BAHAMIAN MATHEMATICS LEVEL B PAGES 1-20

LEVEL B

Bahamian

Student Workbook

This book belongs to:

Name: ____________________________________________________

Grade: __________ Teacher: ________________________________

School: ___________________________________________________

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Identifying the Math Strands

You can easily identify the Math strand by checking the page number located at the top of each page:

1-65 66-88 89-104 105-121 122-137 138-145

Number Geometry Measurement Algebra Probability Sets

Sense

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Bahamian

LEVEL B

Student Workbook

TABLE OF CONTENTS

Number Sense

Geometry

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Bahamian

LEVEL B

Student Workbook

TABLE OF CONTENTS

Statistics & Probability

Measurement

Set Theory

Patterns, Functions & Algebra

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Bahamian

Student Workbook

LEVEL B

C.W.R. HIGGS

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It’s the LAW!

1

Associative Property – states that the way you group three numbers when you add or multiply them does not

change their sum or product. (a+b) + c = a + (b+c) (a×b) × c = a × (b×c)

Commutative Property – states that the order in which you add or multiply two numbers does not change their

sum or product. a+b = b+a axb = bxa

Distributive Property – states that multiplying a sum by a number gives the same result as multiplying each

addend by the number and then adding the products. a(b + c) = (a x b) + (a x c)

1. Write A for Associative Property, C for Commutative Property or D for Distributive Property

a) _______ 3 + 4 = 4 + 3 b) _______ d(3 + a) = 3d + ad c) _______ xy = yx

d) _______ g + h + 2 = g + 2+ h e) _______ (2 + 5) + 7 = 2 + (5 + 7) f) _______ (6 x 5)a = 6(5a)

g) _______ (4 x 6) x 3 = 4 x (6 x 3) h) _______ 2 x 9 = 9 x 2 i) _______ 40 + 16 = 4(10 + 4)

j) _______ 4(e + 8) = 4e + 32 k) _______ 3(4 x 6) = (4 x 6)3 l) _______ ab + c = c + ab

m) _______ 2n(4n - 1) = 8n 2 – 2n n) _______ w 2 + 4y 3 = 4y 3 + w 2 o) _______ (xy)z = x(yz)

2. Using the associative property, complete the equations below:

a) (2 + 5) + 7 = ____________ b) (a x 9) x a 2 = ____________ c) (2x 2 + 4) + 3 = ____________

3. Using the commutative property, complete the equations below:

a) 2 + 5 = ____________ b) 13 x a 2 = ____________ c) 4e 4 x 4 = ____________

4. Using the distributive property, complete the equations below:

a) a(2 + 5) = ____________ b) 13(a 2 + 2)= ____________ c) 4e (e + 4) = ____________

5. Using the terms 5, m 2 and 3m, write TWO equations that satisfy the associative, commutative and distributive

properties.

a) associative:_________________________________ ______________________________________

b) commutative: _______________________________ ______________________________________

c) distributive: _________________________________ ______________________________________

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BODMAS

2

B – brackets, O-of, D-division, M-multiplication, A-addition, S-subtraction.

1. Calculate - Using the principles of BODMAS, calculate the following:

a) 3 x 4 + 2 b) 10 – 6 ÷ 2 c) 12 – (9-7) d) 3 x (8-2) e) 2 + 5 x 3

f) ½ of 8 + 6 g) ½ of (8+6) h) 6 x (½ of 10) + 2 i) 15 - (5x2) j) 20÷ 4 + 16

2. Calculate - Using the principles of BODMAS, calculate the following:

a) 5 x (4 + 2) b) 10 ÷ (8 ÷ 4) c) 20 + (¾ of 16) d) 2 + (5-7)

e) ¼ of (½ of 24) f) (4 + 6) ÷ (3 x 4) g) (4 x 6) ÷ (3 + 4) h) 4 x (6 ÷ 3) + 4

3. Calculate - Using the principles of BODMAS, calculate the following:

a) 9 + 6 x (8 - 5) b) (14 - 5) ÷ (9 - 6) c) 8 × 6 - 45 ÷ 5 d) 16 ÷ 4 + 24 ÷ 6

e) 150 ÷ (6 + 3 x 8) - 5 f) 8 x 7 + 28 ÷ (½ of 8) - 3 g) 9 - 5 ÷ (8 - 3) x 2 + 6

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Math Facts – Addition & Subtraction

3

1. Addition: Calculate the sum.

a) 4,547 + b) 1,344 + c) 2,975 + d) 9,514 +

3,935 5,499 12,033 13,837

e) 7,798 + f) 63,961 + g) 8,068 + h) 9,594,694 +

23,294 359 99,999 84,203

i) 31,547 + j) 51,344 + k) 1,564,975 + l) 116,514 +

41,935 945,499 6,234,033 53,837

m) 27,698 + n) 1,463,961 + o) 99,998,068 + p) 6,584,091 +

32,752 653 5,347,939 59,407

2. Subtraction: Calculate the difference.

a) 94,010 - b) 2,841 - c) 54,241 - d) 10,987,987 -

54,982 1,642 49,688 4,987,988

e) 9,452,021 - f) 285,263 - g) 5,000,000 - h) 833,326 -

5,039,692 1,099 309,598 748,339

i) 601,112 - j) 42,841 - k) 52,710 - l) 10,223,456 -

54,982 3,642 33,819 8,477,247

m) 7,652,797 - n) 645,784 - o) 5,123,000 - p) 635,332 -

2,345,675 7,562 255,653 234,345

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Eating Out

4

Use the menu below from Tasty’s Restaurant to answer the questions that follow:

Appetizers

Chicken Wings ........................... $4.95

Conch Fritters ............................ $5.50

Cheese Fries ............................... $6.95

Onion Straws .............................. $4.75

Chicken Strips ............................ $5.25

Beverages

Sodas ............................................. $1.25

Smoothie ...................................... $2.75

Fruit Punch .................................. $1.75

Coffee ........................................... $1.95

Main Dishes

Fried Chicken ............................. $6.75

Cracked Conch .......................... $9.95

Steamed Grouper ................... $11.75

Stewed Mutton ........................... $8.75

Curried Chicken ........................ $7.95

Side Orders

Macaroni ...................................... $2.50

French Fries ................................ $2.05

Cole Slaw ..................................... $1.95

Potato Salad ................................ $1.95

Desserts

Carrot Cake ............................... $4.55

Chocolate Cake ......................... $4.85

Cheesecake ................................. $5.95

Apple Pie...................................... $5.25

KeyLime Pie ................................ $5.65

Ice Cream

Chocolate .................................... $1.45

Vanilla ........................................... $1.55

Strawberry .................................. $1.65

Chocolate Chip .......................... $2.25

1. Find the total for each person’s meal:

a) Matthew: chicken wings, stewed mutton with macaroni,

carrot cake for dessert and fruit punch.

b) Kerri: steamed grouper with potato salad,

cheesecake with vanilla ice cream for dessert and a soda.

c) Charles: curried chicken with french fries,

and coffee.

d) Brianna: conch fritters with cole slaw,

keylime pie with strawberry ice cream for dessert and a smoothie.

e) Zachary: cracked conch with cheese fries,

apple pie with chocolate ice cream for dessert and a soda.

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f) What was the TOTAL BILL? __________________

g) How much change would they get from $200? __________________

2. Looking at the Menu:

a) Which main dish is the most expensive? __________________

b) Which two appetizers combined total $10.75? __________________

c) You bought one of every main dish on the menu. What is your total? __________________

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Math Facts – Multiplication

5

1. Multiplication: Calculate the product.

a) 52,254 x b) 693,925 x c) 91,806 x d) 982,586 x

9 8 7 6

e) 21,641 x f) 336,274 x g) 345,623 x h) 546,754 x

4 5 9 3

i) 4,415 x j) 14,402 x k) 23,344 x l) 9,102 x

23 27 50 74

2. Multiplication: Calculate the product

a) 5,254 x b) 69,941 x c) 61,849 x d) 152,385 x

35 68 17 28

e) 3,536 x f) 47,315 x g) 52,758 x h) 635,872 x

135 327 409 628

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Math Facts – Division

6

Division: Calculate the quotient.

a) 3 354

b) 4 5,669

c) 6 34,543

d) 7 35,744

e) 8 697

f) 9 4,998

g) 7 68,366

h) 6 98,654

i) 12 8,988

j) 14 32,214

k) 34 324,190 l) 47 985,214

m) 52 533,548

n) 63 72,445

o) 76 854,654 p) 84 785,757

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Integers – Addition & Subtraction

7

-11 –10 –9 –8 \

–7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9 10 11 12 13

1. Add

a) _______ -1 + (-4) f) _______ -15 + (+8) k) _______ -6 + (-8)

b) _______ -2+ (+6) g) _______ -34 + (6) l) _______ -3 + (+7)

c) _______ 3 + (-5) h) _______ -5 + (+5) m) _______ -7 + (-6)

d) _______ -8 + (+1) i) _______ -39 + (-2) n) _______ -44 + (+2)

e) _______ -4 + (-7) j) _______ -72 + (+18) o) _______ -62 + (-6)

2. Add

a) _______ -4 + (+5) f) _______ 16 + (+4) k) _______ -3 + (+6)

b) _______ 5 + (-9) g) _______ -25 + (+4) l) _______ 6 + (-5)

c) _______ 2 + (+4) h) _______ 6 + (-7) m) _______ -7 + (-4)

d) _______ -5 + (-6) i) _______ -5 + (+3) n) _______ 36 + (+7)

e) _______ -4 + (-3) j) _______ 56 + (-13) o) _______ -25 + (-8)

3. Subtract

a) _______ 5 - (+2) f) _______ -3 - (-1) k) _______ 2 - (+3)

b) _______ -7 - (-7) g) _______ 0 - (+6) l) _______ -4- (-4)

c) _______ 4 - (+7) h) _______ -7 - (-5) m) _______ 8 - (+6)

d) _______ -5 - (-4) i) _______ 2 - (+14) n) _______ -7 - (-15)

e) _______ 27 - (-16) j) _______ -35 - (-12) o) _______ 24 - (-26)

4. Subtract

a) _______ -2 - (-2) f) _______ 5 - (-2) k) _______ 5 - (+2)

b) _______ 0 - (+6) g) _______ -7 - (+4) l) _______ -7- (-4)

c) _______ -1 - (-4) h) _______ 8 - (+6) m) _______ 4 - (+4)

d) _______ -13 - (+3) i) _______ -12 - (-19) n) _______ -15 - (-15)

e) _______ -54 - (-46) j) _______ 54 - (+13) o) _______ 73 - (-45)

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Integers – Multiplication & Division

8

-11 –10 –9 –8 \

–7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9 10 11 12 13

1. Multiply

a) _______ 1 x (-4) f) _______ -12 x (+8) k) _______ -9 x (-7)

b) _______ 5 x (+7) g) _______ -11 x (-5) l) _______ 11 x (+8)

c) _______ 4 x (-6) h) _______ -10 x (+8) m) _______ -12 x (-5)

d) _______ 7 x (+2) i) _______ -7 x (-9) n) _______ 10 x (+8)

e) _______ 3 x (-7) j) _______ -6 x (+12) o) _______ -6 x (-6)

2. Multiply

a) _______ -3 x (-2) f) _______ 10 x (+7) k) _______ -9 x (-12)

b) _______ -4 x (-4) g) _______ 11 x (-6) l) _______ 7 x (+11)

c) _______ -5 x (-3) h) _______ 12 x (+5) m) _______ -11 x (-10)

d) _______ -6 x (-5) i) _______ 9 x (-4) n) _______ 12 x (+12)

e) _______ -7 x (-6) j) _______ 8 x (+3) o) _______ -8 x (-22)

3. Divide

a) _______ 4 ÷ (+2) f) _______ -16 ÷ (-4) k) _______ 22 ÷ (+11)

b) _______ 12 ÷ (-3) g) _______ -10 ÷ (+2) l) _______ -24÷ (-8)

c) _______ 15 ÷ (+5) h) _______ -21 ÷ (-7) m) _______ 36 ÷ (+3)

d) _______ 9 ÷ (-3) i) _______ 24 ÷ (+6) n) _______ -48 ÷ (-4)

e) _______ 8 ÷ (-2) j) _______ -30 ÷ (-5) o) _______ 56 ÷ (-7)

4. Divide

a) _______ 6 ÷ (-2) f) _______ -60 ÷ (+5) k) _______ -120 ÷ (-10)

b) _______ -18 ÷ (+2) g) _______ 20 ÷ (-5) l) _______ -132÷ (+11)

c) _______ 33 ÷ (-3) h) _______ -50 ÷ (+10) m) _______ 144 ÷ (-12)

d) _______ -35 ÷ (+7) i) _______ -64 ÷ (-8) n) _______ 25 ÷ (+5)

e) _______ -49 ÷ (-7) j) _______ 72 ÷ (+8) o) _______ -63 ÷ (-9)

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Rounding

9

1. Round to the nearest ten.

a) _______ 479.32 b) _______ 455 c) _______ 53,432 d) _______ 1,565

e) _______ 134.9 f) _______ 1,575 g) _______ 54.06 h) _______ 9,554

i) _______ 5,652.3 j) _______ 16,849 k) _______ 49.32 l) _______ 111.40

2. Round to the nearest whole number.

a) _______ 49.32 b) _______ 0.675 c) _______ 697.2 d) _______ 7.089

e) _______ 1.9055 f) _______ 14.087 g) _______ 0.06 h) _______ 17.592

i) _______ 450.9 j) _______ 199.98 k) _______ 49.32 l) _______ 0.82

3. Round to one decimal place.

a) _______ 69.52 b) _______ 0.841 c) _______ 0.298745 d) _______ 0.089

e) _______ 1.9731 f) _______ 19.084 g) _______ 0.2547 h) _______ 10.505

i) _______ 157.439 j) _______ 294.9528 k) _______ 98.69 l) _______ 0.587

4. Round to two decimal places.

a) _______ 49.542 b) _______ 0.5790 c) _______ 0.2655 d) _______ 0.089

e) _______ 1.64321 f) _______ 62.465 g) _______ 0.006 h) _______ 19.785

i) _______ 727.465 j) _______ 274.4661 k) _______ 99.995 l) _______ 0.197

5. Round to three decimal places.

a) _______ 26.5642 b) _______ 0.544879 c) _______ 0.969874 d) _______ 0.0489

e) _______ 2.34534 f) _______ 23.5441 g) _______ 0.0357 h) _______ 9.7585

i) _______ 667.7661 j) _______ 2.23689 k) _______ 99.9955 l) _______ 0.1957

6. Round the number 3,502.5496 to the nearest:

a) ___________________whole number b) ___________________ ten

c)___________________one decimal place

d) ___________________ two decimal places

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Significant Figures

10

1. Round off the following numbers to 1 s.f., 2 s.f., 3 s.f. and 4 s.f. (The first one is done for you)

Number 1 significant figure 2 significant

figures

3 significant

figures

4 significant

figures

a) 546.52 500 550 547 546.5

b) 8.0296

c) 7.0384

d) 3.7998

e) 18.502

f) 267.06

g) 17.786

h) 0.06752

i) 0.3059

j) 0.03355

k) 0.006307

2. Round off the following numbers to 1 s.f., 2 s.f., 3 s.f. and 4 s.f. (The first one is done for you)

Number 1 significant figure 2 significant

figures

3 significant

figures

4 significant

figures

a) 0.009256 0.009 0.0093 0.00926 0.009256

b) 8.0659

c) 7.1987

d) 5.5784

e) 47.599

f) 9,182.6

g) 74,450

h) 2.0564

i) 0.05689

j) 0.02047

k) 0.001471

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Decimals – Recurring, Terminating

11

1. Write R for Recurring or T for Terminating to describe the type of decimals shown below:

a) _______ 0.454545 b) _______ 0.5 c) _______ 0.625 d) _______ 0.777777

e) _______ 0.875 f) _______ 0.333333 g) _______ 0.714285174285 h) _______ 0.016016016

i) _______ 0.166666 j) _______ 0.65 k) _______ 0.11111111 l) _______ 0.98

2. Write R for Recurring or T for Terminating to describe the type of decimals shown below:

a) _______ 0.375 b) _______ 0.555555 c) _______ 0.625625625 d) _______ 0.821821821

e) _______ 0.14781478 f) _______ 0.78 g) _______ 0.98749874 h) _______ 0.85

i) _______ 0.626262 j) _______ 0.01 k) _______ 0.01010101 l) _______ 0.4698469846

3. Convert the following fractions to decimals. Then circle R for Recurring or T for Terminating to describe the

type of decimals shown below:

a) R T 7

8

__________________ b) R T __________________

20

=

9

=

c) R T 2

1

__________________ d) R T = __________________

3

=

5

e) R T 9

1

__________________ f) R T __________________

16 = =

8

7

3

g) R T __________________ h) R T __________________

12 = 11

=

i) R T

1

1

__________________ j) R T __________________

25 = 3

=

k) R T 6

3

= __________________ l) R T = __________________

7

26

4. Re-write the following recurring decimals correctly. (The first one is done for you)

a) __________0.304304304 b) __________0.8555555 c) __________0.62151515

d) __________0.714285714285 e) __________0.08999999 f) __________0.914914914

g) __________0.72727272 h) __________0.20787878 i) __________0.91919191

j) __________0.458745874587 k) __________0.16666666 l) __________0.871717171

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Decimals –Ordering

12

1. Order the following decimals from least to greatest:

a) 0.335, 3.05, 0.53, 0.305 _______ _______ _______ _______

b) 1.83, 1.43, 1.443, 0.43 _______ _______ _______ _______

c) 1.45, 0.045, 0.45, 0.405 _______ _______ _______ _______

d) 6.05, 6.55, 6.055, 6.505 _______ _______ _______ _______

e) 4.65, 4.56, 4.065, 4.056 _______ _______ _______ _______

f) 7.20, 7.02, 7.022, 0.072 _______ _______ _______ _______

g) 0.95, 0.55, 0.559, 0.509 _______ _______ _______ _______

h) 0.3, 0.013, 0.31, 0.301 _______ _______ _______ _______

i) 41.92, 41.29, 41.052, 41.029 _______ _______ _______ _______

j) 10.5, 10.015, 10.51, 10.501 _______ _______ _______ _______

3

0

5

0

1

0.35

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2. Order the following decimals from greatest to least:

a) 0.445, 4.05, 0.43, 0.404 _______ _______ _______ _______

b) 1.53, 1.73, 1.773, 0.73 _______ _______ _______ _______

c) 1.38, 0.038, 0.83, 0.803 _______ _______ _______ _______

d) 7.02, 7.22, 7.022, 7.702 _______ _______ _______ _______

e) 9.62, 9.52, 9.025, 9.052 _______ _______ _______ _______

f) 1.40, 1.04, 1.044, 0.014 _______ _______ _______ _______

g) 0.84, 088, 0.884, 0.804 _______ _______ _______ _______

h) 0.04, 0.044, 0.94, 0.409 _______ _______ _______ _______

i) 65.40, 65.04, 65.004, 65.043 _______ _______ _______ _______

j) 12.05, 12.015, 12.501, 12.51 _______ _______ _______ _______

2

1

4

7

1

7.142

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Decimal Facts - Addition

13

1. Addition: Calculate the sum.

a) $4,576.45 + b) $14,746.76 + c) $ 3,736.09 + d) $ 5,766.63 +

$6,466.28 $55,345.90 $25,435.98 $32,545.01

e) $ 6,364.95 + f) $34,265.99 + g) $ 2,374.98 + h) $4,365,879.80 +

$53,476.76 $ 464.29 $99,999.99 $ 45,697.94

2. Addition: Line up the following problems and calculate the sum.

a) 3.15 + 9.45 b) 51,344.093 + 9,499.8 c) 2.029 + 22.39 + 105.8

d) 315.47 + 19.335 e) 51,344.9 + $9,499.368 f) 2.8 + 22.329 + 105.58

g) 1.2 + 12.22 + 341.334 h) 1.0039 + 3.592 + 35.88 i) 7.2 + 12 + 542.948

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Decimal Facts - Subtraction

14

1. Subtraction: Calculate the difference.

a) 140.39 - b) 5.0029 - c) 82.593 - d) 1,509.30 -

112.59 3.5495 43.948 1,123.45

e) 342.5 - f) 8.9000 - g) 26.145 - h) 6,622.40 -

254.52 4.74 16.3326 23.26

i) $434.47 - j) $4.47 - k) $56.64 - l) $8,365.46 -

$262.56 $3.65 $56.62 $6,766.27

2. Subtraction: Line up the following problems and calculate the difference.

a) 3.15 - 1.45 b) 25.5 - 16.7 c) 254.99 - 124.4

d) 253.9 - 14.485 e) 2,523 - 113.306 f) 100 – 49.012

g) 10.002 – 9.40951 h) 4,545.01 – 15.241 i) 307.3 – 305.336

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Decimal Facts - Multiplication

15

1. Multiplication: Calculate the product.

a) 4.5 x b) 27.24 x c) 648.66 x d) 130.078 x

7 8 7 6

e) 2.8 x f) 15.36 x g) 147.12 x h) 349.148 x

6.2 5.5 4.1 8.9

i) $1.53 x j) $46.14 x k) 405.47 x l) 896.65 x

4 6 3 9

2. Multiplication: Line up the following problems and calculate the product.

a) 3.8 x 4 b) 46.46 x 2.4 c) 452.21 x 1.32 d) 15.3 x 18.35

e) 2.5 x 4.045 f) 32 x 1.356 g) 452.9 x 2.99 h) 19.7 x 32.8