Class VII Maths Sample Paper – Set 1
Max. Marks: 80                                                Time Allowed: 3 hours
General Instructions:
1. This Question Paper has 4 Sections A-D.
2. Section A has 6 Questions carrying 1 mark each.
3. Section B has 6 questions carrying 02 marks each.
4. Section C has 10 questions carrying 03 marks each.
5. Section D has 8 questions carrying 04 marks each.
 Q. No.                                  Questions                                Marks
                                          Section A
   1.     Evaluate: (−3) + 4 .                                                   1
   2.               7                                                            1
          Convert     into a decimal.
                    8
   3.     Write the algebraic expression for ``five more than thrice x ''.       1
   4.     Give one example of a negative rational number.                        1
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5.    How many lines of symmetry does a regular hexagon have?                       1
6.    Write the absolute value of −11.                                              1
                                 Section B (2 marks each)
7.                5 1                                                               2
      Simplify:    − .
                  6 3
8.    If x = 4 , evaluate x 2 − 5 x + 4 .                                           2
9.    Express the ratio 42 : 63 in its simplest form.                               2
10.   Find the supplement of 98 .                                                  2
11.   If a bag has 2 red, 5 blue, and 3 green marbles, and one marble is            2
      drawn at random, what is the probability of drawing a green marble?
12.                                                     1    1                      2
      Write any two rational numbers between −            and .
                                                        4    4
                                            Section C
13.   If the perimeter of a triangle is 72cm and its sides are in the ratio 3 : 5   3
      : 4, find the lengths of its sides.
14.   Convert 1.2 into a fraction in its simplest form. Then express it as a        3
      percentage.
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15.   Solve 2 x + 7 = 3 and check your solution.                                      3
16.   How many integers lie between −5 and 4 ? List them.                             3
17.   In the expression 4 x2 y + 3xy 2 − 5 y , identify the coefficients of x 2 y ,   3
      xy 2 , and y .
18.   The three angles of a triangle are in the ratio 1 : 2 : 3. Find the angles.     3
      Also, determine the type of the triangle.
19.   If the cost of 5 notebooks is Rs 100, find the cost of 7 such                   3
      notebooks.
20.   By how much does (−6)  4 differ from (−6) + 4 ?                                3
21.   In a bar graph, it is shown that 20 students like Cricket, 15 like              3
      Football, 10 like Kabaddi, and 5 like Tennis. How many more
      students like Cricket than Kabaddi?
22.   Draw a rough sketch of ABC and mark its medians from vertices A , 3
      B , and C .
                                         Section D
23.   A rectangular field is 50m long and 30m wide. A path of width 3m                4
      runs inside it along the boundary. Find the area of the remaining field
      after the path is laid.
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24.   If a train travels 180km in 4.5hours, how long will it take to travel        4
      400km at the same speed?
25.   Construct a triangle PQR given PQ = 5 cm, QR = 4 cm, and PR = 6              4
      cm. Write down the steps of construction.
26.   The sum of three consecutive integers is 96. Find the integers.              4
27.   The perimeter of a rectangle is 140cm. If its breadth is 20cm, find its      4
      length and its area.
28.   A girl is 12 years old and her mother is 36 years old. How many years 4
      ago was her mother's age five times that of the girl? Form the
      equation and solve it.
29.   A right-angled triangle has sides 9cm, 12cm, and 15cm. Verify the            4
      Pythagoras Theorem for these sides.
30.   A fruit-seller sells 3 apples for Rs 45. Find the cost of 10 apples. If he   4
      gives a discount of Rs 5 on that total, how much does the customer
      pay?
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