pyramid is 72 cm³. Its height is equal to the length of the base edge. Calculate the length of the base and the surface of the pyramid. - Equilateral shell The glass weight has the shape of a regular four-sided pyramid with a base edge of 10 cm. The shell walls are equilateral triangles. What is the weight in grams of the paperweight if the density of the glass is 2500 kg/m³?
- Production Increase Percentage
The company's monthly production increased from 352 products to 528 products. So, by what percentage did the original monthly production increase? - Cuboid Volume from Surface
The surface of the cuboid is S = 1714 cm². The edges are 25 and 14 cm long. Calculate its volume. - Married pairs
In how many ways can we seat five guests at a table, two of whom are married and want to sit next to each other? - Quadrilateral prism
The diagonal of section DBFH of the regular quadrilateral prism ABCDEFGH inscribes a circle with a diameter of 8 cm. What is the volume of the prism? - Calculate rhombus
Calculate the height of the rhombus ABCD on side BC if AB=7cm, BC=5.5cm, and the height of the first side on AB=4.4cm. - Real Numbers on Line
On the number line, display all real numbers greater than or equal to two and less than 5. - Peleton
In a cycling race, the peloton travels at an average speed of 36 km/h. One competitor took 5 minutes to repair a puncture. How many kilometers per hour was his speed greater than the speed of the peloton when he caught up with him in 20 minutes? How long - Pear apple price
The price of 6 kg of pears is CZK 77 higher than the price of 5 kg of apples. The price of 6 kg of apples is the same as the price of 5 kg of pears. How much are 2 kg of apples? - Evelyn garden plowing
Evelyn plows the garden in four hours, while her friend Doubravka can do it in three hours. Evelína started work at 1 p.m., and an hour later, Doubravka joined her so they could go swimming together. Calculate the time the girls can go to the swimming poo - Candy ratio division
Jana and Klara divided the candies in a ratio of 15:18. Klára got 90 candies. How many candies were there? - Petra chair work
Petra pushed a chair from one room to another with a force of 60N. She did 300 J of work. How far did Petra push the chair? - Bicycle wheel What is the diameter in centimeters of the wheel of a bicycle if it turns 2000 times on a track 4082 m long
- Equation fraction solving
Equations with fractions: 3y - y+3/4 = 1+y/2 - Cancel variations Evaluate the following expression with factorials: (45!-44!)/(44!)
- Company employee crisis
The company laid off employees during the crisis, so at the end of the crisis, it had 40% fewer employees than before the crisis. When the company hired 42 new employees after the crisis subsided, it had 25% more than at the end of the crisis. How many em - Perimeter of needle The perimeter of the four-sided needle is 48 m, and its height is 2.5 m; how much will the sheet metal for this pyramid cost? If 1m² costs €1.5, a 12% loss due to joints and folds is included in the area.
- Pyramid volume base What is the volume of a regular quadrilateral pyramid if its base edge a = √18 cm and side edge b = 5 cm?
- Show girl percentage
There were four times more girls than boys at the show. By what percentage were there more girls than boys at the show?
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