YOU HAVE NO RECENTLY VIEWED BOOKS »
YOUR RECENTLY VIEWED BOOKS »
Sample Paper Mathematics Class 9
Answer 1.
(i) (c) rational number
(π – π) = 0 is a rational number.
(iv) (d) 0
2^{p} = 3^{q} = 6^{r} = k 2^{p} = k
(v) (a) 2 log a
3 log a – log a = 2 log a
(vi) (b) PQ > QR
(vii) (b) parallelogram
By mid-point theorem,
(viii) (c) 40°
In the adjoining figure,
∠OAD = ∠OCB (Alternate angles)
∠OCB = 30°
∠AOB + ∠BOC = 180°
⇒ 70° + ∠BOC = 180°
⇒ ∠BOC = 180° – 70°
⇒ ∠BOC = 110°
In ΔBOC
∠OBC + ∠BOC + ∠OCB = 180°
⇒ ∠OBC + 110° + 30° = 180°
⇒ ∠OBC = 40°
⇒ ∠DBC = 40°
(ix) (b) 1 : 1
We know,
Parallelograms on the same base and between the same parallel lines are equal in area (theorem).
Area of □ABCD = Area of □ABEF
Ratio = 1 : 1
(x) (b) False
Given, AD is diameter. AB can never be equal to AD because diameter is the largest chord of circle.
Hence AD > AB.
Also, to make AB = AD, AD should pass through centre of circle.
(xi) (b) 16
Mean of 45 numbers = 18
⇒ Sum of 45 numbers = 18 × 45 = 810
Mean of (75 – 45) numbers = 13
Sum of 30 numbers = 13 × 30 = 390
Sum of 75 numbers = Sum of 45 numbers + Sum of 30 numbers.
Sum of 75 numbers = 810 + 390 = 1200
X=1200/75
=16
BC = 19 cm
(xiii) (b) 70°
3 cot^{2} (x – 10°) = 1
⇒ cot^{2}(x – 10°) = 1/3
⇒ cot(x – 10°) = 1/√3
We know, cot 60° = 1/√3
⇒ cot(x – 10°) = cot 60°
⇒ x – 10° = 60°
⇒ x = 70°
(xiv) (c) 10 √3 units
Draw perpendiculars on AB from DC.
In DDXA,
sin 60° = DX /DA
⇒ √3/2 = DX /20
⇒ DX = 10√3
⇒ Distance between AB and DC is 10√3 uunniittss.
(xv) (c) Scalene triangle
Answer 2.
Answer 3.
Answer 4.
(i) Let us draw a right triangle ABC, right-angled at C in which tan A =1/√3
Answer 5.
(i) Given : In DABC, AD is the median.
To prove : AB + AC > 2 AD
Answer 6.
Answer 7.
Answer 8.
Answer 9.
Height (in cm) | Number of children (Frequency) |
120.5—130.5 | 10 |
130.5—140.5 | 15 |
140.5—150.5 | 12 |
150.5—160.5 | 16 |
160.5—170.5 | 8 |
170.5—180.5 | 4 |
Answer 10.
The dot mark ◉ field are mandatory, So please fill them in carefully
To download the Sample Paper (PDF File), Please fill & submit the form below.
Free Shipping on all
orderes over ₹ 1,000
Free 10-Day
Return Policy
15-Days Money-back
Guarantee
23,125 Products
Shipped this Month
Need Help?
+91-745 507 7222
No account yet?
Create an Account