Examples for secondary school students - page 211 of 222
Number of problems found: 4435
- Components
The 8 white, 4 blue, and 2 red components are in the box. What is the probability that we pull one white, one blue, and one red component without returning it?
- Gutter
How much metal is needed to produce 60 pieces of gutter pipes with the diameter 17 cm and length of 6 m? The plate bends add 6% of the material.
- Sequence
The arithmetic sequence is given: Sn=1656, d=6, an=138 Calculate a1 and n.
- Similarity
The area of the regular 10-gon is 563 cm². The area of similar 10-gon is 606 dm². What is the coefficient of similarity?
- Quadrant
In what quadrant is a -1165° angle?
- No. of divisors
How many different divisors have number 13 4 * 2 4?
- Bonus
The gross wage was 1323 USD, including the 25% bonus. How many USD were bonuses?
- Slope
What is the slope of a line with an inclination 3.96 rad?
- Perpendicular
Find the slope of the line perpendicular to the line p: y = 8x +6.
- Cylinders
The area of the side of two cylinders is the same rectangle of 48 cm × 38 cm. Which cylinder has a larger volume, and by how much?
- Line
Line p passes through A[5, -3] and has a direction vector v=(2, 3). Is point B[3, -6] on the line p?
- n-gon
Gabo draws an n-gon, in which angles are consecutive members of an arithmetic sequence. The smallest angle is 70° biggest 170°. How many sides have Gabo's n-gon?
- Sea water
Mixing 63 kg of seawater with 43 kg rainwater is created water containing 2.7% salt. How much percent of seawater contains salt?
- Cinema
The Cinema auditorium is built for 3300 people. The first row is planned for 36 seats, and each next gradually 4 more. How many rows of seats will have an auditorium?
- Camel
Camel's owner wants to get out of the city into an oasis. He bought 3000 bananas, which he wants to sell in the oasis. However, an oasis from the city divided 1,000 kilometers of desert. Camel can carry up to 1000 bananas and eats one banana for every kil
- Bath
There are 30 liters of hot water in the bath. Then we added 36 liters of cold water at a temperature of 19 °C and decreased the temperature of the water to 41 °C. What was the initial temperature of the hot water?
- Scrap
From 19 products are 4 scraps. What is the probability that the random pick of 2 products has no defective product?
- Sequence
In the arithmetic sequence, is a1=-8, d=-3. Which member is equal to the number -155?
- Regular 5-gon
Calculate the area of the regular pentagon with side 16 cm.
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