Examples for secondary school students - page 24 of 212
Number of problems found: 4231
- Difference 61133
Determine the difference of the arithmetic sequence (an), if given: a1 = 5, an = 23, Sn = 392 - Arithmetic 44181
Determine the arithmetic sequence. a3 + a4 = 10 a2 + a5 = 11 - Doesn't 37531
How many ways can you draw eight playing cards from 32 playing cards when their order doesn't matter? - Variations 26791
If the number of elements increases by two, the number of variations of the second class of these elements created by 38 increases. What is the original number of elements? - Intersections 25141
The quadratic function has the formula y = x²-2x-3. Sketch a graph of this function. Find the intersections with the axes. Find the vertex coordinates. - Direction 7999
A (5; -4) B (1; 3) C (-2; 0) D (6; 2) Calculate the direction vector a) a = AB b) b = BC c) c = CD - Determine 7155
For the indirect ratio, g (20) = 3, determine g (6) - Arithmetic 6963
The arithmetic mean of two numbers is 142. One of the numbers is 16, greater than the second. Find out both numbers. The arithmetic mean is a + b / 2 - Projection 4514
Draw an octagonal pyramid in free parallel projection if the length of the edge a = 3 cm and the height of the pyramid v = 6 cm. - Summands 4213
Divide the number 28 into two summands so that their product is maximal. - Determine 4132
Determine the value of x in this equation: x! · 4 = x³. x is a natural number. - Zdeněk 4090
Petr scored 18 points, Jirka half, Roman scored 3 points less than Petr, and Zdenek one point less than Jirka. Find out how many points Zdenek got. - Difference 4086
Find the difference AP if a1 = -1.5 and a2 + a3 = 2.7. - Determine 4056
Determine x if 3^x: 3²996 = 81 - Probability 3278
I have three colors of briefs. White, black, and red. What is the probability that I will choose white briefs? - Intersections 2574
Calculate the intersections with the x and y axes of the function h: y = 4 / 5x-3 - Arithmetic sequence
Determine the sum of the first 12 terms of an AP (arithmetic sequence) if a4 is equal to 7 and a8 is equal to minus 1. - A function
A function follows the rule "y is 3 less than half of x". Express y as a function of x in the form of an equation. - Line slope
What is the slope of the line with points (-1,-3) and (-5, 2)? - Suppose 10
Suppose 4+7i is a solution of 5z2+Az+B=0, where A, B∈R. Find A and B.
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