CLASS 5 — MATHEMATICS

ANNUAL EXAMINATION — ANSWER KEY

SECTION A — MCQs [15 MARKS]

Q1.
(a) (iv) 7,000
(b) (iii) 1,00,000
(c) (iii) 15
(d) (iv) 4/5
(e) (ii) 4.25
(f) (ii) 100
(g) (iii) Acute
(h) (iii) 24 cm
(i) (iv) 1,000 g
(j) (iii) 150 minutes
(k) (ii) 4,560
(l) (ii) 80
(m) (ii) 6
(n) (ii) L
(o) (ii) ₹500

SECTION B — VERY SHORT ANSWERS [20 MARKS]

Q2.

(a) 7,05,309 = Seven lakh five thousand three hundred nine.

(b) 8,765 + 4,398 = 13,163

(c) 12,000 − 7,856 = 4,144

(d) 246 × 35
= 246 × (30 + 5)
= 7,380 + 1,230
= 8,610

(e) 8,736 ÷ 24 = 364

(f) One equivalent fraction of 3/5 is 6/10.

(g) 3.75 m = 375 cm

(h) Perimeter = 2 × (length + breadth)
= 2 × (12 + 5)
= 34 cm

(i) 2 kg 250 g = 2,250 g

(j) 4:45 p.m. = 16:45 hours

SECTION C — SHORT ANSWERS [30 MARKS]

Q3.

(a) Ascending order:
45,678 < 45,786 < 54,678 < 54,876

(b) 4,567 × 28
= 4,567 × (20 + 8)
= 91,340 + 36,536
= 1,27,876

(c) 9,875 ÷ 36
= Quotient = 274, Remainder = 11

(d) 2/3 + 1/6
= 4/6 + 1/6
= 5/6

(e) 7/8 − 3/8
= 4/8 = 1/2

(f) 12.75 + 8.60 + 3.45
= 24.80

(g) 8 m 75 cm − 3 m 50 cm
= 5 m 25 cm

(h) Area = length × breadth
= 15 × 8
= 120 cm²

(i) 7:35 a.m. to 11:20 a.m.
= 3 hours 45 minutes
Answer: 3 hours 45 minutes

(j)
• Acute angle — less than 90°
• Right angle — exactly 90°
• Obtuse angle — more than 90° and less than 180°
(Student should draw and label the three angles.)

SECTION D — WORD PROBLEMS [20 MARKS]

Q4.

(a) Total sold = 8,765 + 6,438 = 15,203
Pencils left = 25,000 − 15,203 = 9,797 pencils

(b) 48 × 125
= 6,000 notebooks

(c) 2/5 of ₹500 = ₹500 × 2/5 = ₹200
Money remaining = ₹500 − ₹200 = ₹300

(d) Length = 25 m, Breadth = 18 m
Perimeter = 2 × (25 + 18) = 86 m
Area = 25 × 18 = 450 m²

(e) 2 kg 750 g + 1 kg 500 g + 750 g
= 2 kg + 1 kg + 4 kg?
750 g + 500 g + 750 g = 2,000 g = 2 kg
Total = 5 kg

SECTION E — DATA HANDLING & MATHEMATICAL REASONING [15 MARKS]

Q5.

Books read: Aman 6, Riya 9, Mohit 5, Sara 8, Kavya 7.

(a) Most: Riya
(b) Least: Mohit
(c) Total = 6 + 9 + 5 + 8 + 7 = 35 books
(d) 9 − 5 = 4 books

Q6.

Length = 12 m, Breadth = 8 m

(a) Perimeter = 2 × (12 + 8) = 40 m

(b) Area = 12 × 8 = 96 m²

(c) 96 × 4 = 384 tiles

Q7.

5 kg = 5,000 g
5,000 − 2,750 = 2,250 g = 2 kg 250 g

(a) 2 kg 250 g left.

(b) 2,250 ÷ 5 = 450 g per bag

SECTION F — CASE-BASED / COMPETENCY [10 MARKS]

Q8.

(a) 18 + 22 = 40 km per day

(b) 40 × 5 = 200 km

(c) 250 − 180 = 70 km

Q9.

(a) Total spent = ₹650 + ₹425 + ₹275
= ₹1,350

(b) Money left = ₹2,000 − ₹1,350
= ₹650

(c) ₹650 ÷ 2 = ₹325 each

FINAL ANSWERS AT A GLANCE

Section A:
7,000; 1,00,000; 15; 4/5; 4.25; 100; Acute; 24 cm; 1,000 g; 150 min; 4,560; 80; 6; L; ₹500.

Section B:
7,05,309 in words; 13,163; 4,144; 8,610; 364; 6/10; 375 cm; 34 cm; 2,250 g; 16:45.

Section C:
45,678, 45,786, 54,678, 54,876; 1,27,876; 274 R11; 5/6; 1/2; 24.80; 5 m 25 cm; 120 cm²; 3 h 45 min; angle drawings.

Section D:
9,797; 6,000; ₹200 spent and ₹300 left; 86 m and 450 m²; 5 kg.

Section E:
Riya; Mohit; 35; 4; 40 m; 96 m²; 384 tiles; 2 kg 250 g; 450 g.

Section F:
40 km; 200 km; 70 km; ₹1,350; ₹650; ₹325 each.