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MFM 2P1 Final Exam Review
Grade 10 Applied Mathematics
____
K/U
Part A: Knowledge and Understanding:
1. The graph of the function y = -2x2 + 3 is a:
a. parabola which opens down with vertex (0, 3)
b. straight line with y-intercept 3
c. parabola which opens up with vertex (0, 3)
d. straight line with y-intercept -2
2. A computer salesman’s salary is represented by the equation W = 300 + 0.04s, where W is the
salesman’s salary in dollars, and s is the salesman’s sales in dollars. How many computers must
the salesman sell in order to earn $800?
3. The equation of the line with slope 5 through point (3, 10) is:
4. State the solution for the linear system: 4x – 2y = 12 and 4x + 2y = 8
5. One Norwegian Kroner, 1 k, is worth $0.21 Cdn. What does it cost to buy 800 k?
6. Jeff buy’s 300g of Fuzzy Peaches for $1.55. How many grams of Fuzzy Peaches can Nate buy if he
has $3.00 to spend on candy?
7. If sin A = 0.620, then what is  A to the nearest degree?
8. If  A measures 40º, then what is tan A to 3 decimal places?
9. A function is defined by y = -2x + 5. Which of the following points lie on the function?
a. (-1, 7)
b. (2, 8)
c. (0, -3)
d. (-4, 3)
10. Which of the following equations represents a quadratic function?
a. P = 5(w -100)
b. A = 2x2 + 1
c. y = 2x + 1
d. y =
1
+3
x
11. The parabola represented by the equation y = -13x2 + 1 has:
a. a maximum
b. a minimum
c. both a and b
d. neither a nor b
12. The value of the trinomial -r2 – 3r – 10, when r = -1 is:
13. A right triangle has sides that are 6 m and 7 m. Find the length of its hypotenuse:
14. Solve the following proportion. a : 5 = 21 : 15
15. June and May share a prize of $5400 in the ratio of 5:2 respectively. How much did June receive?
16. Kim can type at a rate of 55 words per minute. How long will it take her to type a 1200-word essay?
17. Convert the following to a unit rate. 8 meters in 3 months.
18. Find 37% of $525
19. Find the percentage increase in price from $45 to $550.
20. Find the percentage decrease in price from $84 to $45.
21. Solve for x, given the equation x – 7 = 23
22. Solve for a, given the equation 48 – 2a = -10
23. Solve for r, given the equation: – 5(2 – 3r) – 2 = 2(r + 3)
24. The equation of a line passing through point (0, -4) with a slope of 9 is:
25. Which one of these equations is NOT in standard form:
a. 25x + 3y + 6 = 0
b. 25x – 3y + 1 = 0
c. x – 3y – 5 = 0
d. 2y – 5x + 22 = 0
e. none of the above are in standard form
26. The ordered pair (-2, -5) would be found in what quadrant?
a. I
b. II
c. III
d. IV
27. Rewrite the equation 4x – 2y – 10 = 0 in the form of y = mx + b:
28. Determine the equation of the line represented in the table of values below:
x
0
1
2
y
-2
2
6
29. Amanda claims that ∆MPQ ~ ∆TDK. If MP = 8 and TD = 4 and PQ = 40, then DK is:
30. Determine the length of side b of a right triangle using the Pythagorean Theorem if side c = 16 and
side a = 11; where c is the hypotenuse.
31. A pole 5 m high cases a 6 m shadow. A nearby tree casts a 15 m shadow. What is the height of the
tree?
32. A tree is 7 m tall and the angle of elevation to the sun is 5˚. What is the length of the tree’s shadow?
33. A rocket is launched at an angle of 80˚ to the ground and travels in a straight line. Find the rocket’s
altitude after it has traveled 15 km horizontally:
34. A ladder leaning against a wall reaches a height of 3 m up the wall and makes an angle of 70˚ with
the ground. What is the length of the ladder?
35. The trigonometric ratios can only be used in:
a. Scalene triangles
b. Isosceles triangles
c. Right triangles
d. 2 of the above but not all of the above
e. All of the above
36. To 4 decimal places, sin45º is equal to:
a. 0.7072
b. 0.0072
c. 0.702
d. 0.70
e. 0.7071
37. The line that divides a parabola in half is called the _______________________ and its highest or
lowest point is called the __________________.
a. parabola, vertex
b. vertex, reflection
c. vertex, axis of symmetry
d. axis of symmetry, vertex
e. axis of symmetry, parabola
38. The total number of faces on a hexagonal prism is :
a. 4
b. 6
c. 8
d. 10
e. 12
39. The volume of a 5 cm by 7 cm rectangular pyramid with height of 4 cm is ___ cubic cm.
a. 46.67
b. 147
c. 21
d. 20
e. 246.67
40. Factoring the following: 80r3 + 32r2
a. 4r2(20r + 8)
b. 8r2(10r + 4)
c. 16r2(5r + 2)
d. 4r(20r2 + 8r)
e. none of the above
41. Factor the following: x2 + 8x + 15
a. (x + 15)(x + 1)
b. (x + 5)(x - 3)
c. (x - 5)(x - 3)
d. (x + 3)(x + 5)
e. none of the above
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42. Factor the following: 121x2 – 64y2
a. (8x – 11y)(8x + 11y)
b. (11x – 8y)(11x + 8y)
c. (11y – 8x)(11y + 8x)
d. 2 of the above but not all of the above
e. none of the above
43. Factor the following: 8x3y2 – 2x
a. 2x(4x2y2 – 1)
b. 2x(2xy + 1)(2xy + 1)
c. 2x(2xy – 1)(2xy – 1)
d. 2x(2xy + 1)(2xy – 1)
e. none of the above
44. Expand: (3x – 5)(x – 5)
a. 3x2 – 20x + 25
b. 3x2 – 10x + 25
c. 3x – 15x + 25
d. 3x2 – 20x + 10
e. none of the above
45. Expand and simplify: 4(x – 2)(3x – 5)
a. 3x2 – 11x + 10
b. 12x2 – 44x + 40
c. 12x2 – 4x + 10
d. 12x2 – 44x - 40
e. none of the above
46. Solve the following quadratic equation: x2 + 6x = -9
a.
b.
c.
d.
e.
x = 3 and x = -3
x = -3
x = 5 and x = 4
x = 6 and x = 1
none of the above
47. Find the surface area of the object below:
a.
b.
c.
d.
e.
24.3π
32.6π
44.8π
36.2π
16.0π
48. In the function, y = x2 + 6x - 5 the coordinates of the y-intercept (where x is zero) is:
a. (0, 6)
b. (0, 11)
c. (0, 0)
d. (0, 5)
e. (0, -5)
49. In the function, y = x2 + 3x – 4 the x-intercepts are (solve for x when y is zero):
a. 4 and 3
b. 1 and -4
c. 4 and -1
d. 3 and -4
e. None of the above
50. If I weigh 200 pounds, how many kilograms (kg) do I weigh?
a. 100
b. 76
c. 10
d. 91
e. None of the above
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51. The mathematical name for the expression “2x² + 3x + 3” is:
a. A trinomial
b. A bicycle
c. A binomial
d. Both (a) and (c)
e. None of the above
52. The formula most useful for finding the surface area of the label of a soup can without removing it is:
a. r²
b. 2rh
c. 4r²
d. rs
e. lw
53. The longest side of a right triangle is referred to as the:
a. adjacent
b. hypotenuse
c. opposite
d. the longest side
e. all of the above could be referred to as the longest side
54. The mathematical shape of a quadratic function’s graph is:
a. A horseshoe
b. A parabola
c. A hump
d. The letter “U”
e. An S-curve
55. 200 grams is the same as:
a. 2000 mg
b. 20000mg
c. 200000mg
d. 200mg
e. 20mg
You have reached the end of this exam…