CBSEKVSAMPLEPAPER: Math half yearly sample paper 2

Class 7 Mathematics Half-Yearly Sample Paper

👨‍🎓 Student Details

Name Class & Section Roll Number

SECTION A – VERY SHORT ANSWER QUESTIONS
10 × 1 = 10 Marks

Q1. Choose the smallest six-digit number.

☐ A) 99,999 ☐ B) 1,00,000 ☐ C) 1,00,001 ☐ D) 9,99,999

Q2. How many zeroes are there in one crore?

☐ A) 5 ☐ B) 6 ☐ C) 7 ☐ D) 8

Q3. In Roman numerals, L represents:

☐ A) 10 ☐ B) 50 ☐ C) 100 ☐ D) 500

Q4. Find the predecessor of 1000.

☐ A) 999 ☐ B) 1001 ☐ C) 990 ☐ D) 998

Q5. In 30 + 5 × 4, which operation should be performed first?

☐ A) Addition ☐ B) Subtraction ☐ C) Division ☐ D) Multiplication

Q6. Find: 5 × 2 + 3

☐ A) 10 ☐ B) 13 ☐ C) 15 ☐ D) 25

Q7. 1 metre = ?

☐ A) 10 cm ☐ B) 100 cm ☐ C) 1000 cm ☐ D) 1 cm

Q8. If C = 50, find 18C.

☐ A) 68 ☐ B) 850 ☐ C) 900 ☐ D) 950

Q9. Which is correctly written according to the Indian place-value system?

☐ A) 12,34,567 ☐ B) 1,234,567 ☐ C) 123,45,67 ☐ D) 12,345,67

Q10. Find the place value of 7 in 1,07,000.

☐ A) 7,000 ☐ B) 70,000 ☐ C) 700 ☐ D) 7

SECTION B – SHORT ANSWER QUESTIONS
5 × 2 = 10 Marks

Q11. Write in words:

a) 3,600
b) 7,53,138

Q12. Write the formula for the perimeter of:
a) An equilateral triangle of side a.
b) A regular hexagon of side a.

Q13. Insert >, < or =.

a) 245 ___ 246
b) 273 − 145 ___ 272 − 144

Q14. Express as mixed numbers:
a) Eraser = 2 whole units and 4/10 unit
b) Pencil = 4 whole units and 5/10 unit

Q15. Calculate:
a) 2 × 768 × 50
b) 25 × 240

SECTION C – SHORT ANSWER QUESTIONS
5 × 3 = 15 Marks

Q16. Complete the pattern:

8 2/10, 8 7/10, 9 2/10, ________, ________

Explain the pattern.

Q17. Using each digit from 0 to 9 exactly once, form the largest 10-digit number divisible by 5.

Explain why the number is divisible by 5.

Q18. Evaluate 95 × 8 without direct multiplication.

Q19. Convert:
a) ₹0.05 into rupees.
b) 0.01 kg into grams.

Q20. Simplify:

4(x + y) − y

Show all steps.

SECTION D – APPLICATION QUESTIONS
3 × 3 = 9 Marks

Q21. The Statue of Unity is 180 metres high. If one coin has a thickness of 1 mm, how many such coins placed one above another would reach 180 metres?

Q22. Manu earns ₹20,000 per month. She spends ₹5,000 on rent, ₹5,000 on food and ₹2,000 on other expenses.

a) Find her monthly savings.
b) Find her savings in one year.

Q23. A calculator has two buttons: 10,000 and 100.

Write expressions showing the number of button clicks required to make:
a) 20,800
b) 92,100

SECTION E – CASE STUDY QUESTIONS
3 × 6 = 18 Marks

📊 Q24. Case Study – Weekly Mango Supply

A fruit market operates all seven days of the week. Rahim supplies 9 kg of mangoes every day and Shyam supplies 11 kg every day.

a) How many kilograms does Rahim supply in one week? (2)

b) How many kilograms does Shyam supply in one week? (2)

c) How many kilograms do they supply together? (2)

🐌 Q25. Case Study – A Snail's Climb

A snail climbs 3 cm during the daytime and slips 2 cm during the night. The pole is 10 cm high.

a) Find the net progress in one complete day and night. (2)

b) Where will it reach after seven complete days and nights? (2)

c) On which day will it reach the top? Explain. (2)

🏙️ Q26. Case Study – Population

City	2001	2011
Mumbai	11,978,450	12,442,373
New Delhi	9,879,172	11,034,555
Bengaluru	4,301,326	8,443,675
Hyderabad	3,637,483	6,809,970
Ahmedabad	4,525,013	5,577,940

a) What was Hyderabad's population in 2001? (2)

b) Which city's population approximately doubled? (2)

c) Which city had the largest population in 2011? (2)

SECTION F – CASE STUDY
8 Marks

🔵 Q27. Marble Collection

Raja initially has 123 marbles and buys 125 more. Joy initially has 122 marbles and buys 128 more.

a) Write an expression for Raja's total collection. (2)

b) Write an expression for Joy's total collection. (2)

c) Who has more marbles? (1)

d) By how many marbles? (1)

e) Without doing the complete calculation, explain logically why one collection is larger. (2)

💡 ANSWER HINTS – CHECK AFTER COMPLETING THE PAPER

Q1: A six-digit number begins with 1; choose the smallest possible digits after it.
Q2: Recall the place-value name “crore”.
Q3: Remember the standard value of Roman numeral L.
Q4: Predecessor means one less than the given number.
Q5: Follow BODMAS; multiplication comes before addition.
Q6: Multiply first and then perform addition.
Q7: Recall the conversion between metres and centimetres.
Q8: Replace C with 50 and multiply.
Q9: Indian place-value commas follow groups of three and then two digits.
Q10: Count the place of 7 from the right.
Q11: Read the number according to the Indian place-value system.
Q12: Perimeter is the sum of all sides. For equal sides, multiply the number of sides by the side length.
Q13: Compare the two numbers after simplifying the expressions.
Q14: A mixed number contains a whole-number part and a proper fraction.
Q15: Rearrange factors to make 100. Useful facts: 2 × 50 = 100 and 25 × 4 = 100.
Q16: Find the constant difference between consecutive terms.
Q17: A number divisible by 5 ends in 0 or 5. For the largest number, arrange the remaining digits in descending order.
Q18: Rewrite 95 as 100 − 5 and then multiply by 8.
Q19: Use ₹1 = 100 paise and 1 kg = 1000 g.
Q20: Distribute 4 over the bracket and combine like terms.
Q21: First convert 180 metres into millimetres. Then divide by the thickness of one coin.
Q22: Monthly saving = income − total expenditure. Multiply monthly saving by 12 for annual saving.
Q23: Express the required number using multiples of 10,000 and 100.
Q24: Weekly supply = daily supply × 7.
Q25: Net progress is daytime climb minus nighttime slip. Remember that on the final day the snail reaches the top before slipping.
Q26: Read the table carefully. Compare the 2001 and 2011 populations and identify the largest 2011 value.
Q27: Write each person's initial collection plus additional marbles. Compare the initial difference with the difference in additional marbles.

CBSEKVSAMPLEPAPER

Math half yearly sample paper 2

📘 CLASS VII – MATHEMATICS

HALF-YEARLY EXAMINATION – SAMPLE PAPER