Basic operations and concepts - math word problems - page 276 of 319
Number of problems found: 6371
- Kilograms - drying
Fresh herbs contain 90% water, dried 10% water. How many kilograms of herbs can we dry from 15 kg of fresh ones?
- All pairs
Find all pairs (m, n) of natural numbers for which is true: m s (n) = n s (m) = 70, where s(a) denotes the digit sum of the natural number a.
- Mushrooms
Mushrooms lose 90% by weight drying. How many fresh mushrooms are needed for 5 kg of dried mushrooms?
- Interest
What is the annual interest rate on your account if we put 32790 and after 176 days received 33939.2?
- Percentage 83077
The bank increased the interest rate from the original value of 4% to 5%. What percentage of the original value of the interest rate was its increase?
- Supply 82149
The water supply is enough for 12 horses for 16 days. How many horses will this supply of water last for 12 days?
- Two rectangles
I cut out two rectangles with 54 cm² and 90 cm². Their sides are expressed in whole centimeters. If I put these rectangles together, I get a rectangle with an area of 144 cm². What dimensions can this large rectangle have? Write all options. Explain your
- A bag
A bag contains nine blue marbles and one green marble. What is the probability of drawing a blue marble followed by a green marble without replacing the first marble before drawing the second marble?
- Shelf
How many ways are there to arrange 6 books on a shelf?
- Subsets
How many are all subsets of set C = (97, 67, 66, 18, 59, 64)?
- Two-digit 82521
Karel had to multiply two two-digit numbers. Out of care, he changed the order of the digits in one of the factors and got a product that was 4,248 less than the correct result. What is the correct result? How much should Karl have earned?
- Differences 80551
Bolek and Lolek each had their own arithmetic sequence. Both Lolek and Bolek's sequence started with the number 2023 and ended with the number 3023. The two sequences had 26 numbers in common. The ratio of Bolek's and Lolka's difference was 5:2. What is t
- Repeated 33571
Use the digits 3, 4, 5, and 6 to write all even numbers. How many such numbers can you write when you can repeat the numbers?
- Notation 7014
There is no 0 in the decimal notation in natural numbers; there are even numbers or odd numbers, each at least once. Find the number of all k-digit natural numbers.
- Cross-sections of a cone
Cone with base radius 16 cm and height 11 cm divided by parallel planes to base into three bodies. The planes divide the height of the cone into three equal parts. Determine the volume ratio of the maximum and minimum of the resulting body.
- KOH
How many g of 20% KOH solution do we need to mix with 500 g of 30% KOH solution to obtain a 25% KOH solution?
- SKMO
Petra had written natural numbers from 1 to 9. She added two of these numbers, deleted them, and wrote the resulting sum instead of the summaries. She thus had eight numbers written down, which she managed to divide into two groups with the same product.
- Wendy
Wendy deposits R6500 into an account, paying 8% annual interest compounded monthly. How much money will be in her account after 84 months of paying 8% annual interest compounded continuously?
- Two villages
Two villages are 11 km and 500 m away. The map determines their distance by a 5 cm long line. Find the scale of the map.
- The scale
The distance of 15 cm on the map corresponds to 27 km in reality. What is the scale of the map?
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