9TH MATHS INTERMEDIATE, Exams of Mathematics

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2019/2020

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Discipline Peace Education
Managed by Sanskar Student Medical & Welfare Trust
Sanskarkunj Gyanpith, Narthan-Surat
English Medium โ€“ (GSEB) (Secondary Section)
(PT-III Examination) 2019-20
Date - 18/03/2020 Subject: Mathematics Roll No.______
Day - Wednesday Total Marks - 80
Std- 9th
---------------------------------------------------------------------------------------------------------------------
Section - A
Q โ€“ 1 True or Falase. [04]
1.
22
7
is an irrational number.
2. The median of the observations 2, 7, 1, 10, 4, 6 is 4.
3. Given 4000 distinct points, infinite number of lines pass through them.
4. The graph of X + Y = 1 passes through point (1, 1).
Q โ€“ 2Choose the correct answer. [04]
5. If (X11 + 101) is divided by (X + Y ) , the reminder is ________.
A. (-1) B. 102 C. 0 D. 100
6. A card is drawn at random from a well shuffled pack of 52 cards. Then, the probability of
that card being a king is _________.
A.
1
52
B.
1
26
C. 1 D.
1
13
7. The median of the observations 32, 44 , 25 , 50 , 37 is
A. 32 B. 25 C. 37 D. 50
8. In square PQRS, if PQ = 15 cm, then PR = ________ cm.
A. 15 B. 30 C. 15
โˆš
2
D. 2
โˆš
15
Q โ€“ 3Fill in the blanks. [04]
9.
โˆš
169
= _______.
10. The zero of the polynomial 5X โ€“ 3 is _________.
11. In a histogram ___________ are represented on the X โ€“ axis.
12. The Y โ€“ coordinate of point on the X โ€“ axis is ___________.
Q โ€“ 4 Answer the following question. [04]
13. If (-3, -2) is a solution of ax โ€“ 7y = 5 then find a.
14. In which quadrant does the point (-12, 9) lie?
15. State the number of dimensions of a line.
16. Area of rectangle = _____________.
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Discipline Peace Education Managed by Sanskar Student Medical & Welfare Trust Sanskarkunj Gyanpith, Narthan-Surat English Medium โ€“ (GSEB) (Secondary Section) (PT-III Examination) 2019- Date - 18/03/2020 Subject: Mathematics Roll No.______ Day - Wednesday Total Marks - 80 Std- 9th


Section - A Q โ€“ 1 True or Falase. [04]

is an irrational number.

  1. The median of the observations 2, 7, 1, 10, 4, 6 is 4.
  2. Given 4000 distinct points, infinite number of lines pass through them.
  3. The graph of X + Y = 1 passes through point (1, 1). Q โ€“ 2Choose the correct answer. [04]
  4. If (X^11 + 101) is divided by (X + Y ) , the reminder is ________. A. (-1) B. 102 C. 0 D. 100
  5. A card is drawn at random from a well shuffled pack of 52 cards. Then, the probability of that card being a king is _________. A.

B.

C. 1 D.

  1. The median of the observations 32, 44 , 25 , 50 , 37 is A. 32 B. 25 C. 37 D. 50
  2. In square PQRS, if PQ = 15 cm, then PR = ________ cm.

A. 15 B. 30 C. 15โˆš 2 D. 2โˆš 15

Q โ€“ 3Fill in the blanks. [04]

9. โˆš 169 = _______.

  1. The zero of the polynomial 5X โ€“ 3 is _________.
  2. In a histogram ___________ are represented on the X โ€“ axis.
  3. The Y โ€“ coordinate of point on the X โ€“ axis is ___________. Q โ€“ 4 Answer the following question. [04]
  4. If (-3, -2) is a solution of ax โ€“ 7y = 5 then find a.
  5. In which quadrant does the point (-12, 9) lie?
  6. State the number of dimensions of a line.
  7. Area of rectangle = _____________.

Section - B ๏‚ท Solve the following. (20)

  1. The diameter of a sphere is 21 cm. Find its volume. (ฯ€ =
  1. Find any four rational numbers between 4 and 5. Or

Represent โˆš 5 on number line:

  1. Factorize : 8x^2 + 26x + 15
  2. Check whether (7, 3) is solution of the equation 2x โ€“ y = 17 or not.
  3. AD and BC are equal perpendiculars to a line segment AB. Show that CD bisects AB. Or โˆ†ABC is a right angled triangle in which โˆ•A = 90 and AB = AC. find โˆ• B and โˆ• C.
  4. In given fig(a) , โˆ• ABC = 69, โˆ• ACB = 31 , find โˆ• BDC.
  5. โˆ• X and โˆ• Y are supplementary angles. If X: Y = 11, then find โˆ• X and โˆ• Y.
  6. In parallelogram PQRS, โˆ• P = โˆ• Q + 20 Find โˆ• R.
  7. In given fig (b), if AC = BD then prove that AB = CD.
  8. Visualize 3. 765 on the number line. Section โ€“ C ๏‚ท Solve the following. [24]
  9. If the lateral surface area of a cylinder is 94.2 cm^2 and its height is 5 cm , then find (1) radius of base (2) its volume (ฯ€= 3.14)
  10. Twenty seven solid iron sphere , each of radius r and surface area S are melted to from a sphere with surface area S. find the (i) radius r of the new sphere (ii) ratio of S & S.
  11. 50 seeds are selected at random from each of 5 bags of seeds and were kept under standardized bag, Number of seeds 1 2 3 4 5 Germinated 40 48 42 39 41 What is the probability of germination of (i) More than 40 seeds in a bag. (ii) 49 seeds in a bag? (iii) more than 35 seeds in a bag?