Natural numbers - practice for 13 year olds - page 6 of 28
Number of problems found: 546
- Apples and pears
Mom divided 24 apples and 15 pears among the children. Each child received the same number of apples and pears - the same number as their siblings. How many apples (j=?) and pears (h=?) were received for each child? - English-German 6443
Two foreign languages are compulsory from the fourth grade. Only a tenth of the class did not choose English, and a fifth did not take German. Fifteen children learn French this way. Calculate how many pupils chose the English-German combination. - Trams
Tram no. 3,7,10,11 rode together from the depot at 5 AM. Tram No. 3 returns after 2 hours, tram No. 7 an hour and a half, no. 10 in 45 minutes, and no. 11 in 30 minutes. For how many minutes and when do these trams meet again? - Tailor master
There are less than 50m of textile in the tailoring workshop. No textile is left when cutting on a blouse (consumption 1.5m). No textile is left when using a cloth (consumption of 3.2m). How many meters of textiles are in a tailor's workshop?
- Susan 3
Susan has 90 sweets, 36 chocolates, and 60 jellies. She wants to pack the items equally into goodie bags without any leftover items. How many bags will she pack maximum? How many sweets, chocolates, and jellies will be in one bag? - What are 3
What are the two digits that, when inserted in the blank spaces, will make 234 _ _ divisible by 8? - Cleaning 2
Maggie is looking to hire a carpet cleaning company. Cleaning Crew Inc charges $24 for supplies and then $18 per room. If Maggie has $96 to spend on cleaning the carpets, how many rooms can she have cleaned? - Three excursions
Each pupil of the 9A class attended at least one of the three excursions. There could always be 15 pupils on each excursion. Seven participants of the first excursion also participated in the second, 8 participants of the first excursion, and 5 participan - Unknown number
Samuel wrote the unknown number. Then he had to add 200000 to the number, and the result was multiplied by three. When it was calculated, he was surprised because he would have received the result if he had written the digit to the end of the original num
- Parachutists
During freefall, parachutists were first held in groups of 4, then 6, then 9, 12, and finally 18 members. How many parachutists jump at least should be, if at each group must all be involved. - Together 81521
Pavel and Vojta were planting trees at the forestry brigade. Pavel planted two more trees than Vojta in a six-hour shift. Together, they planted 156 saplings in three such shifts. How many saplings did Pavel and Vojta plant during the brigade? - Four-digit 67444
Emil forgot the PIN for his payment card. It knows that it is four-digit, starts with 1, ends with 2, and does not repeat digits; its digit sum is 15. How many such codes are there? List all the options. - Happy marriage
Jan and Marienka have been living in a happy marriage for several years. Jan's age is written in the same numbers as Marienka, only in reverse order. Their ages differ by just a fifth of Marienka's age. Jan is older. How old is Jan, and how many are Marie - Two gears
Two gears with 13 and 7 teeth rotate locked into each other. We want both wheels to be in the starting position again. How many turns does a big wheel have to make?
- Sometimes 2814
Adam was at some of his favorite football team's home games last season. Sometimes, he bought a seat ticket for €9, sometimes a standing ticket for €5. He spent a total of €76. How many times did Adam buy a seat ticket, and how many times did he buy a sta - Pigs
A buyer said, "I want to buy 100 pigs for 100 denarii. An adult pig costs ten denarii, a sow five denarii, and two little piglets are worth one denarius. " How many pigs, cows, and piglets could he buy for exactly 100 denarii? - Individual 4881
There are 32 rooms in the hostel. Some have double beds, others have four beds and the rest have 7 beds. There are a total of 139 beds in the hostel. How many are there if a two-digit number gives the numbers of individual species? - Distinguished 37083
Three circles of the same size are drawn on the playing field. Arrange the 16 pins so that there are 9 pins in each circle. Find at least eight significantly different layouts, i.e. J. such layouts in which pins or circles are not distinguished. - Incorrectly 7492
The test has 50 questions. Four points are counted for each correct answer, 3 points are deducted for an incorrect answer, and 2 points are deducted for an unanswered question. Peter scored 108 points on the test but answered only 6 questions. How many qu
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