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KERALA SAMAJAM MODEL SCHOOL Mathematics Worksheet I - 2017 – 18 Date of submission: 17th April, 2017 Class: VII Q.1 Represent the following sets using the Roster method: a. The set of whole numbers between 20 and 25. b. The set of letters in the word MATHEMATICS c. { x : x is divisible by 5 and 6 and x ≤ 30 } d. { x : x = 2n – 1, n ∈ N and n ≤ 7 } Q.2 Represent the following sets using the set builder method: a. { a,e,i,o,u} b. { 9,18,27,…….,99 } c. { 4, 9, 16,25,36} d. {-9, -6, -3, 0,3, 6, 9 } Q.3 Identify finite, infinite, empty and the singleton sets among the following: a. Set of odd numbers divisible by 2 b. Set of even prime numbers c. { x: x is right angle in an acute angled triangle} d. The set of positive integers greater than 100 e. { x:x is an obtuse angle in a scalene triangle} f. The set of letters in the English alphabet Q.4a Write all the proper sub sets of the following set A = {r,s,v} Q.4b Also find the number of sub sets of set A. Q.5. Which of the following pairs of sets are equivalent / equal a. C={ x,y,z} b. G={x:x is a multiple of 10} c. D={1,2,3} d. H={10,15,20,25,20) Q.6. U = {x:x ∈ to W and x ≤ 10} A={0,1,3,5} B = {y:y ∈ to N and 2≤ y ≤ 7 } Find the following: a. A' b. B' c. AUB d. A∩B e. A'∩B' f. n (AUB)' Q.7. Find the simple interest on ₹ 4000 at 7.5% per annum for 3 years 3 months. Also find the amount Q.8. Find the rate of interest when ₹ 800/- fetches ₹ 130/- as SI in 2 years 6 months Q.9. How long will it take for ₹ 5660/- invested at 10% per annum SI to amount to ₹ 7641/- Q.10. What some of money will yield ₹ 170.10 as SI in 2 years 3 months at 6% per annum 1|Page www.ksms.ac.in/maths KERALA SAMAJAM MODEL SCHOOL Mathematics Worksheet I - 2017 – 18 Class: VII Date of submission: 17th April, 2017 HOTS a. Represent the following sets using the set builder method i) { 1,-1} ii) {1/3, 1/5, 1/7 ……..1/15} b. How long will it take for a certain sum of money to triple itself at 13 1/3 % per annum SI. 2|Page www.ksms.ac.in/maths