MCQ OF NUMBER SYSTEM, CLASS: IX

NUMBER SYSTEM

ARCHIMEDES - FATHER OF MATHEMATICS

FILL  UPS:

1. There are _______________ rational numbers between two rational numbers.
2. If m is natural numbers & 4<m<9,  then √m  is a/an ______________ numbers.
3. Decimal expansion of irrational number are _____________   and __________
4. Non-terminating and repeating decimal expansion is a/an_______________ numbers.
5. A rational number of the form p/q, where p, q∈Z and H.C.F(p,q) is _____________
6. 55 * 52 + 5 = _________
7. Log(mn) = log __ + log __
8. Log100 = ______
9. loga = _____
10. Every ________ number is a whole number.
11. All counting number together with 0 constitute a set of  ___________ number.
12. The two rational number which are their own multiplicative inverses are  ________
13. Decimal form of irrational number are neither ______________ nor ____________
14. If a and b are two positive rational numbers, then √((a+b)/2) is __________ number.
         p/q: q≠0, then p and q are  _________________
15. The greatest amongest ∛(4,) ∜5&∜3 is _________________
16. ____________ known as the father of mathematics.
17. ____________ known as the father of modern mathematics.
18. Decimal expansion of Rational number is either ___________ or _________ & _________

TRUE OR FALSE:

1. Every whole number is natural number.
2. Multiplcative inverse of 2/3 is -2/3
3. Every natural number is a whole number
4. Every integer is a whole number
5. Some whole number is an integer
6. Every whole number is an integer
7. Every real number is a rational number
8. Every rational number is a rational number
9. Some rational number is a rational number
10. Some whole number is a natural number
11. Every irrational number is a whole number
12. Irrational and real number together form rational number
13. Natural number together with zero a whole number
14. Between every two rational number their exist infinite number
15. Between two rational number their finite irrational number
16. Terminating or non-terminating but recurring is a rational number
17. The sum of an irrational number and non-zero rational number is always an irrational numbers.
18. 2& 5 are twin prime number
19. Zero is even number
20. Square of every real number is positive number.

MULTIPLE CHOICE QUESTIONS

1. which of the following are co-prime numbers
              (a)   2, 3           (b)   2, 4          (c)   2, 8          (d)   2, 12

       2. A rational number equivalent to 5/7  is
    (a) 18/17    (b)  28/27        (c) 10/14          (d)   10/27


        3. An example of a whole number is
             (a)   0      (b)  -1/2            (c)   11/5         (d)   –7

      4. Given a rational number -5/9. This rational number can also be known as
             (a)   a natural number     (b)   positive integers      (c)   a fraction    (d)   a real number

       5. The rational number 0.3333……can also be written as
             (a)   0.3                (b)  3/10              (c)   0.33                  (d)   1/3      e) None of these

       6. If the decimal form of a number is non-terminating, non-repeating then the number is
      (a)   a natural number                             (b)   a rational number                                                               (c)   a whole number                               (d)   an irrational number          (e) none of these
 
7.  Select the following number whose square root  is rational
           (a)   7           (b)   1.96         (c)   0.04           (d)   13           e) 12.1

8. The number 1.101001000100001... is
               (a)   a natural number                              (b)   a whole number
                (c)   a rational number                              (d)   an irrational number
9. The number 1.200200200200002... is
               (a)   a natural number                              (b)   a whole number
             (c)   a rational number                             (d)   an irrational number

         10 . Decimal expansion of irrational number is
                a)  Recurring     b) Terminating        c) Terminating and recurring         d) none of these

     11. Decimal expansions of rational number is
                a) terminating                                         b) repeating
                c) non-terminating but recurring             d) all of these

     12. Unit digit of 824 is
               a) 8             b) 4              c) 0          d) 1               e) none of these

     13. which of the following has terminating decimal expansions
               a) 1/3         b) 5/6            c) 7/2           d) 2/15

      14.  The 100 root of (10)^(10)^(10)is
             a) 10^(8^10 )                    b) 10^(10^8 )          c)(√10)^((√10)^10 )        d) 10^(√10^(√10) )

      15. which of the following can be written as p/q
               a) 0.195195……    b) 0.10100……      c)  0.23452346……….    d) 0.5656566……

      16. How many irrational number between 1/3 & 1/7 is :
               a) one               b) two                c) three          d) not defined           e) none of these

      17. The product of √3& ∛5is:
                a) √(6&375)             b) √(6&575)                c)√(6&475)                d) √(6&675)

       18. Which of the following  a rationalization factor of √450
               a) √3               b) √5                        c)√2                           d) None of these

       19. Which of the following numbers does not lies between 3/5 and 4/5
              a) 2/3              b) 7/10                     c) 11/15                       d) None of these

      20. If a and b are integers with a >b. The  integers lies between a and b is
           a) a - b                 b) a – b - 1              c) a – b + 1                   d) none of these

      21. The unit digit of 22.33.44 is
           a) 4                b) 2             c) 8              d) 1         e) None of these

      22. The unit digit of 7735 is
           a) 7                       b) 9                         c) 1                              d) None of these

       23. √x√y=√(xy)  is true when
          a)  x>0,y>0            b) x>0,y<0           c)x<0,y>0         d) All of these

      24. A rational number between √3&√5 is:
           a)(√3+√5)/2                    b) (√3*√5)/2                   c) 1.5                    d) None of these

BY
ARANBIR SINGH

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TRIANGLE OBJECTIVE

           TRIANGLE - 1

ARYABHAT FATHER OF INDIAN MATHEMATICS

FILL IN THE BLANKS:
1. A triangle having all the three sides of equal length is known as .....................

2. A triangle having two sides of equal length is known as ..........................

3. A triangle having three sides of different length is known as ....................

4. A triangle whose all angles are acute angle is called ............................

5. A triangle whose one angle is obtuse angle is called ............................

6. A triangle whose one angle is right angle is called.................................

7. The sum of all interior angles of triangle is ............................

8. The sum of all exterior angles of triangles is ........................

9. Area of triangle = ....................

10. Triangle is derived from two word ................ and ..............which means ...........

       

11.      The angle opposite to equal side of a triangle are  ………………………...

12.      Sum of the angles of quadrilateral is equal to …………….  right angles .

13.      Two circles are said to be congruent if they have same ………………

14.      Sum of any two side of a triangle is always greater than the ………. third side.

15.      In right ∆ PQR and ABC, if the hypotenuse PR = AC and side PQ = AB, then  ∆ RPQ 

 ……………

16.      Two geometrical figures are congruent if they have exactly the same ……… and ………..

17.      Two triangles are congruent if and only if their corresponding …………..  and the corresponding angles are …………………

18.   If two sides and the ……………. angle of one are equal to  the corresponding sides and the ………… angle of other triangle, then two triangles are congruent

19.   A triangle is …………………. iff any two altitudes are equal.

20.  The medians of an equilateral triangle are ……………………….

21.   Median is also called …………….  in equilateral triangles

22.  Triangle is formed by joining three  ……………………………………………….. points.

23.   A point where two sides of a triangle meet is known as ………………of a triangle.

24.   Every angle of an equilateral triangle is of …………………………………………..measure.

25.   A ……………………………….. triangle has one angle of 90°.

26.   A triangle has …………………………. vertices and…………………………………………sides.

27.   In an …………….. triangle, the remaining two angles are acute

28.   The sum of the measure of all three interior angles of a triangle is ………………………..

29.   A triangle whose two angles are equal is known as ……….…triangle.

MULTIPLE CHOICE QUESTIONS:

1. Two congruent figure have same :
a). Shape    

b). Size     

c). Color   

d). Both a and b

2. Two figures are said to be similar if they have same :
a). Shape    

b). Size    

c). Color      

d). Both a and b

3. Which of the following is not a congruency rule
a). ASA   

b). SSA    

c). RHS   

d) AAA 

4. Choose the correct statement

     (a) a triangle has two right angles

     (b) all the angles of a triangle are less than 60°

     (c) centroid is the point of intersection of medians

     (d) None of these

5. If ΔABC is congruent to ΔPQR by SSS congruence rule, then:

      (a) ∠C < ∠R                            

      (b) ∠B < ∠Q

      (c) ∠A < ∠P

      (d) ∠A = ∠P, ∠B = ∠Q, ∠C = ∠R

6.   In isosceles triangle ACD and ADB , the congruency rule used in proving ∠ACD ≌ ∠ADB is

(a) ASA                             

         (b) SSS

        (c) AAS                             

       (d) RHS                                                                  

    

7.   In the given figure, find PM

                                                                                   

      (a) 3 cm                              

      (b) 5 cm

      (c) 4 cm                             

      (d) 2 cm

8. In isosceles triangle ABC, AD is the median then ∠BAD is

                                                                                     

          (a) 35°                                

         (b) 70°

         (c) 110°                              

         (d) 55°

9. Which is not a criterion for congruence of triangles ?

(a) SSA                         

(b) SAS                           

(c) ASA                  

(d)  SSS

10. The sum of altitudes of a triangles is ________ than the perimeter of the triangle

(a) Greater                  

(b) equal                    

(c) half                        

(d) less

11. If one angle of a triangle is equal to the sum of other two angles, then triangles is ___

(a) Acute triangles                                         

(b) right triangles                                                

(c) obtuse triangles                                   

(d) none of these

12. The centroid is the intersection of three ___________ of a triangles

(a) Altitudes                                                   

(b) Medians                                               

(c) Angles bisectors                                 

(d) Perpendicular bisectors

13. The incentre is the intersection of three ___________ of a triangles

(a).Altitudes                                               

(b) Medians                                                         

(c) Angles bisectors                                   

(d) Perpendicular bisectors

14. The orthocentre is the intersection of three ___________ of a triangles

             (a).Altitudes                                               

             (b) Medians                                                          

             (c) Angles bisectors                                               

             (d) Perpendicular bisectors

15. The circumcentre is the intersection of three ___________ of a triangles

(a).Altitudes                                                                   

(b) Medians                                         

(c) Angles bisectors                                                       

(d) Perpendicular bisectors

16. Euler’s line of triangles is the lines which passes through _______________

(a) Orthocenter               

(b) circumcentre           

(c) centroids           

(d) all of these

17. What type of triangle is Δ ABC, where ∠B = ∠C = 71°? 

(a) Equilateral        

(b) Isosceles     

(c) Scalene         

(d) acute

18. What is a triangle that contains no right angle called?

(a) Right      

(b) Oblique     

(c) Opaque            

(d) none of these

TRUE OR FALSE:

1. Every similar figure is congruent.

2. Every congruent figure is similar.

3. Every ATM cards are congruent.

4. Every ATM cards are similar.

5. Every ten rupee coin are congruent.

6. Triangle is a closed figure.

7. Triangle is a type of polygon. 

8 If any two angles and a non-included side of one triangle are equal to the corresponding angles            and side of another triangle respectively, then the two triangles are not congruent………………

9. Angles opposite to two equal sides of a triangle are unequal………………………

10. The sum of any two sides of a triangle is equal to its third side………………….

11. Difference of any two sides of a triangle is greater than the third side…………...

12. An obtuse triangle may be an equilateral triangles……………………….

13. Scalene triangle cannot be an acute- angled triangle ……………………

14. An isosceles triangle may be a right angled triangle…………………...

15. The angles of a triangle are in the ratio 2 : 1 : 3, then triangles is a right angled      triangles………………….

Match The Following     

 1. Traiangle ABC congruence QRP, 

      

     Match the corresponding parts.

                     List- A                                                           List – B

      P)           AB                                                            1)   Angle Q 

      Q)          BC                                                             2)   QP

    

      R)          AC                                                             3)   QR

      S)           Angle A                                                    4)   RP

Code:

             P            Q            R             S

a)      1             2             3              4

b)      1             2             4              3

c)      3             4             2              1

d)     2             3             1              4

BY 
ARANBIR SINGH

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