Math practice for 13 year olds - page 397 of 422
Number of problems found: 8429
- Well
A rope with a bucket is fixed on the shaft with the wheel. The shaft has a diameter of 45 cm. How many meters will drop bucket when the wheels turn 7 times?
- Two cars
Car A1 goes at an average speed of 106 km/h, and the second car, A2, goes at 103 km/h. How many seconds will it take car A1 to circulate car A2? Assume that both cars are 5 meters long and the safety gap between cars is 1.5 meters.
- Inscribed rectangle
The circle area is 216. Determine the area of the inscribed rectangle with one side 5 long.
- Tachometer
Tatra's tachometer shows the initial state 886123 km this morning. Today, Tatra travels at an average speed of 44 km/h. Determine the function that describes the Tatra's tachometer depending on the time. What is the state of the tachometer after 4 hours?
- ISO trapezium
Calculate the area of an isosceles trapezoid with base 95 long, leg 27 long, and with the angle between the base and leg 70 degrees.
- Alcohol 2
Two types of alcohol, one 46% and second 64%, give 16 liters of 54% alcohol. How many liters of each type are in the mixture?
- V - slope
The slope of the line whose equation is -6x +7 = 0 is
- New refrigerator
The new refrigerator sells for 836 Euro. Monday will be 25% discount. How much will Euro save, and what will be the price?
- Slope form
Find the equation of a line given the point X(8, 1) and slope -2.8. Arrange your answer in the form y = ax + b, where a and b are the constants.
- Double percent
What is 40% of 80% of 11800?
- Line segment
For the line segment whose endpoints are L[-1, 13] and M[18, 2], find the x and y values for the point located 4 over 7, the distance from L to M.
- CD disc
A compact disc has a diameter of 11.8 cm. What is its surface area in square centimeters?
- 30-60-90
The longer leg of a 30°-60°-90° triangle measures 5. What is the length of the shorter leg?
- Diameter
If the endpoints of the diameter of a circle are A(-9, 10) and B (-5, -4), what is the circle's radius?
- Chord - TS v2
The radius of circle k measures 72 cm. Chord GH = 11 cm. What is TS?
- Rhombus diagonal
The area of a rhombus is 790. One diagonal measures 45. Find the length of the second diagonal.
- Dog
The man went with a dog on a long walk 17 km from the house. The man is walking at a speed of 4.9 km/h. A dog constantly runs between the house and the man at 12.6 km/h. How many kilometers will the dog run when they reach its destination?
- EQL triangle
Calculate the inradius and circumradius of an equilateral triangle with side a=77 cm.
- Gasholder
The gasholder has a spherical shape with a diameter of 26 m. How many cubic meters (m³) can hold in?
- Flowerbed 2
Around the square flower bed in a park is a sidewalk about 1.3 m wide. The area of this sidewalk is 246 m². What is the area of the flowerbed?
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