Examples for secondary school students - page 224 of 230
Number of problems found: 4586
- Colors
Arnold got birthday 7 color pens in different colors. How many ways can he give them side by side in pencil?
- Map
Forest has an area of 77 ha. How much area is occupied by forest on the map at scale 1:10000?
- Wire
One pull of wire is reduced by its diameter by 13%. What will the wire diameter be with diameter 6 mm over 6 pulls?
- Hockey
The hockey match ended 8:10. How many different matches could be?
- One half
One-half of 2 63 is: ...
- Line
Is it true that the lines that do not intersect are parallel?
- Gauss
Help little C.F. Gauss sum all the integers from 1 to 400.
- Product
The product of two consecutive odd numbers is 1295. What are these numbers?
- Pipeline
How much percent has the pipe cross-section area changed (reduced) if the circular shape is changed to square with the same perimeter?
- Circles 2
Calculate the area bounded by the circumscribed and inscribed circle in a triangle with sides 29 cm, 16 cm, and 21 cm.
- Arc and segment
Calculate the length of circular arc l, the area of the circular arc S1, and the area of circular segment S2. The circle's radius is 88, and the corresponding angle is (4)/(7) π.
- Calculation of CN
Calculate: (486 choose 159) - (486 choose 327)
- Sequence
Calculate what member of the sequence specified by (5n-2+15) has value 20.
- Pumps
The tank is filled with two pumps in 23 minutes. The first pump is filled in 37 minutes earlier than the second one. How many minutes is filled with the first pump?
- Diofant 2
Is equation 1140x +876y = 48 solvable on the set of integers Z?
- Diofant equation
In the set of integers (Z), solve the equation: 212x +316y =0 Write result with integer parameter t in Z (parameter t = ...-2,-1,0,1,2,3... if equation has infinitely many solutions)
- Subsets
How many are all subsets of set C = (97, 67, 66, 18, 59, 64)?
- Roots
Find the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: 5x ² +9x + q = 0
- Biquadratic
By introducing a new variable, solve the biquadratic equation: - x 4 +277 x² -15876=0
- Meridian
What is the distance (length) of the Earth's meridian 41° when the radius of the Earth is 6370 km?
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