Unit 2 Review: Division

You will now practice all the skills you learned in Unit 2. Check your work using the answer key at the end of the review.

A. Complete this chart

Multiplication Division Division “Say”
a) [latex]5\times3=15[/latex]
[latex]3\times5=15[/latex]
[latex]15\div3=5[/latex]
[latex]15\div5=3[/latex]
[latex]\begin{array}{r}5\\3\enclose{longdiv}{15} \end{array}[/latex]
[latex]\begin{array}{r}3\\5\enclose{longdiv}{15} \end{array}[/latex]
“15 divided by 3 is 5.”
“15 divided by 5 is 3.”
b) [latex]3\times6=18[/latex]
c) [latex]3\times7=21[/latex]
d) [latex]5\times9=45[/latex]

B. Give the answer.

  1. [latex]56\div7=[/latex]
  2. [latex]40\div8=[/latex]
  3. [latex]54\div9=[/latex]
  4. [latex]6\enclose{longdiv}{42}[/latex]
  5. [latex]9\enclose{longdiv}{72}[/latex]
  6. [latex]8\enclose{longdiv}{32}[/latex]

C. Find the quotients.

  1. [latex]7\enclose{longdiv}{68}[/latex]
  2. [latex]4\enclose{longdiv}{29}[/latex]
  3. [latex]5\enclose{longdiv}{24}[/latex]
  4. [latex]6\enclose{longdiv}{53}[/latex]
D. For each number, identify if it is divisible by 2, 3, 5, and, 9.
# Number 2 3 5 9
a) 135
b) 384
c) 4614
d) 495
e) 648
f) 745

E. Find the quotients.

  1. [latex]8\enclose{longdiv}{296}[/latex]
  2. [latex]6\enclose{longdiv}{252}[/latex]
  3. [latex]4\enclose{longdiv}{732}[/latex]
  4. [latex]5\enclose{longdiv}{175}[/latex]

F. Find the quotients.

  1. [latex]3\enclose{longdiv}{86}[/latex]
  2. [latex]4\enclose{longdiv}{97}[/latex]
  3. [latex]2\enclose{longdiv}{71}[/latex]
  4. [latex]5\enclose{longdiv}{59}[/latex]

G. Find the quotients.

  1. [latex]7\enclose{longdiv}{615}[/latex]
  2. [latex]2\enclose{longdiv}{647}[/latex]
  3. [latex]3\enclose{longdiv}{781}[/latex]
  4. [latex]9\enclose{longdiv}{839}[/latex]

H. Find the quotients.

  1. [latex]8956\div42=[/latex]
  2. [latex]32\enclose{longdiv}{832}[/latex]
  3. [latex]69140\div56=[/latex]
  4. [latex]312\enclose{longdiv}{9984}[/latex]
  5. [latex]41082\div334=[/latex]
  6. [latex]781\enclose{longdiv}{39752}[/latex]
  7. [latex]275\enclose{longdiv}{55661}[/latex]
  8. [latex]307\enclose{longdiv}{91838}[/latex]

I. Find the quotients.

  1. [latex]1000\enclose{longdiv}{38645}[/latex]
  2. [latex]18592\div100=[/latex]
  3. [latex]4923\div10=[/latex]
  4. [latex]100\enclose{longdiv}{17342}[/latex]

J. Quickly find the quotients. Remember to cancel the same number of zeros in both the divisor and dividend in each question.

  1. [latex]200\enclose{longdiv}{50000}[/latex]
  2. [latex]6000\enclose{longdiv}{360000}[/latex]
  3. [latex]40000\enclose{longdiv}{1600000}[/latex]
  4. [latex]70000\enclose{longdiv}{6300000}[/latex]

K. Give an estimated quotient. Show your rounding.

  1. [latex]37\enclose{longdiv}{15725}[/latex]
  2. [latex]54\enclose{longdiv}{8478}[/latex]
  3. [latex]768\enclose{longdiv}{63721}[/latex]
  4. [latex]6267\enclose{longdiv}{536497}[/latex]
L. Word Problems
  1. At the Kaizen Factory, 14325 cars were put together in 5 days. Each day the same number of cars were built. How many cars were built each day?
  2. The Blaster Rubber Company needs to make 6912 hockey pucks. Mr. Frost, the foreman, says that their machines can make the pucks in 12 hours. How many pucks would be made in one hour?
  3. The distance between Fort St. John and Kimberley is 1092 km. What was your average speed if the trip took 12 hours?
  4. The new stadium has 15981 seats divided evenly into 76 sections. Estimate how many seats are in each section?

M. Solve the cost per unit price.

  1. 4 rolls of hockey tape for $8
  2. 4 cans of butane fuel for $12

N. Solve the unit price and then underline the best buy.

  1. 2 L of antifreeze for $6 or 5 L of antifreeze for $10
  2. 8 kilograms of bird seed for $16 or 4 kilograms of bird seed for $12

O. Word Problems.

  1. The bakery uses 43 kilograms of butter in each batch of shortbread cookies. How many batches of shortbread can be made from 3569 kilograms of butter?
  2. Each crate that the men unloaded weighed 175 kilograms. If they unloaded 232 crates, how many kilograms did they unload?
  3. The parts factory produced 4173 less parts this month than last month. The factory produced 49736 parts this month. How many parts did the factory produce last month?
  4. Three Eastjet jets were flown 24826 kilometres, 9423 kilometres and 56015 kilometres. What is the total kilometres the three jets were flown?

Answers to Unit 2 Review

A. Complete this chart

# Multiplication Division Division “Say”
a) [latex]5\times3=15[/latex]
[latex]3\times5=15[/latex]
[latex]15\div3=5[/latex]
[latex]15\div5=3[/latex]
[latex]\begin{array}{r}5\\3\enclose{longdiv}{15} \end{array}[/latex]
[latex]\begin{array}{r}3\\5\enclose{longdiv}{15} \end{array}[/latex]
15 divided by 3 is 5.
15 divided by 5 is 3.
b) [latex]3\times6=18[/latex]
[latex]6\times3=18[/latex]
[latex]18\div6=3[/latex]
[latex]18\div3=6[/latex]
[latex]\begin{array}{r}3\\6\enclose{longdiv}{18} \end{array}[/latex]
[latex]\begin{array}{r}6\\3\enclose{longdiv}{18} \end{array}[/latex]
18 divided by 3 is 6.
18 divided by 6 is 3.
c) [latex]3\times7=21[/latex]
[latex]3\times7=21[/latex]
[latex]21\div7=3[/latex]
[latex]21\div3=7[/latex]
[latex]\begin{array}{r}3\\7\enclose{longdiv}{21} \end{array}[/latex]
[latex]\begin{array}{r}7\\3\enclose{longdiv}{21} \end{array}[/latex]
21 divided by 7 is 3.
21 divided by 3 is 7.
d) [latex]5\times9=45[/latex]
[latex]9\times5=45[/latex]
[latex]45\div9=5[/latex]
[latex]45\div5=9[/latex]
[latex]\begin{array}{r}5\\9\enclose{longdiv}{45} \end{array}[/latex]
[latex]\begin{array}{r}9\\5\enclose{longdiv}{45} \end{array}[/latex]
45 divided by 9 is 5.
45 divided by 5 is 9.

B. Give the answer.

    1. 8
    2. 5
    3. 6
    4. 7
    5. 8
    6. 4

C. Find the quotients.

    1. 9 R5
    2. 7 R1
    3. 4 R4
    4. 8 R5

D. For each number, identify if it is divisible by 2, 3, 5, and, 9.

Number 2 3 5 9
a) 135 No Yes Yes Yes
b) 384 Yes Yes No No
c) 4614 Yes Yes No No
d) 495 No Yes Yes Yes
e) 648 Yes Yes No Yes
f) 745 No No Yes No

E. Find the quotients.

    1. 37
    2. 42
    3. 183
    4. 35

F. Find the quotients.

    1. 28 R2
    2. 24 R1
    3. 35 R1
    4. 11 R4

G. Find the quotients.

    1. 87 R6
    2. 323 R1
    3. 260 R1
    4. 93 R2

H. Find the quotients.

    1. 213 R10
    2. 26
    3. 1234 R36
    4. 32
    5. 123
    6. 50 R702
    7. 202 R111
    8. 299 R45

I. Find the quotients.

    1. 38 R645
    2. 185 R92
    3. 492 R3
    4. 173 R42

J. Quickly find the quotients. Remember to cancel the same number of zeros in both the divisor and dividend in each question.

    1. 250
    2. 60
    3. 40
    4. 90

K. Give an estimated quotient. Show your rounding.

    1. [latex]1600 \div 40=400[/latex]
    2. [latex]8500\div50=170[/latex]
    3. [latex]64000\div800=80[/latex]
    4. [latex]540000\div6000=90[/latex]

L. Word Problems

    1. 2865 cars per day
    2. 576 pucks per hour
    3. 91 km per hour
    4. [latex]16000\div80=200[/latex] 200 seats per section

M. Solve the cost per unit price.

    1. $2
    2. $3

N. Solve the unit price and then underline the best buy.

    1. $3, $2, 5 L of antifreeze for $10 is the best buy
    2. $2, $3, 8 kilograms of bird seed for $16 is the best buy

O. Word Problems.

    1. 83 batches
    2. 40600 kilograms
    3. 53909 parts
    4. 90264 kilometres

CONGRATULATIONS!!

Now you have finished Unit 2.

TEST TIME!

Ask your instructor for the practice test for this unit.

Once you’ve done the practice test, you need to do the unit 2 test. Again, ask your instructor for this.

Good luck!

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Fundamentals of Mathematics 3 Copyright © 2023 by Wendy Tagami and Liz Girard is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.