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Ontario MPT study materials
Ontario MPT study resources

Ontario MPT practice questions

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Question 1Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

Round 4,672 to the nearest hundred.

  1. 4,700 Correct answer.
  2. 4,600
  3. 5,000
  4. 4,800

Explanation

Rounding to the nearest hundred means finding the two hundreds on either side of 4,672, namely 4,600 and 4,700, then choosing the closer one. The tens digit is 7, which is 5 or more, so the number rounds up to 4,700.

Question 2Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

Which fraction is equivalent to 3/4?

  1. 9/12 Correct answer.
  2. 4/5
  3. 6/9
  4. 5/8

Explanation

Two fractions are equivalent when both the numerator and denominator of one can be multiplied by the same non-zero number to get the other. Multiplying 3 and 4 each by 3 gives 9/12, so 9/12 equals 3/4.

Question 3Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

A rectangle is 8 cm long and 5 cm wide. What is its perimeter?

  1. 40 cm
  2. 13 cm
  3. 21 cm
  4. 26 cm Correct answer.

Explanation

The perimeter of a rectangle is the total distance around it, found by adding all four side lengths: 8 + 5 + 8 + 5. This gives 26 cm.

Question 4Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

What is the product of 7 and 8?

  1. 48
  2. 63
  3. 56 Correct answer.
  4. 54

Explanation

Multiplication can be thought of as repeated equal groups: seven groups of eight make 56. The fact belongs to the 8-times table, where 7 × 8 = 56.

Question 5Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

Which of these numbers has the least value? 0.06, 0.5, 0.6, 0.65

  1. 0.06 Correct answer.
  2. 0.5
  3. 0.6
  4. 0.65

Explanation

To compare decimals, compare the digits in the same place value from left to right, starting with the tenths. The number 0.06 has 0 tenths while every other choice has 5 or 6 tenths, so it is the smallest.

Question 6Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

A movie starts at 9:45 a.m. and ends at 11:20 a.m. How long is the movie?

  1. 1 h 25 min
  2. 2 h 35 min
  3. 1 h 45 min
  4. 1 h 35 min Correct answer.

Explanation

Count on from 9:45 to 10:45, which is 1 hour, then from 10:45 to 11:20, which is 35 minutes. The total elapsed time is 1 h 35 min.

Question 7Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

In the number 5,308, what is the value of the digit 3?

  1. 3,000
  2. 30
  3. 300 Correct answer.
  4. 3

Explanation

Place value depends on the position of the digit. In 5,308 the 3 sits in the hundreds place, so it represents 3 hundreds, or 300.

Question 8Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

The pattern 3, 7, 11, 15, ... continues by adding the same amount each time. What is the next term?

  1. 19 Correct answer.
  2. 20
  3. 18
  4. 23

Explanation

Each term is 4 more than the term before it: 3 + 4 = 7, 7 + 4 = 11, and so on. Applying the rule once more gives 15 + 4 = 19.

Question 9Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

What is 15% of 80?

  1. 8
  2. 15
  3. 20
  4. 12 Correct answer.

Explanation

A percent is a rate out of 100, so 15% of 80 is found by multiplying 80 by 0.15. Since 80 × 0.15 = 12, the answer is 12.

Question 10Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

A recipe uses 3 cups of flour to make 12 cookies. At this rate, how many cups of flour are needed for 20 cookies?

  1. 5 cups Correct answer.
  2. 4 cups
  3. 6 cups
  4. 4.5 cups

Explanation

Set up the ratio 3 cups to 12 cookies, which simplifies to 0.25 cups per cookie. Multiplying 20 cookies by 0.25 cups gives 5 cups.

Question 11Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

Evaluate: 6 + 2 × (5 - 3)^2

  1. 64
  2. 14 Correct answer.
  3. 16
  4. 20

Explanation

Order of operations requires brackets first, then exponents, then multiplication, then addition. Here (5 - 3) = 2, and 2^2 = 4, so the expression becomes 6 + 2 × 4 = 6 + 8 = 14.

Question 12Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

Solve for x: 4x - 7 = 21

  1. 14
  2. 7 Correct answer.
  3. 5
  4. 3.5

Explanation

To isolate x, first add 7 to both sides to get 4x = 28. Then divide both sides by 4, giving x = 7.

Question 13Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

A triangle has a base of 12 cm and a height of 9 cm. What is its area?

  1. 108 cm²
  2. 21 cm²
  3. 54 cm² Correct answer.
  4. 27 cm²

Explanation

The area of a triangle is one half of base times height. Half of 12 × 9 = 108 is 54, so the area is 54 cm².

Question 14Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

What is the mean of the data set 4, 8, 6, 10, 12?

  1. 10
  2. 7
  3. 9
  4. 8 Correct answer.

Explanation

The mean is the sum of all values divided by the number of values. The sum is 4 + 8 + 6 + 10 + 12 = 40, and 40 ÷ 5 = 8.

Question 15Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

A bag contains 3 red, 5 blue and 2 green marbles. If one marble is drawn at random, what is the probability that it is blue?

  1. 1/5
  2. 1/2 Correct answer.
  3. 3/10
  4. 5/8

Explanation

Probability is the number of favourable outcomes divided by the total number of equally likely outcomes. There are 5 blue marbles out of 3 + 5 + 2 = 10 marbles, and 5/10 simplifies to 1/2.

Question 16Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

A rectangular prism measures 4 cm by 5 cm by 6 cm. What is its volume?

  1. 90 cm³
  2. 120 cm³ Correct answer.
  3. 15 cm³
  4. 60 cm³

Explanation

The volume of a rectangular prism is length × width × height. Multiplying 4 × 5 × 6 gives 120, so the volume is 120 cm³.

Question 17Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

Calculate: -7 + 12 - (-5)

  1. 10 Correct answer.
  2. 0
  3. 14
  4. -10

Explanation

Work left to right: -7 + 12 = 5, and subtracting a negative is the same as adding a positive, so 5 - (-5) = 5 + 5 = 10.

Question 18Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

Three angles of a quadrilateral measure 90°, 100° and 80°. What is the measure of the fourth angle?

  1. 110°
  2. 90° Correct answer.
  3. 80°
  4. 100°

Explanation

The interior angles of any quadrilateral add to 360°. The three known angles total 270°, so the fourth angle is 360° - 270° = 90°.

Question 19Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

If 5 kg of potatoes cost $12.50, how much do 8 kg cost at the same rate?

  1. $19.00
  2. $20.00 Correct answer.
  3. $18.00
  4. $22.50

Explanation

Find the unit price first: $12.50 ÷ 5 kg = $2.50 per kilogram. Multiplying $2.50 by 8 kg gives $20.00.

Question 20Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

Evaluate 3a - 2b when a = 4 and b = -1.

  1. 12
  2. 14 Correct answer.
  3. 16
  4. 10

Explanation

Substitute the values into the expression: 3(4) - 2(-1). This becomes 12 + 2 because multiplying two negatives gives a positive, so the value is 14.

Question 21Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

Simplify and evaluate: (2^3 × 2^5) ÷ 2^4

  1. 16 Correct answer.
  2. 64
  3. 8
  4. 32

Explanation

When multiplying powers with the same base, add the exponents: 2^3 × 2^5 = 2^8. When dividing, subtract the exponents: 2^8 ÷ 2^4 = 2^4 = 16.

Question 22Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

A 13 m ladder leans against a vertical wall with its foot 5 m from the base of the wall. How far up the wall does the ladder reach?

  1. 12 m
  2. 14 m Correct answer.
  3. 11 m
  4. 8 m

Explanation

The ladder, wall and ground form a right triangle with the ladder as the hypotenuse. By the Pythagorean theorem, the height is the square root of 13² - 5² = 169 - 25 = 144, which is 12 m.

Question 23Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

What is the slope of the line that passes through the points (2, 5) and (6, 13)?

  1. -2
  2. 4
  3. 2 Correct answer.
  4. 1/2

Explanation

Slope is the change in y divided by the change in x. Here the rise is 13 - 5 = 8 and the run is 6 - 2 = 4, so the slope is 8/4 = 2.

Question 24Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

Solve the inequality 3 - 2x > 11.

  1. x < -4 Correct answer.
  2. x > -4
  3. x > 4
  4. x < 4

Explanation

Subtract 3 from both sides to get -2x > 8, then divide both sides by -2. Dividing an inequality by a negative number reverses the inequality sign, so x < -4.

Question 25Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

What is the total surface area of a rectangular prism measuring 3 cm by 4 cm by 5 cm?

  1. 47 cm²
  2. 60 cm²
  3. 94 cm² Correct answer.
  4. 120 cm²

Explanation

A rectangular prism has three pairs of congruent rectangular faces. The area is 2(3×4) + 2(3×5) + 2(4×5) = 24 + 30 + 40 = 94 cm².

Question 26Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

What is 6,847 rounded to the nearest hundred?

  1. 6,800 Correct answer.
  2. 7,000
  3. 6,850
  4. 6,900

Explanation

To round to the nearest hundred, look at the tens digit. The tens digit is 4, which is less than 5, so the hundreds digit stays the same and the remaining digits become zeros.

Question 27Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

A rectangle is 7 cm long and 4 cm wide. What is its perimeter?

  1. 22 cm Correct answer.
  2. 11 cm
  3. 28 cm
  4. 14 cm

Explanation

The perimeter of a rectangle is found by adding the lengths of all four sides, or by using P = 2(l + w). Here 2 × (7 + 4) = 22.

Question 28Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

Which of these decimals has the greatest value?

  1. 0.06
  2. 0.6
  3. 0.56
  4. 0.65 Correct answer.

Explanation

Compare the tenths digits first, then the hundredths digits. The value 0.65 has 6 tenths and 5 hundredths, which is larger than 0.6, 0.56 and 0.06.

Question 29Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

Which of these numbers is divisible by 9?

  1. 5,634 Correct answer.
  2. 8,120
  3. 7,241
  4. 4,231

Explanation

A number is divisible by 9 when the sum of its digits is a multiple of 9. The digits of 5,634 add to 18, so it is divisible by 9.

Question 30Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

What is the median of the data set 3, 7, 9, 12, 15?

  1. 12
  2. 15
  3. 9 Correct answer.
  4. 7

Explanation

The median is the middle value when the data are arranged in order. Since there are five values already in order, the third value is the median.

Question 31Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

An angle that measures 105° is classified as which type of angle?

  1. Straight
  2. Right
  3. Acute
  4. Obtuse Correct answer.

Explanation

An obtuse angle measures more than 90° but less than 180°. Since 105° lies between those values, the angle is obtuse.

Question 32Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

Which of these integers has the smallest value?

  1. -3
  2. -8 Correct answer.
  3. 0
  4. 2

Explanation

On a number line, values decrease as you move left. Among these, -8 lies furthest to the left, so it is the smallest integer.

Question 33Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

A jacket regularly priced at $64 is on sale for 25% off. What is the sale price?

  1. $39
  2. $52
  3. $16
  4. $48 Correct answer.

Explanation

Find 25% of $64, which is one quarter of 64, or $16. Subtracting the discount from the regular price gives $64 - $16 = $48.

Question 34Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

How many grams are there in 3.5 kilograms?

  1. 35,000 g
  2. 350 g
  3. 3,500 g Correct answer.
  4. 0.35 g

Explanation

One kilogram equals 1,000 grams, so multiply the number of kilograms by 1,000. Thus 3.5 × 1,000 = 3,500 grams.

Question 35Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

Solve for x: x/3 + 2 = 7

  1. 15 Correct answer.
  2. 5
  3. 27
  4. 3

Explanation

Subtract 2 from both sides to get x/3 = 5. Then multiply both sides by 3, giving x = 15.

Question 36Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

A circle has a radius of 5 cm. Using π ≈ 3.14, what is its circumference?

  1. 31.4 cm Correct answer.
  2. 15.7 cm
  3. 78.5 cm
  4. 25 cm

Explanation

Circumference is calculated with C = 2πr. Substituting gives 2 × 3.14 × 5 = 31.4 cm.

Question 37Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

What is the value of 4^0 + 2^3?

  1. 5
  2. 12
  3. 9 Correct answer.
  4. 8

Explanation

Any nonzero number raised to the exponent 0 equals 1, so 4^0 = 1. Also 2^3 = 8, and 1 + 8 = 9.

Question 38Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

A fair six-sided die numbered 1 to 6 is rolled once. What is the probability of rolling a number greater than 4?

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

Explanation

The outcomes greater than 4 are 5 and 6, giving 2 favourable outcomes out of 6 equally likely outcomes. The probability is 2/6, which simplifies to 1/3.

Question 39Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

What is the value of (-3)^2 - (-2)^3?

  1. 5
  2. 17 Correct answer.
  3. -17
  4. 1

Explanation

Squaring -3 gives 9, and cubing -2 gives -8. Subtracting a negative is the same as adding, so 9 - (-8) = 17.

Question 40Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

Simplify: 3(2x - 4) + 5x

  1. 11x + 12
  2. 11x - 4
  3. 11x - 12 Correct answer.
  4. 6x - 12

Explanation

Distribute the 3 to get 6x - 12, then combine like terms with 5x. This gives 6x + 5x - 12 = 11x - 12.

Question 41Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

Two angles of a triangle measure 65° and 48°. What is the measure of the third angle?

  1. 77°
  2. 67° Correct answer.
  3. 113°
  4. 23°

Explanation

The interior angles of a triangle always add to 180°. The two known angles total 113°, so the third angle is 180° - 113° = 67°.

Question 42Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

What is the range of the data set 12, 7, 15, 9, 20?

  1. 12
  2. 20
  3. 13 Correct answer.
  4. 8

Explanation

The range is the difference between the greatest and least values. Here the greatest value is 20 and the least is 7, so the range is 13.

Question 43Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

What is 2/3 + 1/4?

  1. 5/7
  2. 11/12 Correct answer.
  3. 3/12
  4. 10/12

Explanation

Rewrite the fractions with a common denominator of 12: 2/3 = 8/12 and 1/4 = 3/12. Adding the numerators gives 11/12.

Question 44Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

The point (3, -2) is reflected in the x-axis. What are the coordinates of the image?

  1. (-3, 2)
  2. (3, -2)
  3. (-3, -2)
  4. (3, 2) Correct answer.

Explanation

Reflecting a point in the x-axis changes the sign of the y-coordinate while the x-coordinate stays the same. So (3, -2) becomes (3, 2).

Question 45Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

A cylinder has a radius of 3 cm and a height of 10 cm. Using π ≈ 3.14, what is its volume?

  1. 94.2 cm³
  2. 188.4 cm³
  3. 282.6 cm³ Correct answer.
  4. 942 cm³

Explanation

The volume of a cylinder is V = πr²h. Substituting gives 3.14 × 9 × 10 = 282.6 cm³.

Question 46Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

Solve the system of equations: 2x + y = 11 and x - y = 1

  1. x = 4, y = 3 Correct answer.
  2. x = 2, y = 7
  3. x = 5, y = 1
  4. x = 3, y = 4

Explanation

Adding the two equations eliminates y: 3x = 12, so x = 4. Substituting into x - y = 1 gives y = 3, and checking in the first equation gives 8 + 3 = 11.

Question 47Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

Simplify: (3x²y)(4xy³)

  1. 12x³y³
  2. 7x³y⁴
  3. 12x²y³
  4. 12x³y⁴ Correct answer.

Explanation

Multiply the coefficients: 3 × 4 = 12. For each variable, add the exponents: x²·x = x³ and y·y³ = y⁴, giving 12x³y⁴.

Question 48Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

A $40 item is marked up by 15% and then the new price is discounted by 15%. What is the final price?

  1. $39.00
  2. $39.10 Correct answer.
  3. $46.00
  4. $40.00

Explanation

A 15% markup gives 40 × 1.15 = $46.00. Taking 15% off that amount gives 46 × 0.85 = $39.10, which is less than the original price because the percents apply to different amounts.

Question 49Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

Which number is written correctly in scientific notation: 0.00042?

  1. 4.2 × 10⁻⁴ Correct answer.
  2. 4.2 × 10⁻⁵
  3. 4.2 × 10⁴
  4. 42 × 10⁻⁵

Explanation

Scientific notation writes a number as a value between 1 and 10 multiplied by a power of 10. Moving the decimal point 4 places to the right gives 4.2, so the exponent is -4.

Question 50Mathematics curriculum (Ontario curriculum, Grades 3 to 9)

What is 4 738 rounded to the nearest hundred?

  1. 4800
  2. 4730
  3. 4740
  4. 4700 Correct answer.

Explanation

To round to the nearest hundred, look at the tens digit. The tens digit is 3, which is less than 5, so the hundreds digit stays the same and the remaining digits become zeros, giving 4700.