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application of Mathematics grade 10 level 4

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; Subject: ; Class: ; with 40 questions; test in 40 minutes; update 06/07/2018
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Question 1.

The diameter of a tray is 42 cm and the diameter of a glass is 56 mm. Based on math calculations, a server thought he would be able to fit 56 glasses onto the tray. In fact, he is able to fit only 37 glasses. Approximately how much space on the tray is not covered by glasses?

(A)

1800 cm2

(B)

475 cm2

(C)

185 cm2

(D)

155 cm2

Question 2.

The quilt shown below was created with two different fabric colours. Estimate the ratio of dark fabric to light fabric.

(A)

1:1

(B)

1:3

(C)

2:3

(D)

3:4

Question 3.

The Vernier calliper shown below is calibrated in SI units. What is the measurement on the calliper?

(A)

2.01 cm

(B)

2.12 cm

(C)

2.55 cm

(D)

3.05 cm

Question 4.

The foundation walls of a cabin are constructed as follows: • 8\({1\over 4}\) " thick concrete • 2\({7\over 8}\) " thick insulation board on both interior and exterior sides • \({1\over 2}\) " thick cedar on the exterior side only Which solution would be used to determine the total thickness of the foundation walls?

(A)

2(2\({7\over 8}\) + \({1\over 2}\)) + 8\({1\over 4}\)

(B)

8\({1\over 4}\) - (2\({7\over 8}\) + \({1\over 2}\))

(C)

8\({1\over 4}\) + 2\({7\over 8}\) + \({1\over 2}\)

(D)

\({1\over 2}\) + 2(2\({7\over 8}\)) + 8\({1\over 4}\)

Question 5.

How many sheets of \({5 \over 8}\)" plywood are in a sling load (or stack) 5' high?

(A)

37

(B)

38

(C)

80

(D)

96

Question 6.

The area of a picture is 2925 mm2 . Express this area in cm2 .

(A)

2.925

(B)

29.25

(C)

292.5 

(D)

29 250

Question 7.

In a gymnasium, a basketball “key” is a painted area on the floor. It consists of a semicircle plus a rectangle, as shown below. Find the area of the semicircle.

(A)

2.65 m2

(B)

5.31 m2

(C)

10.62 m2

(D)

21.24 m2

Question 8.

Find the surface area of the cone drawn below.

(A)

75.4 sq in

(B)

120.13 sq in

(C)

245.0 sq in

(D)

468.2 sq in

Question 9.

Which statement correctly expresses a similarity between two triangles in the diagram below?

(A)

ΔAGB ∼ ΔCED

(B)

ΔAGB ∼ ΔACF

(C)

ΔACF ∼ ΔADE

(D)

ΔAFC ∼ ΔADE

Question 10.

What does ATM stand for?

(A)

Automated Teller Machine

(B)

Automatic Terminal Machine

(C)

Automatic Teller Mechanism

(D)

Automated Transaction Mechanism

Question 11.

John made the following transactions:

His balance on June 9 was $165.12. He is charged $0.50 for each ATM withdrawal and $0.75 for each cheque. What is his current balance?

(A)

$15.60

(B)

$93.85

(C)

$95.60

(D)

$144.09

Question 12.

Ryan has a savings account with a balance of $336.55. During the month, he made the following debit transactions: $50, $20, $30, $40 and the following credit transaction of $100. What is the closing balance in his pass book?

(A)

$196.55

(B)

$240.00

(C)

$296.55

(D)

$376.55

Question 13.

Use the form below to reconcile the transaction record and statement of account on the previous page.

what is the final balance?

(A)

$839.63

(B)

$846.78

(C)

$996.90

(D)

$1003.85

Question 14.

What does EI stand for?

(A)

Emergency Income

(B)

Employment Insurance

(C)

Emergency Insurance

(D)

Employment Income

Question 15.

Sheila’s bank balance is $75.50. She needs to pay her $75.36 credit card bill, $40.00 phone bill, and dinner bill for $10.79. What is the minimum amount of money she needs to deposit into her bank account?

(A)

$29.35

(B)

 $50.65

(C)

$50.93

(D)

$126.15

Question 16.

. Ben can take a salary increase of 5 5. % every six months or 11 2. % every year. After one year his salary will be greater with the 5 5. % every six months.

(A)

Statement is always true.

(B)

Statement is sometimes true

(C)

Statement is never true.

(D)

Question 17.

A family’s annual net income is $41 720.00. They spend 4% of this amount each year eating at restaurants. Which of the following best shows the average amount they spend each month in restaurants?

(A)

$140

(B)

$170

(C)

$1390

(D)

$1670

Question 18.

Sue is paid an hourly wage of $9.00 for a 40-hour week and time-and-a-half for overtime. What is her pay, before any deductions, for one week during which she worked 46 h?

(A)

$360.00

(B)

$414.00

(C)

$441.00

(D)

$474.00

Question 19.

In which year will Job A pay more than Job B?

(A)

3rd

(B)

4th

(C)

5th

(D)

6th

Question 20.

Which of the following is the least effective use of a spreadsheet when operating a small business?

(A)

budget

(B)

hockey pool

(C)

inventory

(D)

payroll

Question 21.

. What value would be inserted into cell C3?

(A)

$0.95

(B)

$1.40

(C)

$12.57

(D)

$15.16

Question 22.

Which formula would be inserted into cell E2?

(A)

= A2 + C2 + D2

(B)

. = A2 + B2 + C2

(C)

= SUM (A2 :D2)

(D)

= AVERAGE (A2 :D2)

Question 23.

What is the most efficient way to insert $9.10 into cells C2, C3, C4, C5 and C6?

(A)

Use the fill command.

(B)

Re-type $9.10 in each cell.

(C)

Use the formula = B2* C2.

(D)

Use the copy/paste functions.

Question 24.

If the value of cell F4 is 418 then the value of cell E4 is 1.5.

(A)

The statement is always true.

(B)

The statement is sometimes true.

(C)

The statement is never true.

(D)

Question 25.

olve the proportion \({r \over 27}\) = \({36\over12}\)

(A)

9

(B)

12

(C)

56

(D)

81

Question 26.

If $1.00 Canadian costs 70 cents US, how many US dollars will $15.00 Cdn purchase?

(A)

$10.50

(B)

$14.30

(C)

$15.70

(D)

$21.43

Question 27.

To celebrate the restaurant’s 5th anniversary, Wally advertised 2-for-1 coupons in the newspaper.

Five friends each have a hamburger and a soft drink. They use 2 coupons and leave an $8 tip. Tax is 7% on all meals. To the nearest dollar, what amount should each person pay if they share the cost equally?

(A)

$5

(B)

$6

(C)

$7

(D)

$8

Question 28.

Cereal for the restaurant can be bought in two sizes of similar shape. Box A holds 80 g of cereal. How many grams of the same cereal should Box B hold?

(A)

640

(B)

480

(C)

320 

(D)

160

Question 29.

What is the least expensive rate per 100 mg of Vitamin C?

(A)

$0.06

(B)

$0.07

(C)

$0.08

(D)

$0.09

Question 30.

Given right triangle ABC with a = 4, b = 5, c = 6.403, calculate tan A.

(A)

0.8

(B)

1.25

(C)

38.6

(D)

51.3

Question 31.

The length of a shadow cast by a maple tree is 12 m. At the same time, the length of a shadow cast by a 1.5 m sunflower plant is 2 m. How tall is the tree?

(A)

8 m

(B)

9 m

(C)

10 m

(D)

12 m

Question 32.

What is the length of the base? (Round to the nearest metre.)

(A)

37

(B)

43

(C)

52

(D)

86

Question 33.

Two trees are 50 feet apart. Nikki is standing between the trees, 25 feet from each tree. She notes that the angle of elevation to the top of one tree is 20° and to the other is 30°. What is the difference in the height of the trees?

(A)

1.8 feet

(B)

3.9 feet

(C)

5.3 feet

(D)

9.1 feet

Question 34.

Which of the following units can area be measured in?

(A)

km, miles

(B)

. cm, inches

(C)

cm2 , inch2

(D)

cm3 , inch3

Question 35.

Facial tissue is sold in two different sizes. Box A contains 60 tissues. How many facial tissues does Box B contain?

(A)

720

(B)

480

(C)

420

(D)

144

Question 36.

The Yearbook Club decides to cut costs for the yearbook by reducing the picture size of personal photos. The original pictures have dimensions of 3.5 cm by 4.0 cm.

If each dimension is reduced by 15%, what is the area of the final reduced photo, to the nearest tenth?

(A)

10.1 cm2

(B)

11.1 cm2

(C)

11.9 cm2

(D)

14.0 cm2

Question 37.

Wally is considering buying a rug for his restaurant. It costs $600 for a circular rug that is 3 m in diameter.

If cost is based on area, what would it cost for a circular rug that is 6 m in diameter?

(A)

$1200.00

(B)

$2400.00

(C)

$3600.00

(D)

$4800.00

Question 38.

If the area of HEBK is 81 and the area of GAEF is 36, what is the area of square ABCD?

(A)

289

(B)

256

(C)

225

(D)

144

Question 39.

Five out of six representations of a box are completed using isometric dot paper. Which lettered dot is the corner that completes the final representation?

(A)

letter A

(B)

letter B

(C)

letter C

(D)

letter D

Question 40.

On a particular ski trip, people were asked how many days they planned to ski. How many people responded to the survey?

(A)

200

(B)

100

(C)

60

(D)

50

Question 1    Question 2    Question 3    Question 4    Question 5    Question 6    Question 7    Question 8    Question 9    Question 10    Question 11    Question 12    Question 13    Question 14    Question 15    Question 16    Question 17    Question 18    Question 19    Question 20    Question 21    Question 22    Question 23    Question 24    Question 25    Question 26    Question 27    Question 28    Question 29    Question 30    Question 31    Question 32    Question 33    Question 34    Question 35    Question 36    Question 37    Question 38    Question 39    Question 40   
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