Equation + reason - practice problems - page 17 of 36
Number of problems found: 710
- Chewing gums
You will pay 20 CZK less for three than seven chewing gums. How much is one chewing gum, and how much does a 5 pcs package cost? - Soaps
Each box has the same number of soaps. A quarter of all boxes contain only white soaps, and in each of the remaining 120 boxes, there are always half the white soaps and half the green. White soaps total 1200. (a) the number of all soap boxes; (b) the sma - Two-digit 6212
I think of a number, add it to itself, subtract 6, then divide by 2, add 7 and multiply by 8. The largest two-digit number that contains only even digits came out. How much is the result greater than the imaginary number? - Average age
The company of five people has an average age of 46 years. The average age of the first four is 43 years. How many years has the fifth member of this company?
- Pedestrian 6146
A pedestrian met Street Math and asked him what time it was. "Add half the time to midnight to a quarter of the time, and you'll get the exact time." What time was it? - In the
In the 6th class, the average half-year mark in physics was 1.7. At the end of the year, Maťo improved his mark from 2 to 1, Ivanka from 3 to 2, and Elenka from 4 to 2. Pavlík worsened his mark from 3 to 4. The average mark of the whole class thus improve - Calculated 6048
The ambulance driver calculated that at an average speed of 60 km/h, he would arrive at the hospital in 50 minutes. After driving 25 km, he stopped at the pharmacy for 5 minutes. What average speed must he travel the rest of the way to make up for the del - Equilateral triangle
A square is inscribed into an equilateral triangle with a side of 10 cm. Calculate the length of the square side. - Find two
Find two consecutive natural numbers whose product is one larger than their sum. Searched numbers are expressed by a fraction whose numerator is the difference between these numbers, and the denominator is their sum.
- Mushrooms 5944
The siblings went to the mushrooms. Jana found 38 mushrooms, more than Pavel. Paul asked her to give him enough mushrooms to have the same on the way home. How many mushrooms should Jana give him? - Equation 5900
Adam, Cyril, and Boris have a total of 102 CZK. How many crowns does Adam have, how many Boris and how many Cyril, if all three have the same when: a) Adam gives three crowns to Cyril b) Boris will give half of his money to Cyril c) Adam will give a third - Traditional 5892
The traditional Easter fair occurs yearly in the open-air museum in Rožnov pod Radhoštěm. At the stand, Marek discovered that half a frgal (cake) is 42 crowns cheaper than a whole frgál. How much does the whole frgal cost? - Different 5874
Mišo and Rišo ran back and forth on the running track. They started towards each other, each from a different end of the track. Both were still running at the same speed, each at a different speed. The first time, they met 800 m from one end of the track, - 9th-grade 5864
9th-grade students were marked 28 students. ... .1 25% of students. ..2 40% of students. ..3 How many students were there in the 9th grade?
- Breads
Several pieces of bread were in the store. Half of them, plus half of the bread, bought a cookbook. Of the remaining bread, half of it plus half of the bread was bought by Mr. Novák. Ms. Small bought the last bread. How many breads were in the store at th - Branches 5825
Parrots, a few of them flew around and sat down anyway. 3 on the dog's back. There are 29 parrots. There were 9 more sitting than flying. 6 more sat on the branches than on the grass. How many parrots were still flying? How many were sitting on the branch - Tractors
Two tractors plow the field for 4 hours together. If the first tractor plowed half of the field and then the second tractor completed the job, it would take 9 hours. How many hours does the field plow for each tractor separately? - Penultimate 5761
The boy was practicing shooting at the basket. Out of the first 12 attempts, he missed 9 times. He was successful in all other attempts except a single penultimate throw. He thus achieved exactly half the success rate (he hit the basket in half of the att - Class alphabet
All 29 pupils in the class are written in a class alphabet. The number of pupils enrolled before Paul is three times higher than those behind him. Calculate how many pupils are enrolled after Paul.
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