Ontario MPT Mock Exam 1

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. A teacher gives a short quiz before a unit to find out what students already know. What kind of assessment is this?

   1. A final evaluation
   2. Diagnostic assessment for learning
   3. Summative assessment of learning
   4. Assessment as learning only

2. In the tiered approach, what does Tier 1 provide?

   1. A referral to an outside specialist
   2. High-quality instruction for all students
   3. Intensive support for a few students only
   4. A separate special education class

3. Find the mean of 4, 8, 6, 5 and 7.

   1. 7
   2. 5
   3. 6
   4. 30

4. 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

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

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

6. From which grade does the 2020 Ontario math curriculum teach financial literacy?

   1. Grade 7
   2. Grade 1
   3. Grade 9
   4. Grade 4

7. A spinner lands on blue 18 times in 60 spins. What is the experimental probability of blue?

   1. 0.3
   2. 0.18
   3. 0.42
   4. 0.6

8. 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

9. What should teachers share with students at the start of learning, according to Growing Success?

   1. Every student's previous marks
   2. Learning goals and success criteria
   3. Only the date of the unit test
   4. The answers to the final test

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

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

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

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

12. Solve 2(x + 4) = 5x − 7.

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

13. Which is the better buy: 6 granola bars for $4.20 or 8 bars for $5.20?

    1. They cost the same per bar
    2. 6 bars, at $0.70 per bar
    3. 8 bars, at $0.65 per bar
    4. 8 bars, at $0.60 per bar

14. $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

15. Two angles are supplementary. One measures 128°. What is the other?

    1. 232°
    2. 128°
    3. 52°
    4. 62°

16. 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)

17. 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

18. 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)

19. 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

20. 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

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

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

22. A student chooses between a number line, a calculator and mental math to solve a problem. Which mathematical process is this?

    1. Reflecting
    2. Connecting
    3. Communicating
    4. Selecting tools and strategies

23. In the number 4 307.25, what is the value of the digit 7?

    1. 7 hundreds
    2. 7 ones
    3. 7 tenths
    4. 7 tens

24. 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

25. 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

26. 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

27. A bag holds 4 red, 6 yellow and 10 green counters. What is the probability of drawing a yellow counter?

    1. 3/5
    2. 1/6
    3. 6/14
    4. 3/10

28. Code: x = 10. If x > 5, then x = x − 3; otherwise x = x + 3. Then print x. What is printed?

    1. 7
    2. 10
    3. 5
    4. 13

29. 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

30. Write 0.00045 in scientific notation.

    1. 4.5 × 10⁻³
    2. 45 × 10⁻⁵
    3. 4.5 × 10⁻⁴
    4. 4.5 × 10⁴

31. 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

32. 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

33. 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

34. How many strands are in the Ontario Grades 1–8 mathematics curriculum (2020)?

    1. Five
    2. Six
    3. Seven
    4. Four

35. How many 3/8-cup scoops are in 3/4 of a cup?

    1. 3
    2. 1/2
    3. 2
    4. 9/32

36. How much simple interest does $1,500 earn at 4% per year for 3 years?

    1. $1,680
    2. $60
    3. $180
    4. $18

37. How many faces, edges and vertices does a triangular prism have?

    1. 4 faces, 6 edges, 4 vertices
    2. 5 faces, 8 edges, 5 vertices
    3. 6 faces, 12 edges, 8 vertices
    4. 5 faces, 9 edges, 6 vertices

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

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

39. What is the area of a parallelogram with a base of 11 cm and a height of 6 cm?

    1. 33 cm²
    2. 66 cm²
    3. 34 cm²
    4. 17 cm²

40. 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

41. 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

42. The temperature is −7 °C at dawn and rises 12 degrees by noon. What is the noon temperature?

    1. 5 °C
    2. −19 °C
    3. 19 °C
    4. −5 °C

43. On a distance–time graph, a horizontal segment means the traveller is:

    1. stopped
    2. speeding up
    3. moving at a steady speed
    4. walking back home

44. 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

45. 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

46. 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

47. 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

48. A right triangle has legs of 9 m and 12 m. How long is the hypotenuse?

    1. 21 m
    2. 108 m
    3. 15 m
    4. 10.5 m

49. Evaluate 5(a + 1) − a when a = 2.

    1. 15
    2. 13
    3. 8
    4. 11

50. 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

51. A student evaluates 18 − 6 ÷ 3 and gets 4. What is the correct value?

    1. 2
    2. 8
    3. 16
    4. 4

52. Which values of x make 2x − 3 > 7 true?

    1. x > 5
    2. x < 5
    3. x > 2
    4. x > 10

53. According to Growing Success, what is the primary purpose of assessment?

    1. To decide report card comments only
    2. To rank students against each other
    3. To improve student learning
    4. To fill the gradebook with marks

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

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

55. Which is an example of a social-emotional learning skill named in the Ontario math curriculum?

    1. Memorizing all multiplication tables up to 12
    2. Completing worksheets as quickly as possible
    3. Working alone without ever asking any questions
    4. Recognizing sources of stress and coping with challenges

56. 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

57. From which grade do students begin coding in the 2020 Ontario math curriculum?

    1. Grade 5
    2. Grade 9
    3. Grade 1
    4. Grade 7

58. Learning for All describes some strategies as "necessary for some, good for all." What does this mean?

    1. Supports designed for some students often benefit the whole class
    2. They do not help anyone in a regular classroom
    3. Only students with an IEP are allowed to use them
    4. They are optional extras that are rarely used

59. 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

60. 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