Grade 9 Math practice sheet
Prince Edward Island 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
Which whole number is closest to √226?
- 17
- 16
- 15
- 14
15
Hint: Find the perfect squares on each side of 226. 15² = 225, which is the closest to 226.
Question 4
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 5
Solve for x: 6(x + 4) = 18
answer box
-1
Hint: Divide both sides by 6: x + 4 = 3. Subtract 4: x = −1.
Question 6
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 7
The end of a roof is an isosceles triangle with a base of 10 m and two equal sloping sides of 13 m. How tall is it, in metres?
answer boxm
12 m
Hint: Split the triangle in half: a right triangle with hypotenuse 13 and base 5. The height is √(169 − 25) = 12.
Question 8
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 9
Triangle B is an enlargement of triangle A. A side of 9 cm on triangle A matches a side of 18 cm on triangle B. What is the scale factor?
answer box
2
Hint: Scale factor = new length ÷ original length = 18 ÷ 9 = 2.
Question 10
What is (−5)³?
answer box
-125
Hint: Multiply −5 by itself 3 times. An odd number of negatives gives a negative answer: -125.
Answer key
- 1. 729 (Exponents & Powers)
- 2. 11/12 (Rational Numbers)
- 3. 15 (Square Roots)
- 4. 2 (Linear Relations)
- 5. -1 (Multi-Step Equations)
- 6. binomial (Polynomials)
- 7. 12 m (Right Triangles & Scaling)
- 8. 22 (Surface Area of Objects)
- 9. 2 (Similarity & Scale)
- 10. -125 (Exponents & Powers)
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