Math practice for 13 year olds - page 212 of 415

Number of problems found: 8281

Combinations and eggs
You have colored 4 red eggs, 3 green, 4 yellow, 5 blue, and 5 white. A caroler stops by you, and you decide to give him three eggs of different colors. How many options (different color combinations) do you have for gifting a caroler?
The shooter
The shooter heard the bullet's impact on the target one second after the shot. The bullet was moving at an average speed of 500 m/s. Calculate with the speed of sound of 340 m/s. Determine the distance of the target.
Base of an isosceles triangle
Calculate the size of the base of an isosceles triangle; the height is 5 cm, and the arm's length is 6.5 cm. What is the perimeter of this triangle?
Identical line
In which triangles is the line identical with the height?
Lotto winnings distribution
Three friends submitted a lotto for €600. Karel gave €250, Laco €200, and Josef gave the rest. They won €15,000 and shared the winnings in the same proportion as they contributed to the sport. How many euros did Josef receive?
Hectares of forest
Twelve workers plant 24 ha of forest in 6 days. How many days will it take 15 workers to plant the same area, and how many days will it take 12 workers?
Anniversary age calculation
Mr. and Mrs. Smith announce the celebration of their 190th anniversary - that's how many years they've been together this year. How old are Mr. Smith and Mrs. Smith if we know that Mr. Smith is nine years older than Mrs. Smith?
Height of the cuboid
Cuboid with a rectangular base, measuring 3 cm and 4 cm diagonal, has a body 13 centimeters long. What is the height of the cuboid?
Pool filling calculation
The 300 liters per minute water starts to flow into the empty pool. We will fill the pool in 5 hours. How long would it take to fill a pool with a more powerful 750 L pump per minute?
Earnings hour division
Two workers worked on a joint task: One worked 36 hours and the other 40 hours. Earnings of 11400 are divided by the ratio of hours worked. How much did everyone get?
Material consumption
The sphere-shaped reservoir has a volume of 282 hl. Calculate the material consumption in m² for its production, assuming 8% for joints and waste, and round the final result to the nearest integers.
The regular
The regular quadrilateral pyramid has a volume of 24 dm³ and a height of 45 cm. Calculate its surface.
Salary reduction calculation
The employer reduced Mr. Mak's salary by 4:5. If he received € 720 in his account, how much did he initially earn?
Trapezoid area perimeter
Calculate the area and perimeter of the building plot in the shape of an isosceles trapezoid with a base of 120 m, 95 m, and a height of 50 m.
Risotto ingredient calculation
To prepare poultry risotto for 4 diners, we need 200 g of rice, 150 g of mushrooms, 150 g of peas, 300 g of chicken, 600 ml of stock, and 5 g of salt. What amount of ingredients do we need for 10 diners?
Cyclist pedestrian speed
Cyclist speed and pedestrian speed are in the ratio of 16:3. The pedestrian will drive 4.5 km per hour. How many cyclists will travel in 2 hours?
Drink coconut percentage
The mixed drink consists of 1.5 dcl of pineapple juice and 0.5 dcl of coconut syrup. Klára ordered it sweeter, so the bartender changed the volume of coconut syrup to a ratio of 3:2. What percent of the drink is now coconut syrup if the volume of the juic
Salary increase
Mr. Novak's monthly salary is CZK 25,150. It will increase by 8.5% from next month. Calculate by how much his salary increases and how much CZK he will receive per month.
Medians in RT
The rectangular triangle ABC has a length of 10 cm and 24 cm. Points P, Q, and R are the centers of the sides of this triangle. The perimeter of the PQR triangle is:
Linear function
Write the following problems using x as the unknown variable, using one of the following forms: x+p=q or px=q. Larry ran seven more miles than Barry in a month; if Larry ran 20 miles, how many did Barry run?

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