QUESTION PAPER
DETAILED ASSESSMENT -4
    CLASS           SECTION                 EXAM CODE
        7                  A                      3358562
        7                  B                      3358582
        7                  C                      3358592
    SCHOOL
    Pragyan School
    1. There are 25 questions in the paper. All are compulsory.
    2. Tick or circle the option which is your answer.
    3. Show your working on a separate sheet of paper wherever
    you need to.
    4. For calculations take pi as 22/7.
    5. Please check your answers carefully before submitting the
    test. Once submitted, the answers CANNOT be changed.
1
                                              Detailed Assessment -4   CLASS 7         SET NO   2
Q: 1 The following table gives the number of goals scored by a football club in 11 matches.
     Number of Goals   Frequency
            0               1
            1               1
            4               1
            5               2
            7               4
            8               2
     What is the mean number of goals scored by the football club?
     1 4.17                 2 5.9                  3 5.36                  4 9.83
Q: 2 A jeweller recorded the sizes of the rings he sold as shown in the table below.
     Which of these statistical measures would tell the jeweller about the most common
     ring size?
     1 range                2 median               3 mode                  4 mean
Q: 3 Priya's marks in four of her five subjects are given below.
     95, 90, 85, 95
     She wants the mean of her marks in 5 subjects to be 90. How many marks does Priya
     need in her 5th subject to get a mean of 90?
     1 75                   2 80                   3 85                    4 90
Q: 4 The average height of Pooja and three of her friends is 162 cm. If the average height
     of her three friends is 160 cm, what is Pooja's height?
     1 162 cm               2 163 cm               3 166 cm                4 168 cm
                                              2
                                              Detailed Assessment -4   CLASS 7        SET NO   2
Q: 5 The table below shows the growth of some plants over the same period of time.
     Plant   Growth in cm
     A             5
     B             8
     C            14
     D            13
     E            10
     F            12
     G             7
     H            11
     What is the RANGE of this set of data?
     1 19 cm                  2 14 cm              3 9 cm                  4 6 cm
Q: 6 The marks secured by 6 students in Mathematics are shown below.
     78, 90, 65, 99, 90, 84
     Which of the following will be the highest for the given set of values?
     1 mean                   2 mode               3 median                4 range
Q: 7 The graph here shows the sales of various fruits over a period of 2 days.
     For which fruit is the difference between the sales on 2 days the MAXIMUM?
     1 Papayas                2 Mangoes            3 Oranges               4 Apples
                                              3
                                               Detailed Assessment -4   CLASS 7        SET NO   2
Q: 8 Rajeev is 167 cm tall. The heights of Rajeev and his friends are given below.
      161 cm 161 cm 164 cm 165 cm 167 cm 172 cm 173 cm 174 cm 175 cm
     Rajiv's height is the ______ of all the heights given above.
      1 mode                   2 mean               3 median                 4 range
Q: 9 Which of the following shapes has/have a perimeter of 36 cm?
      1 only Figure 2                               2 only Figure 3
      3 only Figures 1 and 3                        4 only Figures 2 and 3
Q: 10 The diameter of a toy cycle wheel is 30 cm. How much distance would it travel when
      its wheel completes 10 revolutions?
      1 600π                   2 300π               3 150π                   4 40π
                                                4
                                             Detailed Assessment -4   CLASS 7         SET NO   2
Q: 11 What is the area of the parallelogram PQRS shown below?
      1 20 cm 2                                    2 24 cm 2
      3 48 cm 2                                    4 60 cm 2
Q: 12 What is the area of the shape shown below?
      1 28 cm 2                                    2 36 cm 2
      3 40 cm 2                                    4 80 cm 2
Q: 13 What is the area of a square shaped farm whose side is 100 m?
      1 1 hectare           2 100 hectare          3 10000 m              4 10000 hectare
Q: 14 Shown below is a shape with four sides. The lengths of three sides are given.
     What is the length of the fourth side if the perimeter of the shape is 27 cm?
      1 5 cm                2 6 cm                 3 9 cm                 4 22 cm
                                              5
                                                  Detailed Assessment -4   CLASS 7        SET NO   2
Q: 15 Sam wants to carpet a room in his house. The length of the room is 12 m and breadth
      is 5 m.
      What will be the amount spent on carpeting the room at Rs 25 per m 2 ?
      1 Rs 3000             2 Rs 1500                 3 Rs 850                 4 Rs 425
Q: 16 What is the area of the triangle shown below?
      1 7.5 cm 2                                      2 15 cm 2
      3 27 cm 2                                       4 54 cm 2
Q: 17 What is the area of the shaded ring shown below?
      1 400π cm 2                                     2 144π cm 2
      3 80π cm 2                                      4 64π cm 2
Q: 18 Which of these is the same as (   -1
                                        64   )?
                  -1                                        -1
      1 -(         4   )3                             2 (    8   )2
             -1                                             -1
      3 (     4    )3                                 4 (   16   )4
                                                  6
                                                         Detailed Assessment -4   CLASS 7      SET NO   2
Q: 19 Scientific notation is a very convenient way to write large or small numbers and do
      calculations with them.
        For example, the Earth's mass is about 5,973,600,000,000,000,000,000,000 kg. In
        scientific notation, this is written 5.9736 × 10 24 kg.
        Which of these is the correct scientific notation for the distance between the earth and
        the moon which is around 384400 km?
        1 3.844 × 10 3 km                                     2 3.844 × 10 5 km
        3 3.84400 × 10 6 km                                   4 3.84400 × 10 24 km
Q: 20 (5 4 × 2 6 ) 2 =
        1 52 × 24                                             2 56 × 28
        3 5 8 × 2 12                                          4 56 + 58
Q: 21
        1   8 a6 b3
        2   8 a4 b2
        3   56 a 6 b 3
        4   72 a 10 b 9
Q: 22 Which of these is the same as ( x + 6) 3 ?
        1   ( x + 6) added thrice.
        2   ( x + 6) multiplied by 3.
        3   ( x + 6) multiplied by itself thrice.
        4   3 multiplied by itself ( x + 6) times.
Q: 23 If y = (-2), then ( y 2 ) 4 ÷ ( y 2 ) 3 × ( y 2 ) 2 =
        1 -64                       2 -32                     3 64                    4 256
Q: 24 ☐ × ☐ = 9 16
        Which of these numbers goes into both the boxes above and makes the number
        sentence true?
        1 32                        2 34                      3 94                    4 98
Q: 25 Which of the following is equal to (-7) 0 ?
        1 1                         2 0                       3 (-1)                  4 (-7)
                                                End of Questions in Paper
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