Examples for secondary school students - page 75 of 237
Number of problems found: 4730
- Triangle angle
For the interior angles of a triangle, the angle β is twice as large, and the angle γ is three times larger than the angle α. Is this triangle right? - Camel hump
There are one-humped and two-humped camels in the caravan going through the desert. The guide counted 28 heads and 45 humps. How many humpback camels are in the caravan? - Calculate
Calculate the sum of all three-digit natural numbers divisible by five. - Tourists
Tourists hire a guide. Everyone will pay the same amount. If there are two fewer of them, they will pay 14 crowns more, and if there are three more, they will pay 14 crowns less. How many tourists are there and how much have the guides paid? - The theater
The Manila theater charged ticket prices: adults php 500, students php 250, and children below 12 are php 100. The theater collected a total of Php 100,000.00 from an audience of 250 people. What is a possible audience composition regarding the numbers of - Duo mix
One kilogram of meat of two colors is 650 g of pork, and the rest is chicken. One kilogram of pork is 40 CZK, which is more expensive than a kilogram of chicken. How many CZK (Czech crowns) cost one kilogram of chicken meat so that the price of one kilogr - The family
How old is a mother if she is four times older than her daughter, and five years ago she was seven times older than her daughter? Today, a son is 30 years younger than his father. Seven years ago, the father was seven times older than the son. How old is - Dataset:
Dataset: 35 22 18 54 22 46 28 31 43 22 14 17 25 19 33 14. 1 Group the data into a grouped distribution using six classes of equal width. 2. Determine the mean, median, and mode using the raw data. 3. Draw an Ogive curve corresponding to the data and use i - Statistical survey Write TRUE OR FALSE for each question: 1 Standard deviation measures central location. 2. The most frequent observation in a data set is known as the mode. 3 The most passive method of data collection is observation. 4 Access time for secondary data is sh
- Zinc body heating
A zinc body has a volume of 20 dm³. How much heat is needed to warm it from 25 °C to 100 °C? What is the heat capacity C of the body (in J/K)? - The stadion
John can run around a circular track in 20 seconds and Eddie in 30 seconds. Two seconds after Eddie starts, John starts from the same place in the opposite direction. When will they meet? - Bernoulli distribution
The production of solar cells produces 2% of defective cells. Assume the cells are independent and that a lot contains 800 cells. Approximate the probability that less than 20 cells are defective. (Answer to the nearest three decimals). - The cylinder
In a rotating cylinder, it is given: the surface of the shell (without bases) S = 96 cm² and the volume V = 192 cm cubic. Calculate the radius and height of this cylinder. - Linear combination of complex
If z1=5+3i and z2=4-2i, write the following in the form a+bi a) 4z1+6z2 b) z1*z2 - Rotary cylinder
In the rotary cylinder, it is given: surface S = 96 cm² and volume V = 192 cm cubic. Calculate its radius and height. - Two years
Roy deposited 50,000.00 into his account, which pays 4% annual interest compounded semi-annually. How much interest is there after two years? - The gems
The jeweler selects four gems for the ring: rubies, emeralds, and sapphires. How many options does he have? - Chocolate purchase options
Jane wants to buy six chocolates in the store. The store offers only three species of chocolates. How many options does she have? - Syrups
In the shop, they sell three types of syrups - apple, raspberry, and orange. How many ways can you buy four bottles of syrup? - Cone surface volume
Calculate the surface and volume of the cut rotating cone with base radii of 14 cm and 8 cm height of 11 cm.
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