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WorksheetsNCERT Class 10 Mathematics Quiz
Total questions: 45
Worksheet time: 26mins
If the HCF of two positive integers p and q is 6, and their LCM is 60, then what is the value of p × q?
360
120
180
100
What type of number √2 is ?
Rational
Irrational
Integer
Natural
The product of HCF and LCM of two numbers is equal to:
The larger number
The smaller number
The product of the two numbers
None of these
The degree of the polynomial
4x³ + 3x² - 5x +3 is:
1
2
3
4
If α and β are the zeroes of the quadratic polynomial x²-5x+6 , then α + β = ?
5
6
-5
-6
The number of zeroes of the polynomial x²-5x+6 is:
1
2
3
4
The pair of equations 2x + 3y = 6 and 4x + 6y= 12 has:
No solution
Unique solution
Infinitely many solutions
Cannot be determined
Which method is not used to solve a pair of linear equations?
Substitution
Cross-multiplication
Bisection
Elimination
If the pair of equations is consistent, then the lines will:
Intersect at one point
Never intersect
Coincide
Either (a) or (c)
The roots of the equation x²-4x+3 are:
1, 3
-1, -3
-1, 3
1, -3
A quadratic equation has equal roots if:
Discriminant = 0
Discriminant > 0
Discriminant < 0
None of these
The quadratic equation x²+6x+9=0 has:
Two distinct real roots
Two equal real roots
Two imaginary roots
No roots
In the AP 5, 8, 11, ..., the common difference is:
2
3
4
5
What is the 10th term of the AP 2, 4, 6, ...?
18
20
22
24
The sum of the first 20 terms of the AP 1 + 2 + 3 + ... is:
200
210
220
230
In similar triangles, the ratio of the areas is equal to the square of the:
Corresponding altitudes
Corresponding medians
Corresponding sides
Corresponding angles
Which of the following is NOT a criterion for triangle similarity?
AAA
SSS
SAS
SSA
If ∆ABC ∼ ∆DEF and AB = 2 cm, DE = 4 cm, then area(∆ABC) / area(∆DEF) = ?
1:2
1:4
2:1
4:1
The distance between the points (3, 4) and (0, 0) is:
3
4
5
6
The coordinates of the midpoint of the line joining (2, -3) and (4, 1) are:
(3, -1)
(2, 1)
(1, 2)
(-1, 3)
The distance between the points (x, y) and (x, -y) is:
0
2x
2y
2|y|
If sin θ = 3/5, then cos θ = ?
4/5
3/5
5/4
5/3
The value of tan 45° is:
0
1
√3
2
Which of the following identities is correct?
sin²θ + cos²θ = 1
tan²θ + 1 = sec θ
1 + cot²θ = cosec θ
None of these
The height of a tower is 20 m. The length of its shadow is also 20 m. What is the angle of elevation of the sun?
30°
45°
60°
90°
If the angle of elevation of the top of a building from a point on the ground is 60°, which trigonometric ratio is used to find the height of the building?
sin
cos
tan
sec
If tan θ = 1, then θ = ?
0°
30°
45°
90°
The angle subtended by a diameter at the circumference of a circle is:
30°
60°
90°
180°
The tangent to a circle is always:
Parallel to radius
Perpendicular to radius
Equal to radius
None of these
How many tangents can be drawn from an external point to a circle?
0
1
2
Infinite
To divide a line segment AB in the ratio 3:2, how many equal parts are drawn?
5
3
2
6
The area of a circle is given by:
2πr
πr²
πd
πr
If the radius of a circle is doubled, its area becomes:
Twice
Four times
Same
Half
The perimeter of a semicircle of radius r is:
πr
πr + 2r
πr + r
πr/2
If the radius and height of a cone are both doubled, its volume becomes:
Doubled
Tripled
8 times
4 times
Which solid has only one vertex?
Sphere
Cone
Cylinder
Cube
The mean of first 5 natural numbers is:
2
3
4
5
In a data set, the value which occurs most frequently is called:
Mean
Median
Mode
Range
The probability of getting head when a coin is tossed once is:
0
1
1/2
2
The probability of an impossible event is:
0
1
0.5
-1
The probability of a certain event is:
0
0.5
1
Varies
A die is thrown once. The probability of getting a number greater than 4 is:
1/6
2/6
3/6
4/6
The probability of getting an even number on a die is:
1/2
1/3
2/3
5/6
If two coins are tossed together, then the probability of getting exactly one head is:
1/4
1/2
3/4
1
If the probability of winning a game is 0.3, then the probability of losing is:
0.3
0.7
1.3
0.5
