Section A — Number System
1. Multiple Choice Questions (MCQs) (1 mark each) — Answer all questions.
1. The smallest natural number is
2. What is the place value of 6 in 57,682?
3. Which of the following is a prime number?
4. HCF of 18 and 24 is
5. LCM of 12 and 15 is
6. Which of the following is a rational number?
7. 3/4 in decimal form is
8. 20% of 150 is
9. Which of the following is a right angle?
10. Which of the following is a cube?
2. Fill in the Blanks (1 mark each)
1. The predecessor of 1,00,000 is ______.
2. The value of 8 in 8,34,567 is ______.
3. A fraction with numerator smaller than denominator is called a ______ fraction.
4. 2.5 × 100 = ______.
5. A circle has ______ corners.
Section B — Whole Numbers
3. True or False (1 mark each)
1. Zero is a natural number. ( )
2. All prime numbers are odd. ( )
3. The HCF of two consecutive numbers is always 1. ( )
4. 0.999... = 1. ( )
5. A square has 4 sides of equal length. ( )
4. Match the Following (1 mark each)
| Column A | |
|---|---|
| 1. | LCM of 6 and 8 |
| 2. | HCF of 24 and 36 |
| 3. | 75% of 200 |
| 4. | 2 1/2 in improper fraction |
| 5. | 3/5 in decimal form |
| Column B | |
|---|---|
| a) | 0.6 |
| b) | 12 |
| c) | 24 |
| d) | 150 |
| e) | 5/2 |
5. Very Short Answer Type Questions (2 marks each)
1. Write the first five prime numbers.
2. Write the place value of 7 in 4,75,321.
3. Express 48 as a product of its prime factors.
4. Write the equivalent fraction of 2/3 with denominator 9.
5. Convert 4.75 into a fraction.
6. Short Answer Type Questions (2 marks each — 4 questions)
1. Add: 3,45,678 + 2,34,567.
2. Subtract: 7,85,420 − 3,26,789.
3. Find the HCF and LCM of 12 and 18.
4. Convert 2 3/5 into an improper fraction.
Section C — Fractions & Decimals
7. Do As Directed (2 marks each)
1. Arrange in ascending order: 0.58, 0.85, 0.5, 0.805.
2. Simplify: 15/20.
3. Add: 3/7 + 2/7.
4. Subtract: 5/6 − 1/3.
5. Multiply: 2.5 × 0.4.
8. Solve the Following (2 marks each)
1. A ribbon of length 7 1/2 m is cut into pieces of 1 1/2 m each. How many pieces are cut?
2. A box contains 3.75 kg of apples. Another box has 2.5 kg. What is the total weight?
3. Anjali spent 2/5 of her money and saved the rest. If she saved ₹300, how much did she have?
4. Convert 4 2/5 into decimal form.
5. Write three fractions equivalent to 2/5.
9. Solve (Word Problems) (4 marks each)
1. A school has 3,600 students. 5/9 of them are girls. How many boys are there?
2. A rectangle has length 18 cm and breadth 12 cm. a) Find its perimeter. b) Find its area.
3. A shopkeeper has 240 pencils. He packs them equally in 15 boxes. a) How many pencils are there in each box? b) If he sells a box for ₹80, how much money will he get by selling all?