Examples for secondary school students - page 215 of 230
Number of problems found: 4597
- Road
A ratio of 1:19 gives the average climb of the road. By what angle does the road moderate climb? - Divisibility
Determine the smallest integer which divided 11 gives remainder 4. When divided, 15 gives remainder 10 and when divided by 19 gives remainder 16. - Q-Exam
If tg α = 8.6, Calculating sin α, cos α, cotg α . - Greatest angle
Calculate the greatest triangle angle with sides 124, 323, 302. - Peleton
The cycling race was run at an average speed of 42 km/h. One cyclist lost with defect 9 minutes. How long and far must he go at speed 47 km/h to catch the peloton again? - Retail
At what price can the retail 1 kg goods be bought from wholesale if the weight lost in distribution is 1.5%, and retail still has a profit of 7.8%? Goods are sold at retail for 20 euro per kg. - SAS triangle
The triangle has two sides, long 7 and 19, and includes angle 47°24'. Calculate the area of this triangle. - Cyclist
A cyclist is moving at 34 km/h and follows a pedestrian walking at speed 5.5 km/h. The walker has an advantage 12 km. How long does it take a cyclist to catch up with him? - Sequence
Between numbers, 11 and 115, insert n members of the arithmetic sequence whose sum is 2835. - Reference angle
Find the reference angle of each angle: - Rhombus and inscribed circle
It is given a rhombus with side a = 6 cm and the inscribed circle r = 2 cm radius. Calculate the length of its two diagonals. - Square
If we increase the side of the square, increase its area of 50%. What is the percentage we increase the side of the square? - Probabilities
If probabilities of A, B, and A ∩ B are P (A) = 0.62, P (B) = 0.78, and P (A ∩ B) = 0.26, calculate the following probability (of the union. intersect and opposite and its combinations): - Spherical segment
The spherical segment with height h=2 has a volume of V=225. Calculate the radius of the sphere which is cut in this segment. - Vector
Calculate the length of the vector v&; 8407; = (0.75, 5.5, 7.25, 1.25). - Overload
Calculate how many g's (gravity accelerations) the glider pilot when turning the horizontal circles of radius 139 m flying at 126 km/h. Centripetal acceleration is proportional to the square of the speed and inversely proportional to the radius of rotatio - Segment
Calculate the segment AB's length if the coordinates of the end vertices are A[0, -2] and B[-4, 9]. - Interest
What is the annual interest rate on your account if we put 32790 and after 176 days received 33939.2? - Climb
The road sign that informs the climb is 10.3%—the car drives 10 km along this road. What is the height difference that the car went? - Chebyshev formula
To estimate the number of primes less than x Chebyshev formula is used: Pi(x) = 1.11 (x)/(ln x). Estimate the number of primes less than 30300537.
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