Examples for secondary school students - page 166 of 230

Number of problems found: 4597

Determine 3948
Determine the quotient and the first member of GP if a3 = 0.52 and a1 + a2 = 0.39.
Determine 3945
Determine the sum of the square roots of the number 25.
Centimeters 3940
Calculate the solid diagonal of a cube whose surface equals 24 square centimeters.
Determine 3938
Determine the quotient and the first member of GP if a3 = 0.39 and a1 + a2 = 0.39.
Angle
Determine the size of the smallest internal angle of a right triangle which angles forming the successive members of the arithmetic sequence.
Twenty-first 3935
Determine the twenty-first term and the difference AP if a1 = 0.12 and a1 + a2 = 0.42.
Glass
How many glasses are needed to produce glass with a base of a regular 5-gon if one base triangle in the base is 4.2 square cm and the height is 10 cm?
Difference 3923
Determine the ninth term and the difference AP if a3 = 4.8 and a2 + a3 = 8.
Complex roots
Find the sum of the fourth square root of the number 16.
Diagonal of the rectangle
Calculate the rectangle's diagonal, whose area is 54 centimeters square, and the circuit equals 30 cm.
Dictation
A total of 30 students wrote the dictation. One third of them got a one or a four. Four times more twos than threes. How many students have an insufficient grade, if we know that 7 students got a first grade, which is also the same number as the sum of th
Determine 3914
Find the quotient and the sixth term of GP if a1 = 420, a1 + a2 = 630.
Four-digit 3912
Create all four-digit numbers from digits 1,2,3,4,5, which can repeat. How many are there?
Difference 3908
Determine the fourth term and the difference AP if a1 = 3.2 and a2 + a3 = 7.
Determine 3904
Determine the seventh GP member if a1 = -3.4, q = 5
Third member
Determine the third member of the AP if a4=93, d=7.5.
Three friends
Three friends divided the profit by 104,650 CZK so that for every 4 CZK, which got the first friend, equals five crowns for the second, and for every 9 CZK, which got the second, equals 16 CZK for the third. Question: Who got the most and how much?
Billiard balls
A layer of ivory billiard balls radius of 6.35 cm is in the form of a square. The balls are arranged so that each ball is tangent to everyone adjacent to it. In the spaces between sets of 4 adjacent balls, other balls rest, equal in size to the original.
Probability 3891
Michal chose blue, white, red, orange, black, and brown shorts. What is the probability that he will select blue shorts?
Sum of members
What is the sum of the first two members of the arithmetic progression if d = -4.3 and a3 = 7.5?

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