Examples for secondary school students - page 207 of 222
Number of problems found: 4435
- Road
A ratio of 1:15 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 45 km/h. One cyclist lost with defect 8 minutes. How long and far must he go at speed 51 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 4%, and retail still has a profit of 6.3%? Goods are sold at retail for 25 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 35 km/h and follows a pedestrian walking at speed 4 km/h. The walker has an advantage 19 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 91%. 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=112. Calculate the radius of the sphere which is cut in this segment.
- Vector
Calculate the length of the vector v&; 8407; = (9.75, 6.75, -6.5, -3.75, 2).
- Overload
Calculate how many g's (gravity accelerations) the glider pilot when turning the horizontal circles of radius 148 m flying at 95 km/h. Centripetal acceleration is proportional to the square of the speed and inversely proportional to the radius of rotation
- 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?
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