Roland E. Spraguepage 1

Exam

Name______

Roland E. SpraguePage 1

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

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Solve the problem.

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There are 665 jelly beans in a jar. If 44 people take 15 jelly beans each from the jar, then how many are left?

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B 5

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SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

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Provide an appropriate response.

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Is it reasonable to say that the answer for 63 ∙ 11 lies between 60 ∙ 10 and 65 ∙ 15. To which number do you think the answer is closer?

Roland E. SpraguePage 1

It’s closer to the 60*10, because 11 is much closer to 10 than 15.

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You have two numbers made up of the digits 9, 8, 7, 5, 3, where each digit is used only once. One of the numbers has 3 digits and the other has 2 digits. What is the greatest product you can get and what are the corresponding numbers?

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873*95 = 82935

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Place the digits 1, 2, 3, 7, and 8 in the following boxes so that the greatest quotient is obtained.

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873/12 = 72.75

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Place the digits 1, 2, 3, 7, and 8 in the following boxes so that the greatest product is obtained.

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731*82 = 59942

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Without calculating, comment on the statement 2 ∙ 24 ≠ 3 ∙ 23.

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3 and 23 have no common factors with 2 and 24 so they can’t be equal

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The product of two numbers is 50. If you divide the larger number by the smaller number you get 2. What are the numbers?

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xy=50
x/y=2

So: x=2y
2y^2=50

y^2=25

y = 5

x = 2(5) = 10

The numbers are 5 and 10

Roland E. SpraguePage 1

Without calculating, comment on the equation 34 ∙ 9 = 17 ∙ 18.

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17 is half of 34 and 18 is double of 9, so these are equal

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Pam uses front-end estimation and adds 345, 211, 418 as 900 + (50 + 10 + 20) to get the answer 980. Pat rounds the numbers and adds 350 + 200 + 400 to get 950. Who has the better answer?

Roland E. SpraguePage 1

Pam has the better answer, since it’s closer to the real answer of 974

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10)

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Statement: If a number is divisible by 2 and by 3, then it is divisible by 6 and vice versa. Is this statement true? Give an example.

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10)

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Yes, that’s true.

12 is divisible by 2 and 3 (and also 6)

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11)

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Why is the clustering strategy of estimation not a good one to use for adding the numbers 42, 125, 214 and 900?

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11)

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The numbers are very far apart, so they don’t cluster around any central number.

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12)

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During a class test the estimated answer to 141 ∙ 95 varied. One student said a second student said 140 ∙ 90 = 12,600, and a third student estimated the answer to be 141 ∙ 90 = 12,690. Who do you think has the best answer?

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12)

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The first student has the best answer, since it’s closest to the real answer of 13,395

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13)

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While performing a calculation, you divide a number by 5 two times to get the answer 12. You should have divided by 5 only once. What is the correct result of the calculation?

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13)

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12*5 = 60

The right answer is 60

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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

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Use lattice multiplication to find the product.

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14)

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222 × 172

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14)

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D 38184

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38,174

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38,194

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38,284

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38,184

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Determine whether the situation requires an exact calculation or an estimate.

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15)

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This week, the Laketown Cruise Company took its boat on 19 cruises, carrying the boat's full capacity of 46 guests on each cruise. If each guest paid $ 22 admission, then how much admission was collected by the company this week?

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15)

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Exact

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Exact calculation

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Estimate

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Solve the problem.

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16)

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Jane has invited 126 people for a pizza party. If each pizza has 18 slices and she estimates that she needs 3 slices per person, then how many pizzas does she need to order?

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16)

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B 21

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Use the scratch method to find the sum.

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17)

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18,555 + 89,328 + 2603

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17)

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B 110486

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109,486

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110,486

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108,481

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145,486

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Perform the calculation mentally.

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18)

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86 - 48

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18)

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C 38

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Estimate the answer by rounding as indicated.

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19)

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Estimate by rounding to the leftmost digit.

130 × 4823

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19)

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C 500,000

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400,000

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100,000

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500,000

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800,000

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Solve the problem.

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20)

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David's company has to ship 3199 boxes of sprinklers. If a truck can hold 550 boxes, how many trucks does he need to ship all the boxes?

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20)

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A 6

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