Hello Dear Students! Hope everything is fantastic! Here on this page we (Net Ex.) has arranged a set of questions on ‘Number and Numeric System’ for the students of Navodaya Vidyalaya Entrance Exam (JNVST) 2024. The prescribed questions on Number and Numeric System will very important for this year 2024.
Number and Numeric System Class 6 Navodaya Vidyalaya 2024:
Full Mark: 100 Time: 3 hours
(1) Write three integers smaller than 1. (1 × 1 = 1)
(2) Write four integers greater than -3. (1 × 1 = 1)
(3) Which is greater, –111 or -125? (1 × 1 = 1)
(4) Which is smaller, -9 or -200? (1 × 1 = 1)
(5) Write the integer whose numerical value is 0. (1 × 1 = 1)
(6) Write all composite numbers less than 30. (1 × 1 = 1)
(7) Write five consecutive composite numbers just below 100. (1 × 1 = 1)
(8) Write all prime numbers less than 35. (1 × 1 = 1)
(9) List all numbers less than 40 which are multiples of 3 and 4. (1 × 1 = 1)
(10) What is the absolute value of -8? (1 × 1 = 1)
(11) Write the integer whose numerical value is 0. (1 × 1 = 1)
(12) Draw the number line and mark the following numbers. (5 × 1 = 5)
(i) -5 to +2
(ii) 0 to + 6
(iii) -3 to +1
(iv) -3 to +3
(v) -3 to +2
(13) Write the integers between:(5 × 1 = 5)
(i) 1 and 8
(ii) -2 and 5
(iii) -6 and -1
(iv) -3 and 4
(v) -10 and 1
(14) Arrange the given integers in ascending and descending order.(5 × 1 = 5)
(i) -1, -2, 1, 2, 3
(ii) 4, 2, -1, -2
(iii) -4, 1, -2, 0
(iv) 1, -3, -4, 0
(v) -2, -3, 3, 2
(15) Find the sum of the following. (10 × 1 = 10)
(i) (+6) + (+3)
(ii) (+7) + (+6)
(iii) (-2) + (-4)
(iv) (-3) + (-9)
(v) (+10) + (-5)
(vi) (-7) + (+12)
(vii) (-13) + (+7)
(viii) (+10) + (-18)
(ix) (+45) + (-25)
(x) (-21) + (+33)
(16) Solve the following. (5 × 1 = 5)
(i) (+25) + [(+25) + (+50)]
(ii) [(+3) + (+5)] + (-1)
(iii) [(+2) + (+3)] + (+4)
(iv) (-18) + [(25) + (-30)]
(v) [(-1) + (-1)] + (-5)
(17) Find the additive and multiplicative inverse of the following numbers.(5 × 1 = 5)
(i) -16
(ii) 1/3
(iii) 11/37
(iv) -3/2
(v) 1
(18) Separate the odd and even numbers. (10× 1/2 = 5)
(i) 33
(ii) 343
(iii) 1112
(iv) 5008
(v) 9726
(vi) 8243
(vii) 10008
(viii) 78965
(ix) 6585
(x) 4968
(19) Find the quotient of the following. (5 × 1 = 5)
(i) (-99) ÷ (+11)
(ii) (-480) ÷ (-120)
(iii) (+2000) ÷ (-40)
(iv) (-195) ÷ (+15)
(v) (+196) ÷ (-28)
(20) Convert the numbers in word form. (5 × 1 = 5)
(i) 1,12, 22,250
(ii) 55,44,589
(iii) 66,10, 575
(iv) 19,79, 987
(v) 1,39,78, 999
(21) Prove and identify the law used in each of the following. (5 × 1 = 5)
(i) 100 × (11 + 13) = (100 × 11) + (100 × 13)
(ii) 100 + (99 + 50) = (100 + 99) + 50
(iii) 2 × (1 + 5) = (2 × 1) + (2 × 5)
(iv) 9 + (11 + 13) = (9 + 11) + 13
(v) 25 × (10 + 8) = (25 × 10) + (25 × 8)
(22) Put the correct sign > or < between the following pairs of rational numbers. (5 × 1 = 5)
(i) 1/6, -1/3
(ii) 2/5, 1/4
(iii) 10/12, 2/8
(iv) 4/2, 2/6
(v) 7/8, 9/3
(23) Write “T” for a true and “F” for a false statement. (4 × 1 = 4)
(i) Positive numbers are rational numbers.
(ii) “0” is not a rational number
(iii) Negative numbers are rational numbers.
(iv) Positive integers are always prime number.
(24) Find the smallest number that can exactly divide the numbers 108, 180 and 216. (5 × 1 = 5)
(25) Find the smallest number that is exactly divisible by 5, 15 and 25. (5 × 1 = 5)
(26) Find the greatest number that can measure exactly 27 m, 45 m and 63 m exactly. (5 × 1 = 5)
(27) Find the shortest length of a pipe that can be measured exactly with 4 m, 6 m and 9 m long measuring tapes respectively. (5 × 1 = 5)
(28) There are 416, 364 and 312 students in three classes respectively. Buses are to be hired to take these students for a school trip. Find the maximum number of students who can sit in a bus if each bus carries an equal number of students? (5 × 1 = 5)
(29) The sum of two number is 88. One integer is 66, find the other (5 × 1 = 5)