Page 7 - Math_Genius_V1.0_C7_Flipbook
P. 7

D:\Surender Prajapati\CBSE_ICSE_Book_New\CBSE\Grade-7\Math_Genius-7\Open_File\0_Prelims\0_Prelims
             \ 15-Nov-2024                      Surender Prajapati   Proof-6              Reader’s Sign _______________________ Date __________






                maths fun
                Complete the number grids by following the direction of arrows.
                         10  +     +   +   ×  –
                           5      (–3)
                             × 20  + (–45)  8  – 6  (–4)  1                           Life Skills
                           +   ×   +            + 3                                 Three monkeys are climbing upstairs. They can only move ahead
                           13  3   2      –                                         if they eat a banana with the common factor of their numerator
                             + (–6)  – 10  + 4  9                                   and denominator on it.  Which of the three monkeys will be able
                           –       +            + 9
                           1              –
                         ×  (–1)   4      9                                         to reach the end?     2
                                        + 15
                           ×  ×   –             ×  12            Life Skills—            9                  1
                           2  3   6           ×                                            2                   7
                        + 7     + 9     + (–4)  3                include the                  17  4               1
                               –            + 9
                              32      ×       +                                                            –112
                        ×  2          10      4                  ability to                136             224
                                + (–3)  – 9
                          ×                                                                –124
                          3           ×   ×  +                   manage your
                                      (–8)  100  –21                                             4
                                                                 emotions, school                   1  9
              Maths Fun—make math practice more                  performance,                             3
              engaging by running these fun with math            health, finances,                 –108
                                                                                                   405
              activities.                                        behaviour,
                                                                 relationships,
                                                                 etc.
               Mental Maths
               piece?
             1.    When we cut a corner of a cube as shown in the given figure, what shape will we get from the cutout
                                                                            Learning by Doing—for creating interest
                                                                            of the learners in the subject and help them
             2.  Draw the top, side, and front views of the solid given below.
                                                                            draw conclusions on their own or sometimes
                                                                            to verify the concepts with hands-on practice.
              Mental Maths—to focus on 21st
              Century skills in teaching, learning                            Learning by Doing
              and assessment.                                         Objective: To understand the concept of finding the value of an algebraic expression.
                                                                      Materials Required: A-4 sheet, a geometry box
                                                                       Procedure:
              www                                                        • Take an A-4 sheet and draw few circles by using a
               MAths connect                                            pair of compasses of any measures.
                                                                         • Measure their radii by using a ruler and note down
                                                                        in the table as shown below.
              Global warming is the long-term heating of Earth's surface observed since the pre-industrial period (between
                                                                          • Find the circumferences of the circles you drawn
              1850 and 1900) due to human activities, primarily fossil fuel burning, which increases heat-trapping greenhouse
             gas levels in Earth's atmosphere. Draw a double bar graph that represents the temperature of different cities
              Cities                                                    by substituting the values of radii you measured of
             for the months of June and December.  Which city has the most temperature change when compared to others?
                      Delhi
              June     83    Mumbai  Bangalore  Hyderabad  Chennai       the respective circle.
              December        75     95     77                            • As the circumference of a circle is given by the
                       80     69     97    82     64                                           22   and r is the radius of the circle.
                                                  70
                                                                         algebraic expression 2p × r units, where p =   7
             Take help of the internet and read more about global warming and carbon emission.
             Also, collect the data about the average temperature in Delhi due to carbon emissions in May month from
             2020 - 2024. Calculate the arithmetic mean of the data.
                                                                                                     and r is the radius of the circle
                                                                           Circle  Radius of the circle,   Circumference of the circle (2p × r units),
                                                                                     r (in cm)  where p =  22 7
              Maths Connect—for enhancing the logical/critical          Circle 1     r = 7 cm  2 ×   22  × 7 cm = 44 cm
              thinking skills and encouraging the child to apply                                7
              the knowledge in handling real life situations.           Circle 2
                                                                        Circle 3
             Chapter Assessment—the process of interpreting,                Model Test papers—for self-testing the
             recording and using information about a student’s              preparation before the semester-end exam.
             responses.
                                                                                MODEL TEST PAPER – 1
                                                                          A.  Choose the correct option in Questions 1 to 10.
                                                                                26
                                                                              19
                                                                          1.  If x =   2 × 5 × 9 9 10 9 , then   1 x   is equal to   1
                                                                                25
                                                                             2 ×
                                                                                5 ×
                                                                              18
                                      Chapter assessment                                1         (c)   1     (d)   90
                   A.  Choose the correct option.                         (a)   1     (b)   60      88
                                                                             48
                     1.  A square has a rotational symmetry of order      2.  Reciprocal of which of the following numbers is not defined?
                   (a)  1
                               (b)  2                                                                        (d)  1
                                          (c)  3                                                  (c)  0
                                                      (d)  4                 1        (b)  –1
                   2.  The letter S has a rotational symmetry of order
                    (a)  1                                                 (a)
                               (b)  2                                        5
                                          (c)  3      (d)  4              3.  Which of the following equations is true for the given statement.
                     3.  The angle of rotation of a figure is 36°, its order of rotational symmetry is  “The sum of three times the number ‘y’ and 9 is 28”.
                   (a)  4
                              (b)  6                                                                          (d)  3y + 28 = 9
                                          (c)  9      (d)  10                                      (c)  3y + 27 = 28
                    (a)  B                                                 (a)  y + 27 = 28   (b)  3y + 9 = 28
                   4.  Which of the following letters has no line of symmetry?
                              (b)  A
                                          (c)  Z      (d)  M               4.  Degree measure of a straight angle is
                      5.  In the word “MATHS” which of the following pairs of letters shows rotational symmetry  (c)  135°   (d)  210°
                   (a)  M and T
                              (b)  H and S                                            (b)  270°
                                          (c)  A and S                     (a)  180°
                                                      (d)  T and S                                              P
                   B.  Assertion and Reason Type Questions.                5.  In the adjoining figure, PM is the median of DPQR.
                As per the new assessment practices, questions in          Then which of the following is true?
                                                                                            3
                   Choose the correct option as:
                   In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R).
                the examination will be competency-based in the            (a)  QM = 2 MR   (b)  QM =   2   MR


                form of multiple choice questions (MCQs),                   (c)  QM = MR   (d)  QR =   1 2   MR  Q  M  R
                  (a)  Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
                    Assertion (A).
                  (b)  Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of
                case-based questions and source-based questions.           6.  If y – 9 = 15, then y is equal to

                  (c)  Assertion (A) is true but Reason (R) is false.
                                                                                       (b)  3       (c)  7     (d)  24
                                                                            (a)  0
                  (d)  Assertion (A) is false but Reason (R) is true.
                                                                            7.  15 5  × 15 –3  × 15 8  is equal to   (c)  15 16     (d)  15 12
                  1.  Assertion (A): Square has four lines of symmetry.
                                                                            (a)  15 –5    (b)  15 10
                  Reason (R):  The line of symmetry is a line that divides an object into two identical pieces.
                                                                            8.  The rational number   5 8  with denominator 72 is written as  19
                  2.  Assertion (A): The order of rotational symmetry is 5, and the angle of rotation is 72°.
                                                                                          36          25       (d)
                  Reason (R):  The number of times a figure fits onto itself in a complete rotation is called the order
                                                                               45       (b)   72    (c)   72     72
                                                                            (a)
                        of rotational symmetry. If the angle of rotation of an object is x°, then the order of
                                                                               72
                        rotational symmetry is given by   360°  .         Directions. (For Qs 9–10): In the following questions, a statement of Assertion (A) is followed
                                                                          by a statement of Reason (R). Choose the correct option.
                                         ° x
                                                                             (a)  Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of
                 3.  Assertion (A):  The letter H has 2 lines of symmetry and order of rotational symmetry 2.
                 Reason (R):  Letter H has an angle of rotational symmetry 180°.
                 C.  Complete the given table.                                 Assertion (A).
                    Figure                                                   (b)  Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation
                             Lines of
                            Symmetry  Number of Lines   Rotational   Order of Rotational   of Assertion (A).
                                     of Symmetry
                 Parallelogram                Symmetry  Symmetry             (c)  Assertion (A) is true but Reason (R) is false.
                 Semi-circle                                                 (d)  Assertion (A) is false but Reason (R) is true.
                 Trapezium                                                                        196
                 Isosceles triangle
                 Regular octagon
                                      253
   2   3   4   5   6   7   8   9   10   11   12