22
T 0845 630 33 33 F 0845 630 77 77 www.pearsonschools.co.uk [email protected] ALWAYS LEARNING Part of the Abacus toolkit, the textbooks and workbooks provide: • the perfect balance of practice and problem solving for each area of maths • pictorial representations to support children’s conceptual understanding • clearly laid out questions with instructions that are easy to follow • a self-assessment opportunity on every page • colour to indicate the different maths areas within the programme. Abacus is a unique maths toolkit for inspiring a love of maths and ensuring progression for every child. Written by an expert author team for the 2014 curriculum for England, it has been carefully crafted on a robust approach to creating inspired and confident young mathematicians. Freedom when you want it, structure where you choose it. Series Editor: Ruth Merttens Authors: Jennie Kerwin and Hilda Merttens Textbook and workbook sample pages

Abacus Textbook and Workbook Sample Booklet – Pearson … · 2018-05-05Abacus Textbook and Workbook Sample Booklet – Pearson Schools

Embed Size (px)

Citation preview

Page 1: Abacus Textbook and Workbook Sample Booklet – Pearson … · 2018-05-05Abacus Textbook and Workbook Sample Booklet – Pearson Schools

T 0845 630 33 33F 0845 630 77 77

[email protected]

A LWAY S L E A R N I NG

Part of the Abacus toolkit, the textbooks and workbooks provide:•theperfectbalanceofpracticeandproblemsolvingforeachareaofmaths

•pictorialrepresentationstosupportchildren’sconceptualunderstanding

•clearlylaidoutquestionswithinstructionsthatareeasytofollow

•aself-assessmentopportunityoneverypage

•colourtoindicatethedifferentmathsareaswithintheprogramme.

Abacus is a unique maths toolkit for inspiring a love of maths and ensuring progression for every child. Written by an expert author team for the 2014 curriculum for England, it has been carefully crafted on a robust approach to creating inspired and confident young mathematicians.

Freedom when you want it, structure where you choose it.

Series Editor: Ruth Merttens Authors: Jennie Kerwin and Hilda Merttens

Textbook and workbook sample pages

Page 2: Abacus Textbook and Workbook Sample Booklet – Pearson … · 2018-05-05Abacus Textbook and Workbook Sample Booklet – Pearson Schools

3

Pick up a handful of counters. Estimate how many. < 10? 10–20? >20? Now count them.

Cross out each grape as you count it.

Count the grapes in each bunch. How many are there?

Counting grapesContents

Key of page coloursNumber and Place value

Shape and Measure

Multiplication and Division

Addition and Subtraction

Fractions

Mixed Operations

Year 1 Workbook 1 pages:

Counting grapes p3

Adding 2; 1 more p12–13

Straight or curved; Monster sort p18–19

Write numbers to 20; Ordering numbers to 20 p20–21

Addition facts; Bonds to 20 p10–11

Counting in 10s; More and less p28–29

Counting in 2s, 5s and 10s; 2s, 5s and 10s p60–61

Year 3 Textbook 1 pages:

Multiplying and dividing by 3, 4, 5 and 10 p22–23

Subtract by counting up p46–47

Finding fractions of shapes and amounts p54–55

Puzzles p94–95

Year 4 Textbook 1 pages:

Metres, centimetres and millimetres p40–41

Column addition of 3-digit numbers p42–43

Unit fractions and equivalence p54–55

Rounding 4-digit numbers p74–75

Year 5 Textbook 1 pages:

Two decimal places p22–24

Length and perimeter p33–35

Mental multiplication strategies p28–29

Year 2 Workbook 1 pages:

Finding missing numbers; Comparing 2-digit numbers p4–5

Comparing fractions and fi nding equivalents p52–53

Page 3: Abacus Textbook and Workbook Sample Booklet – Pearson … · 2018-05-05Abacus Textbook and Workbook Sample Booklet – Pearson Schools

12

Adding 2

Write your own additions adding 2. Make them different from the ones on this page.

Use a number track to help you.

Write the next two numbers on the tracks. Complete all the additions.

13 14 15

25 26 27

17 18 19

20 21 22

14 15 16

23 24 25

26 27 28

15 + 2 =

27 + 2 =

19 + 2 =

22 + 2 =

16 + 2 =

25 + 2 =

28 + 2 =

13

Text... Text...

1 more

6 4

10 14

12 17

15 20

Write numbers where the next number ends in 0.

Use a bead string to help you.

Draw one more bead and write the next number.

Page 4: Abacus Textbook and Workbook Sample Booklet – Pearson … · 2018-05-05Abacus Textbook and Workbook Sample Booklet – Pearson Schools

Join each shape to its correct place in the hoops.

18

Straight or curved

Make a collection of shapes with curved sides.

Draw different shapes that have both straight and curved sides.

straight sides curved sides

Join each monster to its correct place in the hoops.

19

Monster sort

Make a monster from circles, squares, triangles and rectangles. How many arms does your monster have? How many eyes does it have?

Draw a monster which belongs in both hoops.

two arms three eyes

Page 5: Abacus Textbook and Workbook Sample Booklet – Pearson … · 2018-05-05Abacus Textbook and Workbook Sample Booklet – Pearson Schools

Write the missing numbers on the track starting each digit at the dot given.

20

Write numbers to 20

Use a number track to help you. Choose three numbers to write in words.

1

1112

19

2021

Write the sets of three numbers in order.

21

Ordering numbers to 20

Use a number track to help you. Choose three cards from a shuffled pack of 1–20 cards. Put them in order.

6

7

9

69

7 1210

11

1411

161315

18

1619

1535

4

179

211820

15

Page 6: Abacus Textbook and Workbook Sample Booklet – Pearson … · 2018-05-05Abacus Textbook and Workbook Sample Booklet – Pearson Schools

4

Write the next ten numbers after 100 on the square.

Use counters to cover numbers on the 100-square. Ask your partner to work out what the numbers are.

Write in the missing numbers on the 100-square.

Finding missing numbers

1

11

21

31

41

51

61

71

81

91

2

12

32

42

52

82

92

3

43

53

63

83

93

4

14

34

44

54

64

74

84

94

5

15

25

35

45

55

65

75

85

95

6

16

26

36

66

76

86

96

7

17

27

37

67

77

8

18

28

38

68

78

88

19

29

39

49

59

69

79

89

99

10

20

30

40

50

60

70

80

90

100

5

Comparing 2-digit numbers

Your partner shows you a number on a bead string. Write a bigger number. Write the pair down.

Work with a partner. Each secretly make a number on a bead string. Compare numbers. Which is bigger?

Circle the biggest number in each pair.

28 32

18 15

27 24

75 71

58 72

43 55

30 13

26 62

33 42

81 18

Page 7: Abacus Textbook and Workbook Sample Booklet – Pearson … · 2018-05-05Abacus Textbook and Workbook Sample Booklet – Pearson Schools

10

Addition facts

Can you make 10 with two even numbers? Two odd numbers? An odd number and an even number?

Use your fingers to help you find the answers.

Complete the additions. Add the numbers across and down to fill the grid.

+ 5 6 7 8 912345

2 + = 10

+ 7 = 9

+ 6 = 7

5 + = 10

6 + = 8

9 + 1 =

+ 3 = 10

+ 6 = 9

5 + 4 =

6 + 4 =

3 + = 8

+ 5 = 6

5 + 2 =

7 + 1 =

1 + = 9

11

Text... Text...

Bonds to 20

+ = 20 +

= 20 +

= 20

+ = 20 +

= 20 +

= 20

+ = 20 +

= 20 +

= 20

+ = 20 +

= 20 +

= 20

What do you add to: 1 to make 20?2 to make 20?Write the next five of these.

Use interlocking cubes in two colours to help you.

Complete the additions to match the cubes.

11 9

Page 8: Abacus Textbook and Workbook Sample Booklet – Pearson … · 2018-05-05Abacus Textbook and Workbook Sample Booklet – Pearson Schools

Fill in the missing numbers on each snake.

28

Use the columns on a 100-square to help you.

Draw your own snake with numbers missing for your partner to complete.

Counting in 10s

11121

61718191

41424

44

6474

94

6

364656

7686

515

5565

95

2737

5767

87

1929

49

7989

29

Text... Text...Copy one of these crosses. Try to fill in the numbers that sit diagonally to the middle number. What is the pattern for diagonal numbers?

Use a 100-square to help you.

Write the numbers 10 more and 10 less and 1 more and 1 less.

More and less

26 72

55

83

5814

35

41 19

45

54 56

65

Page 9: Abacus Textbook and Workbook Sample Booklet – Pearson … · 2018-05-05Abacus Textbook and Workbook Sample Booklet – Pearson Schools

Fill in the missing numbers to continue the patterns.

60

Use a bead string or a 100-square to help you.

Draw more trains starting at 0 and counting in steps of different numbers. Which numbers appear on more than one train?

Counting in 2s, 5s and 10s

32 34

4035

105

20 30

108

40 50

61

Text... Text...Find a number that is in all three counts and show how to make it from 2s, 5s and 10s.

Use coins to help find the answers.

Continue to count on in 2p, 5p and 10p coins up to 10 times.

2s, 5s and 10s

p p p p p

p p p p p

p p p p p

p p p p p

p p p p p

p p p p p

2 4

5 10

Page 10: Abacus Textbook and Workbook Sample Booklet – Pearson … · 2018-05-05Abacus Textbook and Workbook Sample Booklet – Pearson Schools

Complete these divisions.

Solve these problems.

Complete these multiplications.

15 4 ÷ 4 =

16 8 ÷ 4 =

17 20 ÷ 4 =

18 28 ÷ 4 =

19 32 ÷ 4 =

20 48 ÷ 4 =

1 3 × 4 =

2 5 × 4 =

3 7 × 4 =

4 2 × 4 =

5 1 × 4 =

6 10 × 4 =

7 9 × 4 =

8 4 × 4 =

9 × 4 = 24

10 × 4 = 12

11 × 4 = 44

12 × 4 = 48

13 × 4 = 32

14 × 4 = 36

I am confi dent with multiplying and dividing by 4.I am confi dent with multiplying and dividing by 5 and 10. 2322

A bead string

7 × 5 = 35

6 6 × 5 =

7 × 10 = 60

8 × 5 = 40

9 × 10 = 40

10 50 ÷ 5 =

11 80 ÷ 10 =

21 Cows have 4 legs. How many legs on 12 cows?

22 There are 24 children. They get into groups of 4. How many groups?

How many multiples of 4 under 50 are also multiples of 10?

1

2

3

4

5

6 × 10 =

9 × 5 =

7 × 10 =

× 5 = 25

× 10 = 90

Multiplying and dividing by 3, , 5 and 10

Page 11: Abacus Textbook and Workbook Sample Booklet – Pearson … · 2018-05-05Abacus Textbook and Workbook Sample Booklet – Pearson Schools

Complete these subtractions.

I am confi dent with subtracting by counting up.

A number line

Subtract by counting up

I am confi dent with subtracting by counting up.

46 47

A bead string

8 854 – 849 = 9 992 – 983 =

Complete these subtractions.

32 – 27 = 5

27 320 40

3 2

1 23 – 16 =

2 34 – 28 =

3 31 – 26 =

4 53 – 47 =

5 42 – 35 =

6 54 – 46 =

23160 40

? ?

0 40

? ?

0 40

0 6047 53

? ?

0 60

? ?

35 42

0 60

? ?

46 54

48 – 34 = 14

0 100

6 8

4834

1 164 – 156 =

2 223 – 215 =

3 377 – 364 =

4 486 – 478 =

5 535 – 527 =

6 649 – 636 =

7 768 – 753 =

100 200

? ?

156 164

200 300

? ?

300 400

? ?

400 500

500 600

600 700

700 800

Page 12: Abacus Textbook and Workbook Sample Booklet – Pearson … · 2018-05-05Abacus Textbook and Workbook Sample Booklet – Pearson Schools

Finding fractions of shapes and amounts

Write > or < between each pair of fractions.

What fraction of each shape is shaded?

I am confi dent with recognising fractions as equal parts of a whole.

Can you write any of the fractions above using smaller numbers?

Is this statement true or false? For unit fractions (those that have the numerator 1) the larger the denominator, the smaller the fraction.

I am confi dent with recognising fractions as equal parts of a whole, and comparing fractions.54 55

1 Which shape is divided into s?

2 Which shape is divided into s?

3 Which shape is divided into s?

14

16

15

Write the fraction that is shaded for each shape.

2 6 10

3 7 11

2 8 11

1 5 9

13

14

15

16

17

18

16

14

13

18

13

15

16

18

16

15

13

14

a c e

b d f

5 8 11

6 9 12

4 7 10

Page 13: Abacus Textbook and Workbook Sample Booklet – Pearson … · 2018-05-05Abacus Textbook and Workbook Sample Booklet – Pearson Schools

Grid puzzles Cube puzzles

1 Choose a pair of 2-digit numbers from the cube and fi nd their total and their difference.

94 95

You can use any method you think best. For example:

Can you fi nd a pair of numbers from the cube that has:

2 the total 100 and the difference 42?

3 the total 110 and the difference 4?

4 the total 93 and the difference 35?

5 Choose three 2-digit numbers from the cube and fi nd the total.

6 Can you fi nd three 2-digit numbers from the cube that have a total that is a multiple of 10?

20 + 80 = 100 9 + 8 = 1 7 1 1 7

29 + 88

88 – 30 = 5858 + 1 = 59

88 – 29

29 and 88: total 117, difference 59

Four numbers are written in a square. Four products can be found, multiplying across and diagonally.

2 50, 40, 10 and 8?

3 20, 12, 35 and 21?

4 75, 85, 30 and 34?

Can you fi nd four numbers that give these products:

1 Choose four different numbers to write in a square. Find the products. Do this several times.

5 6 7

Find the four products for each of these.

12 3

10 4

3 5

9 4

11 4

7 3

5 7

4 8

4 × 7 = 28

5 × 7 = 35

4 × 8 = 32

5 × 8 = 40

Page 14: Abacus Textbook and Workbook Sample Booklet – Pearson … · 2018-05-05Abacus Textbook and Workbook Sample Booklet – Pearson Schools

Metres, centimetres and millimetres

I am confi dent with estimating measurements in metres, centimetres and millimetres.

Answer these length questions.

1 Which of these animals could measure 123 cm in length?

2 Which of these could measure 2 m 15 cm in length?

3 Which of these could measure 50 mm in length?

4 Which of these could measure 34 cm 2 mm in length?

Make up several puzzles of your own like these.

I am confi dent with converting between centimetres and millimetres.

1 3 cm = mm

2 cm = 40 mm

3 6 cm 4 mm = mm

4 9 cm 3 mm = mm

5 cm mm = 39 mm

6 7·2 cm = mm

7 · cm = 39 mm

8 10 cm 4 mm = mm

9 cm = 600 mm

10 · cm = 124 mm

11 cm mm = 203 mm

12 10·2 cm = mm

Write these lengths in order, starting with the smallest.

240 mm 23 cm 2 mm 2·5 cm 22·9 cm 30 mm

40 41

Copy and convert these lengths.

13 19·4 cm = cm mm

14 23 cm 2 mm = · cm

15 20 cm 6 mm = · cm

16 28·9 cm = cm mm

17 16 cm 1 mm = · cm

18 25·3 cm = cm mm

a b c

a b c

a b c

a b c

0 cm1

23

45

0 mm

1020

3040

50

67

8

6070

80

Page 15: Abacus Textbook and Workbook Sample Booklet – Pearson … · 2018-05-05Abacus Textbook and Workbook Sample Booklet – Pearson Schools

Use this method to do these additions.

I am confi dent with adding 3-digit numbers using column addition.

Column addition of 3-digit numbers

Use this method to do these additions.

1 273 + 54 =

2 645 + 38 =

3 772 + 83 =

4 326 + 45 =

5 482 + 264 =

6 354 + 185 =

7 634 + 238 =

8 381 + 357 =

I am confi dent with adding 2- and 3-digit numbers using the expanded method.

Write an addition question that has an answer between 830 and 870.

42 43

482 + 64 =

+400 80 2 60 4400 140 6 = 546

327 + 254 =

+300 20 7200 50 4500 70 1 1 = 581

1 181 312 + 425

2 217

444 + 135

3 363

342 + 283

4 282

162 + 474

5 554 162 + 245

6 661

128 + 165

7 483

312 + 412

8 566

303 + 625

9 373 114 + 413

10 817 336 + 327

11 784

552 + 527

12 868 616 + 917

1 2320845 1 1782

+

Answer these and explain what patterns you notice.

123 + 987

456 + 654

789 + 321

1 2320845 1

+

Page 16: Abacus Textbook and Workbook Sample Booklet – Pearson … · 2018-05-05Abacus Textbook and Workbook Sample Booklet – Pearson Schools

23

>

35

13

13

13

12

12

110

110

110

110

110

110

110

110

110

110

19

19

19

19

19

19

19

19

19

18

18

18

18

18

18

18

18

17

17

17

17

17

17

17

16

16

16

16

16

16

15

15

15

15

15

14

14

14

14

111

111

111

111

111

111

111

111

111

111

111

112

112

112

112

112

112

112

112

112

112

112

112

1 Whole

I am confi dent with fi nding equivalent fractions and simplifying fractions.

Copy these pairs of fractions and write > or < between them.

I am confi dent with ordering unit and non-unit fractions and recognising fractions of a shape.54 55

What fraction of each shape is shaded?

Can you write any of the fractions above using smaller numbers?

9 12 15

10 13 16

11 14 17

Complete the equivalent fraction pairs.

1 36 = 1

2 34 = 8

3 15 = 10

4 4 = 28

5 26 = 1

6 4

= 810

7 46 = 3

8 48 = 6

Simplify these fractions.

9 68 11

410 13

36 15

28

10 24 12

26 14

810 16

610

1

2

3

4

5

6

7

8

16

110

15

110

19

112

18

25

34

27

47

78

77

58

39

112

Page 17: Abacus Textbook and Workbook Sample Booklet – Pearson … · 2018-05-05Abacus Textbook and Workbook Sample Booklet – Pearson Schools

I am confi dent with rounding 4-digit numbers.

Round each number to the nearest 10, 100 and 1000.

Write a number to match each description.

Rounding 4-digit numbers

I am confi dent with rounding 4-digit numbers.

74 75

A number lineRound these to the nearest 10.

3 7450 7460

7455

1

2

1230 1240

1237

2660 2670

2668

4 1287

5 6844

6 8304

Round these to the nearest 100.

7 1200 1300

1237

8 4578 10 5885

11

Round these to the nearest 1000.

1000 2000

1237

12 4578 14 1885

Write a number which rounds to 5000 to the nearest 1000, 4500 to the nearest 100 and 4520 to the nearest 10.

1 1287

2 3623

3 2535

4 6729

5 4572

6 4302

7 3608

8 5937

9 6851

10 7777

11 9440

12 5781

13 3514

14 8535

15 8448

16 It rounds to 2570 to the nearest 10.

17 It rounds to 8300 to the nearest 100.

18 It is less than 3600 but rounds to 4000 when rounded to the nearest 1000.

19 It rounds to 4000 to the nearest 1000 and to 3500 to the nearest 100.

20 It rounds to 3500 to the nearest 100 and to 3000 to the nearest 1000.

9 2845

13 5145

Page 18: Abacus Textbook and Workbook Sample Booklet – Pearson … · 2018-05-05Abacus Textbook and Workbook Sample Booklet – Pearson Schools

Write the outputs for each input.

I am confi dent with place-value multiplications and divisions involving decimals.

Two decimal places

I am confi dent with place value of decimals to two decimal places.

1 The 2 in 47·21.

2 The 3 in 63·87.

3 The 1 in 79·1.

4 The 6 in 22·36.

5 The 0 in 37·05.

6 The 8 in 383·29.

7 The 6 in 137·61.

8 The 9 in 245·19.

9 the tenths digit is two more than the tens digit.

10 the hundredths digit is one less than the tenths digit.

11 the tens digit is fi ve more than the hundredths digit.

12 the hundreds digit is double the hundredths digit.

13 the tenths digit is three times the tens digit.

Write a number where:

2322

A place-value grid

Write what the given digit represents in each number.

100s 10s 1s 0.1s 0.01s

3 7 0 5

The 5 in 37.05. The 5 represents fi ve hundredths, or fi ve 0.01s or 0.05.

.

.

A number less than 50 has a hundredths digit. The tenths digit and the ones digits have a total that is the same as the tens digit. If the number has no zero digits, what could it be? Find four different answers.

1 2·5

2 0·27

3 0·47

4 12·5

5 0·03

6 28

7 7·1

8 12·4

9 8

10 12

11 140

12 9

13 101

14 3206

3·14 31·4

×10

×100

÷10

÷100

÷10 then ÷10 again

Page 19: Abacus Textbook and Workbook Sample Booklet – Pearson … · 2018-05-05Abacus Textbook and Workbook Sample Booklet – Pearson Schools

I am confi dent with place-value multiplications and divisions involving decimals.

Write the missing outputs or inputs.

24

1

2

3 20·46

4

5

6 72

7

8

9 0·3

10 12·6

11

12 0·07

13 34·1

14

13·57 135·7

32

10·4

44

160

0·66

1·9

140

903·6

×10

×100

÷100

÷10 then × 100

×100 then ÷10

Length and perimeter

I am confi dent with measuring in centimetres and millimetres.

Measure each creature and write the length in millimetres and then in centimetres. Use the red dots to help you.

2

3 4 5

8

33

6 7

1

Page 20: Abacus Textbook and Workbook Sample Booklet – Pearson … · 2018-05-05Abacus Textbook and Workbook Sample Booklet – Pearson Schools

Measure the perimeter of each rectangle in centimetres. Then write it in metres.

I am confi dent with measuring and fi nding perimeters and converting centimetres into metres.34 35

Calculate the perimeter of each photo and write it in centimetres and then in metres.

Measure each creature and write the length in millimetres and then in centimetres.

I am confi dent with measuring in centimetres and millimetres and converting between units.

1

2

3

4

5

Write each height in centimetres.

6 1250 mm 7 1370 mm 8 1955 mm

Write each length in millimetres.

9 274 cm 10 75.5 cm 11 240 cm Draw a rectangle with a perimeter of 28 cm.

4 7 10

5 8 11

6 9 12

1250 mm 1370 mm 1955 mm

274 cm 75.5 cm

240 cm

1 2 3

8 cm

5 cm

8 cm

5 cm

12 cm

6 cm

6 cm

12 cm

37 cm

21 cm

37 cm

21 cm

12 cm

20 cm20 cm

12 cm 23 cm

14 cm

23 cm

14 cm 31 cm

25 cm

31 cm

25 cm

15 cm

8 cm

15 cm

8 cm

30 cm

16 cm

16 cm

30 cm42 cm

21 cm

42 cm

21 cm

Page 21: Abacus Textbook and Workbook Sample Booklet – Pearson … · 2018-05-05Abacus Textbook and Workbook Sample Booklet – Pearson Schools

Multiply these numbers by 25.

Multiply these numbers by 9.

Multiply these numbers by 20.

1 24

2 35

3 48

4 72

5 57

6 86

7 95

8 76

9 68

I am confi dent with using mental strategies to multiply by 20, 25 and 9.

Use mental strategies to answer these questions.

I am confi dent with using mental strategies to multiply by 20, 25 and 9. 2928

10 32

11 16

12 52

13 62

14 34

15 56

16 85

17 72

18 66

19 38

20 49

21 56

22 47

23 66

24 89

25 35

26 92

27 71

Would you prefer to use the grid method or the mental strategy you have been learning to multiply by 9? Explain why.

It is easier to do these in two steps!

1 69 × 9 =

2 48 × 25 =

3 39 × 20 =

4 81 × 9 =

5 38 × 25 =

6 86 × 20 =

7 74 × 9 =

8 67 × 25 =

9 77 × 20 =

10 63 × 9 =

11 91 × 25 =

12 97 × 20 =

13 72 × 9 =

14 79 × 25 =

15 89 × 20 =

16 87 × 9 =

17 69 × = 1725

18 71 × = 639

19 42 × = 1050

20 58 × = 522

Find the missing numbers.

Write a method explaining to a Year 4 pupil how to multiply by 20 or 25. Explain why it works.

These are easier than they look!

Page 22: Abacus Textbook and Workbook Sample Booklet – Pearson … · 2018-05-05Abacus Textbook and Workbook Sample Booklet – Pearson Schools

Write pairs of letters for the equivalent fractions.

Copy and complete. Use the number lines to help you.

I am confi dent with fi nding equivalent fractions and simplifying fractions.

Use these number lines to write some pairs of equivalent fractions:

I am confi dent with recognising equivalent fractions.

Write the equivalent fractions shown in each pair of shapes.

52 53

Complete the equivalent fraction pairs.

13

=

26

1

2

3

4

5

6

7

8 34

= 8

9 4 =

28

10 15

= 10

11 4

=

810

12 48

= 6

13 46

= 3

0 112

0 148

58

38

18

68

28

78

0 124

14

34

1 14

= 8

2 12

= 4

3 48

= 4

4 34

= 8

5 12

= 8

0 123

13

0 1612

0 136

56

16

26

46

6 13

= 6

7 36

= 12

8 16

= 12

9 23

= 12

10 46

= 3

11 56

= 12

A

26

B

35

C

34

D

12

E

210

F

14

G

13

H

23

I

68

J

15

K

24

L

46

M

28

N

610

0 112

0 125

15

45

35

0 1410

510

310

110

610

210

710

810

910