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Question Bank for Quiz competition for 9^{th} and 10^{th}
standard
Maths Quiz Questions with Answers. Let us answer here some of the quizzes which are based on the basic concepts and formulas of classes 7^{th} , 8^{th} , 9^{th} and 10^{th} concepts.
Mathematics Quiz Questions with Answers
LEVEL – 1 |
Question: 1 Define
fundamental theorem of arithmetic. Ans : Every composite number can be
expressed as the product of primes and this factorization is unique
irrespective of order of factors. |
Question: 2 What is the
largest prime number of two digit. Ans : 97 |
Question: 3 How many
times can you subtract 100 from 2000. Ans : Only Once |
Question: 4 Out of
following -1, 0 & 1, which are integers? Ans : All of these |
Question: 5 A person has
4 sons. If each brother has one sister, then how many children are there? Ans : 5 |
Question: 6 What is the
condition of the denominator of a terminating decimal . Ans : 2^{m }x 5^{n} |
Question: 7 What are
irrational decimals. Ans : Non-terminating and
non-recurring decimals are called rational decimals. |
Question: 8 Define
co-prime number, give any example? Ans : When HCF of two numbers is 1,
then numbers are called co-prime numbers. For Example 5, 6 |
Question: 9 What is the
value of 50 + 50/100
Ans : 50.5 |
Question: 10 Define
Rational Number. Ans : The numbers which can be put
in the form of p/q (q ≠ 0) are called rational numbers. |
Question: 11 Define prime
numbers. Ans : The numbers which have only
two factors are called prime numbers. 2 is the smallest prime number and is
the only even prime. |
Question: 12 What is the
smallest odd composite number. Ans : 9 |
Question: 13 Product of
two number is 1800 if LCM of two number is 180 then what is its H.C.F. Ans : 10 |
Question: 14 Who many
prime numbers are there in the counting from 1 to hundred Ans : 25 |
Question: 15 What is the
area of trapezium whose sum of parallel sides is 17 cm and height of
trapezium is 4 cm. Ans : 34 cm^{2} |
Question: 16 What is the
total surface area of cylinder whose radius is 2cm and height is 5 cm. Ans : 88 cm^{2} |
Question: 17 What is the diagonal of cube of side 3 cm. Ans: |
Question: 18 Expand the
identity:- a^{3 }- b^{3} Ans : (a - b)(a^{2 }+ b^{2 }+ ab) |
Question: 19 What is the
area of circle of radius 7 cm Ans : 154 cm^{2} |
Question: 20 What is the diagonal of cuboid of dimension 4 cm, 3 cm, 2 cm Ans: If a, b, c are the dimensions of cuboid then diagonal is given by |
LEVEL - 2 |
Question: 1 Using
suitable identity find the value of:- (6)^{3 }+
(5)^{3 }+ ( - 11)^{3 } Ans : -990 If a + b + c = 0, then a^{3 }+ b^{3 }+ c^{3 }= 3abc |
Question: 2 What is the
smallest no. of three digits which is divisible by 11. Ans : 110 |
Question: 3 Expand the
identity:- a^{3 }+ b^{3}
Ans : (a + b)(a^{2} + b^{2} –
ab) |
Question: 4 What is the
common formula used for finding the area of square and rhombus. Ans : |
Question: 5 What is the
sum of all exterior angles of a regular hexagon (or polygon). Ans : 360^{o} |
Question: 6 What is
measure of each interior angle of regular hexagon. Ans : [120^{o}] Formula used : |
Question: 7 What we call
the point that lies on all the diameters of the circle. Ans : Centre of the circle |
Question: 8 What is the
probability of getting a spade or 10 in a deck of 52 playing cards. Ans : 16/52 Explanation: Number of spade = 13 No. of 10 other than spade = 3 P(spade or 10) = 16 / 52 |
Question: 9 What is the
sum of all interior angles of a regular heptagon (side 7) Ans : (n -
2) x 180 = 900^{o} (here n = 7) |
Question: 10 Find the
class mark of the class interval 156 – 188 Ans : 172 |
Question: 11 Find the
class size of the class interval 156 – 188 Ans : 32 |
Question: 12 How many
diagonals an octagon can have ? Ans : [20] Formula used : |
Question: 13 Expand the
identity:- a^{3 }+ b^{3 }+ c^{3 }-
3abc Ans : (a + b
+ c)(a^{2} + b^{2} + c^{2} – ab – bc -
ca) |
Question: 14 What is the
formula of finding mode of the grouped data. Ans : |
Question: 15 What is the
probability of finding at least two tails when three coins are
tossed. Ans : 4/8 or 1/ 2 |
Question: 16 What angle
is the 50 % of its complementary. Ans : 30^{o} |
Question: 17 What is the
probability of getting face card or ace card. Ans : 16/52 |
Question: 18 What is the
special name of the quadrilateral whose all sides are equal but diagonals are
not equal. Ans : Rhombus |
Question: 19 Define
Altitude of the triangles. Ans : It is the line segment from the vertex of a
tringle and is perpendicular to the opposite side. |
Question: 20 What is the
probability of getting a queen or a black card in a deck of 52 playing
cards. Ans : 28/52 |
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ðŸ‘‡
LEVEL - 3 |
Question: 1 What is the
supplement angle of 35^{o} |
Question: 2 In which ratio the
centroid divide the median. |
Question: 3 Define Pythagoras
theorem. Ans
: (Hypotenuse)^{2} = (Base)^{2} + (Perpendicular)^{2} |
Question: 4 What is the special name
of the quadrilateral whose opposite sides are equal but diagonals are not
equal. What is the special name of the quadrilateral whose opposite sides are equal and diagonals are also equal. |
Question: 5 What is the special name of the quadrilateral whose all sides are equal and but diagonals are not equal. Ans: Rhombus What is the special name of the quadrilateral whose all sides are equal and diagonals are also equal. Ans Square |
Question: 6: Convert 2,00,000 m^{2} in hectare. Ans : 20 Hactare |
Question: 7 How many cm are there in
1KM. |
Question: 8 How many litres are
there in 1m^{3 } |
Question: 9 What are the possible
outcomes when three coins are thrown. |
Question: 10 How many congruency conditions are there and what are these. Ans : 5 conditions (SSS, SAS, ASA, AAS, RHS) |
Question: 11 What is the measure of the angle in the semi circle. Ans : Right angle |
Question: 12 What is the special name of the quadrilateral whose all sides are equal and diagonals are also equal. Ans : Square |
Question: 13 What is the difference
between square and rhombus. Ans : All
angles of a square are = 90^{o} but
not in rhombus. Diagonals of a rhombus are equal but not in rhombus. |
Question: 14 What is the Formula of finding the compound interest. Ans : |
Question: 15 What is the empirical formula relating mean, mode median Ans : mode = 3median - 2mean |
Question: 16 Define reflex angle. Ans : 180^{o} < Reflex Angle < 360^{o} |
Question: 17 Side of an equilateral triangle is 18cm. what is its area. Ans : |
Question: 18 Side of square is 35cm. What is its area. Ans : 1225 |
Question: 19 What is 539 x 1001 Ans : 539539 |
Question: 20 What is the complementary angle of 59^{o} |
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LEVEL - 4 |
Question: 1 How many faces are there in triangular prism Ans : 5 |
Question: 2 How many faces are there in square pyramid Ans : 5 |
Question: 3 What is the sum of n terms from the end of the AP sequence. Ans: where l is the last term |
Question: 4 What is the volume of hemi- sphere of radius
7cm. Ans : Formula used : |
Question: 5 What is the difference between a Rational number and a Fractional
Number Ans : Rational number is the ratio of two integers with
denominator 0 Fraction is the ratio of two natural numbers. In other words Positive rational numbers are called Fractions, |
Question: 6 What are rational decimal. Ans : Terminating or non terminating but repeating decimals are
called rational decimals. |
Question: 7 How we find the median from the graph of frequency ogive. Ans : Value on the x-axis corresponding to the value n/2 on the
y-axis |
Question: 8 Define median. Ans : The line segment which join the vertex of the triangle with
the mid-point of the opposite side is called median |
Question: 9 Define centroid of the triangle. Ans : Point of concurrence of medians of triangle is called
centroid of triangle |
Question: 10 What is the angle made by minute hand in 30
minutes. Ans : 30 x 6 = 180^{o} |
Question: 11 What is the area of quadrant. Ans : |
Question: 12 What is the perimeter of semi-circle
Ans : |
Question: 13 Area of sector of the circle.
Ans : |
Question: 14 Area of the segment of the circle.
Ans : |
Question: 15 Angle made by hour hand in one minute . Ans : |
Question: 16 Area of regular hexagon
Ans : |
Question: 17 Three points are collinear if Ans : Area of triangle = 0 |
Question: 18 What is the value of Ans: |
Question: 19 When three coins are tossed then what is the P(At least one
head) Ans : 7/8 |
Question: 20 What is the class size of the interval 31.5 –
55.5 Ans : 24 |
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LEVEL - 5 |
Question: 1 What is the formula of finding the mean by step deviation method. Ans: |
Question: 2 What is the formula of finding mode. Ans: |
Question: 3 Less than type and more than type ogive meet each other at (22, 48). What is the median of the data. Ans [22] |
Question: 4 Area of triangle is 625 cm^{2} and its perimeter is 20cm. Find the radius of the in-circle. Ans [62.5 cm] Formula used is given below |
Question: 5 What is the probability of finding 53 Monday in a leap year. Ans [2/7] |
Question: 6 What is the probability of finding 53 Friday in a non-leap year. Ans [1/7] |
Question: 7 What is the probability of finding a doublet in two tosses of a coin. Ans [6/36] |
Question: 8 How many tangents a circle can have. Ans [Infinitely many] |
Question: 9 How may parallel tangents a circle can have. Ans [Two] |
Question: 10 What is the maximum number of quadrants through a line can pass. Ans [3] |
Question: 11 How many circles can be drawn passing through three non – collinear points. Ans [only one] |
Question: 12 Angle made by an arc at the centre of the circle is 160^{o}. What is the measure of angle made by the same arc in the remaining part of the circle. Ans [80^{o}] |
Question: 13 At what temperature both Celsius scale Fahrenheit scale shows same reading. Ans [ - 40^{o}] |
Question: 14 If the graph of two lines intersect each other then what is the number of solutions. Ans [Unique solution] |
Question: 15 What is the quadratic formula of solving the quadratic equation. Ans: |
Question: 16 Formula of finding the nth term from the end of the AP sequence. Ans: |
Question: 17 Formula of finding the coordinates of a point by using section formula . Ans: |
Question: 18 Formula of finding the sum last n terms of an AP. Ans: |
Question: 19 Formula of finding the centroid of the triangle. |
Question: 20 If selling price of 5 pens is equal to the cost price of 4 pens, then what is the gain or loss % |
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LEVEL - 6 |
Question: 1 The perimeter of a
sector of a circle of radius 5.7 m is 27.2 m. Find the area of the sector. Ans 45.03 m^{2} |
Question: 2 A car covers a distance of 200 km in
2h 40 minutes. Whereas a jeep covers the same distance in 2 hours. What is
the ratio of their speed ? |
Question: 3 Twenty women can do a
work in 16 days and 16 men can complete the same work in 15 days. What is the
ratio between the capacity of a man and a woman? Ans 4 : 3 |
Question: 4 A man walking at the
rate of 3km/h crosses a square field diagonally in two minutes. What is the
area of the square field ? Ans 5000 m^{2} |
Question: 5 If a square is inscribed in a circle, find the ratio of area of the circle and the square. Ans [Ï€:2 or 11:7] |
Question: 6 If the radius of a circle
is diminished by 10 % then what is the decrease in the area? Ans 19 % |
Question: 7 Count the number
rectangles Ans 10 rectangles |
Question: 8 Count the number of
circles Ans 12 Circles |
Question: 9 Count the number of
squares. Ans 14 Squares |
Question: 10 Count the number of
circles. Ans : 7 Circles |
Question: 11 How many
hectometers are there in 5 decimetre? Ans 0.005 |
Question: 12 How many centigrams are
there in 0.02 decagrams? Ans 20 centigrams |
Question: 13 How many hectoliters are
there in 3 centilitres? Ans 0.0003 hectolitres |
Question: 14 How many milligrams are
there in 15 decagrams ? Ans
150000 milligrams |
Question: 15 In the following equation find the value of a. Ans -4 |
Question: 16 If , then find Ans: 5 |
Question: 17 Find the factors
of x^{2} – 1 – 2a – a^{2} Ans (x + a + 1)(x – a -
1) |
Question: 18 What is the length of
the rectangular park of area 800 m sq., whose length is twice its
breadth? Ans 40 |
Question: 19 What is the next term of
the sequence: 3, 6, 9, 36, 27, 216, 81, ____ Ans 1296 [ 6^{2} =36, 6^{3} =216, 6^{4} = 1296 ] |
Question: 20 What is the next term of
the sequence: 1, 6, 11, 18, _____ Ans 27 [ |
Question: 21 What is the next term of
the sequence: 8, 9, 17, 26, 43, _____ Ans 69 [ 8 + 9 = 17, 9 +17 = 26, 17 + 26 = 43, 26 + 43 = 69 |
Question: 22 Write the term in the
blank space of : 4, 9, 19, 34, 54, ____,
109 Ans 79 [ 9-4=5, 19-9=10, 34-19=15, 54-34=20, ⇒ 54+25 = 79 |
LEVEL – 7 |
Question: 1 How many times do the hands of a clock coincide in a day? Ans: 22 |
Question: 2 If Sanjeev starts from his
home and moves 400m North, then he is 300m away from his shop. If he starts
from his home and moves 300m east, then he is 400m away from his shop. How far
is his house from his shop? Ans: 500 m |
Question: 3 A monkey climbs 30 feet at the beginning of each hour and rest for a while when he slips back 20 feet before he again starts climbing in the beginning of the next hour. If he begins his ascent at 8am, at what time will he first touch the flag at 120 feet from the ground. Ans: 6 pm |
Question: 4 The train for Patna leaves every two and a half hours from New Delhi railway station. An announcement was made at the station that the train for Patna had left 40 minutes ago, and the next train will leave at 18:00 hours. At what time was the announcement made. Ans: 4:10 pm |
Question: 5: 2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days. Compare the work done by a man with that of a boy. (a) 3:1 (b) 5:2 (c) 7:2 (d) 3:2 Ans: 7:2 |
Question: 6: If x(x + y + z) = 9, y(x + y + z) = 16, z(x + y + z) = 144, then find x. a) 9/5 (b) 9/7 c) 9/13 (d) 16/13 Ans: 9/13 |
Question: 7: If Rs. 1540 is divided amongst A, B, C in such a way that the share of B is equal to 3/11 of what A and C together recieve. Find the share of B. (a) Rs. 330 (b) Rs. 310 (c)Rs 297 (d) Rs. 440 Ans: Rs 330 |
Question: 8 The number 40500 is said to end in two zeroes. How many zeroS are in the end of (5^{1999} x 2^{1998} x 10^{2000}) (a) 1999 (b) 2000 (c)3998 (d) 3999 Ans: 3998 |
Question: 9 Count the number of cubes in Ans: 68 Cubes |
Question: 10 Count the number of cubes in Ans: 89 Cubes |
Question: 11 Count the number of cubes in Ans: 30 Cubes |
Question: 12 Count the number of cubes in Ans: 40 Cubes |
Question: 13 |
Question: 14 |
Question: 15 |
Question: 16 |
Question: 17 |
Question: 18 |
Question: 19 |
Question: 20 |
Quadrilateral formed by joining the mid points of the sides of quadrilateral is called a parallelogram. |
Quadrilateral formed by joining the mid points of the sides of a Parallelogram is called a Parallelogram. |
Quadrilateral formed by joining the mid points of the sides of Rectangle is called a Rhombus. |
Quadrilateral formed by joining the mid points of the sides of Rhombus is called a Rectangle. |
Quadrilateral formed by joining the mid points of the sides of Square is called a Square. |
Quadrilateral formed by
joining the angle bisectors of opposite vertices of a parallelogram is called
a Rectangle. |
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