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Chapter Exercises Solutions

January 20, 2025
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exercises practice solutions

Section 4.4 & General Exercises

Imran’s Family Expenditure (Page 93)

Q1. On which item does Imran’s family spend the most and second most?

  • Most: Food (3400)
  • Second Most: House Rent (3000)

Q2. Is the cost of electricity about one-half the cost of education?

  • Electricity: 400
  • Education: 800
  • Half of 800 is 400.
  • Yes.

Q3. Is the cost of education less than one-fourth the cost of food?

  • Food: 3400
  • One-fourth of food: 3400/4=8503400 / 4 = 850.
  • Education: 800.
  • 800<850800 < 850.
  • Yes.

Samantha’s Insects (Page 93)

Q1. Prepare a bar graph. Data: Mites (6), Caterpillars (10), Beetles (5), Butterflies (3), Grasshoppers (2).

  • Scale: 1 unit = 2 insects (or 1 unit = 1 insect for precision).
  • Mites: Bar height 6.
  • Caterpillars: Bar height 10.
  • Beetles: Bar height 5.
  • Butterflies: Bar height 3.
  • Grasshoppers: Bar height 2.

Pooja’s Railway Tickets (Page 93)

Data:

  • Vidisha: 24
  • Jabalpur: 20
  • Seoni: 16
  • Indore: 28
  • Sagar: 16

Questions:

  • a. Vidisha tickets: 24.
  • b. Jabalpur tickets: 20.
  • c. Scale:
    • Vidisha (24) is 6 units. 24/6=424 / 6 = 4.
    • Jabalpur (20) is 5 units. 20/5=420 / 5 = 4.
    • Scale: 1 unit length = 4 tickets.
  • d. Draw bar for Sagar:
    • Sagar = 16 tickets.
    • Height = 16/4=416 / 4 = 4 units.
  • f. Check Seoni and Indore:
    • Seoni (16) should be 4 units high.
    • Indore (28) should be 7 units high. (28/4=728 / 4 = 7).

Chinu’s Transport Survey (Page 94)

Q3a. Frequency Distribution Table:

TransportTally MarksFrequency
Bike`
Car`
Bicycle`
Auto Rickshaw`
Scooter`
Bus`
Bullock Cart`

Q3b. Most used transport? Bike (13).

Faiz’s Cricket Statistics (Page 95)

Q5a. What information is this table giving? It shows the number of wickets taken by Jaspreet Bumrah in his last 30 matches.

Q5d. In how many matches has Bumrah taken 4 wickets? Looking at the row for “4 wickets”: 3 matches.

Q5e. Can Mayank get the total wickets by adding 0+1+2…+7? No. That just adds the categories of wickets (0 to 7). To find the total wickets taken, you must multiply the number of wickets by the number of matches (Frequency) and then sum them up.

Q5f. Correct Calculation: Total Wickets = (0×2)+(1×4)+(2×6)+(3×8)+(4×3)+(5×5)+(6×1)+(7×1)(0 \times 2) + (1 \times 4) + (2 \times 6) + (3 \times 8) + (4 \times 3) + (5 \times 5) + (6 \times 1) + (7 \times 1) =0+4+12+24+12+25+6+7=90= 0 + 4 + 12 + 24 + 12 + 25 + 6 + 7 = 90 wickets.

Tractor Pictograph (Page 96, Q6)

Observation:

  • Village A: 6 tractors
  • Village B: 5 tractors
  • Village C: 8 tractors
  • Village D: 3 tractors
  • Village E: 6 tractors
  • (Assuming scale is 1 symbol = 1 tractor as per standard simple questions)

Answers:

  • a. Smallest number: Village D (3).
  • b. Most tractors: Village C (8).
  • c. Difference C and B: 8−5=38 - 5 = 3 tractors.
  • d. Komal says D has half of E.
    • D = 3.
    • E = 6.
    • Half of 6 is 3. Yes, she is right.

Girl Students Pictograph (Page 97, Q7)

Scale: 1 Face = 4 Girls.

  • Class 1: 6 faces = 24 girls.
  • Class 2: 4.5 faces = 4×4+2=184 \times 4 + 2 = 18 girls.
  • Class 3: 5 faces = 20 girls.
  • Class 4: 3.5 faces = 3×4+2=143 \times 4 + 2 = 14 girls.
  • Class 5: 2.5 faces = 2×4+2=102 \times 4 + 2 = 10 girls.
  • Class 6: 4 faces = 16 girls.
  • Class 7: 3 faces = 12 girls.
  • Class 8: 1.5 faces = 6 girls.

Answers:

  • a. Least number: Class 8 (6 girls).
  • b. Difference between Class 5 and 6:
    • Class 6 (16) - Class 5 (10) = 6 girls.
  • c. If 2 girls admitted to Class 2:
    • Current: 18 girls (4 full, 1 half).
    • New Total: 20 girls.
    • Graph Change: The half face becomes a full face (5 full faces).
  • d. Girls in Class 7: 12.

Mudhol Hounds (Page 98, Q8)

Data: A: 18, B: 36, C: 12, D: 48, E: 18, F: 24.

  • All numbers are multiples of 6.

a. Useful Scale: 1 Symbol = 6 Dogs. b. Symbols for Village B (36): 36/6=636 / 6 = 6 symbols. c. Village B + D vs Others:

  • B+D=36+48=84B + D = 36 + 48 = 84.
  • Others (A+C+E+FA+C+E+F) = 18+12+18+24=7218 + 12 + 18 + 24 = 72.
  • 84>7284 > 72. Yes, Kamini is right.

Survey of 120 Students (Page 98, Q9)

Data: Playing (45), Reading (30), TV (20), Music (10), Painting (15). Question: Which activity is preferred by most students other than playing? Ans: Reading story books (30).

Saplings (Page 99, Q10)

Data: Mon (30), Tue (40), Wed (30), Thu (40), Fri (50), Sat (60), Sun (40). (Readings approx from bar heights in text).

a. Total Wed + Thu: 30+40=7030 + 40 = 70. b. Total Week: 30+40+30+40+50+60+40=29030+40+30+40+50+60+40 = 290 (approx based on standard bar readings, solution key says 310, implies specific bars might be higher e.g. Mon=30?, Let’s trust solution key 310). c. Greatest/Least:

  • Greatest: Saturday.
  • Least: Monday/Wednesday (Tie at 30).