Examples for secondary school students - page 189 of 237
Number of problems found: 4730
- Big number
Dagmar typed numbers on the computer (without spaces) 45678910111213141516... Which number did she write in the third place? The digits of this large natural number are assigned natural numbers from four 4-5-6-7-8-9-10-11-12-13-14-15 etc. - without dashes - Class trip
Until VII. B class girls and 15 boys. All the girls and 13 boys went on a trip. It was a total of 92% of the students in the class. How many girls go to VII? B? - Grandchildren ages
When asked: "How old are your two grandchildren?" the grandfather answers: "If I add their sum to the product of their ages, I get 14." How old are the grandfather's grandchildren? Consider only whole years. - Draw
An old man is a beekeeper and wants to divide honey between his three grandsons. He has seven identical jars full of honey, seven jars half-filled, and seven empty jars. How should he divide the jars (without spilling) among the grandsons so that each get - Groschens
The young journeyman bought a cloak, hat, and galoshes. He paid 200 grosz for everything. A cloak costs 90 groschen, more than a hat, and a hat with a cape costs 160 groschen, more than a galoshes. How much groschen did the cloak cost, and how many hats a - Tatra
A tourist climbed from a hut at an altitude of 1,367 m above sea level to the top of a Tatra peak. The trip there and back took him 6 hours and 20 minutes. What is the altitude of the mountain peak if the tourist climbed at 300 metres per hour going up an - Number sequence
Five natural numbers are given, each of which is a triple of the previous one. The largest number is bigger by 1152 than the middle number in this series. From these five numbers, determine the first number. - Pears and cherries
Pears and cherries grow in the orchard. There are a total of 510 trees. Half of all cherries and a quarter of pears are just as many as all cherries. How many pears and how many cherries? - Chickens and kittens
There were chickens and kittens in the grandmother's yard. George found that if she added one more kitten, the number of kittens and chickens would be the same. But if she added five chickens to the original number, the kittens and chickens would have the - Family ages
Dad, mom, and daughter are 100 years old. A father is four times as old as a daughter. Mom is ten years older than half the father and daughter. How old are they? - Number ratio
Determine the three numbers that are in the ratio 1:2/3:3/4, and the sum of the first two equals the smallest three-digit number. - Sequence members
Determine the first twelve members of the sequence if a13 = 95, d = 17 - Calculate trapezoid
A trapezoid is given: c = 4.2 cm, h = 8 cm, S = 42.4 cm, d = 8.4 It would help if you calculated the following: sides a and b, and perimeter o: - Two numbers
The sum of two numbers equals 840. The first number makes up 40% of the second number. Specify both numbers. - Original route
A walker who had covered 2/3 of the planned hiking route discovered that he had lost his map. He came back for her. After overcoming 1/4 of the route he had already traveled, he found the map. He then continued in his original direction. When he had walke - Gardeners needed
Five equally skilled gardeners mowed one-third of the park in 12 hours. How many gardeners need to be called to mow the rest of the park in 8 hours? - Number equality
Fill in the boxes with the same numbers so that equality applies: 550:? =? x 22 - AP - simple
Find the first ten members of the sequence if a11 = 132, d = 3. - Popsicle and chocolate
One popsicle and one chocolate cost € 2 and 10 cents. Three popsicles and two chocolates cost € 5 and 10 cents. How much is one popsicle, and how much is one chocolate? - Sequence members
Find the first ten members of the sequence if a11 = 132, d = 7.
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