# Examples for secondary school students

#### Number of problems found: 2186

- Big numbers

How many natural numbers less than 10 to the sixth can be written in numbers: a) 9.8.7 b) 9.8.0 - Quadratic equation

Find the roots of the quadratic equation: 3x^{2}-4x + (-4) = 0. - Derivation

Exists a function whose derivation is the same function? - Geometric progression

In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is: sn≤217. - Non linear eqs

Solve the system of non-linear equations: 3x^{2}-3x-y=-2 -6x^{2}-x-y=-7 - Nineteenth member

Find the nineteenth member of the arithmetic sequence: a1=33 d=5 find a19 - Angle

Determine the size of the smallest internal angle of a right triangle which angles forming the successive members of the arithmetic sequence. - Sum of series

Determine the 6-th member and the sum of a geometric series: 5-4/1+16/5-64/25+256/125-1024/625+.... - Seedbeds

The father wants to plant 2 seedbeds of carrot and 2 seedbeds of onion. Use a tree chart to find how many different options for placing the seedbeds he has. - As shown

As shown, in △ ABC, ∠C = 90°, AD bisects ∠BAC, DE⊥AB to E, BE = 2, BC = 6, then the perimeter of △ BDE - Calculate 6

Calculate the distance of a point A[0, 2] from a line passing through points B[9, 5] and C[1, -1]. - Sixty

Sixty percent of one-fifteen of the total is equal to thirty. What are two percent of the total? - Lift

The largest angle at which the lift rises is 16°31'. Give climb angle in permille. - Saving per cents

The first day I save 1 cent and every next day cent more. How many I saved per year (365 days)? - 3d vector component

The vector u = (3.9, u3) and the length of the vector u is 12. What is is u3? - Crowns

1180 crowns are divided into three people: A got 20% less than B and C by 15% more than B. How many got A, B, and C? - Friends in cinema

5 friends went to the cinema. How many possible ways can sit in a row, if one of them wants to sit in the middle and the remaining's place does not matter? - Diagonals

Calculate the length of the rhombus's diagonals if its side is long 5 and one of its internal angles is 80°. - Lock

A combination lock will open when the right choice of 3 numbers (from 1 to 16 inclusive) is selected. A. How many different lock combinations are possible? B. Is the combination lock named appropriately? - Confectionery

The village markets have 5 kinds of sweets, one weighs 31 grams. How many different ways a customer can buy 1.519 kg sweets.

Do you have an interesting mathematical word problem that you can't solve it? Submit a math problem, and we can try to solve it.