Class 6 – Mathematics Question Paper

Time: 3 Hours Maximum Marks: 80

Section A – MCQs (1 × 10 = 10 Marks)

Choose the correct option:

1. The smallest 6-digit number is:

   a) 99999

   b) 100000

   c) 10000

   d) 100001

2. The predecessor of 1000 is:

   a) 1001

   b) 999

   c) 998

   d) 1002

3. Which of the following is a prime number?

   a) 21

   b) 39

   c) 29

   d) 51

4. The additive identity for integers is:

   a) 1

   b) 0

   c) –1

   d) 10

5. Equivalent fraction of 2/3 is:

   a) 4/5

   b) 6/9

   c) 3/5

   d) 5/6

6. 0.75 as a fraction is:

   a) 3/4

   b) 75/10

   c) 7/5

   d) 1/4

7. The mean of 2, 4, 6 is:

   a) 3

   b) 4

   c) 5

   d) 6

8. If x = 5, then 2x + 3 =

   a) 10

   b) 13

   c) 15

   d) 8

9. If 3x = 18, then x =

   a) 3

   b) 6

   c) 9

   d) 12

10. Perimeter of a square of side 5 cm is:

    a) 10 cm

    b) 15 cm

    c) 20 cm

    d) 25 cm

Section B – Fill in the Blanks (1 × 10 = 10 Marks)

1. 1 lakh = __________

2. The successor of 999 is __________

3. 1 is neither __________ nor __________

4. –5 lies to the __________ of 0 on the number line.

5. 5/8 + 1/8 = __________

6. 0.5 + 0.25 = __________

7. The mode is the value that occurs most __________.

8. The variable in 7a + 2 is __________.

9. In ratio 4 : 5, 4 is called __________.

10. Area of rectangle = __________ × __________

Section C – Very Short Answer Questions (2 × 5 = 10 Marks)

1. Write the place value of 7 in 3,75,421.

2. Find HCF of 12 and 18.

3. Arrange in ascending order: –2, 4, –5, 0

4. Convert 3/5 into decimal form.

5. Find the mean of 10, 20, 30, 40.

Section D – Short Answer Questions (3 × 5 = 15 Marks)

1. Find LCM of 24 and 36 using prime factorization.

2. Add: 5/6 + 7/12

3. Subtract: 5.4 – 2.75

4. Solve: 4x = 28

5. Find the perimeter of a rectangle of length 12 cm and breadth 8 cm.

Section E – Long Answer Questions (5 × 4 = 20 Marks)

1. A school library has 12,75,450 books. Write the number in words (Indian system and International system).

2. A shopkeeper sells 3/4 kg sugar in the morning and 2/3 kg in the evening. How much sugar is sold in total?

3. The marks obtained by 5 students are 45, 60, 75, 80, 40.

   a) Find the mean marks.

   b) Find the range.

4. In a class, the ratio of boys to girls is 3 : 2. If there are 30 boys, find the number of girls using unitary method.

Section F – Constructions (2 × 5 = 10 Marks)

1. Draw a line segment of length 6 cm. Construct its perpendicular bisector.

2. Construct an angle of 60° using compass and ruler.

Section G – HOTS (Higher Order Thinking Skills) (1 × 5 = 5 Marks)

1. A rectangular garden has length 25 m and breadth 20 m. A path of 2 m width is built inside all around the boundary. Find the area of the path.

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