Examples for secondary school students - page 35 of 230
Number of problems found: 4582
- Find k
Find k so that the terms k-3, k+1, and 4k-2 form a geometric sequence. Show your solution. - Crosswind
A plane is traveling 45 degrees N of E at 320 km/h when it comes across a current from S of E at 115 degrees of 20 km/h. What are the airplane's new course and speed? - A Petri
A Petri dish contains 35 cells. Every day, each cell in the Petri dish divides into 2 cells in a process called mitosis. How many cells are there after 14 days? - Temperature 79404
The aluminum coil line has a resistance of 4.6 Ohm at an elevated temperature of 64°C. At what base temperature will the resistance be 2 ohms? - General triangle
Given a general triangle ABC. Its perimeter is 30 cm, with side a=2 cm longer than side b and 5 cm shorter than side c. Determine the area of the triangle. - Acceleration 79354
A safe jump is considered to be one in which a person hits the ground at a maximum speed of 8m/s. Determine the maximum height from which jumping and landing on the moon is safe. The acceleration on the earth is g= 10 m/s², and the acceleration on the moo - Corresponding 79314
On the circular face of the clock, we connect the points corresponding to the numbers 2, 9, and 11, which creates a triangle. Calculate the sizes of all the interior angles of that triangle.
- Dimensions - pool
The swimming pool dimensions are as follows: l:w:h = 10:4:1. The pool can hold 625 m³ of water. Calculate how many square meters of tiles need to be purchased for lining the pool walls if we add 5% for waste. - The third 2
The third term of an arithmetic sequence is -12, and the seventh term is 8. What is the sum of the first 10 terms? - Multiples of eight Find the sum of the first 25 multiples of 8.
- Jacob 2
Jacob took five summative tests in Mathematics during the first quarter, each with a maximum score of 100. Jacob's five integer test scores have a mean of 85, a median of 87, and a mode of 92. What is Jacob's lowest possible score from one of his five tes - AP - general term
Find the sum of the first 12 terms of the arithmetic sequence whose general term is an=3n+5. - What is 21 What is the next number? What is the 7th number? 160, 80, 40, 20, 10, _
- Stamps 79154
Milan has four times more marks than Anka. Anka has twice as few grades as Juro. They have a total of 91 stamps. How many stamps does each person have? - Rectangle - diagonal
A rectangle whose one side measures 35m and the other is 7m shorter than the diagonal of the rectangle. Calculate its area in m² (square meters).
- Swimming 79054
One hundred seventy-one pupils from the second to fourth years of primary school participated in swimming training. How many of them were from the fourth grade if there were 10% more third graders than second graders and 20% more fourth graders than third - Bag of marbles
In a bag full of marbles, 1/4 of these marbles are green, 1/8 are blue, 1/2 are yellow, and the remaining 26 are white. How many marbles are blue? - Rectangle - area and width The length of the rectangle is 1 cm more than its width. Its area is 4 cm². What is its width?
- Quadrilateral 78874
Given is a quadrilateral ABCD inscribed in a circle, with the diagonal AC being the circle's diameter. The distance between point B and the diameter is 15 cm, and between point D and the diameter is 18 cm. Calculate the radius of the circle and the perime - A construction 2
A construction company will be penalized for its bridge construction delays. The penalty is set at 4,000 for the first day and shall be subjected to a 1,000 increase for each succeeding day. The company can afford a maximum payment of 165,000 for a penalt
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