Math topic中文

Venn diagrams

Practice questions

1On the Venn diagram, shade the region that represents $A' \cup B$ . Use set notation to describe the shaded region.
2It is given that $\xi = \{x: x \text{ is polygon}\},$ $p = \{x: x \text{ is a parallelogram}\},$ $q = \{x: x \text{ is a quadrilateral}\},$ …
3 $\xi = \{\text{integers } x: 2 < x \le 12\}$ $A = \{\text{prime numbers}\}$ $B = \{\text{factors of 12}\}$ $C = \{\text{greater than } \sqrt{100}\}$ …
4On the Venn Diagram shown in the answer space, shade the set $A \cap B'$ . $ε = {x: x \text{ is an integer and } 1 \le x \le 100}$ …
5三年级（2）班有56名学生，这个月进行了两次数学测试：第一次得100分的学生的学号是6，9，15，16，27，33，56；第二次得100分的学生的学号是：7，9，16，27，36，40，48，51，53。 1．第一次得100分的有( )人。…
6 $\varepsilon = \{\text{integer } x : 0 < x \le 12\}$ $A = \{\text{prime numbers}\}$ $B = \{\text{numbers that have at least 2 distinct factors}\}$ …
7In the Venn diagram below, shade the region $A' \cap B$ . Place the five numbers in their correct positions in the Venn d…
8 $\xi = \{\text{integers } x : 0 < x < 15\}$ $A = \{\text{factors of 15}\}$ $B = \{\text{perfect squares}\}$ Draw a Venn…
9Factorise $5xy-20y$ . Answer ... Use set notation to describe the shaded region. Answer ... On the Venn diagram, shade th…
10 $\xi = \{\text{integers } x: 1 \le x \le 16\}$ $V = \{1, 2, 4, 8, 16\}$ $W = \{1, 4, 7, 9, 10, 14\}$ Some of the informa…
11On the Venn diagram, shade the region which represents $Q \cup P^{\prime}$ . Let $\xi = \{\text{integers } x : 1 \le x \le 9\}$ …
12There are 30 members in a community club. All the members take up at least one activity, either aqua aerobics or pickleb…
13In a particular month, 21 people took a driving test. One of the 21 people is selected at random. The probability that i…
14The sets P and Q consists of the points whose coordinates (x, y) are given by P = {(x, y) : y = 2x + 3} and Q = {(0, 0),…
15 $\xi = \{x : x \text{ is an integer and } 1 \le x \le 10\}$ $A = \{x : x \text{ is a factor of } 20\}$ $B = \{x : x \text{ is a perfect square}\}$ …
16 $\xi = \{\text{integers } x: 1 \le x \le 12\}$ $A = \{\text{integers } x: 1-2x > -9\}$ $B = \{\text{prime numbers}\}$ Li…
17一个50人的班级中，40人学数学，32人学物理，每人至少学一科。用韦恩图求两科都学的人数，并求随机选一人恰好学两科的概率。
18 $\xi = \{x : x \text{ is an integer},\; 4 \le x \le 16\}$ $A = \{4, 9, 16\}$ $B = \{4, 6, 7, 8, 9, 10, 16\}$ Draw a Venn…
19ξ = {integer $x$ : $0 < x \le 20$ } $P = \{\text{perfect square}\}$ $Q = \{\text{even number which solves }3x>11\}$ $R = \{\text{multiple of 4}\} List all the elements in P. Find n($ …
20四年级(1)班有 $52$ 人，参加美术小组的有 $14$ 人，参加音乐小组的有 $28$ 人，有 $8$ 人两个小组都参加了，这个班两个小组都没参加的有多少人？
21On the Venn diagram, shade the region which represents A' ∩ B. Answer Using the Venn diagram above, draw the set C such…
22 $\xi = \{x:\text{ x is an integer and } 1 \le x \le 10\}$ $A = \{x:\text{ x is a factor of 20}\}$ $B = \{x:\text{ x is a perfect square}\}$ …
23 $\xi = \{x : x \text{ is an integer and } -3 \le x < 7\}$ $P = \{x : -3 < x < 3\}$ $Q = \{x : 0 < x \le 3\}$ Draw a Venn…
24Use the Venn diagram to answer the following. List all the elements in the set $(A \cup B) \cap B'$ . Answer {...} Fill i…
25On the Venn diagram, shade the region which represents $(A \cup B') \cap (A' \cup B)$ . $E = \{(x,y): x + y \le 10\}$ $A = \{(0,1), (1,2), (1,4), (1,5)\}$ …
26W = {0, {0}}. Find n(W). List all possible subsets of W. Write down the set represented by the following shaded region.