Examples for secondary school students - page 198 of 222
Number of problems found: 4435
- Vector - basic operations
There are given points A [-9; -2] B [2; 16] C [16; -2] and D [12; 18] a. Determine the coordinates of the vectors u=AB v=CD s=DB b. Calculate the sum of the vectors u + v c. Calculate the difference of vectors u-v d. Determine the coordinates of the vecto
- Divisors
The sum of all divisors unknown odd number is 2112. Determine the sum of all divisors of a number that is twice unknown numbers.
- De Moivre's formula
There are two distinct complex numbers, such that z³ is equal to 1 and z is not equal to 1. Calculate the sum of these two numbers.
- BW-BS balls
Adam has a full box of large or small balls, black or white. The ratio between large and small balls is 5:3. Within the large balls, the ratio of black to white is 1:2, and between small balls, the ratio of black to white is 1:8. What is the ratio of all-
- Variations 4/2
Determine the number of items when the count of variations of the fourth class without repeating is 600 times larger than the count of variations of the second class without repetition.
- Variations
Find the number of items when the count of variations of the fourth class without repeating is 42 times larger than the count of variations of the third class without repetition.
- KLMN
In the KLMN trapezoid is given this information: 1. segments KL and MN are parallel 2. segments KL and KM have the same length 3. segments KN, NM, and ML have the same length. Determine the size of the angle KMN.
- Alloy
The first alloy is a mixture of two metals in the ratio 1:2; the second is a mixture of the same metals in the ratio 2:3. At what ratio do we have these two alloys put into the furnace to obtain a new metal alloy with a ratio of 17:27? (All three ratios c
- Tiles
From how many tiles, 20 cm by 30 cm, we can build a square of maximum dimensions if we have a maximum of 275 tiles.
- Segments
We divide line segments 59 cm and 5.3 dm long into equal parts, the lengths of which are expressed as integers in centimeters. How many ways can we divide?
- RT 11
Calculate the area of the right triangle if its perimeter is p = 45 m and one cathetus is 20 m long.
- 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 in 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?
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