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.