Examples for secondary school students - page 129 of 232
Number of problems found: 4622
- How many 2
How many three-lettered words can be formed from letters A B C D E G H if repeats are: a) not allowed b) allowed? - Degrees Fahrenheit
C= (5)/(9)(F−32) The equation above shows how temperature F, measured in degrees Fahrenheit, relates to temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true? I. A temperature increase of 1 degree Fahrenhei - Brother sister money
How much money does a brother have, and how much does a sister have if she pays: if a brother gives a sister CZK 24, they will have the same. If a sister provides a brother with CZK 27, will the brother have twice as much? - Number factor decomposition
The number 135 can be decomposed into the product of two factors, so one will be three greater than 40% of the other. What are these factors? - Rock lifting calculation
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. - Triangle Geometry Proof
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.
- Tangents Circle Distance
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. - Disk angular velocity
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. - Balls Count Three Boys
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?
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