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Term 3 Complete Study Material 2019

7th Standard

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Maths

Time : 02:15:00 Hrs
Total Marks : 60

    I. Choose the best answer:

    15 x 1 = 15
  1. The sum of 5 times x, 3 times y and 7

    (a)

    5(x+3y+7)

    (b)

    5x+3y+7

    (c)

    5x+3(y+7)

    (d)

    5x+3(7y)

  2. One half of the sum of numbers a and b

    (a)

    \(\frac{1}{2}\left(a+b\right)\)

    (b)

    \(\frac{1}{2}a+b\)

    (c)

    \(\frac{1}{2}\left(a-b\right)\)

    (d)

    \(\frac{1}{2}+a+b\)

  3. Half of p added to the product of 6 and q

    (a)

    \(\frac{p}{2}+6q\)

    (b)

    \(p+\frac{6q}{2}\)

    (c)

    \(\frac{1}{2}\left(p+6q\right)\)

    (d)

    \(\frac{1}{2}\left(6p+q\right)\)

  4. \(\frac { 5 }{ 20 } =\)

    (a)

    25%

    (b)

    \(\frac { 1 }{ 4 } \)%

    (c)

    0.25%

    (d)

    5%

  5. The percent of 20 minutes to 1 hour is

    (a)

    33\(\frac { 1 }{ 3 } \)

    (b)

    33

    (c)

    33\(\frac { 2 }{ 3 } \)

    (d)

    none of these

  6. The percent of 50 paise to Re. 1 is

    (a)

    500

    (b)

    \(\frac { 1 }{ 2 } \)

    (c)

    50

    (d)

    20

  7. The common fraction of 30 % is

    (a)

    \(\frac { 1 }{ 10 } \)

    (b)

    \(\frac { 7 }{ 10 } \)

    (c)

    \(\frac { 3 }{ 100 } \)

    (d)

    \(\frac { 3 }{ 10 } \)

  8. 6 months =

    (a)

    \(\frac { 1 }{ 2 } yr\)

    (b)

    \(\frac { 1 }{ 4 } yr\)

    (c)

    \(\frac { 3 }{ 4 } yr\)

    (d)

    1 yr

  9. In an isosceles trapezium

    (a)

    non parallel sides are equal

    (b)

    parallel sides are equal

    (c)

    height = base

    (d)

    parallel sides = non parallel sides

  10. The sum of parallel sides of a trapezium is 18 cm and height is 15 cm. Then its area is

    (a)

    105 cm2

    (b)

    115 cm2

    (c)

    125 cm2

    (d)

    135 cm2

  11. A chord passing through the centre is called

    (a)

    Diameter

    (b)

    Radius

    (c)

    Chord

    (d)

    None

  12. The diameter of a circle is 1 m then its radius is

    (a)

    100 cm

    (b)

    50 cm

    (c)

    20 cm

    (d)

    10 cm

  13. In a triangle, all the three angles are equal, then the measure of each angle is

    (a)

    30o

    (b)

    45o

    (c)

    60o

    (d)

    90o

  14. Two angles of a triangle are 40° and 60°, then the third angle is

    (a)

    20o

    (b)

    40o

    (c)

    60o

    (d)

    80o

  15. The median of 30,50, 40, 10, 20 is

    (a)

    40

    (b)

    20

    (c)

    30

    (d)

    10

  16. II. Answer the following questions 

    15 x 2 = 30
  17. Write the algebraic expressions for the following:
    Double the sum of one third of a and m.

  18. Solve 5x + 3 = 17 - 2x

  19. A number when added to 60 gives 75. What is the number?

  20. There are 250 students in a school. 55 students like basketball, 75 students like football, 63 students like throw ball, while the remaining like cricket. What is the percent of students who like (a) basketball? (b) throw ball?

  21. Find the value of: \(33\frac { 1 }{ 3 } \)% of Rs 72 

  22. The value of an old car is Rs 45,000. If the price decreases by 15%, find its new price.

  23. A man bought an old bicycle for Rs 1,250. He spent Rs 250 on its repairs. He then sold it for Rs 1400. Find his gain or loss %

  24. Find the area of the trapezium whose height is 10 cm and the parallel sides are 12 cm and 8 cm of length.

  25. Find out the circumference of a circle whose diameter is 21 cm.

  26. The area of outer rectangle is 360 m2. The area of inner rectangle is 280 m2. The two rectangles have uniform pathway between them. What is the area of the pathway?

  27. Two angles of a triangle are 40° and 60°. Find the third angle.

    (Since sum of the three angles of a triangle is 180°)

  28. In the given figure. Find the value of x.

  29. Construct a triangle PQR given that PQ = 4 cm, QR = 6.5 cm and \(\angle\)PQR = 60°.

  30. The monthly income of 6 families are Rs.3500, Rs.2700, RS.3000, Rs. 2800, Rs. 3900 and Rs. 2100. Find the mean income.

  31. Find the median of the first 5 prime numbers

  32. III. Answer any five in detail

    5 x 3 = 15
  33. Solve:
    \(\frac { p }{ -7 } =8\)

  34. Solve:
    3(x+2)=15

  35. Write the following percent as a fraction:12 \(\frac{1}{2}\)%

  36. A sum of money doubles itself at 12\(\frac { 1 }{ 2 } \)% per annum over a certain period of time. Find the number of years.

  37. A rectangular hall has 10 m long and 7 m broad. A carpet is spread in the centre leaving a margin of 1 m near the walls. Find the area of the carpet. Also, find the area of the uncovered floor.

  38. State which of the following are triangles.
    (i) \(\angle A=25°,\angle B=35°,\angle C=120°\)
    (ii) \(\angle P=90°,\angle Q=30°,\angle R=50°\)
    (iii) \(\angle X=40°,\quad \angle Y=70°,\quad \angle Z=80°\)

  39. The weights of 5 people are 72 kg, 48 kg, 51 kg, 69 kg, 67 kg. Find the mean of their weights.

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