Direct relationship - high school - practice problems - page 2 of 4
Number of problems found: 79
- Plastering 6132
Three masons received 44,100 SK for plastering the house. This amount was divided according to the number of hours worked. The first received three times as much as the second, and the second received half as much as the third. Determine in what gradual r - The bulbs
The bulbs are connected serially to two bulbs and one resistor. Each bulb has a resistivity of 100 ohms and a resistor of 60 ohms. The voltage source in the circuit is 24 volts. Do you know what voltage to measure on individual appliances? - The sides
The sides of the rectangle are in a ratio of 3:5, and its circumference measures 72 cm. Calculate: a) the size of both sides of the rectangle b) the area of the rectangle c) the length of the diagonals - Three-fourths 5676
The three numbers are in the ratio of 4:7:14. Three-fourths of the smallest number is one greater than one-fifth of the largest number. How many times is the product of these three numbers greater than their sum?
- Playground 5570
The football club owns five identical mowers. If they used two of them, they would mow the playground lawn in 10 hours. How long would it take to mow the lawn if they used all five mowers? - Fence and scale
The garden with 80 m of fencing is drawn on a plan as a square with a side length of 4 cm. At what scale is this plan made? - MO Z9–I–2 - 2017
VO is a longer base in the VODY trapezoid, and the diagonal intersection K divides the VD line in a 3:2 ratio. The area of the KOV triangle is 13.5 cm². Find the area of the entire trapezoid. - Fulfillment 5210
This company can complete the order in 168 days. The second company is better equipped and can fulfill the order in 120 days. The companies will fulfill the orders together. Determine how long it will take them to fulfill the order and in what proportion - Gas consumption
The vessel consumes 100 tons of gas in 250 miles. How much fuel will the vessel consume if it travels 400 miles?
- Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are at a ratio of 5:3. The arm is 6cm long and 4cm high. - Photocopier
A photocopier enlarges a picture in the ratio of 7:4. How many times will a picture of size 6cm by 4cm be enlarged to fit on a 30cm by 20 cm page? - Sun rays
If the sun's rays are at an angle of 60°, then the famous Great Pyramid of Egypt (which is now 137.3 meters high) has a 79.3 m long shadow. Calculate the current height of the neighboring Chephren pyramid, whose shadow is measured at the same time at 78.8 - Rhombus and diagonals
The rhombus area is 150 cm2, and the ratio of the diagonals is 3:4. Calculate the length of its height. - Materials 4405
Two trucks were supposed to load the building materials in 10 days. After 6 days of work, the first car broke down, and the second one carried building materials for another 9 days. How many days would the first and second cars take the building materials
- Tower model
The tower's height is 300 meters, and its weight is 8000 tons. How high is the model of the tower's weight of 1 kg? (State the result in centimeters). The model is made from exactly the same material as the original no numbers need to be rounded. A result - Two similar triangles
Find unknown sides of a similar triangles: a = 6cm, b = 8cm, c =?, a '=?, b '= 12cm, c' = 15cm - Three friends
Three friends divided the profit by 104,650 CZK, so that for every 4 CZK, which got the first friend equals five crowns for the second, and for every 9 CZK, which got the second equals 16 CZK for the third. Question: Who got the most and how much? - Difference 3875
The four numbers are in a ratio of 5:7:4:6. Their difference is equal to -84. Specify these numbers. - Coefficient: 3849
Determine the similarity coefficient: a) 4.8; 5.6; 8.4 b) 1.44; 1.68; 2.52
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