Math practice for 13 year olds - page 238 of 425
Number of problems found: 8485
- Two math problems
1) The sum of twice a number and -6 is nine more than the opposite of that number. Find the number. 2) A collection of 27 coins, all nickels, and dimes worth $2.10. How many of each coin are there? The dime, in United States usage, is a ten-cent coin. In
- Pine's forest
There were so many pines in the forest that they were sequentially numbered 1, 2, 3,..., and would use three times more digits than the pine trees alone. How many pine trees were there in the forest?
- Possibilities 8450
There are 11 pupils in the group, among them just one Martin. How many possibilities are there for distributing 4 different books to these pupils if each is to receive at most one and Martin just one of these books".
- Equation with mixed fractions
2 3/5 of 1430+? = 1900. How to do this problem?
- The quotient of two numbers
Find the quotient of 229.12 and 12.32
- Working alone
Tom and Chandri are doing household chores. Chandri can do the work twice as fast as Tom. If they work together, they can finish the work in 5 hours. How long does it take Tom to work alone to do the same work?
- Bag of peanuts
Joe eats 1/3 of a bag of peanuts, Mark eats 1/4 of the remaining in the bag of peanuts, Alvin eats 1/2 of the remaining bag of peanuts, Peter eats ten peanuts, and there are 71 peanuts left. Hon many peanuts were in the bags?
- Square 8420
How many square prisms are there if the length of one side is 100mm and the total length of the prism is 4000mm, and it can fit into one cubic meter?
- Ratio of volumes
If the heights of two cylindrical drums are in the ratio 7:8 and their base radii are in the ratio 4:3. What is the ratio of their volumes?
- Two cities
Cities A and B are 200 km away. At 7 o'clock from city A, the car started at an average speed of 80 km/h, and from B at 45 min later, the motorcycle started at an average speed of 120 km/h. How long will they meet, and at what distance from point A will i
- Three tributaries
It is possible to fill the pool with three tributaries. The first would take 12 hours, the second 15 hours, and the third 20 hours. The day before the summer season began, the manager opened all three tributaries simultaneously. How long did it take to fi
- Probability 8408
From the group of 18 players I am, the coach selects nine players. What is the probability that I will be among the players chosen?
- Quadrilateral 8405
Calculate the magnitude of the largest inner angle and the deviation of the diagonals in the quadrilateral, whose vertices correspond to points 1, 5, 8, and 12 on the dial.
- Ratio of sides
Calculate the area of a circle with the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in a ratio of 2 to 7.
- Temperature difference 2
The temperature in London on New Year's Day is -2 degrees Celsius. The temperature in Prague on the same day is -14 degrees Celsius. What is the temperature difference between the two cities?
- Circumference 8395
The circle's circumference is 321 dm larger than the diameter of the circle. What is the average?
- A kite
ABCD is a kite. Angle OBC = 20° and angle OCD = 35°. O is the intersection of diagonals. Find angle ABC, angle ADC, and angle BAD.
- Two cubes
The surfaces of two cubes, one of which has an edge of 22 cm longer than the second, differ by 19272 cm². Calculate the edge length of both cubes.
- Rectangular trapezoid
In a rectangular trapezoid ABCD with right angles at vertices A and D with sides a = 12cm, b = 13cm, c = 7cm. Find the angles beta and gamma and height v.
- Motorcyclist 8375
The distance from point A to point B is 40 km. And a cyclist left at 9:00 a.m. at a speed of 20 km/h. At 9:30 a.m., a motorcyclist drove against him from place B at 40 km/h. At what time and at what distance from A do they meet?
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