Grade 9 Mathematics Questions and Answers
A free sample of Grade 9 Mathematics practice questions with the correct answer and an explanation, following the Lebanese curriculum. Useful for revision before school tests and the Brevet.
أسئلة الرياضيات للصف 9 مع الأجوبة والشرح وفق المنهج اللبناني.
How to use this page: read each question, try to answer it yourself, then open the answer to check your reasoning. Questions are grouped by the chapter they belong to on EduRise, in the order of the Lebanese Grade 9 Mathematics programme.
15 Grade 9 Mathematics practice questions
Chapter: Rational and Irrational Numbers; the Set of Real Numbers · easy
1. The number 0.475 is:
- A. a negative integer
- B. a rational number that is not an integer
- C. a natural number
- D. an irrational number
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Answer: a rational number that is not an integer
Explanation: It can be written a/b with integers a, b (finite or periodic decimal) but it is not an integer.
Chapter: Rational and Irrational Numbers; the Set of Real Numbers · easy
2. The number √100 is:
- A. a rational number that is not an integer
- B. an irrational number
- C. a negative integer
- D. a natural number
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Answer: a natural number
Explanation: It is a natural number (0, 1, 2, 3…), so it is also an integer, a rational and a real.
Chapter: Calculation on Real Numbers: Simplifying Square Roots · easy
3. 5√2 + 9√2 = ?
- A. 45√2
- B. 14
- C. 14√2
- D. 14√4
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Answer: 14√2
Explanation: Like radicals: (5 + 9)√2 = 14√2.
Chapter: Calculation on Real Numbers: Simplifying Square Roots · easy
4. √32 / √2 = ?
- A. 2
- B. 17
- C. 4
- D. 16
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Answer: 4
Explanation: √32 / √2 = √(32/2) = √16 = 4.
Chapter: Rationalizing the Denominator of a Numerical Fraction · easy
5. What is the conjugate of 2 + √10?
- A. −2 + √10
- B. 2 + √100
- C. 2 − √10
- D. −2 − √10
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Answer: 2 − √10
Explanation: The conjugate changes the sign between the two terms: 2 − √10. Their product is 2² − 10 = -6.
Chapter: Rationalizing the Denominator of a Numerical Fraction · easy
6. (9 − √7)(9 + √7) = ?
- A. 88
- B. 18
- C. 2
- D. 74
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Answer: 74
Explanation: (x − y)(x + y) = x² − y²: 9² − (√7)² = 81 − 7 = 74.
Chapter: Linear Functions and Proportionality · easy
7. The graph of f(x) = 0.5x is:
- A. a straight line that does not pass through O
- B. a straight line through O rising from left to right
- C. a straight line through O falling from left to right
- D. the x-axis itself (horizontal line through O)
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Answer: a straight line through O rising from left to right
Explanation: Every linear function passes through O; a = 0.5 > 0 → rising.
Chapter: Linear Functions and Proportionality · easy
8. Apples cost 5 $ per kg. Cost of 3 kg? (f(x) = 5x)
- A. 8
- B. 15
- C. 30
- D. 24
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Answer: 15
Explanation: f(3) = 5 × 3 = 15 $.
Chapter: Algebraic Expressions Having Radicals · easy
9. (√7 − √6)(√7 + √6) = ?
- A. -1
- B. 42
- C. 13
- D. 1
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Answer: 1
Explanation: (√7)² − (√6)² = 7 − 6 = 1.
Chapter: Algebraic Expressions Having Radicals · easy
10. (√11 − 6)(√11 + 6) = ?
- A. -1
- B. 5
- C. -25
- D. 47
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Answer: -25
Explanation: (√11)² − 6² = 11 − 36 = −25.
Chapter: Polynomial in One Variable · easy
11. P(x) = 3x³ − 3x² − 8x + 1. What is the coefficient of x?
- A. 3
- B. 1
- C. -8
- D. -3
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Answer: -8
Explanation: Reading the coefficients of 3x³ − 3x² − 8x + 1: x³ → 3, x² → −3, x → −8, constant → 1.
Chapter: Polynomial in One Variable · easy
12. What is the degree of P(x) = x⁴ + 4x²?
- A. 4
- B. 3
- C. 1
- D. 2
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Answer: 4
Explanation: The degree is the highest exponent of x: 4.
Chapter: Fractional Expressions · easy
13. Value of (x + 6)/(x + 7) for x = 6:
- A. 12/13
- B. 13/12
- C. 12/7
- D. −12/13
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Answer: 12/13
Explanation: (6 + 6)/(6 + 7) = 12/13 = 12/13.
Chapter: Fractional Expressions · hard
14. Solve: 4/x = 6/(x + 4)
- A. x = 8/5
- B. x = −8
- C. x = 8
- D. x = 4
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Answer: x = 8
Explanation: Conditions x ≠ 0, x ≠ −4. Cross-multiply: 4(x + 4) = 6x → 16 = 2x → x = 8.
Chapter: Equations of the Form x² = a and Product Equations · easy
15. Solve: x² = 100.
- A. x = 10
- B. x = 100 or x = −100
- C. x = 10 or x = −10
- D. x = 50
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Answer: x = 10 or x = −10
Explanation: x² = 100 > 0 has two solutions: √100 = 10 and −10.
More practice
These are sample questions only. The full Grade 9 Mathematics course on EduRise includes every chapter, lessons, 2,287 questions and timed exams.
Mathematics questions in other grades
Other Grade 9 subjects
See also: Grade 9 Mathematics chapters · All question pages · Study guides
About these questions
Where do these Grade 9 Mathematics questions come from?
They are a sample from EduRise's Grade 9 Mathematics question bank (2,287 questions across 22 chapters), written to follow the Lebanese curriculum. Each chapter on EduRise has its own practice set and a timed exam.
Are the answers explained?
Yes. Every question on EduRise shows the correct answer and an explanation after you answer, in practice mode and in the exam review.
How do I get the full question bank?
Register at edurise.me and subscribe ($10/month) to practise every chapter of Grade 9 Mathematics, take the timed exams and track your progress.
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