Examples for secondary school students - page 148 of 230
Number of problems found: 4597
- Divisible 5454
How many natural numbers are divisible by five less than 8000, composed of the digits 0,1,2,5,7,9? - Acceleration 5451
The driver of a car traveling at a given moment at a speed of 72 km/h decides to overtake a car traveling at the same speed. Therefore, during 4.0 seconds, increase the speed to 90 km/h. Calculate how big his acceleration was and what path he covered when - Free fall
How long does the stone fall freely into a depth of 80m? What speed will it hit the bottom of the abyss? - Mother and daughter
The mother is four times older than her daughter. Five years ago, her daughter was seven times younger than her mother. How many years do they have now? - Ninth-grade 5446
When the ninth-grade boys and girls said goodbye at the end of the school year, they each gave each other their photos. It was a total of 552 images. How many farewells were there? - Equations 5445
The digit sum of a two-digit number is 8. If we change the order of the digits, we get a number 18 smaller than the original. Identify these numbers. We are using linear equations of two unknowns. - Variations 5437
From how many elements can we create six times as many variations of the second class without repetition as variations of the third class without repetition? - Word MATEMATIKA
How many words can be created from the phrase MATEMATIKA by changing the letters' order, regardless of whether the words are meaningful? - 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? - Isosceles triangle
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
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