Examples for secondary school students - page 147 of 237

Number of problems found: 4730

Prism + rhomboid
The prism-shaped vessel with a rhomboid base has one base diagonal of 10 cm and the edge of the base 14 cm. The edge of the base and the prism height are in a ratio of 2:5. How many liters of water is in the container when it is filled to four-fifths of t
Multiple-choice test
Students are writing a multiple-choice test with 10 questions, with answer options a), b), c), where always only one answer is correct. The teacher told them that in the test the number of correct answers is as follows: option a) 5 times, option b) 3 time
Gutter Sheet Metal Area
Gutters have the shape of half a cylinder. Their diameter is 16 cm, and the total length around the roof is 32.6 m. How many m² of sheet metal are needed to make them? Add 15% for connections and cleaning.
Masons Earnings Division Ratio
Three masons received 44,100 SK for plastering the house. This amount was divided according to the number of hours worked. The first received three times as much as the second, and the second received half as much as the third. Determine in what gradual r
Father 7
The father is six times older than his son. After four years, the father will only be four times older. What are their present ages?
Aquarium Dimensions and Volume
The aquarium dimensions are in the ratio a: b: c = 5:2:4. 6600 cm² of glass was used for its production. How many liters of water will fit in the aquarium if it reaches 5 cm below its edge?
Quality class
The probability that a product is of 1st, 2nd or 3rd quality class is 0.5, 0.3 and 0.2. The probability that products in these quality classes pass acceptance inspection at the customer is respectively 0.9, 0.7 and 0.2. a) What is the probability that a r
The bulbs
The bulbs are connected serially to two bulbs and one resistor. Each bulb has a resistivity of 100 ohms, and the resistor has a resistivity of 60 ohms. The voltage source in the circuit is 24 volts. Do you know what voltage to measure on individual applia
Inverse matrix columns
Find how many columns will contain the inverse matrix to matrix C if matrix C contains nine elements.
Flying
The airplane from Prague to Bratislava was flying at a speed of 60 km/h less and back by 70 km/h greater than the original speed. What was the original speed if the plane returned to Prague according to the timetable?
Exponential warm
Suppose that a body with temperature T1 is placed in surroundings with temperature T0 different from that of T1. The body will either cool or warm to temperature T(t) after time t, in minutes, where T(t)=T0 + (T1-T0)e^(-kt). If we placed jello salad at 30
Dice
We throw five times the dice. What is the probability that six fits precisely twice?
Ratio of Two Numbers
Fifty percent of the number x equals sixty percent of the number y. What is the ratio of the numbers x and y?
Sixty
Sixty percent of one-fifteen of the total is equal to thirty. What are two percent of the total?
Three points 2
The three points are A(3, 8), B(6, 2), and C(10, 2). Point D is such that the line DA is perpendicular to AB, and DC is parallel to AB. Calculate the coordinates of D.
Independent term
Find the term independent of x in the expansion of (4x³+1/2x)⁸
Curve and line
The equation of a curve C is y=2x² -8x+9, and the equation of a line L is x+ y=3 (1) Find the x coordinates of the points of intersection of L and C. (2) Show that one of these points is also the stationary point of C?
Radioactive material
A radioactive material loses 10% of its mass each year. What proportion will be left there after n=6 years?
Investment
1000$ is invested at 10% compound interest. What factor is the capital multiplied by each year? How much will be there after n=12 years?
Bank Annual Interest Rate
After a year, little Katka was on a passbook of thousands of euros. What was the annual interest rate in the bank, and the principal was 957 euros?

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