Math practice for 13 year olds - page 173 of 414
Number of problems found: 8280
- Odd prime probability
What is the probability that an odd prime will fall on a dice roll? - Odd compound probability In the entertainment lottery, they draw one number from 1 to 35. What is the probability that they will draw an odd compound number?
- Boy selection probability
Six boys and nine girls played in the school group. What probability will they point to the boy when they are reproached? - Pyramid surface volume
A quadrilateral pyramid has a square base 4 cm long, the height of the pyramid 5 cm, and the height of the wall 5.4 cm. Find the surface and volume of a quadrilateral pyramid. - Apples investment
The merchant bought a certain amount of apples and paid one denarius for every seven apples. The next day he sold all the apples for one denarius for five pieces and earned 12 denarii. How many apples did he originally buy, and how many did he have to inv - Land acre purchase
The price for 1 acre of good land is 300 gold coins, and the price for 7 acres of bad land is 500 gold. The buyer bought a total of 100 acres for 10,000 guilders. How many acres of good and how many acres of bad land did he buy? - A plane vs. sphere
The intersection of a plane is 2 cm from the sphere's center, and this sphere is a circle whose radius is 6 cm. Calculate the surface area and volume of the sphere. - Pigs
A buyer said, "I want to buy 100 pigs for 100 denarii. An adult pig costs ten denarii, a sow five denarii, and two little piglets are worth one denarius. " How many pigs, cows, and piglets could he buy for exactly 100 denarii? - Triangle area percentage
A right-angled triangle ABC has sides a = 5 cm, b = 8 cm. The similar triangle A'B'C' is 2.5 times smaller. Calculate the percentage of the area of triangle ABC that is the area of triangle A'B'C'. - Strawberry harvest
Thirty-six women earned € 2,640 in 5 days during the strawberry harvest. How much € 24 will women earn in 8 days under the same conditions? - Height - the ladder
At what height does the 15 m ladder touch the wall if its lower end is 2.5 m away from it? - Largest possible cone
It is necessary to make the largest possible cone from an iron rod in the shape of a prism with dimensions of 5.6 cm, 4.8 cm, and 7.2 cm. a) Calculate its volume. b) Calculate the waste. - The length 2
The length of a rectangle is 12y² – 15y + 8, and the width is 7y – 11. Find the area of the rectangle. - Roller dice weight
Two rollers weigh the same as three dice. One roller with two dice weighs the same as three with a weight of 250 grams. How many grams does the roller weigh, and how many dice? - Tourist group meeting
From Tatranská Lomnica to Ždiar, 40 km apart, two groups of tourists went opposite each other. Pedestrians left Tatranská Lomnica at 9:00 AM at an average speed of 4 km/h. Cyclists from Ždiar at 9:30 at an average speed of 15 km/h. When will they meet? At - Brno-Tachov highway
The distance Brno-Tachov is 360 km. At 8:00 AM, a car travels from Brno on the highway at an average 90 km/h speed. An hour later, a vehicle leaves Tachov towards Brno, whose average speed is 110 km/h. Calculate how far apart they will be at 11:00 AM when - There 5
There were 429 people at the play. Admission was 50 pesos each for adults and 35 pesos each for children. The receipts were 17265 pesos. How many adults and how many children attended? - Blood alcohol
The 80-kilogram man who caused the car accident had 2.5% blood alcohol. Determine how many grams of alcohol he had in his blood if the blood made up 8% of a person's weight. - The cost
The amusement ticket costs 250 pesos for children and 500 pesos for adults. On a certain day, attendance at the park is 2,000, and the total revenue is 750000 pesos. How many children and how many adults bought the tickets? - Determine
Determine the salary of a part-time worker if the employer deducted (taxes, etc.) 840 euros from him, which was 6/50 of his salary.
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