Examples for secondary school students - page 60 of 212
Number of problems found: 4231
- Arrangements 68764
We have two identical blue balls and two identical red balls. We arrange them in a row in all ways. How many different arrangements are there? - Substituted 65024
Which number should be substituted for the variable and in the equation: 4x² (7-x) = a-3- (x-2), so that the root of the equation is the number 5? - Calculate 64514
In the triangle ABC, a: b = 3:2 and α: β = 2:1. Calculate the ratio a: c. - Intersections 62784
A quadratic function is given: y = -x² + 2x + 3 a) determine the intersections with the x, y-axis and peak V b) draw a graph and describe c) for which x applies f (x) = 3 - Distance two imaginary numbs
Find the distance between two complex number: z1=(-8+i) and z2=(-1+i). - Arithmetic 48053
Calculate the arithmetic mean, median, and mode of numbers x1, x2. .., x15, if the number 2 occurs between them five times, the number 7 eight times, and the numbers 10 and 12 once. - Transmission 44701
The electric field performs work 1610 J in the transmission of electric charge of 7 Coulombs between the heating coil terminals. Calculate the voltage between the terminals. - Perpendicular 41811
Calculate the area of a right triangle whose longer perpendicular is six dm shorter than the hypotenuse and three dm longer than the shorter perpendicular. - Arithmetic 40431
Fill the numbers in the place of the asterisk to form an arithmetic sequence. (2, *, 5, *, 8, 9.5,11) - Interpretation 35461
The arranger should line up two identical white sweaters, two identical green sweaters, and one blue sweater in the shop window. How many possible ways can the interpretation be adjusted? - 3-digit 32301
How many 3-digit numbers can be created from the numbers 0, 1, 2, 3, and 4 if we can repeat them? - Individual 20463
There are 59 pupils in the 9th grade. In 9A, there are 15% more pupils than in 9B. In 9C, there are 20% fewer than in 9B. How many pupils are in individual classes? - Trapezoid 18313
Find the points A1 B1 symmetric along the y-axis to the points A [-4,0], B [-1,4]. Calculate the perimeter of the trapezoid AB B1 A1. - Porcelain 18063
Four cups and one porcelain saucer cost € 140. Two cups and five saucers cost € 160. How much is a cup? - Acceleration of point
The mass point moves evenly along a circle with a radius of 1.2 m at an angular velocity of 25 rad/s. Determine the frequency, period, and centripetal acceleration! - Children 8275
Forty children and adults attended the trip. Together they paid CZK 24,100. How many adults and children, if children paid CZK 400 and adults CZK 700? - Difference 7873
Find the first term and the difference of the sequence for which it holds: a1 + a6 = 39; a10 - a4 = 18 - Grandfather 7622
My grandfather says, "My son and I are 100 years old, my son and my grandson are 62 years old, and my grandson and I are 80 years old together." How old is your grandfather? - Calculate 6706
Given a triangle KLM points K [-3.2] L [7, -3] M [8.5]. Calculate the side lengths and perimeter. - Three-digit 6690
How many three-digit numbers do we make from the numbers 4,5,6,7?
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