Examples for secondary school students - page 50 of 230

Number of problems found: 4597

Conductor 66234
How long does a charge of 600 Coulombs pass through the conductor at a current of 1 Amper?
Earlier 66144
If Petra read four pages more a day, she would read the book two days earlier than if she read six pages a day. How many pages does the book have?
Circumference 66134
The isosceles trapezoid ABCD has an area of 36 cm². One of its bases is two times longer than the other. Height is 4 cm. Calculate the circumference of the trapezoid.
Summands 66044
Divide the number 6 into three summands x, y, z so that x: y = 4:3, y: z = 1:2.
Interest 66024
How much do I have to save per month to save CZK 100,000 in 5 years if the interest rate is 4%, the interest period is one month, and the interest tax is 15%?
Word OPTICAL
Find the number of possible different arrangements of the letters of the word OPTICAL such that the vowels would always be together.
Vertically 65984
We threw the stone vertically upwards at a speed of v = 15 m/s. How long will it be at a) 10 m, b) 12 m?
Parallelogram - angle alfa
In the parallelogram ABCD the length of sides are AB = 8, BC = 5, BD = 7. Calculate the magnitude of the angle α = ∠DAB (in degrees).
6 married
Six married couples are in a room. If two people are chosen at random. Find the probability that; a). they are married. b). one is male, and one is female.
Investment
If an investor invests $2000 on January 1st, every year guarantees him 4% per annum. If the interest is calculated on December 31st, how much will the account be at the end of the 10th year?
Biggest 65704
The four boys shared the prize of 680 € in a ratio of 2:4:1:3. How many euros did the boy whose share in the prize was the biggest get?
Circumference 65674
The circumference of the triangle is 125 cm. The shortest side is 12 cm shorter than the longest side. The longest side is 7 cm longer than the middle side. How long is the middle side?
Different 65654
Jane received three different marks (1-5) during the day. How many marks did she receive? A) 6 B) 8 C) 10 D) 12
Three sigma rule
Stomach weights are normally distributed, with a mean of 1314g and a standard deviation of 113g. State the probability that a randomly selected stomach weighs more than 1118g. (Report the probabilities using at least four decimal places. )
All multiples
Set A is a set of all multiples of 2, and set B is a set of all multiples of 3. If the P (A)=0.6 and P (B)=0.3. Find P (AUB).
Possibility 65535
The bank offers a term account with the possibility of early withdrawal with an interest rate of 1.85 percent pa. Milan put 2,500 euros on it on January 2. If he withdraws the money after eight months, how many euros will he get?
Interest 65494
Martina invested 1,300 euros in the bank, and after a year, the bank credited her with an interest of 26.65 euros. What was this bank's annual interest rate?
An aircraft 2
An aircraft jet engine has a thrust of 80 kN. What impulse is produced in 30 seconds?
Calculate sphere cap
Calculate the surface of a spherical cap with a height of 6 cm and a radius of 15 cm
Parallelogram 65334
In a parallelogram, the sum of the lengths of the sides a+b = 234. The angle subtended by the sides a and b is 60°. The diagonal size against the given angle of 60° is u=162. Calculate the sides of the parallelogram, its perimeter, and its area.

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