# Grade - math word problems

#### Number of problems found: 5415

• Diameter to area
Find the area of a circle whose diameter is 26cm.
• Powers 3
2 to the power of n divided by 4 to the power of -3 equal 4. What is the vaule of n?
• Locomotive
Whole loaded train weighs 760 tons. It has twenty wagons, each carrying 20 tons of grain and empty weighs 10 tons. How much weight a locomotive?
• Sum of two primes
Christian Goldbach, a mathematician, found out that every even number greater than 2 can be expressed as a sum of two prime numbers. Write or express 2018 as a sum of two prime numbers.
• Draw a trapezoid
Draw a trapezoid if given a = 7 cm, b = 4 cm, c = 3.5 cm, diagonal AC = 5cm. Solve as a construction task.
• Circle from string
Martin has a long 628 mm string . He makes circle from it. Calculate the radius of the circle.
• Turtles Žofka and Julka
Gray wolf kept in his tent turtles Žofka and Julka, which together have 200 years. After 50 years will Julka 2 times older than Žofka. How old are the turtles?
• Wood
Peter chops wood. If they cut down a half hours a day he ended work in 9 days. But Peter needs to end work 3 days earlier. How many minutes a day should cut down?
• Inclined plane
On the inclined plane with an angle of inclination of 30 ° we will put body (fixed point) with mass 2 kg. Determine the acceleration of the body motion on an inclined plane.
• Ratio - proportion
Reduce the number 16 in proportion 3:2 5:4 11:8
• Merchant
The merchant lower cost by 10% in December when it was not sold. Again in January lower cost by 20% and now costs 576 €. A. How much the goods stood originally? B, how much cost the goods after the first lowering? C, How many percents totally merchant l
• Thales
Thales is 1 m from the hole. The eyes are 150 cm above the ground and look into the hole with a diameter of 120 cm as shown. Calculate the depth of the hole.
• Truck and car
At 6h45min the truck started at a speed of 36 km/h. At 7h30m behind it a passenger car. Find the average speed of passenger car if it will catch truck 72 km away from the factory.
• Digits
Show that if x, y, z are 3 consecutive nonzero digits, zyx-xyz = 198, where zyx and xyz are three-digit numbers created from x, y, z.
• Odd numbers
The sum of four consecutive odd numbers is 1048. Find those numbers ...
• Diamond ABCD
In the diamond ABCD is the diagonal e = 24 cm and size of angle SAB is 28 degrees, where S is the intersection of the diagonals. Calculate the circumference of the diamond.
• Find two
Find two consecutive natural numbers whose product is 1 larger than their sum. Searched numbers expressed by a fraction whose numerator is the difference between these numbers and the denominator is their sum.
• The carpet
How many meters of carpet 90 cm wide need to cover floor room which has a rectangular shape with a lengths 4.8 m and 2.4 m if the number of pieces on the carpet is needed to be lowest?
• Flour
2 kg of flour costs 100 CZK. How much does it cost half a kilogram?
• Hotel
The hotel has a p floors each floor has i rooms from which the third are single and the others are double. Represents the number of beds in hotel.

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