Direct proportionality - math word problems - page 24 of 37
Number of problems found: 732
- 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
- Strawberries 4785
Friends Marika and Katka decided to prepare strawberry jam together. According to the recipe, they needed 50g of sugar for 0.5kg of fruit. How many kilograms of sugar must the friends prepare if they make jam from 2.3 kg of strawberries?
- Rectangular 4780
The television studio plan is made on a scale of 1:150. It shows a rectangular studio measuring 5 cm and 6 cm. If we pay 356 crowns for 1 m² of floating floor, how many crowns will we pay to cover the studio with a floating floor?
- Seventeen 4742
Seventeen workers produce more than 15 workers by 46 products. How many products will 20 workers make?
- Map scale
What is the map's scale if 5.4 km is 72 mm on the map?
- Diamond 4695
The handle is made of alloy. The alloy is in a ratio of 6 parts gold, three parts lead, and eight parts diamond. The handle weighs 24 kg. How much weight are gold and lead?
- Three workers
Three workers were paid for their work. The first earned € 50, the second € 100, and the third € 60. For further work, we should receive € 735 together. How do you divide that amount to be distributed in the same proportion as the first job?
- Candies
There are red, blue and green candies in bad. Red to green is in the 6:11 ratio, and blue to red is in the 7:5 ratio. In what proportion are blue to green candies?
- Five-crowns 4655
Martin has metal coins saved up in the cash box. Crowns, two-crowns, and five-crowns. The ratio of crowns to five-crowns is 7:4, and five-crowns to two-crowns is 2:9. What is the ratio of crowns and double crowns?
- Tree shadow
The tree perpendicular to the horizontal surface has a shadow 8.32 meters long. At the same time, a one-meter rod perpendicular to the horizontal surface has a shadow 64 cm long. How tall is the tree?
- Purchased 4522
Ten friends decided to go hiking. They bought food supplies for 9 days. Before starting hiking, 4 boys fell ill. How many days can the boys extend their stay if they take the purchased food supply?
- Rectangle 3-4-5
The sides of the rectangle are in a ratio of 3:4. The length of its diagonal is 20 cm. Calculate the area of the rectangle.
- Dimensions 4516
The course is 80m long and 35m wide. What will be its dimensions on a 1:500 map?
- Hours 4443
Lada drove 27 km in 3 hours. How many km will he go in 7 hours?
- What scale
What scale is the map drawn if it shows a 15km route from the station to the ruins with a line 30cm long? A) 1:2000 B) 1:5000 C) 1:20,000 D) 1:50,000
- 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
- Letohrad 4396
On a map at a scale of 1:400,000, the distance between Letohrad and Prague is 4.5 cm. What speed does Dad have to go to be in Prague at 9 o'clock when he leaves at 6 o'clock, 40 minutes?
- 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
- 9332% 4371
When 17.2 kg is 94.9332%, how much kg is 66%?
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