# Algebra - math word problems

#### Number of problems found: 2866

• Divisors
Find all divisors of number 493. How many are them?
• Motion2
Cyclist started out of town at 19 km/h. After 0.7 hours car started behind him in the same direction and caught up with him for 23 minutes. How fast and how long went car from the city to caught cyclist?
• Cone A2V
Surface of cone in the plane is a circular arc with central angle of 126° and area 415 cm2. Calculate the volume of a cone.
• Right
Determine angles of the right triangle with the hypotenuse c and legs a, b, if: ?
• Euclid3
Calculate height and sides of the right triangle, if one leg is a = 81 cm and section of hypotenuse adjacent to the second leg cb = 39 cm.
• Right isosceles
Calculate area of the isosceles right triangle which perimeter is 41 cm.
• Euclid1
Right triangle has hypotenuse c = 27 cm. How large sections cuts height hc=3 cm on the hypotenuse c?
• Square diagonal
Calculate the length of diagonal of the square with side a = 23 cm.
• Lines
Five bus lines runs at intervals 3, 6, 9, 12, 15 minutes. In the morning, suddenly start at 4:00. After how many minutes the bus lines meet again?
• Purchase
Three buyers pay € 468. The first paid 3-times more than second, third half over second. How many euros paid each of them?
• Circles
The areas of the two circles are in the ratio 2:20. The larger circle has diameter 20. Calculate the radius of the smaller circle.
• Numbers
Determine the number of all positive integers less than 4183444 if each is divisible by 29, 7, 17. What is its sum?
• Lines
In how many points will intersect 14 different lines, where no two are parallel?
• Sequence 3
Write the first 5 members of an arithmetic sequence: a4=-35, a11=-105.
• Balance
The rod are 1.9 m long hanging weights 4 kg and 1 kg on ends. Where are centre of rod (distance from weight 4 kg) to be in balance?
• Sequence 2
Write the first 5 members of an arithmetic sequence a11=-14, d=-1
• Gear
Two gears, fit into each other, has transfer 2:3. Centres of gears are spaced 82 cm. What are the radii of the gears?
• Sequence
Write the first 7 members of an arithmetic sequence: a1=-3, d=6.
• Resistors
Two resistors connected in series give the resulting resistance 65Ω and 10.4Ω in parallel. Determine the resistance of these resistors.
• Cubes
Surfaces of cubes, one of which has an edge of 48 cm shorter than the other, differ by 36288 dm2. Determine the length of the edges of this cubes.

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