Maths Quiz Questions with Answers

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

Algebraic Identities, Square Table, Cubic Table

Unit conversion Tables, Prime Numbers, Roman Numerals

Number System, Types of Decimals

Divisibility Test

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 : 2m x 5n

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 cm2

Question: 16 What is the total surface area of cylinder whose radius is 2cm and height is 5 cm.  Ans : 88 cm2

Question: 17 What is the  diagonal of cube of side 3 cm. Ans:

Question: 18 Expand the identity:-    a3 - b3 Ans : (a - b)(a2  +  b2  +  ab)

Question: 19 What is the area of circle of radius 7 cm  Ans : 154 cm2

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

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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 a3 + b3 + c3 = 3abc

Question:  2 What is the smallest no. of three digits which is divisible by  11.   Ans : 110

Question:  3 Expand the identity:-    a3 + b3                       Ans : (a + b)(a2 + b2 – 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 : 360o

Question:  6 What is measure of each interior angle of regular hexagon.  Ans : [120o] 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 = 900o (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:-    a3 + b3 + c3 - 3abc   Ans : (a + b + c)(a2 + b2 + c2 – 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 : 30o

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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LEVEL - 3

Question:  1 What  is the supplement angle of  35o Ans : 145

Question:  2 In which ratio the centroid divide the median.   Ans : 2 : 1

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.  Ans : Parallelogram What is the special name of the quadrilateral whose opposite sides are equal and   diagonals are also equal.  Ans : Rectangle

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 m2 in hectare. Ans : 20 Hactare

Question:  7 How many cm are there in 1KM.    Ans : 1 Lakh

Question:  8 How many litres are there in 1m3   Ans : 1000 litre

Question:  9 What are the possible outcomes when three coins are thrown. Ans : 8

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 = 90o 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 : 180o < Reflex Angle < 360o

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 59o Ans : 31

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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 = 180o

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 cm2 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 160o. What is the measure of angle made by the same arc in the remaining part of the circle.                                Ans [80o]

Question:  13 At what temperature both Celsius scale Fahrenheit scale shows same reading.           Ans [ - 40o]

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.   Ans:

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 m2

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 m2

Question:  5 If a square is inscribed in a circle, find the ratio of area of the circle and the square.  Ans [π: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   x2 – 1 – 2a – a2     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    [ 62 =36, 63 =216, 64 = 1296 ]

Question:  20 What is the next term of the sequence: 1, 6, 11, 18,  _____  Ans 27    [22 + 2 = 6, 32 + 2 = 11,  42 + 2 = 18, 52 + 2 = 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

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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 (51999 x 21998 x 102000) (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

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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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