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SK SSA Math 9 study materials
SK SSA Math 9 study resources

SK SSA Math 9 practice questions

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Question 1Rational numbers and operations with integer powers

Which expression equals 8?

  1. 2³ Correct answer.
  2. 2⁴
  3. (−2)³
  4. 8⁰

Explanation

2³ means 2×2×2 = 8. Saskatchewan Mathematics 9 (N9.1) focuses on powers with whole-number exponents, including evaluating such powers.

Question 2Polynomials, linear relations and equations

The table shows x: 1, 2, 3 and y: 5, 8, 11. Which rule fits?

  1. y = 3x + 2 Correct answer.
  2. y = 3x − 2
  3. y = 2x + 3
  4. y = x + 4

Explanation

When x increases by 1, y increases by 3, so slope is 3. Check x=1: 3(1)+2=5. The rule is y = 3x + 2.

Question 3Polynomials, linear relations and equations

Expand 3(2x − 5).

  1. 6x − 15 Correct answer.
  2. 6x − 5
  3. 5x − 15
  4. 6x + 15

Explanation

Distribute: 3·2x − 3·5 = 6x − 15. Therefore the correct answer is 6x − 15.

Question 4Circle properties, symmetry and spatial reasoning

A radius meets a tangent at the point of contact. What is their angle?

  1. 90° Correct answer.
  2. 45°
  3. 180°
  4. 60°

Explanation

A tangent is perpendicular to the radius at the point of contact, so the angle is 90°.

Question 5Data, sampling and probability

A survey asks only students on the basketball team “Do you play sports regularly?” Why is this sample biased?

  1. It over-represents students already involved in sports Correct answer.
  2. The question is about basketball rules
  3. All samples of athletes are always valid
  4. Bias cannot occur in school surveys

Explanation

Sampling only basketball players over-represents athletes, so results will not reflect the whole student body.

Question 6Rational numbers and operations with integer powers

Which list orders the rationals from least to greatest?

  1. −3/4, −1/2, 0.2, 2/5 Correct answer.
  2. −1/2, −3/4, 2/5, 0.2
  3. 0.2, 2/5, −1/2, −3/4
  4. −3/4, 0.2, −1/2, 2/5

Explanation

−3/4 = −0.75, −1/2 = −0.5, 0.2 = 0.2, 2/5 = 0.4, so least to greatest is −3/4, −1/2, 0.2, 2/5.

Question 7Rational numbers and operations with integer powers

Simplify (3⁴ × 3²) ÷ 3³.

  1. 3³ Correct answer.
  2. 3⁵
  3. 3⁹
  4. 3¹

Explanation

3⁴ × 3² = 3⁶, then 3⁶ ÷ 3³ = 3³. Therefore the correct answer is 3³.

Question 8Rational numbers and operations with integer powers

Between which two consecutive integers does √50 lie?

  1. 7 and 8 Correct answer.
  2. 6 and 7
  3. 8 and 9
  4. 5 and 6

Explanation

7² = 49 and 8² = 64. Since 49 < 50 < 64, √50 is between 7 and 8.

Question 9Rational numbers and operations with integer powers

Simplify 2⁴ × 2².

  1. 2⁶ Correct answer.
  2. 2⁸
  3. 4⁶
  4. 2²

Explanation

For the same base, multiply powers by adding whole-number exponents: 2⁴ × 2² = 2^(4+2) = 2⁶. Checking: 16 × 4 = 64 = 2⁶.

Question 10Rational numbers and operations with integer powers

What is the value of (−4)² − 4²?

  1. 0 Correct answer.
  2. 32
  3. −32
  4. 16

Explanation

(−4)² = 16 and 4² = 16, so 16 − 16 = 0. Therefore the correct answer is 0.

Question 11Rational numbers and operations with integer powers

Evaluate (3/4)².

  1. 9/16 Correct answer.
  2. 6/8
  3. 9/4
  4. 3/8

Explanation

Square the numerator and the denominator: (3/4)² = 3²/4² = 9/16. This uses a whole-number exponent on a rational base (N9.1 / N9.2).

Question 12Rational numbers and operations with integer powers

Evaluate (3² × 3³) ÷ 3⁰.

  1. 243 Correct answer.
  2. 81
  3. 1
  4. 27

Explanation

3² × 3³ = 3⁵ = 243. Any nonzero number to the power 0 equals 1, so dividing by 3⁰ leaves 243. N9.1 includes powers with an exponent of zero.

Question 13Rational numbers and operations with integer powers

Simplify (4² × 4³) ÷ 4⁴.

  1. 4 Correct answer.
  2. 4⁵
  3. 16
  4. 1

Explanation

4² × 4³ = 4⁵, then 4⁵ ÷ 4⁴ = 4^(5−4) = 4¹ = 4. Only whole-number exponents are used (N9.1 product and quotient laws).

Question 14Polynomials, linear relations and equations

Combine like terms: 5x² + 3x − 2x² + 7.

  1. 3x² + 3x + 7 Correct answer.
  2. 7x² + 3x + 7
  3. 3x² + 10x
  4. 3x² − 3x + 7

Explanation

5x² − 2x² = 3x², and the 3x and +7 remain: 3x² + 3x + 7.

Question 15Polynomials, linear relations and equations

If y = 4x − 1, what is y when x = 3?

  1. 11 Correct answer.
  2. 12
  3. 7
  4. 13

Explanation

y = 4(3) − 1 = 12 − 1 = 11. Therefore the correct answer is 11.

Question 16Polynomials, linear relations and equations

Solve (2/3)x − 4 = 2.

  1. 9 Correct answer.
  2. 3
  3. 4
  4. 6

Explanation

(2/3)x = 6, so x = 6 × (3/2) = 9. Therefore the correct answer is 9.

Question 17Polynomials, linear relations and equations

A linear relation passes through (0, −3) and (2, 1). What is its slope?

  1. 2 Correct answer.
  2. −2
  3. 1
  4. 4

Explanation

m = (1 − (−3))/(2 − 0) = 4/2 = 2. Therefore the correct answer is 2.

Question 18Polynomials, linear relations and equations

Solve 2x − 5 ≤ 9.

  1. x ≤ 7 Correct answer.
  2. x ≥ 7
  3. x ≤ 2
  4. x < 7

Explanation

2x ≤ 14, so x ≤ 7. Therefore the correct answer is x ≤ 7.

Question 19Polynomials, linear relations and equations

Multiply: (x + 3)(x + 2).

  1. x² + 5x + 6 Correct answer.
  2. x² + 6x + 5
  3. x² + 5x + 5
  4. x² + 6

Explanation

FOIL: x² + 2x + 3x + 6 = x² + 5x + 6. Therefore the correct answer is x² + 5x + 6.

Question 20Polynomials, linear relations and equations

Multiply: (2x − 1)(x + 4).

  1. 2x² + 7x − 4 Correct answer.
  2. 2x² + 8x − 4
  3. 2x² + 7x + 4
  4. 2x² − 7x − 4

Explanation

2x·x + 2x·4 + (−1)·x + (−1)·4 = 2x² + 8x − x − 4 = 2x² + 7x − 4.

Question 21Polynomials, linear relations and equations

Subtract: (5x² − 3x + 2) − (2x² − x − 5).

  1. 3x² − 2x + 7 Correct answer.
  2. 3x² − 4x − 3
  3. 7x² − 2x + 7
  4. 3x² − 2x − 3

Explanation

5x² − 2x² = 3x²; −3x − (−x) = −2x; 2 − (−5) = 7. Result: 3x² − 2x + 7.

Question 22Polynomials, linear relations and equations

Solve (x + 2)/5 = (x − 1)/2.

  1. 3 Correct answer.
  2. −3
  3. 1
  4. −1

Explanation

Cross-multiply: 2(x + 2) = 5(x − 1) → 2x + 4 = 5x − 5 → 4 + 5 = 5x − 2x → 9 = 3x → x = 3.

Question 23Polynomials, linear relations and equations

Write 3x − y = 6 in slope-intercept form.

  1. y = 3x − 6 Correct answer.
  2. y = −3x + 6
  3. y = 3x + 6
  4. y = −3x − 6

Explanation

−y = −3x + 6, so y = 3x − 6. Therefore the correct answer is y = 3x − 6.

Question 24Polynomials, linear relations and equations

Solve 4 − (x/3) = 1.

  1. 9 Correct answer.
  2. 3
  3. −9
  4. 12

Explanation

−(x/3) = −3, so x/3 = 3 and x = 9. Therefore the correct answer is 9.

Question 25Polynomials, linear relations and equations

If a taxi charges a $3 flag drop plus $2 per kilometre, which equation gives cost C for d kilometres?

  1. C = 2d + 3 Correct answer.
  2. C = 3d + 2
  3. C = 2d − 3
  4. C = 5d

Explanation

Variable cost is 2d and the flag drop is 3, so C = 2d + 3.

Question 26Polynomials, linear relations and equations

Solve 5x + 2 = 3x − 8.

  1. −5 Correct answer.
  2. 5
  3. −3
  4. 3

Explanation

5x − 3x = −8 − 2 → 2x = −10 → x = −5. Therefore the correct answer is −5.

Question 27Polynomials, linear relations and equations

Which point lies on y = −(1/2)x + 3?

  1. (2, 2) Correct answer.
  2. (2, 4)
  3. (4, 3)
  4. (0, −3)

Explanation

For x=2: y = −(1/2)(2) + 3 = −1 + 3 = 2. So (2, 2) lies on the line.

Question 28Polynomials, linear relations and equations

Solve x/2 + x/3 = 5.

  1. 6 Correct answer.
  2. 5
  3. 15
  4. 10

Explanation

Common denominator 6: (3x + 2x)/6 = 5 → 5x/6 = 5 → 5x = 30 → x = 6.

Question 29Polynomials, linear relations and equations

The graph of a linear relation has slope −3 and passes through (1, 4). Which equation is it?

  1. y = −3x + 7 Correct answer.
  2. y = −3x + 4
  3. y = 3x + 1
  4. y = −3x − 7

Explanation

y − 4 = −3(x − 1) → y − 4 = −3x + 3 → y = −3x + 7.

Question 30Polynomials, linear relations and equations

Solve 2(3x − 4) − (x + 5) = 9.

  1. 22/5 Correct answer.
  2. 3
  3. 4
  4. 11/5

Explanation

6x − 8 − x − 5 = 9 → 5x − 13 = 9 → 5x = 22 → x = 22/5.

Question 31Polynomials, linear relations and equations

Which values of x satisfy −1 ≤ 2x + 3 < 7?

  1. −2 ≤ x < 2 Correct answer.
  2. −2 < x ≤ 2
  3. −4 ≤ x < 4
  4. −1 ≤ x < 2

Explanation

Subtract 3: −4 ≤ 2x < 4. Divide by 2: −2 ≤ x < 2.

Question 32Polynomials, linear relations and equations

Expand and simplify (x − 5)².

  1. x² − 10x + 25 Correct answer.
  2. x² − 25
  3. x² − 5x + 25
  4. x² + 10x + 25

Explanation

(x − 5)² = x² − 2·x·5 + 25 = x² − 10x + 25.

Question 33Circle properties, symmetry and spatial reasoning

Surface area of a cube with edge 4 cm is:

  1. 96 cm² Correct answer.
  2. 64 cm²
  3. 16 cm²
  4. 48 cm²

Explanation

A cube has 6 faces of area 4² = 16, so SA = 6×16 = 96 cm².

Question 34Circle properties, symmetry and spatial reasoning

A rectangular prism is 5 cm by 3 cm by 2 cm. What is its surface area?

  1. 62 cm² Correct answer.
  2. 30 cm²
  3. 31 cm²
  4. 60 cm²

Explanation

SA = 2(5·3 + 5·2 + 3·2) = 2(15 + 10 + 6) = 2(31) = 62 cm².

Question 35Circle properties, symmetry and spatial reasoning

In a circle, chord AB is 16 cm and the perpendicular from the centre to AB is 6 cm. If the radius is 10 cm, which Pythagorean check is correct?

  1. 6² + 8² = 10² Correct answer.
  2. 6² + 16² = 10²
  3. 8² + 10² = 6²
  4. 6² + 10² = 8²

Explanation

The perpendicular from the centre bisects the chord, so each half is 8 cm. Then 6² + 8² = 36 + 64 = 100 = 10².

Question 36Circle properties, symmetry and spatial reasoning

A cylinder has radius 3 cm and height 5 cm. What is its total surface area in terms of π?

  1. 48π cm² Correct answer.
  2. 30π cm²
  3. 45π cm²
  4. 15π cm²

Explanation

SA = 2πr² + 2πrh = 2π(9) + 2π(3)(5) = 18π + 30π = 48π cm².

Question 37Circle properties, symmetry and spatial reasoning

Triangles ABC ~ DEF with AB/DE = 2/5. If AC = 8, what is DF?

  1. 20 Correct answer.
  2. 16
  3. 3.2
  4. 10

Explanation

AC/DF = 2/5 → 8/DF = 2/5 → DF = 8 × 5/2 = 20.

Question 38Circle properties, symmetry and spatial reasoning

A 10 cm × 6 cm × 4 cm rectangular prism has a 4 cm cube attached flush on the 10×6 face. What is the composite surface area?

  1. 312 cm² Correct answer.
  2. 344 cm²
  3. 280 cm²
  4. 328 cm²

Explanation

Prism SA = 2(10·6 + 10·4 + 6·4) = 2(60+40+24) = 248. Cube SA = 6×16 = 96. Joining hides 16 cm² on each solid, so subtract 2×16 = 32. Composite SA = 248 + 96 − 32 = 312 cm².

Question 39Circle properties, symmetry and spatial reasoning

In a circle, a central angle intercepting arc PQ measures 84°. What is the measure of an inscribed angle that intercepts the same arc PQ?

  1. 42° Correct answer.
  2. 84°
  3. 168°
  4. 21°

Explanation

SS9.1: the measure of a central angle is twice the measure of an inscribed angle subtending the same arc. An inscribed angle on arc PQ is 84° ÷ 2 = 42°.

Question 40Circle properties, symmetry and spatial reasoning

A circle has circumference 20π cm. What is the radius?

  1. 10 cm Correct answer.
  2. 20 cm
  3. 5 cm
  4. 40 cm

Explanation

C = 2πr = 20π → r = 10 cm. Therefore the correct answer is 10 cm.

Question 41Circle properties, symmetry and spatial reasoning

A triangular prism has right-triangle bases with legs 3 cm and 4 cm (hypotenuse 5 cm) and length 10 cm. What is the surface area?

  1. 132 cm² Correct answer.
  2. 60 cm²
  3. 120 cm²
  4. 84 cm²

Explanation

Two triangular bases: 2×(1/2·3·4) = 12. Lateral faces: 3×10 + 4×10 + 5×10 = 120. Total SA = 12 + 120 = 132 cm².

Question 42Circle properties, symmetry and spatial reasoning

From the centre O, perpendicular OM meets chord AB at M with AM = 9 and OM = 12. What is the radius OA?

  1. 15 Correct answer.
  2. 21
  3. √108
  4. 13

Explanation

Right triangle OMA: OA = √(OM² + AM²) = √(144 + 81) = √225 = 15.

Question 43Circle properties, symmetry and spatial reasoning

A cylinder has radius 4 cm and height 10 cm. What is its total surface area?

  1. 112π cm² Correct answer.
  2. 80π cm²
  3. 96π cm²
  4. 40π cm²

Explanation

SA = 2πr² + 2πrh = 2π(16) + 2π(4)(10) = 32π + 80π = 112π cm².

Question 44Data, sampling and probability

A news headline says “4 out of 5 dentists recommend Brand X” based on 5 dentists surveyed. What is the main problem?

  1. The sample size is too small to generalize Correct answer.
  2. Dentists cannot have opinions
  3. Fractions cannot describe recommendations
  4. Five is always a large enough sample

Explanation

A sample of 5 is too small for a broad claim about dentists in general.

Question 45Data, sampling and probability

Range of 12, 5, 18, 7, 9 is:

  1. 13 Correct answer.
  2. 18
  3. 5
  4. 10

Explanation

Range = max − min = 18 − 5 = 13. Therefore the correct answer is 13.

Question 46Data, sampling and probability

A weather app says 30% chance of rain. Which interpretation is best?

  1. In many similar days, about 30% are expected to have rain Correct answer.
  2. It will rain on 30% of the city blocks for sure
  3. Rain is impossible
  4. It will rain for exactly 30 minutes

Explanation

A 30% chance describes long-run relative frequency in similar conditions, not a certainty about blocks or duration.

Question 47Data, sampling and probability

A stratified sample of a school surveys equal numbers from Grades 7, 8, and 9. Why might this be used?

  1. To ensure each grade is represented in the sample Correct answer.
  2. To guarantee every student is surveyed
  3. To eliminate all possible bias forever
  4. To make the sample as small as possible only

Explanation

Stratifying by grade ensures each grade group is represented rather than letting one grade dominate a simple random draw.

Question 48Data, sampling and probability

When discussing chance and prediction, a respectful classroom discussion of First Nations and Métis perspectives may emphasize that:

  1. Community knowledge and lived experience can inform how uncertainty and patterns are understood alongside school probability models Correct answer.
  2. Only Western formulas are ever allowed when talking about chance
  3. Probability topics must exclude all cultural contexts
  4. Randomness means outcomes can never be discussed in community contexts

Explanation

Saskatchewan Math 9 includes First Nations and Métis perspectives on probability and statistics. Respectful items recognize that community knowledge and lived experience can sit alongside school probability models when discussing uncertainty and patterns.

Question 49Rational numbers and operations with integer powers

Evaluate the expression: $(-2.5) \times 0.4 + 3.8$.

  1. 2.8 Correct answer.
  2. 1.8
  3. -4.8
  4. -2.8

Explanation

First multiply $(-2.5) \times 0.4 = -1.0$. Then add $3.8$ to obtain $-1.0 + 3.8 = 2.8$.

Question 50Rational numbers and operations with integer powers

Which of the following rational numbers lies between $-0.75$ and $-\frac{1}{2}$?

  1. -0.6 Correct answer.
  2. -0.8
  3. -0.4
  4. -0.2

Explanation

Expressing $-\frac{1}{2}$ as a decimal gives $-0.50$. The value $-0.60$ lies between $-0.75$ and $-0.50$.