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FORMULAE

Surface Area

Cylinder

2π r2+2 πrhCone

π r2+πrsSphere

4 π r2

Volume

Pyramid13Ah

Cone13π r2h

Sphere43πr 3

Conversions

1 foot = 12 inches 1 yard = 3 feet 1 mile = 1760 yards

1 inch = 2.54 centimetres 2.5 centimetres≐ 1 mile 1.6 kilometres≐

Selected Response: Circle the appropriate response on the answer sheet or SCANTRON.

1. Which is the best referent for one centimetre?

(A) distance from the floor to a door knob(B) length of a five-dollar bill(C) thickness of a dime(D) width of a paper clip

2. What is the slant height of a cone with diameter 12mm and height 17mm ?

(A) 16 mm(B) 17 mm(C) 18 mm(D) 21 mm

3. What is 19.75 yards in yards, feet, and inches?

(A) 19 yards, 2 feet, 6 inches(B) 19 yards, 2 feet, 3 inches(C) 19 yards, 2 feet(D) 19 yards, 9 inches

4. Which is a good referent for 1 inch?

Mathematics 1201Common Mathematics Assessment – June 2013

A) distance from a doorknob to the floorB) thickness of a dimeC) thickness of a hockey puckD) width of your hand

5. Which Imperial unit is best for measuring the length of a hockey rink?A) kilometresB) metresC) miles

D) yards

6. The length of a table is 3 metres. What is the approximate length in inches?A) 75B) 120C) 750D) 1200

7. A cone has a diameter of 12.4 cm and a slant height of 9.3 cm. What is the surface area to the nearest cm2? A) 201B) 220C) 302D) 845

9. A square-based pyramid has side length 3.2 ft. and a height of 4.5 ft. What is the volume to the nearest ft.3?A) 5 B) 15C) 19D) 46

10. Simplify: 3√108

(A) 3 3√4

(B) 27 3√4

(C) 6 3√3

(D) 36 3√3

11. Which statement is true about 3600?

(A) It is a perfect cube.(B) Its only factors are 360 and 10.(C) Its square root is an irrational number.(D) Its prime factorization is 24 ⋅32 ⋅52 .

of 11Eastern School District


12. What is 3√52expressed as a power?

(A) 5−32

(B) 5−23

(C) 523

(D) 532

13. A student did not receive full marks for her solution to the question below. In which step did she make the first error?

Simplify: (a−2b7)−5

¿¿Solution: Step 1: a−7b2

a5b0

Step 2: a−7−5b2−0

Step 3: a−12b2

Step 4: b2

−a12

(A) 1(B) 2(C) 3(D) 4

14. What are the prime factors of 120 ? A) 2, 3, 5B) 23, 3, 5C) 10, 20, 30, 40, 60, 120D) 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

15. What is the exact value of ?

A)

B)

C)

D)

16. Which is irrational?

A)

B)

C)

D)



17. What is expressed as a radical?

A)

B)

C)

D)

18. What is the least common multiple of 252 and 600?A) 36B) 210C) 2100D) 12600

19. What is the correct order, from least to greatest, of these mixed radicals?

A)

B)

C)

D)

20. What is as a mixed radical in simplest form?

A)

B)

C)

D)

21. Simplify:

A)B)

C)

D)



22. Which binomial product is modelled?

(A) (−2 x+3 )(−x+2)

(B) (−2 x+3 )(x+2)

(C) (2 x−3 )(x+2) (D) (2 x−3 )(x−2)

23. Expand and simplify: (a−3b )(2a−b)

(A) 2a2+3b2

(B) 3a−4 b

(C) 2a2−7 ab+3b2

(D) 3a2−6ab−4b2

24. What is the greatest common factor of 16 x2 y3 , 8 x3 y2 , and −24 x3 y3 ?

(A) 4 x2 y2

(B) 4 x3 y3

(C) 8 x2 y2

(D) 8 x3 y3

25. Factor completely: x2−6 x+5

(A) ( x−1 )(x−5)(B) ( x−2 )(x−3)(C) ( x−1 )(x+5)(D) ( x+6 )(x−1)

26. Factor completely: 4 x2−36

(A) 2(2 x2−18)

(B) 4 (x2−9)

(C) (2 x−6 )(2 x+6)

(D) 4 ( x−3 )(x+3)



27. What is the missing value if the given polynomial is a perfect square trinomial?

25 x2+ [? ]+16

(A) 9 x(B) 18 x(C) 20 x(D) 40 x

28. Which multiplication is represented by the algebra tiles? (Note: Shaded tiles are positive.)A) (2 x2+2)(x2−3)B) (2 x−2)(x+3)C) (2 x2−2)(x2+3)D) (2 x+2)(x−3)

29. Factor completely: 24 ab2−16a2b2 A) ab2(24−16a)B) 4 ab(b−4ab)C) 8(3ab2−2a2b2)D) 8ab2(3−2a)

30. Expand and simplify: (6 x+7)(5−x )A) −6 x2−37 x+35B) −6 x2−23 x+35C) −6 x2+23x+35D) −6 x2+37 x+35



31. Which model represents (x + 5)(x – 2) ?

A)

B)

C)

D)

32. Which trinomial has (x−3) as a factor? A) x2−5 x−6 B) x2−x−6



C) x2+ x−6D) x2+5 x−6

33. Factor: 25 x2−36 y2

A) (5 x−6 y )(5 x−6 y)B) (5 x−6 y )(5 x+6 y )C) (5 x+6 y)(5 x+6 y )D) (6 y+5 x)(6 y−5 x)

Constructed Response: Answers to be written on this paper in the space provided. Show all workings.

34. A shed is constructed by using a rectangular prism for the walls with a triangular prism for the roof. Determine the surface area of the garage to the nearest square foot. (Do not include the shed floor.)

[4 points]



35. A right square pyramid has a volume of 182.4c m3. Determine the side length of its base to the nearest cm.

[2 points]

36. A polling organization uses the telephone book to randomly select people for a survey. They choose every 20th person to ask question #1, every 28th person to ask question #2, and every 30th person to ask question #3. In which position in the phone book is the first person to be asked all three questions?

[3 points]



37. The area of a square is 121x 4 y2. What is the expression for the perimeter of the square? [2 points]

38. Simplify: (−54 x6 y2x−3 y4 )

43

[4 points]

39. Expand and simplify: (2 x−5 ) ( x+7 )2 [3 points]

40. Determine the expression, in simplest form, for the area of the shaded region:

[3 points]



41. Factor completely: x2−81 [3 points]

. 42 A right square pyramid has side length 36 cm and slant height 30 cm. What is the volume of the pyramid to the nearest cm3.

2 43. The surface area of a sphere is 804.2 in.2. What is the radius of the sphere?



4 44. Joe made a wooden scratching post for his cat and wants to cover it with carpet. About how much carpet will he need if he covers everything except the bottom of the square block?

3 45. Julie completed a math problem and made a mistake. In which step does the first error occur? Rewrite Julie’s solution so that it is correct.

The error occurs in step _______

Correct solution:



3 46. Simplify: (the final answer must contain only positive exponents)

4 47. The surface area of a cube is 96 cm2. Determine the length of the diagonal, x, of one of the faces. Express your answer in simplest radical form.

3 48. Expand and simplify: (2 x−7)(3 x2+4 x+2)

3 49. Factor completely: 4 x2+8 x❑+4



4 50. Valerie plans to put siding on the front of her garage pictured below. Find an expression (in simplest form) to represent the area of the surface to be covered with siding. (Note: There will be NO siding on the two doors.)


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