Class 6 Mathematics Exam

1. Simplify:

(a) a^3 \times a^5

(b) What is the base in x^m?

2. If a = 2, b = 3, c = 1, find the value of:

a^2 - 2ac + c^2

3. Which one is the value of a^7 \times a^8?

(a) a^{56} (b) a^{15} (c) 15 (d) 56

4. What is the index of x in x^5 \times x^4?

(a) 9 (b) x^9 (c) 20 (d) x^{20}

5. Find the difference:

(-20) - (-13)

6. What type of number represents the ground floor in the given diagram?

(a) Negative (b) Non-negative (c) Odd (d) Prime

7. Find the value:

(-7) - 8 - (-25)

8. Determine whether the statement is true or false:

-3 < 6

9. If x = 3, y = 5, z = 2, verify the equation:

(x+y)^2 = (x-y)^2 + 4xy

10. Show that:

y^2 - x^2 = (x+y)(y-x) for x = 3, y = 5.

11. Find the value:

(-13) + 32 - 8 -1

12. Fill in the blanks:

(a) (-3) + (-6) ____ (-3) - (-6)

(b) (-21) - (-10) ____ (-31) + (-11)

13. Using the number line, determine:

(a) The sum of -3 and 6.

(b) The difference of 9 and 6.

14. Identify whether 7a²bx and 8a²bx are similar or dissimilar terms. Explain.

15. Solve:

2x^2 \times y^2 \times 2z^2 \times 3y^2 \times 4x^2

16. Prove that:

(x+z)^2 = x^2 + 2xz + z^2 for x = 3, z = 2.

17. Find the value:

50 - (-40) - (-2)

18. Simplify:

5a \times 4b \times 2a \times 5c \times 3b

Instructor
BENOZIR AHAMED HRIDOY
University Of Rajshahi
B.Sc. in Applied Mathematics

Class 6 Mathematics Exam