Book 3 Final Review

You will now practice all the skills you learned in Book 3. Check your work using the answer key at the end of the review.

If you can’t remember how to do a question, go back to the lesson on this topic to refresh your memory. The unit and topic for each question is listed.

Example:  1-B means Unit 1, Topic B

1-A

A. Find the products.

  1. [latex]\begin{array}{rr}&4\\\times&9\\\hline\end{array}[/latex]

  2. [latex]\begin{array}{rr}&7\\\times&8\\\hline\end{array}[/latex]
  3. [latex]\begin{array}{rr}&2\\\times&6\\\hline\end{array}[/latex]
  4. [latex]\begin{array}{rr}&9\\\times&5\\\hline\end{array}[/latex]
  5. [latex]\begin{array}{rr}&6\\\times&10\\\hline\end{array}[/latex]
  6. [latex]\begin{array}{rr}&0\\\times&3\\\hline\end{array}[/latex]
  7. [latex]\begin{array}{rr}&8\\\times&4\\\hline\end{array}[/latex]
  8. [latex]\begin{array}{rr}&5\\\times&2\\\hline\end{array}[/latex]
  9. [latex]\begin{array}{rr}&10\\\times&10\\\hline\end{array}[/latex]

1-B

B. Find the products.
  1. [latex]\begin{array}{rr}&71\\\times&3\\\hline\end{array}[/latex]
  2. [latex]\begin{array}{rr}&623\\\times&3\\\hline\end{array}[/latex]
  3. [latex]\begin{array}{rr}&8431\\\times&2\\\hline\end{array}[/latex]
  4. [latex]\begin{array}{rr}&5231\\\times&3\\\hline\end{array}[/latex]
C. Find the products.
  1. [latex]\begin{array}{rr}&68\\\times&5\\\hline\end{array}[/latex]
  2. [latex]\begin{array}{rr}&457\\\times&6\\\hline\end{array}[/latex]
  3. [latex]\begin{array}{rr}&9346\\\times&7\\\hline\end{array}[/latex]
  4. [latex]\begin{array}{rr}&1329\\\times&4\\\hline\end{array}[/latex]

D. Find the products.

  1. [latex]\begin{array}{rr}&45\\\times&26\\\hline\end{array}[/latex]
  2. [latex]\begin{array}{rr}&542\\\times&38\\\hline\end{array}[/latex]
  3. [latex]\begin{array}{rr}&3829\\\times&52\\\hline\end{array}[/latex]
  4. [latex]\begin{array}{rr}&463\\\times&179\\\hline\end{array}[/latex]
  5. [latex]\begin{array}{rr}&6314\\\times&231\\\hline\end{array}[/latex]
  6. [latex]\begin{array}{rr}&1425\\\times&537\\\hline\end{array}[/latex]
E. Find the products. Use the shortcut.
  1. [latex]\begin{array}{rr}&1000\\\times&792\\\hline\end{array}[/latex]
  2. [latex]\begin{array}{rr}&9264\\\times&100\\\hline\end{array}[/latex]
  3. [latex]\begin{array}{rr}&1000\\\times&85\\\hline\end{array}[/latex]
  4. [latex]3609\times10=[/latex]
  5. [latex]100\times259=[/latex]
  6. [latex]10\times46=[/latex]
  7. [latex]5719\times1000=[/latex]

1-C

F. Find an estimated product.
  1. [latex]\begin{array}{rr}&72\\\times&38\\\hline\end{array}[/latex]
  2. [latex]\begin{array}{rr}&574\\\times&83\\\hline\end{array}[/latex]
  3. [latex]\begin{array}{rr}&5492\\\times&87\\\hline\end{array}[/latex]
  4. [latex]\begin{array}{rr}&792\\\times&901\\\hline\end{array}[/latex]
  5. [latex]\begin{array}{rr}&8560\\\times&193\\\hline\end{array}[/latex]
  6. [latex]\begin{array}{rr}&29492\\\times&585\\\hline\end{array}[/latex]

1-D

G. Word Problems.

  1. The Great Belt Suspension Bridge in Denmark is 1624 metres How many metres will 24 trucks travel crossing the bridge?
  2. How many cans of peaches are needed to pack 300 boxes if each box has 3 rows and each row has 6 cans? (2 step question)
  3. The Krubera Cave in Georgia is the deepest cave in the world at 2191 metres. Estimate how many metres 348 visitors will cover going down to the cave.

2-A

H. Complete this chart.

Multiplication Division Division “Say”
a) [latex]3\times8 = 24[/latex]

[latex]8\times3 = 24[/latex]

[latex]24 \div8 = 3[/latex]

[latex]24\div3 = 8[/latex]

[latex]\begin{array}{r}3\\8\enclose{longdiv}{24}\end{array}[/latex]

[latex]\begin{array}{r}8\\3\enclose{longdiv}{24}\end{array}[/latex]

“24 divided by 8 is 3”

“24 divided by 3 is 8”

b) [latex]7\times5 = 35[/latex]

 

 

c) [latex]9\times3 = 27[/latex]

 

 

I. Give the answer.

  1. [latex]28 \div 4 =[/latex]
  2. [latex]18 \div 6 =[/latex]
  3. [latex]64 \div 8 =[/latex]
  4. [latex]9\enclose{longdiv}{81}[/latex]
  5. [latex]5\enclose{longdiv}{40}[/latex]
  6. [latex]3\enclose{longdiv}{32}[/latex]

J. Find the quotients.

  1. [latex]8\enclose{longdiv}{60}[/latex]
  2. [latex]5\enclose{longdiv}{49}[/latex]
  3. [latex]9\enclose{longdiv}{43}[/latex]
  4. [latex]3\enclose{longdiv}{19}[/latex]
2-B

K. Using the following list of numbers, answer questions a, b, c and d.

96 345 3 816 6 815 38 433 95 373
  1. Which numbers are divisible by 2?
  2. Which numbers are divisible by 3?
  3. Which numbers are divisible by 5?
  4. Which numbers are divisible by 9?
2-C

L. Find the quotients.

  1. [latex]3\enclose{longdiv}{963}[/latex]
  2. [latex]2\enclose{longdiv}{682}[/latex]
  3. [latex]4\enclose{longdiv}{844}[/latex]
  4. [latex]5\enclose{longdiv}{550}[/latex]
M. Find the quotients.
  1. [latex]9\enclose{longdiv}{387}[/latex]
  2. [latex]6\enclose{longdiv}{492}[/latex]
  3. [latex]5\enclose{longdiv}{915}[/latex]
  4. [latex]7\enclose{longdiv}{469}[/latex]

N. Find the quotients.

  1. [latex]8\enclose{longdiv}{832}[/latex]
  2. [latex]4\enclose{longdiv}{836}[/latex]
  3. [latex]3\enclose{longdiv}{927}[/latex]
  4. [latex]2\enclose{longdiv}{416}[/latex]
O. Find the quotients.
  1. [latex]5\enclose{longdiv}{92}[/latex]
  2. [latex]7\enclose{longdiv}{86}[/latex]
  3. [latex]4\enclose{longdiv}{73}[/latex]
  4. [latex]6\enclose{longdiv}{91}[/latex]

P. Find the quotients.

  1. [latex]3\enclose{longdiv}{851}[/latex]
  2. [latex]8\enclose{longdiv}{509}[/latex]
  3. [latex]2\enclose{longdiv}{407}[/latex]
  4. [latex]7\enclose{longdiv}{954}[/latex]
2-D

Q. Find the quotients.

  1. [latex]24\enclose{longdiv}{480}[/latex]
  2. [latex]58\enclose{longdiv}{928}[/latex]
  3. [latex]36\enclose{longdiv}{1944}[/latex]
  4. [latex]73\enclose{longdiv}{37668}[/latex]

R. Find the quotients.

  1. [latex]10\enclose{longdiv}{683}[/latex]
  2. [latex]1000\enclose{longdiv}{41839}[/latex]
  3. [latex]100\enclose{longdiv}{13041}[/latex]
  4. [latex]1000\enclose{longdiv}{63125}[/latex]
S. Find the quotients.
  1. [latex]348\enclose{longdiv}{8010}[/latex]
  2. [latex]483\enclose{longdiv}{27150}[/latex]
  3. [latex]753\enclose{longdiv}{619345}[/latex]
  4. [latex]73\enclose{longdiv}{37668}[/latex]
2-E

T. Give an estimated quotient. Show your rounding where needed.

  1. [latex]30\enclose{longdiv}{63000}[/latex]
  2. [latex]7000\enclose{longdiv}{8400000}[/latex]
  3. [latex]58\enclose{longdiv}{2894}[/latex]
  4. [latex]438\enclose{longdiv}{23689}[/latex]
  5. [latex]768\enclose{longdiv}{63875}[/latex]
  6. [latex]896\enclose{longdiv}{80986}[/latex]
2-F

U. Word problems.

  1. A satellite orbits the moon every 58 minutes. How many complete orbits does it make 6728 minutes?
  2. If it takes 73 hours to make a snow blower. How many snow blowers can be made in 47815 hours?
  3. There were 10780 tickets sold at the game. There were 150 tickets in each roll. How many complete rolls of tickets were used? How many were sold from the next roll?

V. Solve the cost per unit price.

  1. 6 packages of rice for $12
  2. 2 tubs of yogurt for $8

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

  1. Dog food
    8 kilograms for $16 or 15 kilograms for $45
  2. Movies
    9 movies for $162 or 3 movies for $48

3-B

X. Circle the number of coins or bills you would need to get from the first number to the second number. Make sure to use the least number of coins or bills.

  1. $58 to $60
    4 loonies, 4 toonies
  2. $41 to $50
    4 toonies, 2 $5 bills
  3. $78 to $90
    4 toonies, 2 $10 bills

Y. State the number and kind of coins and bills you would need to get from the first number to the second number. Make sure you use the least number of coins and bills as possible.

  1. $38 to $40
  2. $21 to $40
  3. $76 to $100

Z. State the number and kind of coins and bills you would need to get change from the second number. Make sure you use the least number of coins and bills as possible.

  1. $43 to $100
    Need To get to
  2. $23 to $80
    Need To get to
  3. $58.37 to $100
    Need To get to
  4. $62.71 to $100
    Need To get to

AA. State the number and kind of coins and bills you would need to get change from $100.  Make sure you use the least number of coins and bills as possible.


  1. Bread maker for $61.59

  2. Shop vacuum cleaner for $84.43
  3. Mrs. Chui bought building blocks for $33.44.  How much change will she get from $100?

3-C

AB. Circle the letter of the most reasonable measure.

  1. Depth of the ocean
    1. 3926 mm
    2. 3926 km
    3. 3926 m
  2. Thickness of string
    1. 5 mm
    2. 5 cm
    3. 5 m
  3. Distance from the earth to moon
    1. 3476 m
    2. 3476 mm
    3. 3476 km
  4. Length of a banana
    1. 15 km
    2. 15 mm
    3. 15 cm

AC. Choose the most reasonable measure.

  1. A spoonful of medicine
    1. 5 L
    2. 5 mL
    3. 50 mL
  2. A bottle of orange juice
    1. 4 mL
    2. 4 L
    3. 40 L
    1. A tube of toothpaste holds 130         .
    2. The gas tank of a car holds 70         .

AD. Choose the most reasonable measure.

  1. A sugar cube has a mass of
    1. 1 g
    2. 10 g
    3. 10 kg
  2. A cat weighs
    1. 7 mg
    2. 7 kg
    3. 7 g
    1. A headache pill has 375         of medicine

AE. Write the base unit of measure and then the prefix if one is needed.

Item Base Prefix (if needed)
a) Thickness of a rope
b) Water in a bathtub
c) A bag of rice
d) Length of a table

AF. Find the area of each shape.

a.rectangle. length 45 millimetre, width 29 millimetre

b.square. 54 centimetres

AG. Find the perimeter and area of each shape

a. rectangle. length 82 metres, width 65 metres

b.

square. side 53 millimetre

c. Tiananmen Square measures 880 metres by 500 metres Find the perimeter and area of Tiananmen

d. Andrèe wants to build a square patio whose side is 13 Find the perimeter and area of her new patio.

Answers to Book 3 Review

A.

  1. 36
  2. 56
  3. 12
  4. 45
  5. 60
  6. 0
  7. 32
  8. 10
  9. 100

B.

  1. 213
  2. 1869
  3. 16862
  4. 15693

C.

  1. 340
  2. 2742
  3. 65422
  4. 5316

D.

  1. 1170
  2. 20596
  3. 199108
  4. 82877

E.

  1. 792000
  2. 926400
  3. 85000
  4. 36090
  5. 25900
  6. 460
  7. 5719000

F.

  1. [latex]70 \times 40 = 2800[/latex]
  2. [latex]600\times80=48000[/latex]
  3. [latex]5000\times90=450000[/latex]
  4. [latex]800\times900=720000[/latex]
  5. [latex]9000\times 200=1800000[/latex]
  6. [latex]30000\times600=18000000[/latex]

G.

  1. 38976 metres
  2. 5400 cans
  3. 600000 metres

H.

Multiplication Division Division “Say”
 

a)

[latex]3 \times 8 = 24[/latex]

[latex]8 \times 3 = 24[/latex]

 

[latex]24 \div 8= 3[/latex]

[latex]24 \div 3= 8[/latex]

[latex]\begin{array}{r}3\\8\enclose{longdiv}{24}\end{array}[/latex][latex]\begin{array}{r}8\\3\enclose{longdiv}{24}\end{array}[/latex]  “24 divided by 8 is 3” 

“24 divided by 3 is 8”

 

b)

 

[latex]7 \times5 = 35[/latex]

[latex]5 \times 7 = 35[/latex]

 

[latex]35 \div 5= 7[/latex]

[latex]35 \div 7= 5[/latex]

[latex]\begin{array}{r}7\\5\enclose{longdiv}{35}\end{array}[/latex][latex]\begin{array}{r}5\\7\enclose{longdiv}{35}\end{array}[/latex]  “35 divided by 5 is 7”

“35 divided by 7 is 5”

 

c)

[latex]9 \times 3 = 27[/latex]

[latex]3 \times 9 = 27[/latex]

[latex]27 \div 3 = 9[/latex]

[latex]27 \div 9 = 3[/latex]

[latex]\begin{array}{r}9\\3\enclose{longdiv}{27}\end{array}[/latex][latex]\begin{array}{r}3\\9\enclose{longdiv}{27}\end{array}[/latex]  “27 divided by 3 is 9”

“27 divided by 9 is 3”

I.

  1. 7
  2. 3
  3. 8
  4. 9
  5. 8
  6. 7

J.

  1. 7 R4
  2. 9 R4
  3. 4 R7
  4. 6 R1

K.

  1. 96, 3816
  2. 96, 345, 3816, 38433, 95373
  3. 345, 6815
  4. 3816, 95373

L.

  1. 321
  2. 341
  3. 211
  4. 110

M.

  1. 43
  2. 82
  3. 183
  4. 67

N.

  1. 104
  2. 209
  3. 309
  4. 208

O.

  1. 18 R2
  2. 12 R2
  3. 18 R1
  4. 15 R1

P.

  1. 283 R2
  2. 63 R5
  3. 203 R1
  4. 136 R2

Q.

  1. 20
  2. 16
  3. 54
  4. 516

R.

  1. 68 R3
  2. 418 R839
  3. 130 R41
  4. 63 R125

S.

  1. 23 R6
  2. 56 R102
  3. 822 R379
  4. 516

T.

  1. 2100
  2. 1200
  3. [latex]30000\div60=50[/latex]
  4. [latex]24000\div400=60[/latex]
  5. [latex]64000\div800=80[/latex]
  6. [latex]81000\div900=90[/latex]

U.

  1. 116 orbits
  2. 655 snow blowers
  3. 71 full rolls, 130 tickets

V.

  1. $2
  2. $4

W.

  1. $2, $3, best buy is 8 kilograms for $16
  2. $18, $16, best buy is 3 movies for $48

X.

  1. 1 toonie
  2. 2 toonies, 1 $5 bill
  3. 1 toonie, 1 $10 bill

Y.

  1. 1 toonie
  2. 2 toonies, 1 $5 bill, 1 $10 bill
  3. 2 toonies, 1 $20 bill

Z.

  1. $43 to $100
    Need To get to
    1 toonie $45
    1 $5 bill $50
    1 $10 bill $60
    2 $20 bills $100
  2. $23 to $80
    Need To get to
    1 toonie $25
    1 $5 bill $30
    1 $10 bill $40
    2 $20 bill $80
  3. $58.37 to $100
    Need To get to
    3 pennies $58.40
    1 dime $58.50
    2 quarters $59.00
    1 loonie $60.00
    2 $20 bill $100.00
  4. $62.71 to $100
    Need To get to
    4 pennies $62.75
    1 quarter $63.00
    1 toonie $65.00
    1 $5 bill $70.00
    1 $10 bill $80.00
    1 $20 bill $100.00

AA.

  1. 1 penny, 1 nickel, 1 dime, 1 quarter, 1 loonie, 1 toonie, 1 $5 bill, 1 $10 bill, 1 $20 bill
  2. 2 pennies, 1 nickel, 2 quarters, 1 $5 bill, 1 $10 bill
  3. 1 penny, 1 nickel, 2 quarters, 1 loonie, 1 $5 bill, 3 $20 bill

AB.

  1. iii
  2. i
  3. iii
  4. iii

AC.

  1. ii
  2. ii
  3. mL
  4. L

AD.

  1. i
  2. ii
  3. mg

AE.

Item Base Prefix (if needed)
a) Thickness of a rope m m
b) Water in a bathtub L
c) A bag of rice g k
d) Length of a table m c

AF.

  1. [latex]1305 \text{ mm}^2[/latex]
  2. [latex]2916 \text{ cm}^2[/latex]

AG.

  1. [latex]P=294 \text{ m}[/latex], [latex]A = 5330 \text{ m}^2[/latex]
  2. [latex]P = 212 \text{ mm}[/latex], [latex]A = 2809 \text{ mm}^2[/latex]
  3. [latex]P = 2760 \text{ m}[/latex], [latex]A = 440000 \text{ m}^2[/latex]
  4. [latex]P = 52 \text{ m}[/latex], [latex]A = 169 \text{ m}^2[/latex]

CONGRATULATIONS!!

Now you have finished Book 3 Final Review.

TEST TIME!

Ask your instructor for the practice test.

Once you’ve done the practice test, you need to do the Book 3 Final Review 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.