# Algebra - problems

- Brick

One brick is 2 kg and half a brick heavy. What is the weight of one brick? - Right Δ

Right triangle has length of one leg 7 cm and length of the hypotenuse 25 cm. Calculate the height of the triangle. - Motion problem

From Bratislavy to Martina go car at speed 83 km/h. From Martina to Bratislavy go another car at speed 62 km/h. How many minutes before the meeting will be cars 21 km away? - Tangents

To circle with a radius of 98 dm from the point A guided two tangents. The distance of both points of contact is 155 dm. Calculate the distance from point A and circle centre. - VAT

John paid 1000 Euros in store for purchase. Calculate value added tax (VAT), which paid in purchase, if the VAT rate is 20%. - Rectangle - sides ratio

Calculate area of rectangle whose sides are in ratio 1:7 and perimeter is 735. - Medians

Calculate the sides of a right triangle if the length of the medians to the legs are t_{a}= 23 cm and t_{b}=14 cm. - Ratio

6 numbers are in the ratio 3:3:4:4:5:5. Their sum is 264. What are the numbers? - I think number

I think number.When I add 544 to it and subtract 194, I get a number that is 45 greater than 1207. What number I thinking? - LCM

What is the least common multiple of 28, 42, 22? - Hypotenuse and height

In a right triangle is length of the hypotenuse c = 45 cm and height h_{c}= 19 cm. Determine the length of both trangle legs. - Sequence

In the arithmetic sequence is a_{1}=-9, d=4. Which member is equal to the number 147? - Coins

Arnold had saved up a number of 1-euro coins. He stored coins in a single layer in a square. Left 4 coins. When he make square, which has one more row, missing 35 coins. How many euros he have? - Moving

Vojta left the house at three o'clockat 4 km/h. After half hour later went from the same place Filip by bicycle at speed 25 km/h. How long take Tilip to catch up Vojta and how far from the house? - Built-up area

John build up area 4.3 x 8 = 34.4 m^{2}with building with a wall thickness 50 cm. How many centimeters would have to subtract from thickness of the walls that built-up area fell by 8%? - Lentilka

Lentilka made 31 pancakes. 8 don't fill with anything, 14 pancakes filled with strawberry jam, 16 filled with cream cheese. a) How many Lentilka did strawberry-cream cheese pancakes? Maksik ate 4 of strawberry-cream cheese and all pure strawberry pancake - Truck

Truck went for 5 hours and 21 minutes. If truck increase speed by 19 km/h, went same distance in 2.9 hours. Calculate this distance. - Lines

Five bus lines runs at intervals 3, 5, 10, 11, 13 minutes. In the morning, suddenly start at 7:00. After how many minutes the bus lines meet again? - Balance

The rod are 1.7 m long hanging weights 2 kg and 12 kg on ends. Where are centre of rod (distance from weight 2 kg) to be in balance? - Rope

One half of rope use Mam for packaging, half of the rest got son, half of the rest he took father and two fifths of what remained, got daughter. Remained 52 cm of rope. How long was rope at the beginning?

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