THE PLAY SCHOOL
Second Term (2022-23)
Name: ____________
Date: ___________
Class: VI
Total Marks
Obtained Marks
Sessional
10
Written
90
100
Section-A (10 Marks)
Q1: Attempt nine question. Question no. 1 is compulsory
(____/10)
1. A ___________________ is a whole number that has more than 2 different factors
a)
b)
c)
d)
Prime numbers
Composite prime numbers
Odd numbers
Even numbers
2. 5x+y-4z-3, In this expression coefficient of x, y and z are
a)
b)
c)
d)
-4,1,5
5,1, -4
1, -4,5
5, -4,1
3. 2x+3=9, the value of x= ___________
a)
b)
c)
d)
2
1
3
4
4. Set B = {1,3,5,7,9,11……….471} is a ______________ set.
a)
b)
c)
d)
Infinite
Finite
Equivalent
Non-Equivalent
5. The standard unit of measuring angles is the _____________
a)
b)
c)
d)
Degree ( o )
Centimeter(cm)
Gram(g)
Meter(m)
6. The descriptive form of set A = {1, 2, 3, 4, 5} is _____________________________
a) Set of odd numbers
b) Set of first five positive integers
c) Set of first five negative integers
d) Set of integers greater than -5 and less than 5
7. The angle between 180o and 360o is called ________________ angle.
a)
b)
c)
d)
Abtuse angle
Right angle
Actue angle
Reflex angle
8. The sum of adjacent angle on a straight line is ________________
a) 90
b) 180
c) 360
d) 45
9. The HCF of 12 and 30 is_____________
a)
b)
c)
d)
9
3
4
6
10. The LCM of 24 and 30 is______________
a)
b)
c)
d)
100
240
120
60
Q2: Find the following by using prime factorization.
/10
a. √1764
b.
Th number 176 and 342, written as the product of their prime factors are
176=2 4 x11 and 342= 2x3 2 x19. Hence, find the smallest whole number is divisible
by both 176 and 342.
Q3: a) Simplify the following
i.
6xy+13x-2yx-5x
ii.
5y-2[3x -2(y-3x) ]
/10
b) Given that a= 3, b= -5 and c= 6, evaluate each of the following expression
𝑏+𝑐 𝑎+𝑐
+
𝑎
𝑏
Q4: Express each of the following as a fraction in its simplest form.
/10
2
a) 5 [12p – (5 + 2p)]
b)
3𝑥
8
-
2𝑥+4
4
Q5: Solve the following
a) If k=
𝑝+2𝑞
3
/10
, find the value of p when k=7 and q=9.
3
5
b) If y= x + 26, find the value of y when x=12.
Q6: Solve each of the following equations
a)
b)
/10
5
1
2
𝑦 + 32 = 3𝑦 + 5
2
𝑧+2
3
=
3𝑧+2
5
Q7: x o, y o and z o are three angles lying on a straight line. /10
a) If yo = xo+ zo, find the value of y.
b) If xo = yo = zo, find value of z.
Q8: a) Write the following sets in descriptive form
A= {2,3,5,7,11…….}
B= {1,2,4,8}
C={ ……….-4,-3,-2,-1,0,1,2,3,4……}
/10
b) Write the following in tabular form.
D=Set of multiples of 8
E= Set of factors of 24
Q9: Find the value of unknown figures
o
4d + 16
o
/10
2do + 14o
Q10: a) Find
/10
A∩B and B∩A
A Ṷ B and BṶ A
when A = {2, 4, 6……, 20} and B = {1,2,3,4 ……., 30}
And also check whether A∩B = B∩A and AṶB = BṶA
b) Find A∩B and AṶB, where
A= {5,10,15,20, 25….,100}
B= {10, 20, 30 40, 50, 60, 70 ,80}
Q11: Solve the following questions
a) 2y – 7 = 7y – 27
b)
12
𝑦−1
=
2
3
/10