Addition + sets - practice problems
Number of problems found: 19
- Exactly 4
Exactly 1/6 of the kids are playing on the playground. Exactly 3/5 of the kids are playing soccer. Jack adds 1/6 + 3/5 to find the total fraction of kids at the park playing on the playground or playing soccer. Is he correct? - Spectators 83570
The theater is watched by 3900 spectators, 3200 of whom are women and 700 men, the rest being children. Thus, 3900 children watch the theater. - Students 83223
There are 24 students in the class. Eleven of them have a dog at home. The tiny rodent has 15 of them. No animal has 5 students at home. How many students have 2 pets at home? - Parametrically 82990
Calculate the sum of the x-coordinates of the intersections of the circle given by the equation (x - 1)²+ y² = 1 and the line given parametrically x = t, y = t , where t∈R.
- Children 82574
Twenty-nine children attend the club. Eleven said that they have a dog, 14 children have a cat, and 12 children have a hamster. Two children have all three animals. Seven children do not have any animals at home. How many children have at least two of the - Senior students
There are 7000 students at mountain high school, and 2/7 of these students are seniors. If 2/5 of the seniors favor the school forming a debate team and 3/8 of the remaining students, not seniors, are also forming a debate team, how many students do not f - Operations 66444
Consider an experiment with a dice. Let us define the random events A={at most 3}, B={roll more than 1}, C={roll 2, 3, 4}. Determine the random event D that is given by the operations A∪B \ B∪C - Ten pupils
Ten pupils came to the art group. Eight pupils painted with watercolors and nine painted with ink, each painted with ink or watercolors. How many pupils painted water and ink at the same time? - Four-digit 10261
Roman likes magic and math. Last time he conjured three- or four-digit numbers like this: • created two new numbers from the given number by dividing it between digits in the place of hundreds and tens (e.g., from the number 581, he would get 5 and 81), •
- Students 9181
Of 34 pupils, 17 skis and 21 skates, 12 practice both sports. a) how many students from the class ski or skate? b) how many students from the class ski but do not skate? c) how many students from the class do not skate or ski? - Intersect and conjuction
Let U={1,2,3,4,5,6} A={1,3,5} B={2,4,6} C={3,6} Find the following. 1. )AUB 2. )A'UB' - 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? - Cookies/biscuits
There were a total of 200 cookies in the box. They used sugar and chocolate icing in their production. They used chocolate icing for 157 biscuits. They used sugar icing for 100 biscuits. How many of these cookies have both toppings? - Toy store
In the toy department of the store, 28 dolls were exposed. Nineteen dolls were blondes or could speak, twelve were blondes, and 14 could speak. How many blondes could speak in the toy department? How many blondes could not speak?
- Possible 4231
In class 3C, nine girls wear hairpins, and eight girls wear elastic bands on their hair. However, there are only 14 girls. Is that possible? - Water colors
The painting workshop attends ten students. Eight students painted watercolors, and nine painted with tempera colors. How many students painted watercolors and tempera at the same time? - Classroom 3
How many children are in the classroom, where 13 children are higher than Lenka and nine children lower than Lenka? - Buffet
At the school, buffet were 30 children. Twenty-one children bought sandwiches, and 15 children bought lemonade. The four children did not buy anything. How many children bought lemonade and sandwiches? - Family
A man and a woman have 7 daughters together (or - "with each other" so that step-children are excluded). Each daughter has one brother. How many members are in the immediate family?
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