MPM1D Grade 9 PRACTICE EXAM
INSTRUCTION AND INFORMATION
1.Calculators are allowed and may not be shared.
2. The marking scheme is indicated beside each question.
3. Answer in the space provided.
4. Attempt all questions and show your work where applicable.
Total marks: 100
Part A: True/False, Matching, Multiple Choice (44 marks)
Only your final answer is required. It is recommended that you work through these sections quickly, spending no more than 35 minutes in total.
True/False:Indicate whether the statement is true or false by printing T or F in the blank provided.
1.When a linear relation has a point on the line it is called a partial variation. ______
2.A mean fit line is more accurate than a line of best fit. ______
3.The slope of a line can be determined using the equation
. ______
4.A census is when a random sample is taken of 10% of the population.
______
5. ______
6. “Rate of change” is another expression for slope. ______
7.The diagonals of any rhombus are perpendicular. ______
8.The volume of any cube is always greater than its surface area. _____
9. A pyramid and a prizm with the same base and height have the same volume. ______
10. Interpolation is when a prediction is made withing the data values.
Matching: Match each description below to one of the following terms.
Note: there are more terms than descriptions.
X-intercept, parallel lines, slope, perpendicular lines, reciprocals, standard form, point of intersection, y-intercept.
11.For a horizontal line, this is zero. ______
12.These lines have the same slope. ______
13.For a vertical line, the value of x
is constant and equal to this. ______
14.This is where two lines meet. ______
15.For the line, this is 6. ______
16. The numbers 3 and are examples of this. ______
17.This is the name for an equation of
the line in the form ______
Multiple Choice:
Identify the choice that bestcompletes the statement or answers the question. Circle your choice. There is space given below/beside some questions so that you can perform any calculations necessary.
18. Which expression is equivalent to
a) 9x – 2 b) 8x – 4 c) 11x + 4 d) 9x + 14
19.Which is the simplified form of ?
a) 15 b) 15 c) d)
20. What is the value of ?
a) b) c) d) 2
21.In which pair the expressions are equal?
a) and b) 2and8
c) and d)and
22. What is the equation of the line with a slope of and y-intercept of 9?
a) b) c) d)
23. The motion on this distance-time graph can be described as follows.
a) The person is accelerating uphill.
b) The person is walking toward the motion detector.
c) The person is walking away from the motion detector.
d) The person is walking at a constant rate uphill.
24.Which of the following is a primary source of data?
a) conducting a survey among your classmates;
b) researching the effects of air pollution on plant groth;
c) data collected 100 years ago by the Canadian government;
d) the number of cars produced by GN each year since 2000.
25.Which expression can be simplified?
a)2 c) 8
b) d)
26.Which graph represents a direct variation?
27.Simplify:
a) b)
c) d)
28.Use first differences to determine which relation is linear.
a)Both A and B are linear c) Only B is linear
b)Only A is linear d) Neither A nor B is linear
29.The highest desirable pulse rate, p, in beats per minute, for people is given by the formula, where a is a person’s age, in years. What is the highest desirable pulse rate for a 20-year old?
a) 160 b) 72 c) 176 d) 120
30.The perimeter of a rectangle is 36 m. If the length is three times the width, what is the length?
a) 4.5 m b) 13.5 m c) 18 m d) 9 m
31.The line passing through the points (6, 2) and (9, p) has a slope of
–1. What is the value of p?
a) –1 b) 3 c) 1 d) –3
32.What is the equation of the line parallel to with the same x-intercept as
a) y = 2x + 4 b) y = 2x – 8 c) y = –2x + 4 d)
33.Which of the following statements is true?
a) The figure that results from joining the midpoints of the sides of a quadrilateral is a parallelogram.
b) The diagonals of a rectangle bisect each other.
c) The line segment joining the midpoints of two sides of a triangle is half the length of the third side.
d) All of these.
34.Which best describes the diagonals of any rectangle?
a) They are perpendicular to each other.
b) They have the same length.
c) They busect each other at .
d) None of these.
35. For the line , which statement is true?
a) The x-intercept is 3, and the y-intercept is – 4.
b) The x-intercept is 8, and the y-intercept is – 6.
c) The x-intercept is 3, and the y-intercept is 6.
d)The x-intercept is 8, and the y-intercept is – 24.
36.Which of the following statements is true?
a) The sum of the interior angles of a triangle is.
b) The sum of the exterior angles of a triangle is .
c) The sum of the interior and exterior anglesat any vertex of a triangle is.
d) All of these.
37.The length of the side y, to the nearest centimeter, is
a) 21 cm b) 29 cm c) 25 cm d) 24 cm
38.A come has a volume of 314.16 and a radius of 5 cm.What is it height to the nearest tenth of a centimeter?
a) 10.1 cm b) 12.0 cm c) 11.3 cm d) 12.8 cm
39.A hockey puck has a radius of 3.7 cm and a thickness of 2.6 cm. What is its volume, to the nearest cubic centimeter?
a) 101 b) 109 c) 108 d) 112
40.What is the equation of the line that passes through (– 2, 5) and is parallel to the line y = 3x + 2?
a) y = 3x + 5 b) y = 3x – 2 c)y = 3x + 11 d)y = 3x – 1
41.Which one of the following is a stratified random sample?
a) The CEO of Ace Manufacturing Company selects employees from one branch to survay.
b) The CEO of a company selects the same draction of employees fromeach branch to survey.
c) A department store randomly selects a name from an alphabetic list of customers and selects every 10th customer before and after that name to conduct a survey.
d) The school principal interviews one class to survey student views on dress code.
42.The equation of the line which and is parallel to the line and passes through the point (–3, 4)is
a) b)
c) d) + 24 = 0
43.The equation the line which and is perpendicular to the line
andpasses through the point (-3, 4)is
a) b)
c) + 25= 0 d) + 24= 0
44.The equation the line which and isperpendicular to the line and passes through the point (-3, 4)is
a) b) c) d)
Part B: Full Solution (56 marks)
You must show clearly presented solutions foe each question in order to earn full marks. Plan to spend approximately one minute per question. Diagrams are not drawn to scale.
Complte these prctice questions in your notebook.
45. Simplify by removing the brackets and collecting like terms.
46. Solve each equation.
a)
b)
c)
47. The formular for the volume of a cylinder is , whereh is the height and r is the radius of the cylinder.
a) Rearrange the formular to isolate r.
b) What is the radius, to the nearest tenth of a centimeter, of a cylinder that is 12 cm high and has a volume of 500 ?
48.a) Find an equation for the line with the slope 3 passing through the origin.
b)Find an equation for the line perpendicular to the line in part a) that also passes through the origin.
49.Kate is walking at a constant speed in front of a motion sensor. After 2 s, she is 2.5 m from the sensor, and after 4 s, she is 5.5 m from the sensor. Find the equation that describes Kate’s motion in the form d = mt + b.
50.Graph the equations y = x – 2 and x + y = 6 and findthepoint of intersection?
51. The Fun Toys Company is planning to produce new toy trucks.
Each one costs $3 to make and there is a $300 set-up charge for machinery to make them.
a) What will it cost to make first n trucks?
b) The company sells the trucks for $5 each. How much does the company receive for selling n trucks?
c) Howmany trucks does the company need to make and sell to make a profit?
52.Jim’s charges $9.50 for a plain large pizza and charges 50 cents for each additional topping. Pizza Pizza announces that they have a special price this week of $12 for any pizza, with any amount of toppings! Determine the equation that represents each relation. How many toppings would you need to order from Jim’s so that the prices were the same?
53.Determine the equation of the line that:
a) is parallel to and passes through the point (– 3, 10). Express your answer in slope/y-intercept form.
b) passes through the points (4, –7) and (– 2, – 4).Express your answer in standard form.
c) has the slope passes through the point of intersection of the lines and .
54. Carola and Terri are riding their bicycles home from school. Carola leaves immediately. The graph shows their distances travelled.
a)What is the speed of each girl in km/h?
b)Describe their trips home based on information given in the graph. Use numbers and mathematical language for this description.
55.Determine the perimeter and area of the shaded figure accurate to 3 decimal places.
56.Find the measures of the unknown angles. Show your work.