Section A — Number System
1. Multiple Choice Questions (MCQs) (1 mark each)
1. The place value of 4 in 8,54,321 is
2. Which of the following is the smallest number?
3. The expanded form of 5,30,607 is
4. Which of the following is a multiple of both 5 and 3?
5. The predecessor of 5,00,000 is ______.
6. Which of the following is a cube?
7. LCM of 12 and 18 is
8. Which of the following is a prime number?
9. Which of the following numbers is divisible by 2, 5 and 10?
10. Which of the following is NOT a composite number?
2. Fill in the Blanks (1 mark each)
1. The smallest 7-digit number is ______.
2. The place value of 7 in 3,75,842 is ______.
3. One lakh = ______ thousands.
4. 8,00,000 + 50,000 + 700 + 8 is written as ______.
5. The greatest 5-digit number is ______.
Section B — Fractions & Decimals
3. True or False (1 mark each)
1. 2/7 is greater than 1/7. ( )
2. 0.45 is equal to 45/100. ( )
3. 9/12 is in simplest form. ( )
4. A decimal has a finite number of digits. ( )
5. 1.72 lies between 1.7 and 1.8. ( )
4. Match the Following (1 mark each)
| Column A | |
|---|---|
| 1. | 2/3 of 15 |
| 2. | 3.6 + 2.4 |
| 3. | 0.8 × 0.5 |
| 4. | 4/6 of 36 |
| 5. | 6.5 − 3.2 |
| Column B | |
|---|---|
| a) | 3.3 |
| b) | 24 |
| c) | 0.4 |
| d) | 6 |
| e) | 10 |
5. Very Short Answer Type Questions (2 marks each)
1. Write the decimal form of 3/5.
2. Arrange in ascending order: 0.34, 0.043, 0.304, 0.0433.
3. Write the fraction for: nine tenths.
4. Express 2.75 as a fraction in simplest form.
5. Find the sum: 4.68 + 3.27.
Section C — Ratio, Percentage & Profit & Loss
6. Solve the Following (2 marks each)
1. Simplify the ratio 18 : 27.
2. A class has 18 girls and 27 boys. What is the ratio of girls to boys?
3. 20% of 450.
4. A shopkeeper bought an article for ₹1,600 and sold it for ₹1,920. Find his profit.
5. If the price of a shirt is ₹700 and there is a discount of 12%, find the discount amount.
7. Do As Directed (2 marks each)
1. Express 7/8 in the form of a decimal.
2. A number is increased by 25%. If the number is 200, find the increased number.
3. Find the selling price if the cost price is ₹1,350 and the profit is 15%.
8. Think & Solve (Word Problems) (4 marks each)
1. In a class of 48 students, 1/4 of the students like football and 1/6 like basketball. How many students like football? How many like basketball?
2. A shopkeeper buys an article for ₹750 and sells it at a loss of 8%. Find the selling price.
Section D — Geometry & Measurement
9. Answer the Following (2 marks each)
1. Find the perimeter of a rectangle whose length is 15 cm and breadth is 6 cm.
2. Find the area of a square whose side is 13 m.
3. Convert 6 m 25 cm into centimetres.
4. Convert 2 hours 25 minutes into minutes.
5. The length of a room is 8 m 40 cm and the breadth is 5 m 60 cm. Find its perimeter.
10. Draw & Label (2 marks each)
1. Draw a line segment AB of length 7.2 cm.
2. Draw a circle and show its centre O and a radius of 4.5 cm.
Section E — Data Handling & Logical Reasoning
11. Study the Bar Graph and Answer the Questions (1 mark each)
1. Who scored the highest marks?
2. How many marks did Kabir score?
3. How many marks did Neha score?
4. How many more marks did Riya score than Aman?
5. Find the total marks scored by all.
12. Master Challenge (2 marks)
1. A number when divided by 8 leaves remainder 5. When the same number is divided by 6, it leaves remainder 3. What is the smallest such number?