Examples for secondary school students - page 190 of 237
Number of problems found: 4732
- 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
A seller has fruit in six baskets. Each basket contains only apples or only pears, with the following numbers: 5, 6, 12, 14, 23, and 29. "If I sell this basket," the seller thinks, "I will have just as many apples as pears." Which bask - 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 2 cm. 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. - Money distribution
Victoria, Vivien, and Marián have a total of 99 euros. Vivien has 2 euros more than Marian, and Marian has 1 euro less than Victoria. Determine how many euros each one has. - Sibling ages
The three siblings' ages are in such proportions: E: J = 5:4, J: P = 3:2. They are a total of 35 years old. How old are Eve, Jožo, and Peter? - Reward distribution
The three workers were to share the remuneration of 410 euros according to their performance in working together. Thus, A: B = 4:3 and B: C = 5:2. Advise them on how to distribute the reward fairly. - Number properties
Find four numbers whose sum is 48 and which have the following properties: if we subtract 3 from the first, add 3 to the second, multiply the third by three, and divide the fourth by three, we get the same result.
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