# Lesson Worksheet: Estimating Quotients Mathematics

In this worksheet, we will practice estimating the result of a division by a one-digit number using compatible numbers.

Q1:

Which of the following is the best estimate of the quotient ?

• A500
• B700
• C60
• D70
• E600

Q2:

Yara, Mariam, and Nada went to a restaurant for dinner. The bill of their meals amounted to 207 pounds. Estimate how much each of them had to pay if they shared the cost of the bill equally between them.

Q3:

Estimate the quotient of the following operation: .

Q4:

Bassem has made a table of multiples of 6. Help him use the table to estimate .

 Number Multiple of 6 7 8 9 10 11 12 13 14 42 48 54 60 66 72 78 84

Find the missing multiples of 6 to finish the sentence:

70 is between and .

• A72, 78
• B60, 66
• C66, 72
• D54, 60
• E78, 84

Hint: Which multiple of 6 is it closest to?

Q5:

Karim tries to study for the same amount of time each day. If the number of hours Karim studied in a week is equal to 23 hours, estimate the number of hours he studied in one day.

Q6:

Which of the following divisions could be used to estimate the quotient of using compatible numbers?

• A
• B
• C
• D
• E

Q7:

Karim is estimating the quotient of .

Fill in the blanks: The quotient lies between and .

• A50, 60
• B80, 90
• C90, 100
• D60, 70
• E70, 80

Fill in the blank: The quotient is closer to .

• A60
• B80
• C70
• D90
• E100

Q8:

We can use multiples of 5 to estimate the answer to .

 Number Number × 5 13 14 15 16 17 65 70 ⋯ ⋯ ⋯

Think about the missing numbers in the table to answer the questions.

82 is closest to .

Q9:

Maged is using facts he knows to estimate . What is ?

Pick the number which is closest to .

• A45
• B72
• C6
• D50
• E60

Q10:

Layan wants to estimate the quotient of . She thinks of two ways to do this. The first one is and the second one is .

Layan chose the second division as 32 is closer to 35 than 40 and estimated the quotient to be 4.

Follow Layan’s method to estimate the quotient of .