Download class x maths - Kendriya Vidyalaya Jashpur

KENDRIYA VIDYALAYA JASHPUR
(2016-2017)
KENDRIYA VIDYALAYA JASHPUR
(2016-2017)
HOLIDAY HOMEWORK
CLASS – X
SUBJECT – Mathematics
1. Calculate value of the following –
(1/17),(1/19),(1/13),(1/7),(1/3),(10/9),(3/8)
Which of the above represent terminating decimal expansion? Are they rational
numbers?
2. solve the following(a) 5X3-4÷2+3X2
(b) 16÷4X3-2X3-4
(c) 4-3X2-3X16÷12
(d) 24÷4÷6-1X3÷3+2
3. Calculate the value of the following
√(13), √(15), √(17), √(19)
4. Express the following decimal expressions in p/q form where p and q are integers
and q is not zero.
(a) 0.9999… (b) 0.3333…(c) 0.323232….(d) 0.332332332…
5. Write whether the following statements are true or false? Also give examples in your
support
(a) The sum of two rational numbers is also a rational number.
(b) Product if two irrational numbers is also an irrational number.
(c) Product of a rational number and an irrational number is a rational number.
(d) Square of an irrational number is a rational number
(e) The sum of a rational number and an irrational number is a rational number.
6. Draw 5 circles of different radii. Measure their circumferences and calculate
circumference/radius in each case.What conclusion you draw? You get rational or
irrational number? Explain.
7. Solve
(a) (X2)3/2.X.X3=?
(b) (8)1/3.2=?
(c) (3)3.4√3=?
(d) X0=?
(e) 10=?
(f) 01=?
8. Which of the following pairs of linear equations are consistent( in terms of solution)
(a) 2x + 3y=4
; 4x + 6y=6
(b) x + y = 6 ; 3x + 2y= 6
(c) -2x + y=2 ; 2x +y= 4
9. Complete following
(a) 1X8+1=9
12X8+2=98
123X8+ ? =987
1234X8+4=?
12345X?+5=98765
123456X8+?=987654
? X8+7= 9876543
12345678X8+8=?
? X8+9=?
Did you notice any pattern? Discuss.
9. If the HCF of 657 and 963 is expressible in the form of 657x+963(-15). Find x using
Euclid’s division lemma. (Hint: Ans x= 22)
10. Prove that one of every three consecutive integers is divisible by 3.
11. Find the largest possible integer which divides 398,436 and 542 leaving remainders
7,11,15 respectively.
12. Find the least number that is divisible by all the numbers 1 to 10.
13. Find the greatest number of 6 digits exactly divisible by 24,15 and 36.(Ans=999720)
14. In question number 13 find the greatest 9 digit number divisible by the three
numbers.
15. If ‘a’ and ‘b’ are positive integers.Show that √2 always lies between a/b and
(a+2b)/(a+b).
16. Prove that √(n-1) +√(n+1) is irrational for every value of n as natural number.
HOLIDAY HOMEWORK
CLASS – VII
SUBJECT – MATHS
1. Do all ‘Try These’ from page number 2 to 24.
2. Do all the questions of Exercise 1.1 , 1.2 , 1.3 & 1.4
3. Draw 10 Symmetric Figures with symmetry line.
4. Draw these Polygons with any measures: Triangle, Quadrilateral, Pentagon, Hexagon
and Octagon.Write measures of each of the internal angles of these figures.
5. Write the Roman Numerals from 101 to 200.
Project work:- On a chart paper construct these triangles(having these angles) with
compass and ruler:
600 , 900 , 1200 ,1500 , 450 , 300 , 150 , 22 ½0 , 750 , 1050 ,