Examples for secondary school students - page 140 of 237
Number of problems found: 4730
- Right triangle from axes
A line segment has its ends on the coordinate axes and forms a triangle of area equal to 36 square units. The segment passes through the point ( 5,2). What is the slope of the line segment? - A book
A book contains 524 pages. If it is known that a person will select any page between the pages numbered 125 and 384, find the probability of choosing the page numbered 252 or 253. - Reciprocal equation 2
Solve this equation: x + 5/x - 6 = 4/11 - Peaches
There are 20 peaches in the pocket. Three peaches are rotten. What is the probability that one of the randomly picked two peaches will be just one rotten? - Points collinear
Show that the point A(-1,3), B(3,2), C(11,0) are col-linear. - Last digit
What is the last number of 2016 power of 2017 - Three sides
Side b is 2 cm longer than side c, side a is 9 cm shorter than side b. The triangle circumference is 40 cm. Find the length of sides a, b, and c. - Tropical, mild and arctic
How many percent of the Earth's surface lies in the tropical, mild, and arctic ranges? The border between the ranges is the parallel 23°27' and 66°33'. - Lunch
Seven classmates go every day for lunch. If they always come to the front in a different order, will it be enough school year to take off all the possibilities? - Ticket Sales Three Days
The museum sold seven thousand tickets in 3 days. We know that the second day sold 20% more tickets than the first day, and Day 3 sold 10% less than Day 2. How many tickets were sold on each day? - Infinite Series Equation
Solve the given equation in the set N: 1 - x + x² - x³ + x4 - x5 +…. + = 1/3 - Hemispherical hollow
The vessel's hemispherical hollow is filled with water to a height of 10 cm =. How many liters of water are inside if the hollow's inside diameter is d = 28cm? - Prove
Prove that k1 and k2 are the equations of two circles. Find the equation of the line that passes through the centers of these circles. k1: x²+y²+2x+4y+1=0 k2: x²+y²-8x+6y+9=0 - Probability 9
The wife did not come home from work on time. The husband knows from experience that with a probability of 0.3 she talked with a colleague, or with a probability of 0.6 she went shopping, or with a probability of 0.1 she was delayed for other reasons. The - Sum of inner angles
Prove that the sum of all inner angles of any convex n-angle equals (n-2).180 degrees. - The big clock
The hands of a clock stop at a random moment. What is the probability that: a) the hour hand shows a time between 1:00 and 3:00? b) the minute hand is in the same region as the hour hand as described in part a)? c) the clock shows a time between 21:00 and - Digits
If x, y and z are three consecutive nonzero digits, zyx-xyz = 198, where zyx and xyz are three-digit numbers created from x, y, and z. - Geometric progression 4
There is a number sequence: 8,4,√2,4,2√2 Prove that the sequence is geometric. Find the common ratio and the following three members. - Algebra
If x+y=5, find xy (find the product of x and y if x+y = 5) - Utopia Island
The probability of disease A on the island of Utopia is 40%. The probability of occurrence among the men of this island, which make up 60% of all the population (the rest are women), is 50%. What is the probability of occurrence of A disease among women o
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