KENDRIYA VIDYALAYA SANGATHAN
CLASS 7 MATHEMATICS (GANITA PRAKASH)
PERIODIC TEST 1 (PT-1) SAMPLE PAPERS & COMPLETE ANSWER KEYS
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MARKS BLUEPRINT & CHAPTER BREAKDOWN
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Time Allowed: 90 Minutes
Maximum Marks: 40
Section | Question Type | No. of Qs | Marks per Q | Total Marks
--------|--------------------------------|-----------|-------------|------------
Sec A | Multiple Choice Questions (MCQ)| 5 | 1 | 5
Sec B | Very Short Answer (VSA) | 4 | 2 | 8
Sec C | Short Answer (SA) | 4 | 3 | 12
Sec D | Long Answer / Case-Based (LA) | 3 | 5 | 15
TOTAL | | 16 | | 40 Marks
Chapter Weightage:
- Chapter 1: Large Numbers Around Us (~13 Marks)
- Chapter 2: Arithmetic Expressions (~13 Marks)
- Chapter 3: A Peek Beyond the Point (~14 Marks)
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SAMPLE PAPER 1
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SECTION A: Multiple Choice Questions (1 Mark Each)
Q1. What is 1 crore written in numbers as per the Indian System of Numeration?
(a) 10,000
(b) 1,00,000
(c) 10,00,000
(d) 1,00,00,000
Q2. Which of the following equals the fraction 7/10 in decimal form?
(a) 7.0
(b) 0.7
(c) 0.07
(d) 70.0
Q3. According to the order of operations (BODMAS), which operation should be
performed FIRST in the expression 15 - (4 + 2) x 2?
(a) Subtraction
(b) Addition inside brackets
(c) Multiplication
(d) Subtraction from 15
Q4. How many one-tenths make 1 whole unit?
(a) 1
(b) 10
(c) 100
(d) 0.1
Q5. Estimation of 4,892 + 3,105 rounded off to the nearest thousand is:
(a) 7,000
(b) 8,000
(c) 8,500
(d) 9,000
SECTION B: Very Short Answer Questions (2 Marks Each)
Q6. Insert commas according to the Indian System of Numeration and write the
number name for: 85432109
Q7. Simplify the expression step-by-step: 25 - [10 + (8 - 3)]
Q8. Convert the mixed fraction 4 (3/10) into a decimal and write its expansion
in terms of units and one-tenths.
Q9. State whether the following statement is True or False, and give a reason:
"Changing the order of numbers in subtraction does not change the result."
SECTION C: Short Answer Questions (3 Marks Each)
Q10. The population of three towns in a district are 2,45,600, 1,89,750, and 3,12,400.
(a) Find the total population of the district.
(b) How much greater is the population of the largest town compared to the
smallest town?
Q11. Solve the following arithmetic expressions:
(a) 18 + 6 / 3 - 2 x 4
(b) 5 x (12 - 4) / 2
Q12. Arrange the following numbers in increasing (ascending) order:
4(1/10), 4/10, 41/10, 41(1/10)
Q13. A piece of cloth measures 12(4/10) meters. A tailor cuts away 6(7/10) meters
from it. Calculate the length of the remaining cloth piece.
SECTION D: Long Answer / Case-Based Questions (5 Marks Each)
Q14. (Case Study - Large Numbers in Daily Life)
A state library has 1,25,000 books in total. Out of these, 45,230 are in
English, 38,900 are in Hindi, and the rest are regional language books.
(a) Find the number of regional language books in the library. (2 Marks)
(b) Express the total number of books (1,25,000) in expanded form. (1.5 Marks)
(c) Round off the total number of English books (45,230) to the nearest hundred. (1.5 Marks)
Q15. (Order of Operations)
(a) Simplify completely: 100 - {20 + 2 x (15 - 5)} (3 Marks)
(b) Frame a mathematical expression using brackets for the given phrase,
and then solve it: "Subtract 4 from 10, then multiply the result by 6." (2 Marks)
Q16. (Measurement & Decimal Application)
Sonu is measuring different stationery items using a ruler divided into tenths:
- Pencil length = 3 units and 4 one-tenths
- Eraser length = 1 unit and 8 one-tenths
- Sharpener length = 2 units and 5 one-tenths
(a) Write the length of each item as a fractional expression and convert
each to decimal form. (3 Marks)
(b) Find the total combined length of the pencil and the sharpener. (2 Marks)
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ANSWER KEY & SOLUTIONS — SAMPLE PAPER 1
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SECTION A:
Q1. (d) 1,00,00,000
Q2. (b) 0.7
Q3. (b) Addition inside brackets
Q4. (b) 10
Q5. (b) 8,000 [4,892 -> 5,000; 3,105 -> 3,000; Sum = 8,000]
SECTION B:
Q6. Commas: 8,54,32,109
Number Name: Eight crore fifty-four lakh thirty-two thousand one hundred nine.
Q7. 25 - [10 + (8 - 3)] = 25 - [10 + 5] = 25 - 15 = 10.
Q8. Decimal: 4.3. Expansion: 4 units + 3 one-tenths = 4 + 3/10.
Q9. False. Subtraction is not commutative (e.g., 8 - 3 = 5, but 3 - 8 = -5).
SECTION C:
Q10. (a) Total = 2,45,600 + 1,89,750 + 3,12,400 = 7,47,750
(b) Difference = 3,12,400 - 1,89,750 = 1,22,650
Q11. (a) 18 + 2 - 8 = 12
(b) 5 x 8 / 2 = 20
Q12. In decimal form: 4/10 = 0.4, 4(1/10) = 4.1, 41/10 = 4.1, 41(1/10) = 41.1.
Ascending order: 4/10 < 4(1/10) = 41/10 < 41(1/10)
Q13. Remaining cloth = 124/10 - 67/10 = 57/10 = 5.7 meters (or 5 7/10 m).
SECTION D:
Q14. (a) Regional books = 1,25,000 - (45,230 + 38,900) = 1,25,000 - 84,130 = 40,870
(b) Expanded form: (1 x 1,00,000) + (2 x 10,000) + (5 x 1,000)
(c) 45,230 rounded to nearest hundred = 45,200
Q15. (a) 100 - {20 + 2 x 10} = 100 - {20 + 20} = 100 - 40 = 60
(b) Expression: (10 - 4) x 6 = 6 x 6 = 36
Q16. (a) Pencil: 3(4/10) = 3.4 units; Eraser: 1(8/10) = 1.8 units; Sharpener: 2(5/10) = 2.5 units
(b) Total = 3.4 + 2.5 = 5.9 units.
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SAMPLE PAPER 2
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SECTION A: Multiple Choice Questions (1 Mark Each)
Q1. What is the face value of the digit 7 in the number 5,73,82,109?
(a) 70,00,000
(b) 7,00,000
(c) 7
(d) 70,000
Q2. Which of the following fractions represents 0.05 in its simplest form?
(a) 1/5
(b) 1/20
(c) 5/10
(d) 1/50
Q3. What is the value of 30 - 5 x 4 + 2?
(a) 102
(b) 12
(c) 10
(d) 20
Q4. Place value of 3 in the number 12.435 is:
(a) 3 tens
(b) 3 tenths
(c) 3 hundredths
(d) 3 thousandths
Q5. According to the International System of Numeration, 6,504,321 is read as:
(a) Sixty-five lakh four thousand three hundred twenty-one
(b) Six million five hundred four thousand three hundred twenty-one
(c) Sixty-five million four thousand three hundred twenty-one
(d) Six hundred fifty thousand four hundred thirty-one
SECTION B: Very Short Answer Questions (2 Marks Each)
Q6. Form the largest and smallest 7-digit numbers using digits 4, 0, 9, 1, 6, 2, 8 without repetition.
Q7. Simplify using BODMAS rule: 48 / (12 - 4) + 3 x 2
Q8. Write as decimals:
(a) 200 + 30 + 5 + 6/10 + 2/100
(b) 7 + 9/100
Q9. Insert brackets in the expression 8 + 12 / 4 - 2 so that its value becomes 3.
SECTION C: Short Answer Questions (3 Marks Each)
Q10. A sugar factory produced 38,45,200 kg in Year 1, 42,10,800 kg in Year 2, and 35,90,500 kg in Year 3.
(a) Find total production over 3 years.
(b) Round off Year 2 production to the nearest lakh.
Q11. Solve: 50 - {15 + [18 / (9 - 3)]}
Q12. Arrange in descending order: 3.04, 3.40, 3.44, 0.34, 3.004
Q13. A wire of length 15(5/10) cm is bent into three segments. Two segments measure
4(2/10) cm and 5(7/10) cm. Find the length of the third segment in decimal form.
SECTION D: Long Answer / Case-Based Questions (5 Marks Each)
Q14. Ticket sales: Event A = 62,840; Event B = 84,190; Event C = 45,610.
(a) Estimate total ticket sales by rounding each to nearest thousand. (2 Marks)
(b) Find actual total and difference from estimated total. (2 Marks)
(c) Write actual total in expanded notation. (1 Mark)
Q15. (a) Evaluate: 120 / [2 x {18 - (10 - 2)}] (3 Marks)
(b) Write a word problem corresponding to (15 + 25) / 5. (2 Marks)
Q16. Recipe ingredients: Flour = 2 kg and 4 tenths; Sugar = 1 kg and 75 hundredths; Butter = 8 tenths kg.
(a) Express each in decimals. (3 Marks)
(b) Find total combined mass in kg. (2 Marks)
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ANSWER KEY & SOLUTIONS — SAMPLE PAPER 2
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SECTION A:
Q1. (c) 7
Q2. (b) 1/20
Q3. (b) 12
Q4. (c) 3 hundredths
Q5. (b) Six million five hundred four thousand three hundred twenty-one
SECTION B:
Q6. Largest: 98,64,210; Smallest: 10,24,689
Q7. 48 / 8 + 3 x 2 = 6 + 6 = 12
Q8. (a) 235.62; (b) 7.09
Q9. (8 + 12) / 4 - 2 = 20 / 4 - 2 = 5 - 2 = 3
SECTION C:
Q10. (a) Total = 1,16,46,500 kg; (b) Year 2 rounded to nearest lakh = 42,00,000 kg
Q11. 50 - {15 + [18 / 6]} = 50 - {15 + 3} = 50 - 18 = 32
Q12. Descending order: 3.44 > 3.40 > 3.04 > 3.004 > 0.34
Q13. Combined 2 segments = 4.2 + 5.7 = 9.9 cm. Third segment = 15.5 - 9.9 = 5.6 cm.
SECTION D:
Q14. (a) Estimated: 63,000 + 84,000 + 46,000 = 1,93,000 tickets
(b) Actual total = 1,92,640 tickets; Difference = 360 tickets
(c) Expanded form: (1 x 1,00,000) + (9 x 10,000) + (2 x 1,000) + (6 x 100) + (4 x 10)
Q15. (a) 120 / [2 x {18 - 8}] = 120 / [2 x 10] = 120 / 20 = 6
(b) Word problem: "15 boys and 25 girls participate in a quiz divided into 5 equal teams. How many students in each team?"
Q16. (a) Flour = 2.4 kg, Sugar = 1.75 kg, Butter = 0.8 kg
(b) Total mass = 2.40 + 1.75 + 0.80 = 4.95 kg.
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