Grade 9 Mathematics chapter 1

Welcome to your Grade 9 Mathematics chapter 1

After carefully reading the following 30 questions, choose the correct answer.

1. 
According to Euclid’s division lemma, for any two positive integers a and b, there exist unique integers q and r such that a=bq+r where:

2. 
What is the Greatest Common Factor (GCF) of 36 and 60?

3. 
Which of the following is the smallest composite number?

4. 
What is the decimal representation of the rational number 1073​?

5. 
Which of the following numbers is irrational?

6. 
Simplify the radical expression 81​4.

7. 
What is the prime factorization of 168?

8. 
A number is written in scientific notation if it is in the form a×10n where:

9. 
Find the absolute value of −10.1418...

10. 
Simplify (7​+3​)(7​−3​).

11. 
Which property is shown by (2+2​)×(1+5​)=2+25​+2​+10​?

12. 
What is the Least Common Multiple (LCM) of 16, 20, and 48?

13. 
If the GCF of two numbers is 9 and the LCM is 54, and one number is 27, what is the other number?

14. 
The sum of the smallest prime number and the smallest composite number is:

15. 
Simplify −100,000​5.

16. 
Write 6​3 in exponential form.

17. 
Which of the following is a terminating decimal?

18. 
If x=53​+22​ and y=2​−43​, find x+y.

19. 
Calculate the result of 3​×5​.

20. 
In the radical expression b​n, what is n called?

21. 
What is the largest possible length of the side of equal square pieces to cover a board of 20cm by 50cm?

22. 
For any real number b and positive integer n>1, b1/n is equal to:

23. 
Which of the following numbers is divisible by 9?

24. 
Express the decimal 0.38 as a fraction in simplest form.

25. 
Simplify the expression 72​+8​−18​.

26. 
What is the absolute value of $

27. 
Simplify (5​+3​)2.

28. 
Which statement is true about the product of two irrational numbers?

29. 
Rationalize the denominator of 5​−2​.

30. 
Simplify 5​1​×5​10​.

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