Examples for secondary school students - page 153 of 230
Number of problems found: 4583
- Test - questions
You have a test with eight questions, where you can choose from 3 answers for each question, and one answer is always correct. The probability that we answer 5 or 6 questions correctly when randomly filling in (that is, we all guess the answers) is ……. Th - Equation 5013
Solve the equation in quotient form: 6x * (3x-2) / x + 7 = 0 - Diamond diagonals
Calculate the diamond's diagonal lengths if its area is 156 cm² and the side length is 13 cm. - Diameters of circles
How many percent of the area of a larger circle is a smaller circle if the smaller circle has a diameter of 120 mm and a larger one has a diameter of 300 mm? - Angle of deviation
The surface of the rotating cone is 30 cm² (with a circle base), and its surface area is 20 cm². Calculate the deviation of this cone's side from the base's plane. - Combined interest
Combined interest: Carol has deposited CZK 100,000 in the bank with an annual interest rate of 1.5%. The money was put into the account on 5.5.2016 and withdrawn all before Christmas on 20.12.2016. How much money did she withdraw? - Compound interest
Compound interest: Clara deposited CZK 100,000 in the bank with an annual interest rate of 1.5%. Both money and interest remain deposited in the bank. How many CZK will be in the bank after three years?
- 3 years savings
Simple interest problem. Tereza has deposited CZK 100,000 in the bank with an annual interest rate of 1.5%. Interest is added each year and left aside. How many CZK (crowns) will you have in total after three years? - Nice prism
Calculate the cuboid's surface if the sum of its edges is a + b + c = 19 cm and the body diagonal size u = 13 cm. - Grandfather
The grandfather is three years older than the grandmother. The average age of the grandmother, the grandfather, and their seven grandchildren is 28. The grandchildren have a total of 105 years. Calculate how old grandfather is. - Digits
How many natural numbers greater than 4000 are formed from the numbers 0,1,3,7,9 with the figures not repeated, B) How many natural numbers will be less than 4000, and can the numbers be repeated? - Candies
There are two types of candies in the store 20 CZK/kg and 80 CZK/kg. How much will a mixed cost if we mix 22kg cheaper and 4kg more expensive candies? - Circumference 4956 Calculate the circumference of a diamond whose area is 288cm square and one diagonal is 12.4cm.
- Arithmetic 4955
Cans are stored in n-layers above each other according to the arithmetic sequence. There are 37 cans in the tenth layer and a total of 190 cans in all ten layers. How many cans are in the first layer? b) total in all n layers c) express the given sequence - Right-angled 4951
Calculate the volume and surface area of the body that is created by cutting out a three-sided prism of the same height from a cuboid with dimensions of 10 cm, 15 cm, and 20 cm, whose base is a right-angled triangle with dimensions of 3 cm, 4 cm, and 5
- Math logic
There are 20 children in the group. Every two children have a different name. Alena and John are among them. How many ways can we choose eight children to be among the selected A) was John B) was John and Alena C) at least one was Alena, John D) maximum o - Acceleration 2
If a car traveling at a velocity of 80 m/s/south accelerated to a speed of 100 m/s east in 5 seconds, what is the car's acceleration? Using Pythagorean theorem - Plot
The length of the rectangle is 8, smaller than three times the width. If we increase the width by 5% of the length and the length is reduced by 14% of the width, the circumference of the rectangle will be increased by 30 m. What are the dimensions of the - Linear function
What is the equation of linear function passing through points: a) A (0,3), B (3,0) b) C (-2,-6), D (3,4) - Quadrilateral 2
Show that the quadrilateral with vertices A(0,1), B(4,2), C(3,6) D(-5,4) has two right triangles.
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