Grade 9 Math practice sheet
Nova Scotia Curriculum · from Gradelings · Name: ______________________
Question 1
What is 9³?
answer box
729
Hint: 9³ = 9 × 9 × 9 = 729.
Question 2
1/6 + 3/4 = ?
- 11/12
- 2/5
- -11/12
- 1
- -7/12
11/12
Hint: Use the common denominator 12: 2/12 + 9/12 = 11/12, which is 11/12 in lowest terms.
Question 3
What is the slope of the line through (2, 0) and (3, 2)?
answer box
2
Hint: slope = rise ÷ run = (2 − 0) ÷ (3 − 2) = 2 ÷ 1 = 2.
Question 4
Solve for x: 6(x + 4) = 18
answer box
-1
Hint: Divide both sides by 6: x + 4 = 3. Subtract 4: x = −1.
Question 5
Classify the polynomial 4x² + 7 by its number of terms.
- trinomial
- binomial
- quadrinomial
- monomial
binomial
Hint: Count the terms: 4x² + 7 has 2. One term is a monomial, two a binomial, three a trinomial.
Question 6
5 identical cubes are glued face to face in a straight row. How many cube faces can you see on the outside?
- 30
- 21
- 23
- 22
22
Hint: 5 separate cubes have 30 faces. Each of the 4 glued joins hides 2 faces, so 30 − 8 = 22.
Question 7
A school has 400 students. A survey asks 20 of them. What fraction of the students were surveyed? Type it in lowest terms.
answer box
1/20
Hint: Fraction = 20/400, which is 1/20 in lowest terms.
Question 8
What is (−5)³?
answer box
-125
Hint: Multiply −5 by itself 3 times. An odd number of negatives gives a negative answer: -125.
Question 9
−3/7 ÷ 3/5 = ?
- 5/7
- -5/7
- -2/3
- -7/5
- -15/22
-5/7
Hint: Multiply by the reciprocal: −3/7 × 5/3 = −15/21. A negative ÷ positive is negative. Lowest terms: -5/7.
Question 10
Find the slope of the line through (-2, 1) and (0, 2).
- -2
- -1/2
- 2
- 1/2
1/2
Hint: rise = 1, run = 2, so slope = 1/2.
Answer key
- 1. 729 (Exponents & Powers)
- 2. 11/12 (Rational Numbers)
- 3. 2 (Linear Relations)
- 4. -1 (Multi-Step Equations)
- 5. binomial (Polynomials)
- 6. 22 (Surface Area of Objects)
- 7. 1/20 (Statistics in Society)
- 8. -125 (Exponents & Powers)
- 9. -5/7 (Rational Numbers)
- 10. 1/2 (Linear Relations)
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