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WorksheetsMATHS 1
Total questions: 60
Worksheet time: 2hrs 31mins
The decimal expansion of number has:
a terminating decimal
non-terminating but repeating
non-terminating non repeating
terminating after two places of decimal
The values of x and y in the given figure are:
x = 10; y = 14
x = 21; y = 84
x = 21; y = 25
x = 10; y = 40
For any positive integer a and 3, there exist unique integers q and r such that a = 3q + r, where r must satisfy :
0 ≤ r < 3
1 < r < 3
0 < r < 3
0 < r ≤ 3
the length, breadth, height of a room are 8cm 25cm, 6m75cm, and 4m50cm resp. Determine the longest rod which can measure the 3D of the room exactly
65
96
75
none of the above
HCF of 8, 9, 25 is
8
9
25
none of these
The product of a rational and irrational number is
rational
irrational
both of above
none of above
If b = 3, then any integer can be expressed as a =
3q, 3q+ 1, 3q + 2
3q
none of the above
3q+ 1
The product of three consecutive positive integers is divisible by
4
6
no common factor
only 1
The set A = {0,1, 2, 3, 4, …} represents the set of
whole numbers
integers
natural numbers
even numbers
Which number is divisible by 11?
1516
1452
1011
1121
The largest number that will divide 398,436 and 542 leaving remainders 7,11 and 15 respectively is
17
11
34
45
There are 312, 260 and 156 students in class X, XI and XII respectively. Buses are to be hired to take these students to a picnic. Find the maximum number of students who can sit in a bus if each bus takes equal number of students
52
56
48
63
There is a circular path around a sports field. Priya takes 18 minutes to drive one round of the field. Harish takes 12 minutes. Suppose they both start at the same point and at the same time and go in the same direction. After how many minutes will they meet ?
36 minutes
18 minutes
6 minutes
They will not meet
Express 98 as a product of its primes
2² × 7
2² × 7²
2 × 7²
23 × 7
find the values of a and b so that x4+x3+8x2+ax+b is divisible by x2+1
a=1 , b=7
a=5 , b=6
a=3 , b=4
none of these
For some integer p, every odd integer is of the form
2p + 1
2p
p + 1
p
The product of a non-zero rational and an irrational number is
always rational
rational or irrational
always irrational
zero
The largest number which divides 60 and 75, leaving remainders 8 and 10 respectively, is
260
75
65
13
The least number that is divisible by all the numbers from 1 to 5 (both inclusive) is
5
60
20
100
The least number that is divisible by all the numbers from 1 to 8 (both inclusive) is
840
2520
8
420
When a number is divided by 7, its remainder is always:
greater than 7
at least 7
less than 7
at most 7
. If LCM (77, 99) = 693, then HCF (77, 99) is
11
7
9
22
Find the greatest number of 5 digits, that will give us remainder of 5 when divided by 8 and 9 respectively.
99921
99931
99941
99951
If two positive integers a and b are written as a = x’y1 and b = xyi, where x, y are prime numbers, then HCF(a, b) is
Also, find LCM of (a, b)
xy
xy²
x3y3
x²y²
The ratio between the LCM and HCF of 5, 15, 20 is:
9 : 1
4:3
11:1
12:1
Two alarm clocks ring their alarms at regular intervals of 50 seconds and 48 seconds. If they first beep together at 12 noon, at what time will they beep again for the first time ?
12.20 pm
12.12 pm
12.11pm
none of these
. If A = 2n + 13, B = n + 7, where n is a
natural number, then HCF of A and B is:
2
1
3
4
There are 576 boys and 448 girls in a school that are to be divided into equal sections of either boys or girls alone. The total number of sections thus formed are:
22
16
36
21
The HCF of 2472, 1284 and a third number N is 12. If their LCM is 23 x 32 x 5 x 103 x 107, then the number N is :
22 x 32 x 7
22 x 33 x 103
22 x 32 x 5
24 x 32 x ll
Two natural numbers whose difference is 66 and the least common multiple is 360, are:
120 and 54
90 and 24
180 and 114
130 and 64
If the HCF of 55 and 99 is expressible in the form 55m – 99, then the value of m is _______.
1
2
3
4
The number of polynomials having zeroes as -2 and 5 is
1
2
3
more than 3
If the zeroes of the quadratic polynomial ax² + bx + c, c # 0 are equal, then
c and a have opposite signs
c and b have opposite signs
c and a have the same sign
c and b have the same sign
The number of polynomials having zeroes as 4 and 7 is
2
3
4
more than 4
The largest number that will divide 398,436 and 542 leaving remainders 7,11 and 15 respectively is
17
11
34
45
If x5 + 2x4 + x + 6 is divided by g(x) and quotient is x² + 5x + 7, then the possible degree of remainder is:
less than 1
less than 2
less than 3
less than 4
Which of the following is not the graph of a quadratic polynomial?
a
b
c
d
a
b
c
d
Consider the following statements
(i) x – 2 is a factor of x3 – 3x² + 4x – 4.
(ii) x + 1 is a factor of 2x3 + 4x + 6.
(iii) x – 1 is a factor of x5 + x4 – x3 + x² -x + 1.
In these statements
1 and 2 are correct
1, 2 and 3 are correct
2 and 3 are correct
1 and 3 are correct
If one zero of the quadratic polynomial x² + 3x + b is 2, then the value of b is
10
-8
9
-10
a
b
c
d
a
b
c
d
a
b
c
d
What is the least number that must be added to 1056 so the number is divisible by 23?
0
3
2
1
The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number?
360
295
270
240
a and b, when divided by 7 and 6 respectively, leave remainders p and q respectively. What is the maximum value of p + q?
5
6
12
11
Which one of the following can’t be the square of a natural number?
42437
20164
81225
32761
If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x + y =?
4 or 8
6
4
8
Write down the decimal expansions of : 13/ 6250
0.0208
0.00208
0.00512
0.00416
Decide whether 52.123456789 is a rational number or not. If rational (in the form p/q), what can you say about the prime factors of q?
Rational Number, Prime factor of q will be only 2.
Rational Number, Prime factor of q will have a factor other than 2 or 5.
Not rational number
Rational Number, Prime factors of q will have either 2 or 5 or both
Find the HCF of 1848, 3058 and 1331
9
14
13
11
An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march?
8
7
6
5
If p (x) is a polynomial in x, the highest power of x in p(x) is called the ——-of the polynomial.
Value
Degree
Power
The zero of the polynomial 4x – 3 is ———–
¾
4/3
1
Graph of a quadratic polynomial is a ———
Straight line
Parabola
Circle
a
b
c
d
The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is
65
13
875
1750
On a morning walk, three persons step off together and their steps measure 40 cm, 42 cm and 45 cm, respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps?
2525cm
2520cm
2555cm
2528cm
Zeroes of a polynomial can be expressed graphically. Number of zeroes of polynomial is equal to number of points where the graph of polynomial is:
Intersects x-axis
Intersects y-axis
Intersects y-axis or x-axis
None of the above
If p(x) is a polynomial of degree one and p(a) = 0, then a is said to be:
Zero of p(x)
Value of p(x)
Constant of p(x)
None of the above
