7th Class Mathematics Sample Paper

done Mathematics Sample Paper - 3 Total Questions - 30    [Download]

• question_answer1)
  What is the additive inverse of -14?
  View Answer play_arrow

• question_answer2)
  The circumference of two circles are in the ratio 5: 6. Find the ratio of their radius.
  View Answer play_arrow

• question_answer3)
  Write the degree of the following expression. \[{{x}^{2}}({{x}^{3}}-x+1)\]
  View Answer play_arrow

• question_answer4)
  Solve\[\frac{{{x}^{3}}\times {{x}^{5}}}{{{x}^{2}}}\].
  View Answer play_arrow

• question_answer5)
  How many lines of symmetry are there in a circle?
  View Answer play_arrow

• question_answer6)
  Calculate\[{{\left( {{2}^{3}} \right)}^{5}}\].         
  View Answer play_arrow

• question_answer7)

  In the following figures, find the value of x.

  (a)

  (b)

  View Answer play_arrow

• question_answer8)
  An elevator descends into a mine shaft at the rate of 6 m/min. If the descent starts from 10 m above the ground level, how long will it take to reach - 350 m.
  View Answer play_arrow

• question_answer9)
  Cost of an item is Rs 50. It was sold with a profit of 12%. Find the selling price.
  View Answer play_arrow

• question_answer10)

  State the number of line of symmetry for the following:

  (a) A regular hexagon.

  (b) A parallelogram.

  View Answer play_arrow

• question_answer11)
  Two cubes each with 2 cm edge are placed side by side to form a cuboid. Try to make an oblique sketch and say what could be its length, breadth and height.
  View Answer play_arrow

• question_answer12)

  Find:

  (a) \[6\div 5\frac{1}{3}\]

  (b) \[7\div 2\frac{4}{7}\]

  View Answer play_arrow

• question_answer13)
  Construct \[\Delta \]ABC, given m \[\angle \]A =\[60{}^\circ \], m\[\angle \]B = \[30{}^\circ \] and AB = 5.8 cm.
  View Answer play_arrow

• question_answer14)
  Rectangle ABCD is formed in a circle as shown. If AE = 8 cm and AD = 5 cm, find the perimeter of the rectangle.    
  View Answer play_arrow

• question_answer15)
  The product of two rational numbers is \[\frac{-8}{9}\] . If one of the number is \[\frac{-4}{15}\], find the other.
  View Answer play_arrow

• question_answer16)

  Simplify:

  (a) \[\frac{4}{9}\div \frac{2}{3}\]

  (b) \[3\frac{3}{7}\div \frac{8}{21}\]

  (c) \[15\frac{3}{7}\div 1\frac{23}{49}\]

  View Answer play_arrow

• question_answer17)
  If\[\frac{2x-1}{3}=\frac{x-2}{3}+1\], find the value of x.
  View Answer play_arrow

• question_answer18)

  Find the values of n, when:

  (a) \[{{5}^{2n}}\times {{5}^{3}}={{5}^{9}}\]

  (b) \[8\times {{2}^{n+2}}=32\].

  View Answer play_arrow

• question_answer19)
  Find the angle which is \[\frac{2}{3}\] rd of its complement.
  View Answer play_arrow

• question_answer20)
  The mean of three numbers is 10. The mean of other four numbers is 12. Find the mean of the numbers.
  View Answer play_arrow

• question_answer21)
  If the angles of a triangle are in the ratio 2:3:4, find the value of each angle.
  View Answer play_arrow

• question_answer22)
  How many times the wheel of radius 28 cm must rotate to go 352 m? (Take\[\pi =\frac{22}{7}\]).
  View Answer play_arrow

• question_answer23)
  Find the measures of the angles made by the intersecting lines at the vertices of an equilateral triangle.
  View Answer play_arrow

• question_answer24)
          In figure, QP || RT. Find the values of x and y.
  View Answer play_arrow

• question_answer25)

  In the figure, AC = BD and AD = BC. Which of the following statements is meaningfully written?

  (a) \[\Delta ABC\cong \Delta ABD\]

  (b) \[\Delta ABC\cong \Delta BAD\].

   
  View Answer play_arrow

• question_answer26)
  Construct a \[\Delta \]PQR, where PQ = 5 cm, \[\angle \]P =\[~45{}^\circ \] and \[\angle \]Q = \[75{}^\circ \]
  View Answer play_arrow

• question_answer27)
  A rectangle park is 45 m long and 30m wide. A path 2.5 m wide is constructed outside the park. Find the area of the path 
  View Answer play_arrow

• question_answer28)
  If A =\[2+4x+8{{x}^{2}}\],B =\[-3-5x+{{x}^{2}}\], C = 1 + \[3x-7{{x}^{2}}\]find A + B + C
  View Answer play_arrow

• question_answer29)

  What cross-sections do you get when you give a

  (i) Vertical cut

  (ii) Horizontal cut to the following solids?

  (a) A brick

  (b) A round apple

  (c) A die

  (d) A circular pipe

  (e) An ice-cream cone.

  View Answer play_arrow

• question_answer30)
  Find the value of n, where n is an integer and \[{{2}^{n-5}}\times {{6}^{2n-4}}=\frac{1}{{{12}^{4}}\times 2}\].
  View Answer play_arrow