Examples for secondary school students - page 191 of 215
Number of problems found: 4282
- Virus
We have a virus that lives one hour. Every half hour produces two child viruses. What will be the living population of the virus after 3.5 hours?
- Stock market
Simon one day decided to invest € 38000 in the stock market. After six months, he invested July 6 stock markets fell by 43%. Fortunately for Simon, from July 6 5 to October 6, his shares have risen by 22%. Simon is then: ...
- Package
The package has no more than 66 m of cloth. If we just cut it all on the blouses or all on dresses, no cloth left to remain. On the one blouse consumes 1.3 m of cloth and on one dress 5 m. Determine the amount of the cloth in the package.
- Radians compare
What is the greater angle? -0.7 radians or -0.7π radians?
- Triangle
The triangle has known all three sides: a=4.6 m, b=7.4 m, c= 3.8 m. Calculate the area of this triangle.
- Box
The cardboard is a box-shaped quadrangular prism with a rhombic base. Rhombus has a side 5 cm, one diagonal 8 cm long, and the box's height is 12 cm. The package will open at the top. How many cm² of cardboard do we need to cover overlap and joints that a
- AS sequence
In an arithmetic sequence is given the difference d = -3 and a71 = 455. a) Determine the value of a62 b) Determine the sum of 71 members.
- Pairs
Teachers must choose one pair of boys and girls from the five girls and four boys. A) How many such pairs of (M + F)? B) How many pairs were only boys (M + M)? C) How many are all possible pairs?
- Midpoint of segment
Point A has coordinates [4; -11], and the midpoint of segment AB is point [17; -7]. What are the coordinates of point B?
- Distance
What is the distance between the origin and the point (-11; 13)?
- Vectors
Vector a has coordinates (8; 10), and vector b has coordinates (0; 17). If the vector c = b - a, what is the magnitude of the vector c?
- Vector sum
The magnitude of the vector u is 12 and the magnitude of the vector v is 8. The angle between vectors is 61°. What is the magnitude of the vector u + v?
- Aircrafts
Above the town, the hall tower flew the plane at a constant speed of 510 km/h, and 15 minutes later, the second plane at a speed of 703 km/h. How long and how far from the town hall will it be for aircraft to catch up?
- Leg
Determine the trapezoid area with bases 32 and 12; the height is 2 shorter than its leg.
- Cosine
Calculate the cosine of the smallest internal angle in a right-angled triangle with cathetus 3 and 8 and the hypotenuse 8.544.
- Comparing powers
How many times is number 56 larger than number 46?
- Diagonals
Calculate the length of the rhombus's diagonals if its side is long 5 and one of its internal angles is 80°.
- Two cars
Car A1 goes at an average speed of 106 km/h and the second car, A2, goes at 103 km/h. How many seconds will it take car A1 to circulate car A2? Assume that both cars are 5 meters long and the safety gap between cars is 1.5 meters.
- Inscribed rectangle
The circle area is 216. Determine the area of the inscribed rectangle with one side 5 long.
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