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\ 07-Jan-2025 Surender Singh Routhan Proof-2 Reader’s Sign _______________________ Date __________

Think and Answer Practice Time 4A
Yes, because adjacent angles of a parallelogram are supplementary and 1. (a) Range = 68
opposite angles are equal. (b) Weights (in g) Tally marks Number of parcels
Practice Time 3C 30–40 5
1. (a) x = 128° (b) x = 144° (c) m = 81° (d) y = 110° 40–50 |||| 4
(e) x = 105°, y = 146° (f) x = 38°, y = 142°, z = 142° 50–60 || 2
2. 120° 3. 130° 4. 40°, 60°, 100°, and 160° 60–70 || 2
5. 36° 6. 105°, 75°, and 105° 70–80 ||| 3
7. 25 cm, 50 cm, 25 cm, and 50 cm 8. 6.5 80–90 || 2
9. OR = 6.4 cm, OS = 3.8 cm 90–100 || 2
10. (a) 18°, 54°, 126°, and 162° 2. Total 20
(b) Yes, ABCD is a trapezium since the pair of adjacent angles are Number of members Tally marks Number of families
supplementary 1–3 || 2
(c) No, since the opposite angles are not equal. 3–5 | 6
Quick Check 5–7 10
3 7–9 || 7
Practice Time 3D Total 25
1. 8 cm 2. 70° 3. 54°, 36°, and 90° 3. Maximum temperature (in °C) Tally marks Number of days
4. y = 2 5. 60°, 120°, 60°, and 120° 6. 50° 15–20 || 7
7. 18 cm 8. x = 5, y = 12, z = 13, Perimeter = 52 units
9. ∠EAR = 30°, ∠RAD = 60° 10. ∠AME = 20°, ∠AEM = 20° 20–25 5
Think and Answer 25–30 5
No, because we are given ∠P + ∠Q + ∠R = 360° but for quadrilateral we 30–35 5
should have ∠P + ∠Q + ∠R + ∠S = 360° 35–40 || | 8
Chapter Assessment Total 30
A. 1. (a) 2. (a) 3. (a) 4. (d) 5. (a) (a) 20–25, 25–30 and 30–35 (b) 35–40
6. (c) 7. (d) 8. (b) 4. Marks Tally marks Number of students
B. 1. (b) 2. (a) 3. (d) 4–8 || | 3
C. 1. 72° 2. 720° 3. 20° 4. Kite 5. two included 8–12 10
6. 6 cm 12–16 | 16
D. 1. (a) No, in a simple closed polygon no two line segments intersect except 16–20 || || 9
their end points.
(b) A concave hexagon. Its a polygon with 6 sides and two of its diagonals 20–24 || 2
are outside its boundary. Total 40
2. x = 55°, y = 69°, z = 111° 3. x = 88°, y = 68°, z = 92° 5. Time taken (in min) Tally marks Number of candidates
4. ∠BEC = 60° 5. ∠RWE = ∠RAE = 105° 6. 80° 25–30 || 7
7. 90° 8. No, diagonals of a parallelogram bisect each other.
9. The lengths of the other three sides are 23 cm, 30 cm, and 30 cm. 30–35 |||| 9
11. (a) Rectangle, kite, and parallelogram 35–40 | 6
(b) Parallelogram (c) Kite 40–45 15
Maths Connect 45–50 ||| 8
5 units Total 45
(a) 40–45 (b) 37.5 (c) 22 candidates
Unit Test – 1
(d) 29 candidates
A. 1. (d) 2. (b) 3. (a) 4. (b) 5. (d) 6. (a) 20–30, 30–40, 40–50, 50–60, 60–70
6. (c) 7. (b) 8. (c) 9. (a) 10. (c) (b) 38–46, 46–54, 54–62, 62–70, 70–78
b
B. 1. 2 2. − 3. x = 10 4. 30° 5. 17.5 and 10.5 cm Quick Check
5 a 1. 200 watches, Seller C 2. 500 3. Seller D
C. 1. False 2. False 3. True 4. True 5. True 4. 2100 watches
D. 2. 142 3. Son = 20 years, Father = 80 years 4. x = 1 Practice Time 4B
15 2 1. (a) Eight and half (b) Neeta
5. x = 80° 6. 60°, 80°, 100°, 120° 7. 49°, 131°, 49°, 131°
(c) No, Neeta purchased 4 1 times more kites than Raman.
Chapter 4: Data Handling 4
2. (a) Number of refrigerators manufactured from year 2020 to 2024
Let’s Recall (b) 2024 (c) 2022, 2000 (d) 200
1. `8070.80 2. `5241.70 3. 733 units 4. 32 days 3. Reading books
Think and Answer 4. (a) Marks obtained by Aziz in half-yearly examinations in different subjects.
(b) Hindi
(c) Social Science
1. 4 2. 22 3. 15 5. (a) People prefer to watch more in Cricket, Basketball, Swimming and
Quick Check Hockey but like to participate more in Athletics and Wrestling.
Range = 25, class mark = 63 (b) Cricket (c) watching
Think and Answer 6. (a) `15000 (b) 37.5% (c) `5000 (d) Clothing
1. 45 2. 47.5 3. 5 4. 50–55 Maths Connect
5. 12 students 3. 720-740 4. 17

363 Answers