Arithmetic - math word problems
- Three vectors
The three forces whose amplitudes are in ratio 9:10:17 act in the plane at one point so that they are in balance. Determine the angles of the each two forces.
- Quadrant
In what quadrant is a -1165° angle?
- Product
The product of two consecutive odd numbers is 8463. What are this numbers?
- Big factorial
How many zeros end number 116! ?
- Tower model
Tower height is 300 meters, weight 8000 tons. How high is the model of the tower weight 1 kg? (State the result in the centimeters). The model is made from exactly the same material as the original no numbers need to be rounded. The result is a three-digi
- Decimal to fraction
Write decimal number 8.638333333 as a fraction A/B in the basic form. Given decimal has infinite repeating figures.
- Stock
Enterprise sold 7/12 of their products to foreign markets and 2/5 of the remainder sold at home. How many % of the products is still in stock?
- Geometric sequence
In the geometric sequence is a4 = 20 a9 = -160. Calculate the first member a1 and quotient q.
- Farm
Agricultural cooperative (farm) produced 14144 liters of milk for 16 days. Which exceeded the plan by 1984 liters. How many liters of milk a day had planned to produce?
- Euros
Michal, Peter, John and Lenka got together 2,400 euros. They share an amount in ratio 2:6:4:3. How many got each of them?
- Trapezoid 15
Area of trapezoid is 266. What value is x if bases b1 is 2x-3, b2 is 2x+1 and height h is x+4
- Rectangle pool
Determine dimensions of open pool with a square bottom with a capacity 32 m3 to have painted/bricked walls with least amount of material.
- Chestnuts
Mary harvested 45 chestnuts. Christian harvested 56 chestnuts more. How many chestnuts gathered together?
- 3 goods
Ms. Beránková bought in the shop 3 goods. Total paid for the purchase was 248 CZK. The first thing was 112 CZK and second 101 CZK. How much was the third thing?
- Fewer than 500 sheep,
There are fewer than 500 sheep, but if they stand in a double, triple, quadruple, five and sixth order, one sheep will remain. But they can stand in the seventh order. How many are sheep?
- Complementary angles
Two angles are complementary. If one angle measures 10°, what is the measure of the second angle?
- Two months
Mars has two months, Phobos and Deimos. Phobos orbits around Mars in 7 hours 39 minutes and Deimos in 30 h 14 min. How long will repeat the relative position of the three celestial bodies?
- Percent
From 99 children who participated in the ski course were 23 excellent skiers, 13 good and 20 average and the rest were beginners. Calculate this data in percentages.
- Power
Number ?. Find the value of x.
- Cakes
On the table was 56 cakes. When Peter went home, leaving them eight times less. How many cakes left?
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