Examples for secondary school students - page 148 of 230
Number of problems found: 4582
- Big number
What is the remainder when dividing 10 by 9 to 47 - 111? - MO Z9–I–2 - 2017
VO is a longer base in the VODY trapezoid, and the diagonal intersection K divides the VD line in a 3:2 ratio. The area of the KOV triangle is 13.5 cm². Find the area of the entire trapezoid. - Average age
The average age of all people at the celebration was equal to the number of people present. After the departure of one person who was 29 years old, the average age was again equal to the number present. How many people were original to celebrate? - Rate or interest
At what rate percent will Rs.2000 amount to Rs.2315.25 in 3 years at compound interest? - Calculate 5391
Viktor shot darts into a circular target with a radius of 5 cm. Inside the circle is a smaller circle with a radius of 2 cm. Calculate Viktor's chance of hitting a smaller circle in percent. - Functions f,g
Find g(1) if g(x) = 3x - x² Find f(5) if f(x) = x + 1/2 - Trapezium internal angles
A trapezium where AB is parallel to CD, has angle A : angle D = 4 :5, angle B = 3x-15 and angle C = 4x+20. Find angle A, B, C and D.
- Ladder slope
What is the slope of a ladder 6.2 m long and 5.12 m in height? - Determine 5324
An isosceles triangle with base c and arms a is given by: a = 50.3 cm c = 48.2 cm Determine the interior angles and heights of the base c. - Hectares 5323
At a speed of 4 km/h, we go around the lake, which has the shape of a circle, in 36 minutes. What is the area of the lake? Please result express in hectares. - Shelter 5316
The sun rises east of the shelter and sets in the west. A goat would gather a little shade. Where and what kind of tree should be planted so that it does not bypass it? - Right angled triangle 2
LMN is a right-angled triangle with vertices at L(1,3), M(3,5), and N(6,n). Given angle LMN is 90° find n - US GDP
Consider the following dataset, which contains the domestic US gross in millions of the top-grossing movies over the last five years. 300,452,513,550,780 I. Find the Mean of the Dataset II. Find the Squared deviation of the second observation from the mea - Environment 5302
Calculate the force exerted by two balls with charges of +3 μC and - 4 μC when they are 60 mm apart. Calculate the influence of the environment for a vacuum (k = 9.109 m / F). - The mast
A 40 m high mast is secured in half by eight ropes 25 m long. The ends of the ropes are equidistant from each other. Calculate this distance.
- Determinants 5290
The determinant of the product of 2 square matrices has the value 3. What is the product's value of the respective determinants of these matrices? - Geometric seq
Find the third member of geometric progression if a1 + a2 = 36 and a1 + a3 = 90. Calculate its quotient. - Exponential equation
Solve for x: (4^x):0,5=2/64. - Part-timers 5281
Three part-timers have a total of CZK 2,850. The first received 20% less than the second part-timer, and the third part-timer received CZK 50 more than the second part-timer. How much CZK did the first, second, and third part-timers get? - Quadrilateral 5277
Given a regular quadrilateral pyramid ABCDV, point M is inside its edge AV, and point N is on the long line DC beyond point C. Construct the intersection of the plane MNV with the plane BCV and the intersection of the line MN and the plane BCV.
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