WorksheetsVenn diagrams
Total questions: 12
Worksheet time: 18mins
Pat only owns books about dragons or knights. 37 of his books are about dragons, and 25 are about knights. How many books are about both dragons and knights, if Pat owns 45 books?
17
20
12
8
Two squares of paper, each with an area of 36 cm2, were thrown on the table (see picture). What length is the side of the green square, if the two papers together took up an area of 56 cm2 on the table?
2
3
4
larger than 4
Three workers were whitewashing the walls. Every dm2 of wall was whitewashed exactly twice, and no one whitewashed the same dm2 themselves.
Is it possible that the first worker did 85 dm2, the second 43dm2, and the third 55 dm2?
Three workers were whitewashing the walls. Every dm2 of wall was whitewashed exactly twice, and no one whitewashed the same dm2 themselves.
Is it possible that the first worker did 85 dm2, the second 43dm2, and the third 41 dm2?
Due to the overeating of customers, only two steaks became available at the Volcano steakhouse - rib-eye and sirloin. Out of the 48 customers present, 31 liked rib-eye, 32 liked sirloin, 19 liked both, and the rest insisted on being given t-bone. How many insisted on t-bone?
(a)
Every fourth programmer is a mathematician, and every ninth mathematician is a programmer. Are there more mathematicians or programmers?
more mathematicians
more programmers
A group of students are on a class trip to Italy. 18 of them like penne, 12 like conchiglie, 14 like tagliatelle, 8 like penne and conchiglie, 4 like penne and tagliatelle, 6 like conchiglie and tagliatelle. Only 3 like all the types of pasta. How many students are on the trip, if everyone likes at least one of the types?
23
26
29
this situation is impossible
In Mountaland live 41 dragons, the strength of which the locals measure using three criteria - the ability to swim, fly, and breathe fire. 11 can do all three, 16 can swim and breathe fire, 17 can fly and breathe fire, 18 can swim and fly, 19 can swim, 20 can fly, and how many can breathe fire - the residents have forgotten. Can you help the residents determine this number?
18
42
53
this situation is impossible
The three little pigs needed to reconstruct their houses. They found that without the first one they could get 45 Kč, without the second - 58Kč, and without the third - 47 Kč. How much money do they have altogether?
50
75
100
150
Every farm in Wales is home to at least one of the following animal species - cows, hens, and pigs. 73 farms are home to cows, 56 to hens, and 42 to pigs. 47 farms are home to at least two species, and only 9 are home to all three. How many farms are there in Wales?
133
209
162
115
In order to make sure everyone was ready for programming lessons, the teachers carried out a questionnaire to find out what computers the students had. Out of the total of 50 students, 34 had Windows, 26 had Mac, 8 had Linux, 15 had Mac and Windows, 2 had Windows and Linux, 4 had Mac and Linux, and only 1 person had all three computers. How many students didn't have a computer of one of those three types?
(a)
1. Some people who own cushions read 50 books a year.
2. Only people who don't read 50 books a year, cannot swim.
Does this mean that all people who can swim, own cushions?
