Part A: Write their roaster form
Q1). Write A = {x | x is an even number less than 10}.
Q2). Write B = {x | x is a vowel in English alphabet}.
Q3). Write C = {x | x is a natural number less than 6}.
Q4). Write D = {x | x² ≤ 25, x ∈ N}.
Q5). Write E = {x | x is a prime number less than 15}.
Q6). Write F = {x | x is a multiple of 3, x ≤ 15}.
Q7). Write G = {x | x is a day of the weekend}.
Q8). Write H = {x | x is a consonant in the word “math”}.
Q9). Write I = {x | x is a month with 30 days}.
Q10). Write J = {x | x ≤ 0, x ∈ Z}.
Q11). Write K = {x | x is an odd number less than 10}.
Q12). Write L = {x | x is a factor of 12}.
Q13). Write M = {x | x is a natural number, x² < 20}.
Q14). Write N = {x | x is a letter in the word “set”}.
Q15). Write O = {x | x is a day of the week starting with T}.
Q16). Write P = {x | x is a prime number less than 10}.
Q17). Write Q = {x | x is a perfect square ≤ 25}.
Q18). Write R = {x | x is a letter in the word “function”}.
Q19). Write S = {x | x is a multiple of 5, x ≤ 30}.
Q20). Write T = {x | x is a planet in the solar system}.
Part B: Write Roster Form
Q1). Write the set of first 6 prime numbers in roster form.
Q2). Write the set of all two-digit multiples of 7 less than 50 in roster form.
Q3). Write the set of all vowels in the word “equation” in roster form.
Q4). Write the set of factors of 36 in roster form.
Q5). Write the set of perfect cubes not exceeding 100 in roster form.
Q6). Write the set of natural numbers less than 20 that are divisible by both 2 and 3 in roster form.
Q7). Write the set of all consonants in the word “mathematics” in roster form.
Q8). Write the set of months of the year that have 31 days in roster form.
Q9). Write the set of all negative integers greater than −6 in roster form.
Q10). Write the set of first five odd natural numbers greater than 10 in roster form.
Q11). Write the set of prime factors of 84 in roster form.
Q12). Write the set of all English alphabets that are used in the word “algebra” in roster form.
Q13). Write the set of leap years between 2000 and 2020 in roster form.
Q14). Write the set of first five multiples of 9 in roster form.
Q15). Write the set of all natural numbers less than 15 that are divisible by 5 in roster form.
Q16). Write the set of square numbers between 20 and 100 in roster form.
Q17). Write the set of all letters common to the words “computer” and “geometry” in roster form.
Q18). Write the set of all even numbers between 50 and 60 in roster form.
Q19). Write the set of prime numbers between 30 and 50 in roster form.
Q20). Write the set of weekdays (Mon–Fri) in roster form.
Part C: Write the Builder Form of these Roster Sets
Q1). {2, 3, 5, 7, 11, 13}
Q2). {14, 21, 28, 35, 42, 49}
Q3). {e, u, a, i, o}
Q4). {1,2,3,4,6,9,12,18,36}
Q5). {1,8,27,64}
Q6). {6,12,18}
Q7). {m,t,h,c,s}
Q8). {January, March, May, July, August, October, December}
Q9). {-5, -4, -3, -2, -1}
Q10). {11, 13, 15, 17, 19}
Q11). {2,3,7}
Q12). {a,l,g,e,b,r}
Q13). {2000, 2004, 2008, 2012, 2016, 2020}
Q14). {9,18,27,36,45}
Q15). {5,10}
Q16). {25,36,49,64,81}
Q17). {o,m,e,t,r}
Q18). {52,54,56,58}
Q19). {31,37,41,43,47}
Q20). {Monday, Tuesday, Wednesday, Thursday, Friday}
Answer Key — Part A (Builder Form)
Q1) {2,4,6,8}
Q2) {a,e,i,o,u}
Q3) {1,2,3,4,5}
Q4) {1,2,3,4,5}
Q5) {2,3,5,7,11,13}
Q6) {3,6,9,12,15}
Q7) {Saturday, Sunday}
Q8) {m,t,h}
Q9) {April, June, September, November}
Q10) {...,−3,−2,−1,0}
Q11) {1,3,5,7,9}
Q12) {1,2,3,4,6,12}
Q13) {1,2,3,4}
Q14) {s,e,t}
Q15) {Tuesday, Thursday}
Q16) {2,3,5,7}
Q17) {1,4,9,16,25}
Q18) {f,u,n,c,t,i,o}
Q19) {5,10,15,20,25,30}
Q20) {Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune}
Answer Key — Part B (Roster Form)
Q1) {2,3,5,7,11,13}
Q2) {14,21,28,35,42,49}
Q3) {e,u,a,i,o}
Q4) {1,2,3,4,6,9,12,18,36}
Q5) {1,8,27,64}
Q6) {6,12,18}
Q7) {m,t,h,c,s}
Q8) {January, March, May, July, August, October, December}
Q9) {−5,−4,−3,−2,−1}
Q10) {11,13,15,17,19}
Q11) {2,3,7}
Q12) {a,l,g,e,b,r}
Q13) {2000,2004,2008,2012,2016,2020}
Q14) {9,18,27,36,45}
Q15) {5,10}
Q16) {25,36,49,64,81}
Q17) {o,m,e,t,r}
Q18) {52,54,56,58}
Q19) {31,37,41,43,47}
Q20) {Monday, Tuesday, Wednesday, Thursday, Friday}
Answer Key — Part C (Roster → Builder Form)
Q1) {x | x is a prime number less than 15}
Q2) {x | x is a multiple of 7, 14 ≤ x ≤ 49}
Q3) {x | x is a vowel in “equation”}
Q4) {x | x is a factor of 36}
Q5) {x | x³ ≤ 100}
Q6) {x | x is a multiple of 6, x ≤ 18}
Q7) {x | x is a consonant in “mathematics”}
Q8) {x | x is a month with 31 days}
Q9) {x ∈ Z, −6 < x < 0}
Q10) {x | x is an odd number, 10 < x < 20}
Q11) {x | x is a prime factor of 84}
Q12) {x | x is a letter in “algebra”}
Q13) {x | x is a leap year, 2000 ≤ x ≤ 2020}
Q14) {x | x is a multiple of 9, x ≤ 45}
Q15) {x | x is a multiple of 5, x < 15}
Q16) {x | x is a perfect square, 20 < x < 100}
Q17) {x | x is a letter common to “computer” and “geometry”}
Q18) {x | 50 < x < 60, x is even}
Q19) {x | x is a prime, 30 < x < 50}
Q20) {x | x is a weekday, Mon–Fri}
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