Examples for secondary school students - page 46 of 237
Number of problems found: 4730
- An Elizabethan collar
An Elizabethan collar is used to prevent an animal from irritating a wound. The angle between the opening (diameter 6 inches) with a 16-inch diameter and the side of the collar is 53 degrees. Find the surface area of the collar shown. - One side 2
One side of the rectangle is three times larger, and the other is 4 cm smaller than the side of the square. Find the area of the square if more than the area of the rectangle by 10 cm². - A biologist
A biologist knows that the average length of a leaf of a certain plant is 4 inches. The standard deviation of the population is 0.6 inches. A sample of 20 leaves of that type of plant given a new type of plant food had an average length of 4.2 inches. At - A hiker
A hiker plans to hike up one side of a mountain and down the other side of points a mountain, each side of the mountain formed by a straight line. The angle of elevation at the starting point is 42.4 degrees, and the angle of elevation at the end is 48.3 - Chocolate bar price
Adam and Andrej bought sweets. Adam paid € 2.9 for three chocolates and 2 bars, and Andrej paid € 4 for four chocolates and 3 bars. How much did the chocolate cost, and how much did the bar cost? - Deposit for house
The current house price is $300000, with prices increasing by 3% yearly. A buyer wishes to purchase the house in 5 years. The bank requires a 10%deposit on the price of the house in order to grant a loan. How much would the buyer need to deposit each quar - Observatory and aircraft
The aircraft flying towards the observatory was aimed at a distance of 5300 m at an elevation angle of 28º and after 9 seconds at a distance of 2400 m at an elevation angle of 50º. Calculate the distance the plane has flown in this time interval, its spee - An azimuth
The patrol had started at a designated marching angle (an azimuth) of 13°. After 9 km, the azimuth's angle changed to 62°. The patrol went 10 km in this direction. Find the distance from where the patrol started. - Test of robots We have an automatic line for producing kitchen robots. We want to help by Wald's test to test whether the share of defective robots does not exceed 5% by more than 1%. We can test up to 200 robots at once. The costs of the performed test are 50 Kč on the
- An equivalent
An equilateral triangle has the same perimeter as a rectangle whose sides are b and h (b > h). Considering that the area of the triangle is three times the area of the rectangle. What is the value of b/h? - Truck material delivery
Two different trucks together would bring the construction material in 6 hours. However, after 4 hours, the first car was transferred to another job, and the second one was driven for another 6 hours. How many hours would it take for the first car to deli - Big tower
From a tower 15 meters high and 30 meters away from the river, the width of the river appeared at an angle of 15°. How wide is the river in this place? - Mr. Cruz Mr. Cruz borrowed 21,600 euros for three years at 16 2⁄3% compounded annually. At the same time, Mr. Santos borrowed the same Amount at Simple Interest for the same period and at the same interest rate. Who Pays more and how much?
- Two alloys
Two alloys, Y and Z, are each made up of zinc, tin, and copper. In alloy Y, the ratio of zinc to tin is 2:5, and the ratio of copper to tin is 4:3. Find the ratio of copper:zinc:tin in alloy Y. - Monthly savings account I will deposit CZK 1,500 into my savings account every month. After ten years, what will be in the account if the interest rate is 4%, the interest period is one month, and the interest tax is 15%?
- Second prize
Jamie and Mark each bought a raffle ticket for a draw of 125 tickets total. The first ticket drawn wins the prize of the winner's choice and is removed from the draw. The holder of the second ticket drawn wins the remaining prize. Find the probability tha - Apple pear division
How many ways can you divide two identical apples and: a) 3, b) 4, c) 5 identical pears between Jane and Gretel? - Operation expression value
The operation ♤ is defined by the relation A ♤ B = AB - A - B. What is the value of the expression 5 ♤ (4 ♤ 3) equal to? - Card number probability
On ten identical cards, there are numbers from zero to nine. Determine the probability that a two-digit number randomly drawn from the given cards is: a) even b) divisible by six c) divisible by twenty-one - Dice same probability
We have a loaded die where numbers appear with probabilities P(1)=0.1; P(2)=0.2; P(3)=0.22; P(4)=0.16; P(5)=0.24; P(6)=0.08. Determine the probability that two tosses give the same number.
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