pre-model examination question paper for 9th std cbse portions
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Some sample questions from the set of Important 1 Mark Questions for CBSE Class 9 Mathematics Exam, are given below:
Q. If (1, −2) is a solution of the equation 2x – y = p, then find the value of p.
Sol.
2x − y = p
Putting x = 1, y = −2, in above equation, we get:
2(1) – (−2) = p
⟹ p = 4
Q. If the graph of equation 2x + ky = 10k, intersect x-axis at point (2, 0) then find value of k.
Sol.
Here, 2x + ky = 10k ...(i)
At point (2, 0), equation (i) becomes:
2(2) + k(0) = 10k
⟹ 4 = 10k
⟹ k = 10/4 = 0.4
CBSE Class 9 Mathematics Syllabus 2019-2020
Q. Find the radius of largest sphere that is carved out of the cube of side 8 cm.
Sol.
The largest sphere can be carved out from a cube, if we take diameter of the sphere equal to edge of the cube.
∴ Diameter of the sphere = 8 cm
Thus, radius of the sphere = 8/2 = 4 cm
Get here the complete set of CBSE Class 9 Mathematics: Important 1 Mark Questions
Important 2 Marks Questions
Here you will get important 2 marks questions which might be asked in CBSE class 9 Mathematics paper.
In CBSE class 9 Mathematics exam 2019, Section-B will contain 6 questions of 2 marks each.
Some sample questions from the set of Important 2 Marks Questions for CBSE Class 9 Mathematics Exam, are given below:
Q. Find the total surface area of a cube, whose volume is 3√3a3 cubic units.
Sol.
Since volume of a cube = 3√3a3
⟹ (side)3 = 3√3a3
⟹ (side)3 = √3 × √3 × √3 × a3
⟹ (side)3 = (√3a)3
⟹ side= √3a
Now, total surface area of cube =6 (side)2
= 6(√3a)2
= 18a2 sq. units
Q. If two opposite angles of a parallelogram are (63 − 3x)° and (4x − 7)°. Find all the angles of the parallelogram.
Sol.
In a parallelogram, the opposite angles are equal.
∴ (63 − 3x)° = (4x − 7)°
⟹ 4x + 3x = 63 +7
⟹ 7x = 70
⟹ x = 10
(63 − 3x)° = 33°
(4x − 7)° = 33°
Now, sum of all interior angles of a parallelogram = 360°
∴ Sum of the other two opposite angles = 360° − (33° + 33°) = 360° − 66° = 294°
∴ Each of the other two opposite angles = 294/2 = 147°
Hence the four angles of a parallelogram are 33°, 147°, 33°, 147°