Class 9 Test Paper Chapter - Coordinate Geometry and Atoms | CBSE Board | Detailed Solutions & Marking Scheme

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 VEDANT CLASSES

Weekly Chapter-Wise Assessment Series

Class: 9 (CBSE)
Subject: Mathematics & Science
Max. Marks: 30
Time: 1 Hour
Topics: Coordinate Geometry & Structure of the Atom
Date: ____________

GENERAL INSTRUCTIONS:

  1. All questions are compulsory.

  2. Internal choices are provided wherever necessary.

  3. Questions 1 to 10 are Multiple Choice Questions (MCQs) carrying 1 mark each.

  4. Questions 11 to 14 are Short Answer Type-I questions carrying 2 marks each.

  5. Questions 15 to 18 are Short Answer Type-II questions carrying 3 marks each.

SECTION A: MULTIPLE CHOICE QUESTIONS (10 × 1 = 10 MARKS)

Q1. The point where the X-axis and Y-axis intersect each other is called the:
(A) Abscissa (B) Ordinate (C) Origin (D) Quadrant

Q2. If the coordinates of a point are (-3, 4), then this point lies in which quadrant?
(A) Quadrant I (B) Quadrant II (C) Quadrant III (D) Quadrant IV

Q3. The reflection of the point (2, -5) across the X-axis gives the coordinates:
(A) (-2, -5) (B) (2, 5) (C) (-2, 5) (D) (5, 2)

Q4. A point whose abscissa is -4 and ordinate is 0 lies on:
(A) Positive X-axis (B) Negative X-axis (C) Positive Y-axis (D) Negative Y-axis

Q5. What will be the reflection of the point (-3, -7) across the Y-axis?
(A) (3, -7) (B) (-3, 7) (C) (3, 7) (D) (-7, -3)

Q6. Species that possess the same atomic number but different mass numbers are termed as:
(A) Isobars (B) Isotopes (C) Isotones (D) Isomers

Q7. An atom of Sodium (Na) has an atomic number of 11 and a mass number of 23. The number of neutrons is:
(A) 11 (B) 12 (C) 23 (D) 34

Q8. Which pair represents a set of Isobars according to NCERT textbook examples?
(A) ¹²C and ¹⁴C (B) ¹H and ²H (C) ⁴⁰Ar and ⁴⁰Ca (D) ³⁵Cl and ³⁷Cl

Q9. The total number of electrons present in a fully neutral Magnesium (Mg) atom (Atomic Number = 12) is:
(A) 10 (B) 12 (C) 24 (D) 14

Q10. If the coordinates of two points are P(-2, 3) and Q(-3, 5), then (Abscissa of P) - (Abscissa of Q) is:
(A) 1 (B) -1 (C) 5 (D) -5

SECTION B: SHORT ANSWER TYPE-I QUESTIONS (4 × 2 = 8 MARKS)

Q11. Write the signs of the coordinates (abscissa and ordinate) for points lying in:

(a) Quadrant III

(b) Quadrant IV

Q12. Plot the following points on a conceptual Cartesian plane graph layout:
A(3, 2), B(-4, -1), C(0, 5), and D(-3, 0).

Also state which axis or quadrant they belong to.

Q13. Calculate the number of protons, electrons, and neutrons in Carbon (¹²₆C) and Aluminum (²⁷₁₃Al).

Q14. Give any two core practical applications or uses of Isotopes in the field of medicine or nuclear science as specified in your NCERT textbook.

SECTION C: SHORT ANSWER TYPE-II QUESTIONS (4 × 3 = 12 MARKS)

Q15. Maths Analytical Question:

A point P(4, 3) is reflected across the X-axis to get image point Q. Point Q is then reflected across the Y-axis to get image point R.

Find the final coordinates of point R and state the geometric relationship between point P and point R.

Q16. Science Numerical (Average Atomic Mass):

Natural Chlorine occurs as a mixture of two isotopic forms with mass numbers 35 u and 37 u, existing in the ratio of 75% and 25% respectively.

Formulate and calculate the average atomic mass of Chlorine step-by-step.

Q17. Three vertices of a rectangle are given as (0, 0), (5, 0), and (0, 3).

Find the coordinates of the fourth missing vertex by analyzing the properties of coordinate distances.

Q18. Define Isobars.

How do Isobars differ fundamentally from Isotopes regarding their atomic structures (atomic number, mass number, and subatomic particle distributions)?

Provide a clear comparative point table.

VEDANT CLASSES

WEEKLY CHAPTER-WISE ASSESSMENT SERIES

ANSWER KEY WITH MARKING SCHEME

Class: 9 (CBSE)
Subject: Mathematics & Science
Topics: Coordinate Geometry & Structure of the Atom
Max. Marks: 30

SECTION A: MCQs (10 × 1 = 10 MARKS)

Q1. (C) Origin
Marks: 1

Q2. (B) Quadrant II
Marks: 1

Q3. (B) (2, 5)
Marks: 1

Q4. (B) Negative X-axis
Marks: 1

Q5. (A) (3, -7)
Marks: 1

Q6. (B) Isotopes
Marks: 1

Q7. (B) 12
Calculation:
Neutrons = Mass Number - Atomic Number
= 23 - 11 = 12
Marks: 1

Q8. (C) ⁴⁰Ar and ⁴⁰Ca
Marks: 1

Q9. (B) 12
Marks: 1

Q10. (A) 1
Calculation:
(-2) - (-3) = 1
Marks: 1

SECTION A TOTAL = 10 MARKS

SECTION B: SHORT ANSWER TYPE-I
(4 × 2 = 8 MARKS)

Q11. Write the signs of coordinates in:

(a) Quadrant III = (- , -)

(b) Quadrant IV = (+ , -)

Marking Scheme:
Correct sign of Quadrant III = 1 mark
Correct sign of Quadrant IV = 1 mark

Total = 2 Marks

Q12. Plot the points and state their positions.

A(3, 2) → Quadrant I

B(-4, -1) → Quadrant III

C(0, 5) → Positive Y-axis

D(-3, 0) → Negative X-axis

Marking Scheme:
A correct = 0.5 mark
B correct = 0.5 mark
C correct = 0.5 mark
D correct = 0.5 mark

Total = 2 Marks

Q13. Calculate protons, electrons and neutrons.

Carbon (¹²₆C)

Protons = 6

Electrons = 6

Neutrons = 12 - 6 = 6

Aluminium (²⁷₁₃Al)

Protons = 13

Electrons = 13

Neutrons = 27 - 13 = 14

Marking Scheme:
Carbon values = 1 mark
Aluminium values = 1 mark

Total = 2 Marks

Q14. Any two uses of isotopes:

  1. Cobalt-60 is used in cancer treatment.

  2. Iodine-131 is used in treatment and diagnosis of thyroid disorders.

(Other valid NCERT uses may be accepted.)

Marking Scheme:
One correct use = 1 mark
Second correct use = 1 mark

Total = 2 Marks

SECTION B TOTAL = 8 MARKS

SECTION C: SHORT ANSWER TYPE-II
(4 × 3 = 12 MARKS)

Q15. Reflection of a point

Given:
P(4, 3)

Reflection across X-axis:

Q = (4, -3)

Reflection of Q across Y-axis:

R = (-4, -3)

Final Answer:
Coordinates of R = (-4, -3)

Geometric Relationship:

P(4, 3) and R(-4, -3) are reflections through the origin (origin symmetry).

Marking Scheme:
Finding Q = 1 mark
Finding R = 1 mark
Relationship stated correctly = 1 mark

Total = 3 Marks

Q16. Average Atomic Mass of Chlorine

Given:

75% of 35u

25% of 37u

Average Atomic Mass

= (35 × 75/100) + (37 × 25/100)

= 26.25 + 9.25

= 35.50 u

Answer:
Average atomic mass of Chlorine = 35.5 u

Marking Scheme:
Formula = 1 mark
Substitution = 1 mark
Final answer = 1 mark

Total = 3 Marks

Q17. Fourth Vertex of Rectangle

Given vertices:

(0,0), (5,0), (0,3)

The fourth vertex will be:

(5,3)

Answer:
Fourth vertex = (5,3)

Marking Scheme:
Understanding rectangle property = 1 mark
Correct coordinates = 1 mark
Proper explanation = 1 mark

Total = 3 Marks

Q18. Isobars and Isotopes

Definition:

Isobars are atoms of different elements having the same mass number but different atomic numbers.

Comparison Table:

Feature | Isobars | Isotopes

Atomic Number | Different | Same

Mass Number | Same | Different

Element | Different | Same

Number of Protons | Different | Same

Number of Neutrons | Different | Different

Example | ⁴⁰Ar and ⁴⁰Ca | ³⁵Cl and ³⁷Cl

Marking Scheme:
Definition = 1 mark
Any two correct differences = 1 mark
Example/complete comparison = 1 mark

Total = 3 Marks

SECTION C TOTAL = 12 MARKS

GRAND TOTAL = 30 MARKS

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