Ontario MPT Mock Exam 2

All 60 questions in this test

Every question and its answer choices. The correct answers and explanations appear when you take the test above.

1. What does Strand A of the 2020 Ontario math curriculum combine?

   1. Number sense and operations with fractions and decimals
   2. Data collection and simple probability experiments
   3. Social-emotional learning skills and the mathematical processes
   4. Geometry and the measurement of three-dimensional objects

2. Point (−1, 4) is translated 5 units right and 3 units down. Where is its image?

   1. (4, 1)
   2. (4, 7)
   3. (2, 9)
   4. (−6, 7)

3. A line passes through (0, 3) and (2, 7). What is its equation?

   1. y = 4x + 3
   2. y = 2x + 3
   3. y = 2x + 7
   4. y = 3x + 2

4. Which statement shows the idea that the equal sign means "has the same value as"?

   1. 8 + 4 = □ + 5, so □ = 7
   2. 8 + 4 = □, so □ = 5
   3. 8 + 4 = 12 + 5 = 17
   4. 8 + 4 = □ + 5, so □ = 12

5. A student earns $400 a month and plans to save 15%. How much does she save in 6 months?

   1. $90
   2. $60
   3. $2,040
   4. $360

6. $1,000 is invested at 5% per year, compounded annually. What is it worth after 2 years?

   1. $1,100.00
   2. $1,105.00
   3. $1,050.00
   4. $1,102.50

7. If 1 euro = 1.50 Canadian dollars, how many euros do you get for $300 CAD?

   1. €450
   2. €150
   3. €300
   4. €200

8. A pattern repeats red, blue, blue, green. What colour is the 23rd item?

   1. Blue
   2. Red
   3. Green
   4. Yellow

9. Which number is between −1/2 and −1/4?

   1. −3/8
   2. 3/8
   3. −1/8
   4. −5/8

10. Which strand of the 2020 curriculum includes measurement and geometry?

    1. Number
    2. Data
    3. Spatial Sense
    4. Algebra

11. A teacher notices three students struggling with fractions after whole-class lessons and gives them small-group sessions twice a week. Which tier is this?

    1. Tier 3 (clinical)
    2. No tier applies
    3. Tier 1 (universal)
    4. Tier 2 (targeted)

12. A teacher asks students to explain in words and drawings how they solved a problem. Which processes does this mainly develop?

    1. Estimating and rounding
    2. Selecting tools and timing
    3. Communicating and representing
    4. Memorizing and repeating

13. Shoe sizes in a class are 6, 7, 7, 8, 8, 8, 9. What is the mode?

    1. 7
    2. 8
    3. 7.6
    4. 9

14. To the nearest tenth, what is the area of a circle with a radius of 6 cm? (Use the π key.)

    1. 18.8 cm²
    2. 452.4 cm²
    3. 37.7 cm²
    4. 113.1 cm²

15. A teacher lets students show their understanding of area by building a model, writing an explanation or giving a short talk. What is being differentiated?

    1. The product
    2. The achievement chart
    3. The curriculum expectation
    4. The content

16. A survey about school lunches asks only students in the chess club. What is the main problem?

    1. Chess club members cannot answer surveys
    2. The sample is not representative of all students
    3. The survey has too many questions
    4. Lunch is not a suitable survey topic

17. Learning skills and work habits are reported separately from achievement. Which is one of them?

    1. Knowledge and understanding
    2. Final evaluation
    3. Self-regulation
    4. Application

18. Which level of the achievement chart represents the provincial standard?

    1. Level 3
    2. Level 2
    3. Level 1
    4. Level 4

19. How is Strand A (SEL skills and mathematical processes) assessed?

    1. Through a separate SEL test given each term
    2. Within the context of learning in the other five strands
    3. It is never assessed or evaluated in any way
    4. Only by the school's guidance counsellor

20. Which is the best estimate of 49 × 21?

    1. 1 000
    2. 70
    3. 10 000
    4. 100

21. A fair six-sided die is rolled once. What is the probability of rolling a number less than 3?

    1. 1/6
    2. 1/2
    3. 2/3
    4. 1/3

22. A recipe uses flour and sugar in the ratio 5 : 2. How much sugar goes with 750 g of flour?

    1. 1 875 g
    2. 300 g
    3. 150 g
    4. 377 g

23. Solve the equation 3x + 5 = 29.

    1. x = 24
    2. x = 6
    3. x = 11.3
    4. x = 8

24. A growing pattern has 5, 9, 13, 17 tiles in figures 1 to 4. Which expression gives the tiles in figure n?

    1. n + 4
    2. 4n + 5
    3. 4n + 1
    4. 5n

25. How many square centimetres are in 1 square metre?

    1. 100
    2. 10 000
    3. 1 000 000
    4. 1 000

26. Evaluate the product of powers 2³ × 3².

    1. 36
    2. 216
    3. 72
    4. 12

27. Which is one of the four achievement chart categories?

    1. Attendance
    2. Thinking
    3. Behaviour
    4. Effort

28. Point (3, −2) is reflected in the x-axis. What are the coordinates of its image?

    1. (3, 2)
    2. (−3, 2)
    3. (−3, −2)
    4. (2, 3)

29. A fair die is rolled and a coin is tossed. How many outcomes are in the sample space?

    1. 12
    2. 2
    3. 6
    4. 8

30. What does "readiness" mean in differentiated instruction?

    1. What the student currently knows and can do in this unit
    2. Whether the student completed last night's homework
    3. The student's general level of intelligence
    4. The student's exact age measured in months

31. Which graph is best for showing how a class's heights are distributed across intervals such as 140–149 cm and 150–159 cm?

    1. A circle graph
    2. A pictograph of pets
    3. A line graph
    4. A histogram

32. A price rises 20% and then falls 20%. Compared with the original, the final price is:

    1. 20% lower
    2. 4% lower
    3. 4% higher
    4. the same

33. In a Grade 3 financial literacy lesson, which item is best classified as a need?

    1. Winter boots
    2. A second bicycle
    3. Concert tickets
    4. A video game

34. Find the area of a trapezoid with parallel sides 8 cm and 14 cm and a height of 5 cm.

    1. 560 cm²
    2. 110 cm²
    3. 27 cm²
    4. 55 cm²

35. Solve 2(x + 4) = 5x − 7.

    1. x = 5
    2. x = 3.7
    3. x = −5
    4. x = 1

36. Which four elements can be differentiated in a classroom, according to Learning for All?

    1. Tests, quizzes, exams and marks
    2. Content, process, product and environment
    3. Grades, rank, attendance and behaviour
    4. Desks, chairs, lights and doors

37. A $60 sweater is 25% off, and 13% HST is charged on the sale price. What is the total?

    1. $45.00
    2. $50.85
    3. $58.80
    4. $52.80

38. Simplify the expression 4(x − 3) + 2x.

    1. 4x − 12
    2. 6x − 3
    3. 6x − 12
    4. 6x − 7

39. A bar graph's vertical axis starts at 90 instead of 0. What effect can this have?

    1. Small differences look much larger
    2. The graph becomes more accurate
    3. The bars show percentages instead
    4. The data values change

40. Students use success criteria to check their own work and set next steps. Which kind of assessment is this?

    1. Assessment of learning
    2. Norm-referenced assessment
    3. Assessment as learning
    4. Diagnostic testing

41. A data set is 12, 14, 13, 15, 61. Which measure is most affected by the 61?

    1. The mode
    2. The mean
    3. The number of values
    4. The median

42. What kind of feedback does Growing Success describe as supporting improved learning?

    1. Feedback given only at the end of the school year
    2. Praise only, such as "Good job!" on every task
    3. Descriptive feedback that is clear, specific and timely
    4. A single letter grade with no comments at all

43. On a scatter plot, as hours of practice increase, the number of errors decreases. What relationship is shown?

    1. A causal proof
    2. A negative correlation
    3. A positive correlation
    4. No correlation

44. In the formula A = lw, what does the letter w represent?

    1. A misprint for the word "with"
    2. The fixed number 23 for every rectangle
    3. The letter that comes after v in a code
    4. A quantity that can take different values

45. A plant is 4 cm tall and grows 1.5 cm each week. Which equation models its height h after w weeks?

    1. h = 1.5 + 4w
    2. h = 1.5w + 4
    3. h = 5.5w
    4. h = 4w + 1.5

46. Two numbers have a sum of 30 and a difference of 8. What are they?

    1. 20 and 10
    2. 22 and 8
    3. 19 and 11
    4. 15 and 15

47. A student claims 1/3 + 1/4 = 2/7. Which model best shows why this is wrong?

    1. A hundreds chart that shows only the even numbers
    2. A bar graph of the class's favourite fruits
    3. A number line showing 1/3 alone is already more than 2/7
    4. A tally chart of the class's votes for team names

48. Why does the Ontario math curriculum emphasize culturally responsive and relevant teaching?

    1. So that teachers can skip some curriculum expectations
    2. So students see themselves and their communities in mathematics
    3. So that math is taught only through its history
    4. So that all students learn exactly identical examples

49. A 2.4 m board is cut into pieces 30 cm long. How many pieces are there?

    1. 0.08
    2. 12
    3. 8
    4. 80

50. Two angles of a triangle measure 48° and 67°. What is the third angle?

    1. 115°
    2. 245°
    3. 25°
    4. 65°

51. When determining a report card grade, what does Growing Success ask teachers to reflect?

    1. The average of every mark collected since the first day
    2. Only the lowest mark the student earned during the term
    3. The class average on the same task, adjusted to a curve
    4. The most consistent level, with more weight on recent evidence

52. Between which two consecutive whole numbers does √50 lie?

    1. 5 and 6
    2. 24 and 26
    3. 7 and 8
    4. 6 and 7

53. How many fundamental principles of assessment does Growing Success set out?

    1. Three
    2. Five
    3. Ten
    4. Seven

54. A student says 0.3 × 0.2 = 0.6. What is the correct product, and what error did the student make?

    1. 6; the decimal point should be dropped
    2. 0.5; the numbers should be added
    3. 0.06; the decimal places were not counted
    4. 0.6; the answer is already correct

55. What is the sum of the interior angles of a hexagon?

    1. 540°
    2. 360°
    3. 1 080°
    4. 720°

56. Which percent is equivalent to the fraction 1/8?

    1. 12.5%
    2. 18%
    3. 8%
    4. 1.25%

57. A credit card balance of $2,000 has an annual interest rate of 19.95%. About how much interest is charged for one month if the balance is unpaid?

    1. $33.25
    2. $19.95
    3. $166.67
    4. $399.00

58. In secondary courses, how is the final grade split under Growing Success?

    1. 50% course work, 50% final exam
    2. 30% course work, 70% final evaluation
    3. 90% course work, 10% final project
    4. 70% course work, 30% final evaluation

59. Find the median of the even-sized set 3, 9, 4, 12, 7, 10.

    1. 8
    2. 7.5
    3. 9
    4. 7

60. Which is one of the seven mathematical processes in the Ontario curriculum?

    1. Memorizing and reciting
    2. Reasoning and proving
    3. Copying and checking
    4. Timing and racing