Math 9 Practice Exam Q s Multiple Choice Identify the choice that best completes the statement or answers the question.
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1 Math 9 Practice Exam Q s Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Determine the value of. a. 0.3 b c d Calculate the number whose square root is 0.9. a b c d Which fraction is a perfect square? i) ii) iii) iv) a. ii b. iii c. iv d. i 4. Determine the value of. a. b. c. d. 5. A square has an area of 27.8 cm 2. Determine the side length of the square, to the nearest millimetre. a. 5 cm b. 5.2 cm c cm d. 5.3 cm 6. The lengths of the two legs of a right triangle are 6.5 cm 3.4 cm. Determine the length of the hypotenuse to 1 decimal place. a cm b. 7.3 cm c. 5.5 cm d. 3.1 cm 7. This composite object is made using centimetre cubes. Determine its surface area. a. 24 cm 2 b. 20 cm 2 c. 15 cm 2 d. 18 cm 2 8. This composite object is made of a 20-cm cube on top of a 40-cm cube. Determine its surface area. 20 cm 40 cm a cm 2 b cm 2 c cm 2 d cm 2
2 9. This object is composed of a right triangular prism on top of a right rectangular prism. Determine the surface area of the object. 7 cm 4 cm 6 cm 12 cm a. 300 cm 2 b. 372 cm 2 c. 444 cm 2 d. 204 cm This object is composed of two right triangular prisms a right rectangular prism. Determine the surface area of the object. 8 cm 18 cm a. 320 cm 2 b. 608 cm 2 c. 464 cm 2 d. 392 cm This object is composed of a cylinder of diameter 8 cm height 14 cm on top of another cylinder of diameter 12 cm height 6 cm. Determine the surface area of the object, to the nearest square centimetre. 8 cm 8 cm 14 cm 6 cm 12 cm a. 691 cm 2 b. 820 cm 2 c. 836 cm 2 d. 804 cm Each layer of a two-layer cake is a right rectangular prism. The bottom layer has a square base of side length 26 cm height 8 cm. The top layer has a square base of side length 18 cm height 6 cm. The surface of the cake is frosted. What area of the cake is frosted? a cm 2 b cm 2 c cm 2 d cm Which numbers are rational numbers?, 3.6, 0.83, a. 3.6 b. c. All of them d., 3.6,
3 14. Identify equal rational numbers in this list:,,,, a. c.,, b.,, d. 15. Which rational number is represented by the letter A on the number line? 1 A 0 1 a. 0.5 c. 5 b. 0.8 d Identify the greatest rational number.,,, a. b. c. d. 17. Which of these numbers are between?,,, a. b.,, c. d. 18. Evaluate. 19. Evaluate. a b. 1.8 c d a. 25 b. 8 c. 5 d Evaluate. a. 4 b. c. d Calculate the side length, in units, in this proportion: a b c. 4 d Calculate the value of x in this proportion: a b. 0.6 c. 1 d. 0.75
4 23. These triangles are similar. Determine the length of QR to the nearest tenth. K 6 L 8 12 M R P 12 Q a. 16 b. 24 c. 5.3 d Determine the length of AE in this pair of similar triangles. A B 3 E 11 D 4 C a b. 10 c d When the shadow of a flagpole is 31.2 m long, a 1.6-m fencepost casts a shadow 2.6 m long. How tall is the flagpole? a m b m c m d m 26. O is the centre of this circle point T is a point of tangency. Determine the value of n. If necessary, give your answer to the nearest tenth O S n T a. 5.7 b. 51 c. 24 d A circle has radius 8 cm. Which of the following measures could NOT be the length of a chord in the circle: 3 cm, 13 cm, 16 cm, or 19 cm? a. 13 cm c. 19 cm b. 16 cm d. 3 cm
5 28. O is the centre of the circle. Determine the value of s to the nearest tenth, if necessary. H O s 7 K 10 J a. 3 b. 7.1 c d O is the centre of this circle. Determine the value of x. B A 44 O D x C a. 44 c. 180 b. 90 d O is the centre of this circle. Determine the value of m. G F m O 80 H a. 90 c. 180 b. 80 d. 40 Short Answer 31. Determine the value of. 32. A square garden has an area of m 2. a) Determine the length of one side of the garden. b) Determine the perimeter of the garden. 33. Approximate to the nearest tenth.
6 34. Write the rational number represented by each letter on the number line, as a fraction. 3 B 1 1 C Which rational number is less? 4, Insert <, >, or = to make each expression true. a) b) Evaluate. 38. Evaluate Evaluate. 40. Evaluate. 41. Evaluate: 42. When the shadow of an electrical tower is 9.9 m long, a 3.5-m lamp post casts a shadow 5.5 m long. How tall is the electrical tower? 43. O is the centre of this circle point S is a point of tangency. Determine the values of m n. If necessary, give your answers to the nearest tenth. O n 40 m Problem R 29 S 47 T 44. These quadrilaterals are similar. x // // 5.4 cm 10.2 cm 13.2 cm y q 6.8 cm p a) Determine the values of x y. b) If p = 62, determine the value of q.
7 Answer Section MULTIPLE CHOICE 1. ANS: D PTS: 1 DIF: Easy REF: 1.1 Square Roots of Perfect Squares LOC: 9.N5 TOP: Number 2. ANS: A PTS: 1 DIF: Easy REF: 1.1 Square Roots of Perfect Squares LOC: 9.N5 TOP: Number 3. ANS: A PTS: 1 DIF: Easy REF: 1.1 Square Roots of Perfect Squares LOC: 9.N5 TOP: Number KEY: Conceptual Understing 4. ANS: A PTS: 1 DIF: Moderate REF: 1.1 Square Roots of Perfect Squares LOC: 9.N5 TOP: Number 5. ANS: D PTS: 1 DIF: Moderate REF: 1.2 Square Roots of Non-Perfect Squares LOC: 9.N6 TOP: Number 6. ANS: B PTS: 1 DIF: Moderate REF: 1.2 Square Roots of Non-Perfect Squares LOC: 9.N6 TOP: Number 7. ANS: D PTS: 1 DIF: Easy REF: 1.3 Surface Areas of Objects Made from Right Rectangular Prisms LOC: 9.SS2 TOP: Shape Space (3-D Objects 2-D Shapes) 8. ANS: A PTS: 1 DIF: Moderate REF: 1.3 Surface Areas of Objects Made from Right Rectangular Prisms LOC: 9.SS2 TOP: Shape Space (3-D Objects 2-D Shapes) 9. ANS: B PTS: 1 DIF: Easy REF: 1.4 Surface Areas of Other Composite Objects LOC: 9.SS2 TOP: Shape Space (3-D Objects 2-D Shapes) 10. ANS: C PTS: 1 DIF: Easy REF: 1.4 Surface Areas of Other Composite Objects LOC: 9.SS2 TOP: Shape Space (3-D Objects 2-D Shapes) 11. ANS: D PTS: 1 DIF: Easy REF: 1.4 Surface Areas of Other Composite Objects LOC: 9.SS2 TOP: Shape Space (3-D Objects 2-D Shapes) 12. ANS: C PTS: 1 DIF: Easy REF: 1.4 Surface Areas of Other Composite Objects LOC: 9.SS2 TOP: Shape Space (3-D Objects 2-D Shapes) Problem-Solving Skills 13. ANS: C PTS: 1 DIF: Easy REF: 3.1 What Is a Rational Number? LOC: 9.N3 TOP: Number KEY: Conceptual Understing 14. ANS: B PTS: 1 DIF: Easy REF: 3.1 What Is a Rational Number? LOC: 9.N3 TOP: Number KEY: Conceptual Understing 15. ANS: D PTS: 1 DIF: Easy REF: 3.1 What Is a Rational Number? LOC: 9.N3 TOP: Number KEY: Conceptual Understing 16. ANS: A PTS: 1 DIF: Moderate REF: 3.1 What Is a Rational Number? LOC: 9.N3 TOP: Number KEY: Conceptual Understing Procedural Knowledge 17. ANS: B PTS: 1 DIF: Moderate REF: 3.1 What Is a Rational Number? LOC: 9.N3 TOP: Number KEY: Conceptual Understing Procedural Knowledge 18. ANS: D PTS: 1 DIF: Easy REF: 3.6 Order of Operations with Rational Numbers LOC: 9.N4
8 TOP: Number 19. ANS: C PTS: 1 DIF: Moderate REF: 3.6 Order of Operations with Rational Numbers LOC: 9.N4 TOP: Number 20. ANS: C PTS: 1 DIF: Moderate REF: 3.6 Order of Operations with Rational Numbers LOC: 9.N4 TOP: Number 21. ANS: D PTS: 1 DIF: Easy REF: 7.3 Similar Polygons 22. ANS: A PTS: 1 DIF: Easy REF: 7.3 Similar Polygons 23. ANS: D PTS: 1 DIF: Easy REF: 7.4 Similar Triangles 24. ANS: A PTS: 1 DIF: Moderate REF: 7.4 Similar Triangles 25. ANS: D PTS: 1 DIF: Moderate REF: 7.4 Similar Triangles 26. ANS: D PTS: 1 DIF: Moderate REF: 8.1 Properties of Tangents to a Circle LOC: 9.SS1 TOP: Shape Space (Measurement) KEY: Conceptual Understing 27. ANS: C PTS: 1 DIF: Easy REF: 8.2 Properties of Chords in a Circle LOC: 9.SS1 TOP: Shape Space (Measurement) KEY: Conceptual Understing 28. ANS: B PTS: 1 DIF: Moderate REF: 8.2 Properties of Chords in a Circle LOC: 9.SS1 TOP: Shape Space (Measurement) KEY: Conceptual Understing 29. ANS: A PTS: 1 DIF: Easy REF: 8.3 Properties of Angles in a Circle LOC: 9.SS1 TOP: Shape Space (Measurement) KEY: Conceptual Understing 30. ANS: D PTS: 1 DIF: Easy REF: 8.3 Properties of Angles in a Circle LOC: 9.SS1 TOP: Shape Space (Measurement) KEY: Conceptual Understing SHORT ANSWER 31. ANS: PTS: 1 DIF: Easy REF: 1.1 Square Roots of Perfect Squares LOC: 9.N5 TOP: Number 32. ANS: a) The length of one side of the garden is m, or 12.5 m. b) The perimeter of the garden is m, or 50 m. PTS: 1 DIF: Moderate REF: 1.1 Square Roots of Perfect Squares LOC: 9.N5 TOP: Number 33. ANS:
9 PTS: 1 DIF: Easy REF: 1.2 Square Roots of Non-Perfect Squares LOC: 9.N6 TOP: Number 34. ANS: B: 5, C: PTS: 1 DIF: Easy REF: 3.1 What Is a Rational Number? LOC: 9.N3 TOP: Number KEY: Conceptual Understing 35. ANS: 5 2 PTS: 1 DIF: Moderate REF: 3.1 What Is a Rational Number? LOC: 9.N3 TOP: Number KEY: Conceptual Understing 36. ANS: a) b) 3 3 > PTS: 1 DIF: Moderate REF: 3.1 What Is a Rational Number? LOC: 9.N3 TOP: Number KEY: Conceptual Understing Procedural Knowledge 37. ANS: PTS: 1 DIF: Easy REF: 3.6 Order of Operations with Rational Numbers LOC: 9.N4 TOP: Number 38. ANS: PTS: 1 DIF: Easy REF: 3.6 Order of Operations with Rational Numbers LOC: 9.N4 TOP: Number 39. ANS:, or PTS: 1 DIF: Moderate REF: 3.6 Order of Operations with Rational Numbers LOC: 9.N4 TOP: Number 40. ANS: 0.6 PTS: 1 DIF: Moderate REF: 3.6 Order of Operations with Rational Numbers LOC: 9.N4 TOP: Number 41. ANS: PTS: 1 DIF: Difficult REF: 3.6 Order of Operations with Rational Numbers LOC: 9.N3 TOP: Number 42. ANS: 6.3 m
10 PTS: 1 DIF: Moderate REF: 7.4 Similar Triangles 43. ANS: m = 61.7, n = 61 PTS: 1 DIF: Moderate REF: 8.1 Properties of Tangents to a Circle LOC: 9.SS1 TOP: Shape Space (Measurement) KEY: Conceptual Understing PROBLEM 44. ANS: a) So, x = 8.1 cm. So, y = 8.8 cm. b) Since corresponding angles in similar polygons are equal, q = 62. PTS: 1 DIF: Moderate REF: 7.3 Similar Polygons KEY: Conceptual Understing Procedural Knowledge
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