Examples for secondary school students - page 150 of 230
Number of problems found: 4597
- Matrix 5221
The rank of matrix A is 3. What rank will this matrix have if we add twice the second row to its first row? - Lines
How many lines can be drawn with 8 points if three points lie on one line and the other any three points do not lie on the same line? - Digits
How many five-digit numbers can be written from numbers 0.3,4, 5, and 7 divided by 10, and digits are repeated? - Intersect 5216 At how many points do ten lines intersect if no two are parallel?
- Ratio of two unknown numbers
Two numbers are hidden. Their sum is 30. We calculate one-sixth of a larger number and add it to both numbers. So we get new numbers whose ratio is 5:7. Which two numbers are they? - Direct route
From two different places A and B, connected by a direct route, Adam (from city A) and Bohus (from city B) started at a constant speed. As Adam continued to go from A to B, Bohus turned around at the time of their meeting, and at the same speed, he return - Fulfillment 5210
This company can complete the order in 168 days. The second company is better equipped and can fulfill the order in 120 days. The companies will fulfill the orders together. Determine how long it will take them to fulfill the order and in what proportion - Testing
Students in high school have 10 points for each good-solved task. Five points deduct the wrong answer. After solving 20 tasks, student Michael had 80 points. How many tasks did he solve correctly, and how many were wrong? - Doctor 2
A doctor noted the Diastolic Blood Pressure (DBP) of a large number of patients. Later, he scrambled the data to keep the privacy of his patients. Based on the scrambled dataset, he finds that the lower inner fence is equal to 50 and the upper inner fence - Six terms
Find the first six terms of the sequence a1 = -3, an = 2 * an-1 - Determine 5192
Determine the numbers x and y so that half of the number x is 30% of the number, and 60% of y is 90. - Garage
There are two laths in the garage opposite one another: one 2 meters long and the second 3 meters long. They fall against each other and stay against the opposite walls of the garage. Both laths cross 70 cm above the garage floor. How wide is the garage? - Difference 5186 The unknown number was first increased by 17%, and the result was the number A. The second time, the teacher reduced the original number by 8%, resulting in number B. The difference between the numbers A and B is 50. Determine the unknown number.
- Angles
In the triangle ABC, the ratio of angles is α:β = 4:5. The angle γ is 36°. How big are the angles α and β? - Variable
Find variable P: PP plus P x P plus P = 160 - Gas consumption
If the vessel consumes 100 tons of gas in 250 miles, how much fuel will it consume if it travels 400 miles? - Rectangular 5174 How many columns does a rectangular matrix contain, which contains 45 elements, and the number of its columns is five times larger than the number of its rows?
- Contain 5173 Write the number of units that contain a unit matrix with rows 3.
- Determinant 5172 Determine the determinant of a square matrix of type 4x4 if we know that it is zero.
- Truncated cone 5
The height of a cone is 7 cm, the length of a side is 10 cm, and the lower radius is 3cm. What could be the possible answer for the upper radius of a truncated cone?
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