Yes Maths 6

Page 1

H. Salvo


Table of Contents

Unit 7: Addition Adding Near Multiples........................................................................................... 42 Adding Money........................................................................................................ 44 Adding Decimals.................................................................................................... 46

Unit 1: Numbers Place Value........................................................................................................... 4 Rounding Numbers............................................................................................... 5 Common Factors.................................................................................................. 6 Least Common Multiple....................................................................................... 7 Ordering Numbers................................................................................................ 8 Comparing Numbers............................................................................................ 9

Unit 2: Number Recognition Number Sequences............................................................................................ 10 Odd and Even Numbers.................................................................................... 11 Estimating Numbers............................................................................................ 13 Prime Numbers.................................................................................................... 14

Unit 8: Subtraction Subtracting Near Multiples.................................................................................... 48 Subtracting Money................................................................................................. 50 Positive and Negative Integers............................................................................. 51 Subtracting Decimals............................................................................................. 52

Unit 9: Multiplication Multiplying Whole Numbers.................................................................................. 54 Multiplying Decimals.............................................................................................. 55 Multiplying Pairs of Multiples of 10........................................................................ 56 Multiplying Near Multiples of 10............................................................................ 57 Number Facts.......................................................................................................... 58 Multiplying up to 4-Digit Numbers......................................................................... 59

Unit 3: Fractions and Decimals Comparing Fractions.......................................................................................... 16 Reducing and Converting Fractions................................................................ 17 Counting On and Back...................................................................................... 18 Ordering Mixed Numbers................................................................................... 19 Percentages........................................................................................................ 20 Ratios and Proportions........................................................................................ 21

Unit 4: Geometry 2D Shapes............................................................................................................ 22 Properties of 3D Shapes..................................................................................... 23 Quadrilaterals..................................................................................................... 24 2D Representations of 3D Shapes.................................................................... 25 Perimeter and Area of Shapes......................................................................... 26

Unit 10: Division Dividing Whole Numbers....................................................................................... 60 Dividing Decimals................................................................................................... 61 Dividing Three-Digit Numbers................................................................................ 62 Mixed Numbers and Decimal Answers................................................................ 64

Unit 11: Time Units of Time............................................................................................................ 66 24-Hour Clocks........................................................................................................ 67 Time Intervals.......................................................................................................... 69

Unit 12: Mental Maths Number Puzzles....................................................................................................... 72 Single-Step Word Problems................................................................................... 74 Multi-Step Word Problems..................................................................................... 75 Ratios and Direct Proportions............................................................................... 76 Percentages........................................................................................................... 77

Unit 5: Positioning and Data Plotting Coordinates.......................................................................................... Ordered Pairs...................................................................................................... Data Problems.................................................................................................... Mode and Range.............................................................................................. Median and Mean............................................................................................

28 29 30 32 33

Unit 6: Measuring

Review 2 Review 2.................................................................................................................. 78

Units of Measurement........................................................................................ 34 Converting Units of Measurement.................................................................... 35 Reading Measuring Instruments........................................................................ 37 Line Measuring.................................................................................................... 39

Review 1 Review 1.............................................................................................................. 40

2

3


Place Value

Rounding Numbers TIPS!

Decimal Point

Example: Millions

Hundred Thousands

9

3

Ten Thousands Hundreds Tens Ones Thousands

5

7

8

6

4

Tenths Hundredths

.

7

5

1. Write the place value of the underlined digits. a. 565,325 _______________________

b. 1,536,964 ____________________

1. If the number you’re rounding to is followed by a 5, 6, 7, 8 or 9, round up. 2. If the number you’re rounding to is followed by a 0, 1, 2, 3 or 4, round down.

2. Round to the nearest 10. 75

626

492

2,659

9,319

31

443

5,635

856

3. Round to the nearest 100. c. 1,986,436 _____________________ e. 965,312 _______________________

d. 750,550 _____________________ f. 596,501 _____________________

6,491

7,360

9,785

55,629

99,938

5,678

8,987

2,379

46,239

4. Round to the nearest 1,000. g. 548,365 _______________________

i.

937,691 _______________________

h. 9,978,630 ____________________ j. 7,353,790 ____________________

100,678

567,124

792,564

997,872

252,325

357,197

489,666

645,197

837,852

5. Round to the nearest tenth. k. 36.355 ________________________ m. 1.298 _________________________

l. 995.366 _____________________ n. 5.315 ________________________

1.25

67.34

89.43

5.32

26.14

33.33

97.16

4.55

75.45

6. Round to the nearest whole number. o. 6.943 _________________________ q. 0.987 _________________________ 4

p. 3.331 ________________________ r. 7.890 ________________________

7.47

9.87

6.35

25.67

37.12

59.49

39.75

19.51

23.36 5


Common Factors

1

2

3

4

Least Common Multiple

7. Find the greatest common factor for each pair of numbers. a. 36, 48

b. 21, 63

factors of 36 = ______________ factors of 48 = ______________ GCF (36, 48) = _____________

c. 15, 60

d. 27, 54

e. 24, 42 factors of 24 = ______________ factors of 42 = ______________ GCF (24, 42) = _____________

g. 72, 96 factors of 72 = ______________ factors of 96 = ______________ GCF (72, 96) = _____________

a.

44, 99 factors of 44 = ______________ factors of 99 = ______________ GCF (44, 99) = _____________

h. 56, 84 factors of 56 = ______________ factors of 84 = ______________ GCF (56, 84) = _____________

2, 3

b. 4, 5

multiples of 2= _____________ multiples of 3= _____________ LCM (2, 3) = ________________

c.

factors of 27 = ______________ factors of 54 = ______________ GCF (27, 54) = _____________

f.

2 3

Remember, the least common multiple is the smallest number that is a multiple of two or more numbers.

8. Find the least common multiple for each pair of numbers.

factors of 21 = ______________ factors of 63 = ______________ GCF (21, 63) = _____________

factors of 15 = ______________ factors of 60 = ______________ GCF (15, 60) = _____________

6

1

Remember, the greatest common factor is the highest number that divides exactly into two or more numbers evenly.

3, 5

multiples of 4= ______________ multiples of 5= ______________ LCM (4, 5) = _________________

d.

multiples of 3= _____________ multiples of 5= _____________ LCM (3, 5) = ________________

e.

2, 15

multiples of 5= _____________ multiples of 7= _____________ LCM (5, 7) = ________________

f.

multiples of 2= _____________ multiples of 15= ____________ LCM (2, 15) = _______________

g. 3, 24 multiples of 3 = _____________ multiples of 24 = ____________ LCM (3, 24) = _______________

5, 7

5, 8 multiples of 5= _____________ multiples of 8= _____________ LCM (5, 8) = ________________

h.

6, 16 multiples of 6= _____________ multiples of 16= ____________ LCM (6, 16) = _______________ 7


Ordering Numbers 3

1

4 2

6

Comparing Numbers 11. Compare the numbers using > and <.

Pay close attention to the negative numbers!

5

-853

-560

61,235

16,235

9. Write each set of numbers from least to greatest. 978,568 _________ -378 _________

653,984 _________ -751 _________

759,124 _________ -163 _________

861,123 _________ -493 _________

5,670

1,365

8,637

997

_________

_________

_________

_________

d.

167,936

35,159

9,873

97,639

e.

_________ -1,050 _________

_________ -6,914 _________

_________ -3,215 _________

_________ -8,765 _________

a. b. c.

-57

-35

67,165

97,125

-165

903,125

903,251

3,875

-3,875

2,652

987,135

785,915

63,153

79,159

-566

1,965

2,971

-3,103

-32

42,652

-783

2,153

79,156

69,156

753,251

13,313

-15,363

10. Write each set of numbers from greatest to least. 743,597

286,148

436,987

_________ -378

_________ -182

_________

b.

_________ -506

c.

_________ 4,369

_________ 7,972

_________ 1,087

_________ 9,365

d.

_________ 21,364

_________ 47,698

_________ 39,592

_________ 55,679

_________ -6,349 _________

_________ 0 _________

_________ -814 _________

_________ -5,369 _________

e. 8

-960

125,632

65,198

16,654

781,321

7,324

-169

563

961

er at

-235

-820

187

-1,000

-187

Than an

123,597

G re

a.

L

Th s es

9


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