Examples for secondary school students - page 111 of 229
Number of problems found: 4578
- ABCDEFGHIJKL 8426
The given is a regular hexagonal prism ABCDEFGHIJKL, which has all edges of the same length. Find the degree of the angle formed by the lines BK and CL in degrees. - Intersect and conjuction
Let U={1,2,3,4,5,6} A={1,3,5} B={2,4,6} C={3,6} Find the following. 1. )AUB 2. )A'UB' - Car repair
John bought a car for a certain sum of money. He spent 10% of the cost on repairs and sold the car for a profit of Rs. 11000. How much did he spend on repairs if he made a profit of 20%? - Probability - cards
What is the probability that when dealing cards after 4, in the game Quartet (eight of fours), we will get the whole quartet? - Adding percentages
55%+36%+88%+71%+100=63% what is whole (X)? Percents can be added directly together if taken from the same whole, which means they have the same base amount. You would add the two percentages to find the total amount. - Belongs 8412
Given a circle k(O; 2.5 cm), a line p: /Op/=4 cm, a point T: T belongs to p and at the same time /OT/=4.5 cm. We must find all the circles that will touch the circle k and the line p at point T. - Angle of two lines
There is a regular quadrangular pyramid ABCDV; | AB | = 4 cm; height v = 6 cm. Determine the angles of lines AD and BV.
- Ratio of sides
Calculate the area of a circle with the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in a ratio of 2 to 7. - N percentille problem
Here is a data set (n=117) that has been sorted. 10.4 12.2 14.3 15.3 17.1 17.8 18 18.6 19.1 19.9 19.9 20.3 20.6 20.7 20.7 21.2 21.3 22 22.1 22.3 22.8 23 23 23.1 23.5 24.1 24.1 24.4 24.5 24.8 24.9 25.4 25.4 25.5 25.7 25.9 26 26.1 26.2 26.7 26.8 27.5 27.6 2 - Trio weight
Adela, Barunka, and Cecilia are weighed in pairs. Adela with Barunka weighs 98 kg, Barunka with Cecilia 90 kg, and Adela with Cecilia 92 kg. How much does each of them weigh? - Angle of climb
At what angle does the road rise if the climb is 10%? - Circumferential 8399
A circle with a radius r=8 cm is divided by points K and L in a ratio of 5 to 4. Calculate the sizes of the center and circumferential angles, corresponding to both arcs and the area of the larger segment. - Annular area
The square with side a = 1 is inscribed and circumscribed by circles. Find the annular area. - Diagonals 8397
Does a hexagon have 275 diagonals? - Life expectancy
The life expectancy of batteries has a normal distribution with a mean of 350 minutes and a standard deviation of 10 minutes. What is the range in minutes 68% of the batteries will last? What is the range in minutes? How long will approximately 99.7% of b
- Equilateral triangle vs circle
Find the area of an equilateral triangle inscribed in a circle of radius r = 9 cm. What percentage of the circle area does it occupy? - Dilute 8392
I have 500ml of 31% acid and must dilute it to 5%. How many ml of water do I need to add? - Lateral surface area
The ratio of the area of the base of the rotary cone to its lateral surface area is 3:5. Calculate the surface and volume of the cone if its height v = 4 cm. - Today in school
There are nine girls and 11 boys in the class today. What is the probability that Suzan will go to the board today? - A rectangular patio
A rectangular patio measures 20 ft by 30 ft. By adding x feet to the width and x feet to the length, the area is doubled. Find the new dimensions of the patio.
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