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A simple test that can easily determine if you skipped math classes in school, check your knowledge
Not so long ago, mathematics was considered one of the main academic disciplines. After all, Soviet schoolchildren wanted to become builders and cosmonauts, and the country desperately needed competent engineers and technicians. Today, children dream of a career as a video blogger, and the “Queen of Sciences” is studied, to put it mildly, over their sleeves. “I knew all this in your years,” the parents reproach their negligent children. How much truth in these words, and how much exaggeration and bravado, will help answer our test. Pass it to see if the math curriculum is still alive in your memory.
School program in mathematics
(b) for a lesser reason;
(c) opposite;
(d) on the side.
The price of cookies increased from 150 rubles to 171 rubles. What percentage of cookies are more expensive?
(a) 46%
(b) 11.4%
(c) 14%
(d) 21 per cent
Answers.
By the way, recently we shared a simple mathematical trick that greatly simplifies the calculation of percentages without a calculator. It can be formulated as follows: “A percent of B is the same as percent of A.” It seems like nothing special, but in some cases it helps and more.
School program in mathematics
- The pyramid is...
(a) a geometric figure;
(b) geometric body.
- A quadrangle where only two sides are parallel and the other two are not...
(a) parallelograms;
(b) diamond;
(c) a trapezoid;
(d) square.
- If the two angles of a triangle are equal, then the triangle is equal.
(a) equilateral;
b) rectangular;
c) isosceles.
- The angle is called...
(a) a geometric figure formed by two rays;
(b) a geometric shape formed by two rays having a common origin;
(c) a geometric shape formed by two different beams of the same direction. - The equation of the form a2 + b + c = 0 is called
(a) linear;
(b) fractionally rational;
(c) square. - The graph of the function y = sin is...
(a) a cosine wave;
(b) parabola;
(c) sinusoid;
(d) hyperbole. - A2 + b2 = c2 is a...
(a) the sum of squares;
(b) the square of the sum;
(c) Pythagoras' theorem;
(d) the basic theorem of polynomial algebra. - What is the expression a2 - b2?
(a) a2 - 2ab + b2
(b) (a + b) (a - b)
(a) (b) (a2 + ab + b2) - The rectangles are 6 and 8. What is the hypotenuse of a triangle?
(10)
(b) 12
(c) 14
(g) 16 - In an isosceles trapezoid, the sum of the two angles is 100 degrees. These are corners...
(b) for a lesser reason;
(c) opposite;
(d) on the side.
The price of cookies increased from 150 rubles to 171 rubles. What percentage of cookies are more expensive?
(a) 46%
(b) 11.4%
(c) 14%
(d) 21 per cent
Answers.
- A geometric body is a coherent part of space bounded by a closed surface of its outer boundary. The outer boundary of a geometric body is called a face; a body may have one or many faces. The pyramid geometrywhich is bounded by flat polygons.
- A quadrangle in which the two sides are parallel and the other two are not called trapezoid. The parallel sides of the trapezoid are called the bases, and the non-parallel sides are called the sides.
- If the two angles are equal in a triangle, isoscelest. If all angles are equal, it is equilateral. In a right triangle, one of the angles of a straight line.
- An angle is a figure that consists of a point (the top of an angle) and two rays that come out of this point and are called the sides of the angle. Then it will be true. definition.
- Square, or an equation of the second degree with one variable, called equations of the form a2 + b + c = 0, where x is a variable, a, b, c are the coefficients of a square equation, while a у0.
- The curve that is the graph of the function y = sin is called sinusoid.
- Pythagoras' Theorem The square of the hypotenuse is equal to the sum of the squares of the cathetes. If the hypotenuse is c, and the cathetes a and b, then you can write the formula a2 + b2 = c2.
- According to one of the formulas of reduced multiplication, the difference in squares of numbers is equal to the product of their difference and sum: (a + b) (a - b).
- According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the cathets. Substituting numerical data (62 + 82 = 36 + 64 = 100 = 102), we get 10.
- As you know, the sum of opposite angles in an equilateral trapezoid is 180 degrees. The sum of the angles at either side is also equal to 180 degrees. So in our problem, the angles are not exactly opposite and not on the side. It is also known that angles with a smaller base are always dull, and with a larger one - sharp. In our case, the angles (100/2 = 50) are sharp, which means they are angles. baselessly.
- To calculate how many percent one number is larger than another, you need to divide the first number by the second, multiply the result by 100 and subtract 100. Substitute our values:
171/150 = 1.14
1.14 x 100 = 114
114 - 100 = 14
Answer: Cookies have become more expensive 14 percent.
By the way, recently we shared a simple mathematical trick that greatly simplifies the calculation of percentages without a calculator. It can be formulated as follows: “A percent of B is the same as percent of A.” It seems like nothing special, but in some cases it helps and more.
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