Examples for secondary school students - page 217 of 223
Number of problems found: 4451
- Cyclist
The cyclist goes uphill 7 km for 46.9 minutes and downhill minutes for 15.4 minutes. Both are applied to the pedals with the same force. How long does he pass 7 km by plane?
- Powers
Express the expression (1000) ^ (21) * (10) ^ (101) * (10) ^ (145) as the n-th power of the base 10.
- Daily average
Calculate the average temperature during the day, when 14 hours were 24 °C and 10 hours was 14 °C.
- Rectangle
In a rectangle with sides, 8 and 9 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than any side of the rectangle?
- Equation
Equation f(x) = 0 has roots x1 = 64, x2 = 100, x3 = 25, x4 = 49. How many roots have equation f(x²) = 0?
- Function
For linear function f(x) = ax + b is f(19)=141; f(20)=168. Calculate m, if f(m) = 2018.
- Power
Number left(sqrt(14 * sqrt[ 4 ] (14)) right) 17 can be written in the form 14^x. Find the value of x.
- 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 14%. What will the wire diameter be with diameter 19 mm over 10 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 16 cm, 20 cm, and 15 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)
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