Examples for secondary school students - page 184 of 231
Number of problems found: 4612
- 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. - Decagon prism
A regular decagon of side a = 2 cm is the base of the perpendicular prism. The side walls are squares. Find the prism volume in cm³, round to two decimal places. - Tree planting
During the afforestation, 2,950 saplings were planted in three days. On the second day, 25% more saplings were planted than on the first day, and on the third day, 15% more than on the second day. How many saplings were planted during each day? - Ring
The gold and copper alloy rings weigh 14.5 g and have a volume of 1.03 cm³. How much gold and copper does each ring contain? The metal densities are Au 19.3 g/cm³ and Cu 8.94 kg·dm-3 - Basket of fruit
In six baskets, the seller has fruit. In individual baskets, there are only apples or just pears with the following number of fruits: 5, 6, 12, 14, 23, and 29. "If I sell this basket," the salesman thinks, "I will have just as many apples as a pear." Whic - Animals count
Horses, sheep, and ducks graze in the meadow. Sheep are more than ducks. Sheep and ducks have a total of 100 heads and legs. Ducks and sheep are three times more than horses. How many horses are there? - Freezer
The freezer has the shape of a cuboid with internal dimensions of 12 cm, 10 cm, and 30 cm. A layer of ice 23 mm thick was formed on the freezer's inner walls (and on the opening). How many liters of water will drain if we dispose of the freezer? - Birthday
Brano received money from his uncle for his birthday. When he went to the store, he counted out loud: "If I buy chocolates for 1 euro and 30 cents each, I will have 60 cents left. But if I wanted to buy the same amount of chocolates for 1 euro and 40 cent - Mug and kettle
Aunt bought 6 identical mugs and one coffee pot. She paid €60 in total. A teapot was more expensive than one mug but cheaper than two mugs. Auntie remembered that all the prices were in whole euros. How much € was one mug, and how much was a kettle? - Grade savings
Pupils of four grades saved n=45000 crowns together. Of this, the first year saved one-third, the second one-third of the remainder, the third two-fifths of the remainder, and the fourth the remainder. How many crowns did each year save? - Multiplicative inverse
Which number is to multiply the number by to get the number: a) 1 b) m - Prism volume
Determine the volume and surface of a prism with the base of a right triangle if the perpendiculars are: a is 1.2 cm. b is 2cm. The height of the body is 0.3 dm. - Juice cost
We paid a total of 290 CZK for 5 liters of orange juice and 6 liters of multivitamin juice. A liter of multivitamin juice is CZK 8 more expensive than a liter of orange juice. How much do we pay for 2 liters of orange and 3 liters of multivitamin juice? - Two lands
The common area of the two neighboring lands is 964 m². The second land is smaller by 77 m2, twice the size of the first land. Find the areas of each land.
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