Sets - practice for 13 year olds - page 3 of 4
Number of problems found: 77
- Return 15193
Fiona sets off from the tower after Shrek at 9:10 at a speed of 6 km/h. Shrek starts to meet her from the swamp at 9:50 at a speed of 4 km/h. At 10:50, they meet and return back to the swamp at a speed of 4 km/h. What time does he arrive at the swamp? - Christmas or Easter
Please calculate this example by the Venn equation. They asked 73 students whether they liked Christmas or Easter. Thirty-four of them like one of the holidays. 39 loves Easter. There are twice as many students who wish for both holidays as those who only - Eq triangle minus arcs
In an equilateral triangle with a 2cm long side, the arcs of three circles are drawn from the centers at the vertices and radii 1cm. Calculate the area of the shaded part - a formation that makes up the difference between the triangle area and circular cu - Two sets
Suppose Set B contains 69 elements, and the total number of elements in either Set A or Set B is 124. If sets A and B have 29 elements in common, how many elements are contained in set A?
- Construct 11511
Construct the diamond ABCD so that its diagonal BD is 8 cm and the distance of apex B from the line AD is 5 cm. Specify all options - Three excursions
Each pupil of the 9A class attended at least one of the three excursions. There could always be 15 pupils on each excursion. Seven participants of the first excursion also participated in the second, 8 participants of the first excursion, and 5 participan - Sufficient 9391
In Kocourkov, they use coins with only two values expressed in Kocourkov crowns by positive integers. With a sufficient number of such coins, it is possible to pay any integer amount greater than 53 cats’ crowns accurately and without return. However, we - Intersection 8295
Write whether the function is ascending or descending and determine the coordinates of the intersection with the x and y axes: y = 3x-2 y = 5x + 5 y = -0.5x-1 - Marriage sttus
In our city, 3/5 of the women are married to 2/3 of the men. Find what part of the population is free.
- Smallest 7478
The hat has 14 grays, eight white, and six mice. What is the smallest number of mice we have to pull out of our hats to ensure we have at least one mouse of each color? - Languages 7160
Out of 100 students, 30 studied German, 28 studied German, 42 learned French, eight studied German and German, 10 German and German, and 5 German and German. How many students have learned all three languages? - Mathematical 7136
Out of 50 pupils, 44 solved at least one of the Olympiads - MO Mathematical Olympiad and BO Biology Olympiad. Twenty pupils still need to solve the MO. Of those who dealt with both Olympiads, 1/3 of those who dealt with just one were. How many pupils solv - Twenty-nine 7081
Twenty-nine people lost bread rolls. Eighteen people tasted the cake. Thirty-two people offered themselves drinks. Seven people had a drink with cake. Eighteen people had bread and a drink. Eight people had bread and cake. Five people offered themselves t - Mba studium
At MBA school, fourth-year students can choose from three optional subjects: a) mathematical methods, b) social interaction, c) management Each student studies one of these subjects. The mathematical methods studied 28 students, the social interaction wit
- Refrigerator 6703
Calculate how much we will pay for 1 hour of consumed electrical energy if the seller sets a price of 0.126 euros for 1 kWh (all appliances together for 1 hour of work). Table: Appliance Power (W) Washing machine 2300 W Bulb 40W Refrigerator 200W TV 110W - English-German 6443
Two foreign languages are compulsory from the fourth grade. Only a tenth of the class did not choose English, and a fifth did not take German. Fifteen children learn French this way. Calculate how many pupils chose the English-German combination. - Subsets
How many 19 element subsets can be made from the 26 element set? - Languages 5741
There are 21 children in the class. Of these, 12 are learning German, and 16 are learning French. How many children learn both languages, and how many children only learn French? Cut out using a cartoon set. - Participants 5319
In the mathematical competition, its participants solved two tasks. Everyone solved at least one problem, while 80% of the participants solved the first problem, and 50% solved the second problem. Sixty participants solved both tasks. How many participant
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