Examples for secondary school students - page 128 of 230
Number of problems found: 4597
- Density 7257
Can a boy lift a 75 kg rock from the bottom of a pond if we assume he will raise a 50 kg rock in the dry? The density of stone is 2500 kg/m3, and the density of water is 1000 kg/m3 - Precious metals
From 2006-2009, the value of precious metals changed rapidly. The data in the following table represent the total rate of return (in percentage) for platinum, gold, and silver from 2006 through 2009: Year Platinum Gold Silver 2009 62.7 25.0 56.8 2008 -41. - Three-digit number
Find all three-digit numbers n with three different non-zero digits divisible by the sum of all three two-digit numbers we get when we delete one digit in the original number. - Intersection 7247
On side AB of triangle ABC, points D and E are given such that |AD| = |DE| = |EB|. Points A and B are the midpoints of segments CF and CG. Line CD intersects line FB at point I, and line CE intersects line AG at point J. Prove that the intersection of lin - Midpoint 4
If the midpoint of a segment is (6,3) and the other endpoint is (8,-4), what is the coordinate of the other end? - Coordinates of midpoint
If the midpoint of the segment is (6,3) and the other end is (8,4), what is the coordinate of the other end? - Home cleaning
Mr. Smith is cleaning up a big mess at home. In the closet, he finds a solution that is 5% bleach and another stronger solution that is 20% bleach. For this particular job, he needs 600mL of 15% bleach. How much of each type (to the nearest mL) should he - Free fall
The free fall body has gone 10m in the last 0.5s. Find the body speed at the moment of impact. - Rectangular garden
The sides of the rectangular garden are in a ratio of 1:2. The diagonal has a length of 20 meters. Calculate the area and perimeter of the garden. - A man 2
A man divides $10,000 into two investments, one at 10% and one at 30%. Find the amount invested at each rate so that the two investments produce the same income annually. - Needs
Hanka needs 40,000 € to buy an apartment. She can save or pay 300 € each month. The interest rate on deposits is 2%, the monthly deposit is 300 €, the state bonus is 8.5% of the deposit, and the interest rate on the loan is 2.9%. She will be in the saving - Right isosceles triangle
The right isosceles triangle has an altitude x drawn from the right angle to the hypotenuse, dividing it into two equal segments. One segment is 5 cm long. What is the area of the triangle? - Right 24 The right isosceles triangle has an altitude x drawn from the right angle to the hypotenuse, dividing it into two unequal segments. One segment is 5 cm long. What is the area of the triangle? Thank you.
- Calculate 7214
Two tangents are drawn from point C to a circle with a radius of 76 mm. The distance between the two contact points is 14 mm. Calculate the distance of point C from the center of the circle. - Circumference 7209
The speed of the points lying on the circumference of the rotating disk is 6 m/s. The speed of the points, which lie 20 cm closer to the axis of rotation, is 4 m/s. Find the angular velocity of the wheel. - Everyone 7196
Filip had two more balls than Jarda, and Milos had twice as many as Filip. They had a total of 33 balls. How much did everyone have? - Hydraulic 7194
The hydraulic system has: S1 = 0.02 m² S2 = 2 m² F1 =? F2 = 40000 N What force must we exert to get a force of 40,000 N? - The mast
We see the top of the pole at an angle of 45°. If we approach the pole by 10 m, we see the top of the pole at an angle of 60°. What is the height of the pole? - Ticháček 7185
Mr. Ticháček had three gypsum dwarfs in the garden: the largest was called Maško, the middle Jarko, and the smallest Franko. Since he liked to play with them, he discovered that when he put Fan on Jarek, they were as tall as Maško. On the other hand, when - Three points
Three points: A (-3;-5), B (9;-10), and C (2;k). AB=AC What is the value of k?
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