Examples for secondary school students - page 169 of 237
Number of problems found: 4730
- Unions now
The plant has 1,250 employees. The Trade Unions (former ROH, OH) is 18% male and 23% female. Plant management reported that 20% of all employees are in the trade union. How many men and women are in the plant, and how many are men and women in trade union - Geometric progression
Determine the fourth GP member if q = 4 and a1 + a3 = 5.44 - Work together
Michael and Dorota would do the work together in 2.25 hours. If Dorota had to do it herself, it would have taken her 6 hours longer than Michael. Determine when Dorota will do the work herself and when Michael will do it himself. - Matrix determinant
The inverse matrix determinant to matrix C has a value of 0.125. Determine how often the determinant of the matrix C is larger than the determinant of the inverse matrix to the matrix C. - Models
On the catwalk there are three models: Miss Pink, Green, and Blue. Each of them is wearing a single-coloured dress: pink, green, and blue. "Strange," said Miss Blue. "We are called Pink, Green, and Blue, our dresses are pink, green, and blue, but none of - Triangle area
In triangle ABC, we connected the centers of the sides, and we got a smaller triangle with an area of 14 cm². What is the area of triangle ABC in square centimeters? - Difference AP 4
Calculate the difference of the AP if a1 = 0.5, a2 + a3 = -1.1 - Matrix determinant
The determinant of the inverse matrix to matrix B has a value of 0.25. What is the value of the determinant of matrix B? - Potatoes
Danielle and Michael would jointly dig potatoes for 7.5 hours. But if Danielle was working alone, she would take 2.5 hours more than if he were working with Michael. Determine how long Michael would take alone and how long Danielle would take alone. - Work time
Danielle and Michael would dig potatoes together in 7.5 hours. But if Danielle worked alone, it would take her 2.5 hours more than Michael. Find how long it would take Michael alone and how long it would take Danielle alone. - Baskets of apples
Grandfather gathered apples into baskets. He filled one large and three small baskets. Small baskets are identical; each can hold 3 kg of apples less than in a large basket. In small baskets together, 3 kg of apples over a large basket. How many kilograms - Octahedron - sum
On each wall of a regular octahedron is written one of the numbers 1, 2, 3, 4, 5, 6, 7, and 8, wherein on different sides are different numbers. John makes the sum of the numbers written on three adjacent walls for each wall. Thus got eight sums, which al - Z9–I–1
All nine fields of given shape are to be filled with natural numbers so that: • each of the numbers 2, 4, 6, and 8 is used at least once, • four of the inner square boxes containing the products of the numbers of adjacent cells of the outer square, • in t - Mrak - cloud
It is given segment AB, which is 12 cm in length, on which one side of the square MRAK is laid. MRAK's side length is 2 cm shown. MRAK gradually flips along the line segment AB, and point R leaves a paper trail. Draw the whole track of point R until the s - Educational trails
From point A to point C, an educational trail passes through point B and a red tourist sign; see the picture. In addition, an undrawn abbreviation 1500 meters long, starting at A and ending on the nature trail, can be used. Victor found that • the trip fr - The swing
Two girls are on a seesaw. Anna weighs 45 kg and Simone weighs 35 kg. How far from the pivot should Simone sit for the seesaw to be balanced, given that Anna sits 1.5 m from the pivot? How far apart are the girls sitting? - Four integers
Find four consecutive integers so that the product of the first two is 70 times smaller than the product of the next two. - Matrix determinant
The determinant of matrix A has the value 2. What will be the value of the inverse matrix determinant to matrix A? - Factorial equation
Determine the value of x in this equation: x! · 4 = x³. x is a natural number. - Consecutive numbers
The sum of four consecutive natural numbers is 90. Determine these numbers.
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