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Fractions

Mathletics Instant

Workbooks

Student Book - Series H-2

Simplify 6 +11

22 3

FractionsStudent Book - Series H 2

Contents

Topics

Topic 1 - Equivalent fractions __/__/__ Date completed

Topic 2 - Simplifying fractions __/__/__ Topic 3 - Proper fractions, improper fractions and mixed numbers __/__/__ Topic 4 - Addition and subtraction of fractions with the same denominator __/__/__ Topic 5 - Addition and subtraction of fractions with the different denominators __/__/__ Topic 6 - Multiplication of fractions __/__/__ Topic 7 - Division of fractions __/__/__ Topic 8 - Finding a fraction of a number __/__/__ Topic 9 - Fractions with mixed numbers __/__/__ Topic 10 - Problem solving with fractions __/__/__

Author of The Topics and Topic Tests: AS Kalra

Practice Tests

Topic 1 - Topic test A __/__/__ Topic 2 - Topic test B __/__/__ Topic 3 - Topic test C __/__/__

iiFractions

Mathletics Instant Workbooks – Series H 2 Copyright © 3P Learning

Fractions

1Fractions


Topic 1: Equivalent fractions

28 EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION

Fractions

E q u i v a l e n t f r a c t i o n sEXCEL YEAR 7 MATHEMATICS

Ch. 5.2, p. 68

QUESTION 1 Complete the following to make equivalent fractions.

a12

3= b13

4= c14

5= d15

6=

e23

6= f25

10= g27

8= h29

14=

i310

9= j311 22

= k314 42

= l316

15=

QUESTION 2 Find the missing number to complete the sentence.

a1030 3

= b1248

1= c535

1= d872

1=

e1854

1= f1236

3= g49

28= h36

15=

i47

36= j211

14= k35

27= l413 52

=

QUESTION 3 Complete these equivalent fractions.

a25

24= b96

724

= c37 140

= d512 96

=

e29

30= f24 1

3= g

58 96

= h1620

4=

i37

33= j512 120

= k25 80

= l2436

2=

QUESTION 4 Find the value of the letters.

ax

50710

= _________ ba3

96

= _________ cb7

814

= _________ dc8

68

= _________

e35 25

= x_________ f

m52

84

= _________ gn9

73

= _________ hp

12183

= _________

i3 6

18a= _________ j

57 14

= a_________ k

t9

13

= _________ ly

1256

= _________

m4 2

5m= _________ n

3 610n

= _________ o8 2

7a= _________ p

p5

410

= _________

CHAPTER 3

Fractions

2Fractions


Topic 2: Simplifying fractions

29EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION

Fractions

QUESTION 1 Write the following fractions in simplest form.

a812

= b1264

= c10150

= d2575

=

e25100

= f540

= g864

= h954

=

i5265

= j2472

= k3648

= l3280

=

S i m p l i f y i n g f r a c t i o n sEXCEL YEAR 7 MATHEMATICS

Ch. 5.2, p. 68

QUESTION 3 Simplify the following fractions.

a24216

= b3296

= c48240

= d54324

=

e90720

= f36324

= g42336

= h24120

=

i64704

= j63189

= k81324

= l108324

=

QUESTION 2 Write in simplest form.

a1060

= b20160

= c30330

= d40480

=

e896

= f10130

= g12144

= h14112

=

i763

= j972

= k11132

= l13104

=

QUESTION 4 Write in simplest form, leaving as mixed numbers.

a 3810

=____________ b 5630

= ___________ c 6515

= ____________ d 8312

=___________

e 9416

= ___________ f 739

= ____________ g 91416

=____________ h 12618

= __________

i 15824

= __________ j 16327

= __________ k 41232

= ___________ l 7812

= ___________

m 16412

= __________ n 151624

= __________ o 1836

= ___________ p 5618

= ___________

Fractions

3Fractions


Topic 3: Proper fractions, improper fractions and mixed numbers


Fractions

QUESTION 1 Write whether each fraction is proper, improper or a mixed number.

a 213

_____________ b1209

_____________ c 5120

_____________ d910

_____________

e35

_____________ f512

_____________ g89

_____________ h152

_____________

i83

_____________ j 325

_____________ k 21516

_____________ l88

_____________

QUESTION 3 Write each improper fraction as a mixed number.

a247

= ____________ b83

= _____________ c195

= _____________ d2811

= ____________

e6310

= ____________ f587

= ____________ g9315

= _____________ h6912

= ____________

i5316

= ____________ j887

= ____________ k15310

= ____________ l989

= ____________

P r o p e r f r a c t i o n s , i m p r o p e r f r a c t i o n sa n d m i x e d n u m b e r s

EXCEL YEAR 7 MATHEMATICS

Ch. 5.4, p. 70

QUESTION 2 Write each mixed number as an improper fraction.

a 215

= b 8110

= c 112

= d 214

=

e 325

= f 947

= g 5910

= h 289

=

i 456

= j 638

= k 635

= l 5710

=

QUESTION 4 Change these improper fractions to mixed numbers.

a285

= ____________ b125

= ____________ c9316

= ____________ d387

= ____________

e377

= ____________ f6410

= ____________ g10524

= ____________ h469

= ____________

i498

= ____________ j739

= ____________ k11520

= ____________ l5610

= ____________

m539

= ____________ n8512

= ____________ o14011

= ____________ p687

= ____________

Fractions

4Fractions



Fractions

A d d i t i o n a n d s u b t r a c t i o n o f f r a c t i o n sw i t h t h e s a m e d e n o m i n a t o r


Ch. 5.6.1, 5.6.2, p. 72

QUESTION 1 Add or subtract the following fractions.

a15

25

+ = _________________ b310

410

+ = ______________ c19

39

+ = __________________

d28

18

+ = _________________ e320

420

+ = _____________ f27

17

+ = __________________

g58

28

− = _________________ h713

213

− = _____________ i817

517

− = ________________

QUESTION 2 Find these sums.

a210

510

+ = ________________ b37

17

+ = _______________ c58

38

+ = __________________

d924

224

+ = _______________ e613

113

+ = _____________ f815

215

+ = ________________

g617

517

+ = _______________ h1235

1235

+ = _____________ i827

227

+ = ________________

QUESTION 3 Find these differences.

a915

715

− = _______________ b613

213

− = ______________ c825

625

− = ________________

d938

538

− = _______________ e649

349

− = _____________ f516

316

− = ________________

g827

727

− = _______________ h538

338

− = _____________ i625

325

− = ________________

QUESTION 4 Add or subtract, giving the answers in mixed numbers.

a4536

236

− = _______________ b810

1110

+ = ______________ c37

97

+ = __________________

d511

911

+ = _______________ e825

2425

+ = ______________ f2312

412

− = ________________

g4915

1215

− = _______________ h195

125

− = ______________ i165

25

− = _________________

j2812

212

− = _______________ k361200

25200

− = ____________ l2712

712

− = ________________

Topic 4: Addition and subtraction of fractions with the same denominator

Fractions

5Fractions


Topic 5: Addition and subtraction of fractions with the different denominators


Fractions

A d d i t i o n a n d s u b r a c t i o n o f f r a c t i o n sw i t h d i f f e r e n t d e n o m i n a t o r s


Ch. 5.6.1, 5.6.2, p. 72

QUESTION 2 Find these sums and differences.

a38

25

+ = _________________ b815

315

+ = _____________ c59

13

− = __________________

d67

23

+ = _________________ e415

15

+ = ______________ f34

25

+ = __________________

g79

57

+ = _________________ h45

67

+ = _______________ i37

29

+ = __________________

QUESTION 1 Add or subtract the following fractions.

a12

14

+ = _________________ b13

15

+ = _______________ c18

124

+ = _________________

d34

12

− = _________________ e56

23

− = _______________ f25

110

− = _________________

g18

14

+ = _________________ h34

13

− = _______________ i16

112

− = _________________

QUESTION 3 Find the value of the following.

a815

23

+ = ________________ b56

34

− = _______________ c67

221

− = _________________

d320

750

+ = _______________ e325

15

− = ______________ f38

524

+ = _________________

g812

324

+ = _______________ h93100

25

− = _____________ i23

34

+ = _________________

QUESTION 4 Evaluate the following.

a67

56

− = _________________ b1821

37

− = ______________ c27

314

+ = _________________

d34

18

− = _________________ e56

218

− = ______________ f13

17

− = __________________

g89

23

− = _________________ h1125

15

+ = ______________ i815

25

− = _________________

j710

25

− = ________________ k910

25

− = ______________ l910

35

− = _________________

Fractions

6Fractions


Topic 6: Multiplication of fractions


Fractions

M u l t i p l i c a t i o n o f f r a c t i o n sEXCEL YEAR 7 MATHEMATICS

Ch. 5.6.3, p. 76

QUESTION 1 Multiply the following fractions.

a13

13

× = _________________ b25

25

× = _______________ c37

37

× = ________________

d15

115

× = ________________ e34

45

× = _______________ f56

67

× = ________________

g112

112

× =________________ h325

14

× = _______________ i15

37

× = ________________

QUESTION 2 Multiply these fractions.

a15

29

× = ________________ b37

48

× = _______________ c59

67

× = ________________

d13

57

× = ________________ e68

23

× = _______________ f34

59

× = ________________

g910

1110

× =________________ h911

1011

× =_______________ i34

911

× = ________________

QUESTION 3 Work out the answers, as basic fractions, for the following.

a920

35

× = ________________ b23

1516

× = ______________ c34

911

× = _________________

d23

89

of = ________________ e34

1621

of = _____________ f25

2536

of = _______________

g56

1820

× = ________________ h15

1516

× = _______________ i37

2124

× = _________________

j310

2033

× = _______________ k56

1819

× = _______________ l37

2126

× = _________________

QUESTION 4 Simplify the following.

a23

6× = _________________ b49

27× = _______________ c56

36× = _________________

d89

54× = ________________ e710

100× = _____________ f58

72× = _________________

g15

125× =________________ h14

48× = _______________ i37

343× = ________________

j45

200× =________________ k613

169× = _____________ l89

729× = ________________

Fractions

7Fractions


Topic 7: Division of fractions


Fractions

D i v i s i o n o f f r a c t i o n sEXCEL YEAR 7 MATHEMATICS

Ch. 5.6.4, p. 78

QUESTION 1 Divide the following fractions.

a25

15

÷ = _________________ b37

314

÷ = _______________ c910

310

÷ = ________________

d34

14

÷ = _________________ e89

23

÷ = _______________ f78

38

÷ = __________________

g78

34

÷ = _________________ h615

35

÷ = ______________ i21100

7100

÷ = ______________

QUESTION 2 Find the answers to these divisions.

a56

312

÷ = ________________ b29

914

÷ = _______________ c910

35

÷ = _________________

d45

310

÷ = ________________ e7

100320

÷ = ____________ f11100

33200

÷ = ______________

g815

215

÷ = ________________ h827

49

÷ =_______________ i38

94

÷ = __________________

QUESTION 3 Work out the answers, as basic fractions, to the following.

a56

1018

÷ = ________________ b710

90100

÷ =_______________ c1627

854

÷ = ________________

d38

916

÷ = ________________ e1528

2542

÷ = _______________ f1835

2049

÷ = ________________

g59

1018

÷ = ________________ h813

2439

÷ =_______________ i1623

846

÷ = ________________

j815

2425

÷ = ________________ k925

1850

÷ = _______________ l4849

167

÷ = ________________


a 2559

÷ = ________________ b 261314

÷ = _______________ c836

16÷ = ________________

d 1897

÷ = ________________ e49

2827

÷ = _______________ f 285660

÷ = ________________

g34

128

÷ = ________________ h 152110

÷ = _______________ i 961625

÷ = ________________

j1538

3019

÷ = ________________ k915

35

÷ = _______________ l914

2728

÷ = ________________

Fractions

8Fractions


Topic 8: Finding a fraction of a number


Fractions

F i n d i n g a f r a c t i o n o f a n u m b e rEXCEL YEAR 7 MATHEMATICS

Ch. 5.7.1, p. 79

QUESTION 1 Work out the answers to the following.

a 12

of $50 = ______________ b 35

of $800 = ____________ c 110

of 20 hours = __________

d13

of 1 hour = ____________ e25

of 1 tonne = _________ f35

of 400 = _______________

g910

of 5 hours = __________ h35

of 480 = ____________ i34

of 1 metre = ____________

QUESTION 2 Find the following.

a710

of 300 = _____________ b25

of 40 = ______________ c35

of 80 = ________________

d49

of 8100 = _____________ e512

of 6 weeks = ________ f513

of 169 = ______________

g78

of 1600 = _____________ h815

of $9000 = __________ i116

of 960 = ______________

QUESTION 3 Work out the following.

a14

of $464 = _____________ b12

of 60 = _____________ c13

of 39 = ________________

d23

of 525 = ______________ e34

of 500 = ____________ f35

of 625 = _______________

g56

of $216 = _____________ h58

of $512 = ____________ i916

of 256 = ______________

j815

of 360 = _____________ k9

100 of 10000 = _________ l

57

of 343 = _______________


a34

of $200 = _____________ b35

of 10 kg =____________ c13

of 60 years = ___________

d25

of 120 minutes =________ e18

of 24 hours = ________ f23

of $375 = ______________

g47

of 42 weeks = __________ h37

of 1540 = ____________ i35

of 10 metres = __________

j725

of 1 century = _________ k58

of $256 = ____________ l56

of 180 days = ___________

Fractions

9Fractions


Topic 9: Fractions with mixed numbers


Fractions

F r a c t i o n s w i t h m i x e d n u m b e r sEXCEL YEAR 7 MATHEMATICS

Ch. 5.6, p. 72

QUESTION 1 Simplify the following.

a 3 214

+ = ________________ b 135

214

+ =______________ c 812

134

+ = ________________

d 5110

2+ = _______________ e 512

314

+ = _____________ f 5310

123

+ = _______________

g 416

213

+ = ______________ h 834

115

+ = _____________ i 4815

125

+ = _______________

QUESTION 2 Work out the following.

a 634

2− = ________________ b 856

4− =_______________ c 6710

225

− = _______________

d 838

256

− = _______________ e 612

234

− = _____________ f 579

223

− = ________________

g 9310

625

− = ______________ h 1025

813

− = ____________ i 545

223

− = _______________

QUESTION 3 Find the following.

a 112

23

× = ________________ b 412

513

× =______________ c 814

212

× = _______________

d 67

225

× = ________________ e 113

235

× = ______________ f 538

214

× = _______________

g 238

314

× =_______________ h 539

212

× =______________ i 112

212

× = _______________

j 123

312

× = _______________ k 223

114

× =______________ l 512

314

× = _______________


a 235

34

÷ = ________________ b 312

13

÷ = _______________ c 534

15

÷ = ________________

d 234

112

÷ = _______________ e 538

412

÷ = _____________ f 812

214

÷ = _______________

g 1212

134

÷ = ______________ h 835

2110

÷ = _____________ i 535

112

÷ = ________________

j 814

114

÷ =_______________ k 934

113

÷ = ______________ l 1212

312

÷ = _______________

Fractions

10Fractions


Topic 10: Problem solving with fractions


Fractions

P r o b l e m s o l v i n g w i t h f r a c t i o n sEXCEL YEAR 7 MATHEMATICS

Ch. 5.10, p. 81

1 Find the sum of 35

38

310

, and . ___________________________________________________________

2 Divide the sum of 89

710

14

and by . _______________________________________________________

3 Subtract the difference of 13

14

and from the sum of 13

14

and . ________________________________

4 What fraction is 80 cm of 4 m? ____________________________________________________________

5 How many sixths are in 5? ________________________________________________________________

6 A shool year consists of 40 weeks. At the end of week 32, what fraction of the school year is over?

______________________________________________________________________________________

7 A class has 16 girls and 12 boys. What fraction of the class is girls?

______________________________________________________________________________________

8 Find the difference between 3056

812

and and multiply this result by 314

.

______________________________________________________________________________________

9 A square has a side of 234

cm. Find its area. _________________________________________________

10 In a school of 1200 students, 58

are girls. How many students are girls?

______________________________________________________________________________________

11 If34

of a cake is shared equally among 6 people, what fraction of the cake would each receive?

______________________________________________________________________________________

12 A car tank when 23

full contains 48 litres. What is the capacity of the tank?

______________________________________________________________________________________

13 A rectangle has length 312

cm and width 214

cm. Find the perimeter of the rectangle.

______________________________________________________________________________________

14 An aeroplane flew 1600 km in 214

hours. What was its average speed?

______________________________________________________________________________________

15 How many pieces of wood, each 114

metres long, can be cut from a board 1212

metres long?

______________________________________________________________________________________


Fractions

TOPIC TEST PART A

1 9910

+ equals

A 9310

B 9910

C 9110

D 9010

2 160

1000− equals

A10601000

B 9001000

C 4750

D 4950

319

19

× equals

A181

B 19

C 29

D none of these

4 414

212

+ equals

A 514

B 634

C 558

D 734

5 1856

× equals

A 25 B 10 C 15 D 2135

645

54

+ equals

A 212

B 135

C 235

D 2120

7 213

112

− equals

A56

B16

C 116

D 113

Marks

1

1

1

1

1

1

1

Fractions

Instructions • This part consists of 15 multiple choice questions

• Fill in only ONE CIRCLE for each question• Each question is worth 1 mark• Calculators are NOT allowed

Time allowed: 15 minutes Total marks = 15


Fractions

TOPIC TEST PART A

1 9910

+ equals

A 9310

B 9910

C 9110

D 9010

2 160

1000− equals

A10601000

B 9001000

C 4750

D 4950

319

19

× equals

A181

B 19

C 29

D none of these

4 414

212

+ equals

A 514

B 634

C 558

D 734

5 1856

× equals

A 25 B 10 C 15 D 2135

645

54

+ equals

A 212

B 135

C 235

D 2120

7 213

112

− equals

A56

B16

C 116

D 113

Marks

1

1

1

1

1

1

1

Fractions

Instructions • This part consists of 15 multiple choice questions

• Fill in only ONE CIRCLE for each question• Each question is worth 1 mark• Calculators are NOT allowed


11Fractions


FractionsTopic Test PART AInstructions This part consists of 12 multiple-choice questions Each question is worth 1 mark Fill in only ONE CIRCLE for each question Calculators are NOT allowed


Marks


Fractions

1

1

1

Marks

1

1

1

1

1

8413

of 26 equals

A 4 B 6 C 8 D 10

9 425

114

+ equals

A 3720

B 51320

C 6920

D 71120

1014

110

+ equals

A340

B 120

C 720

D 920

11

34

24

54

+=

A34

B 54

C 1 D 2

12 Which of the following numbers is the largest?

A34

B 45

C 37

D 610

1335

of a number is 6. What is the number?

A 8 B 10 C 12 D 18

1458

2425

× equals

A15200

B 24200

C 25

D 35

156

156

− equals

A 12 B 18 C 24 D 36

Total marks achieved for PART A 15


Fractions

1

1

1

Marks

1

1

1

1

1

8413

of 26 equals

A 4 B 6 C 8 D 10

9 425

114

+ equals

A 3720

B 51320

C 6920

D 71120

1014

110

+ equals

A340

B 120

C 720

D 920

11

34

24

54

+=

A34

B 54

C 1 D 2

12 Which of the following numbers is the largest?

A34

B 45

C 37

D 610

1335

of a number is 6. What is the number?

A 8 B 10 C 12 D 18

1458

2425

× equals

A15200

B 24200

C 25

D 35

156

156

− equals

A 12 B 18 C 24 D 36


FractionsTopic Test PART A continued


12Fractions


Marks

Instructions This part consists of 15 questions Each question is worth 1 mark Write answers in the answers-only columnTime allowed: 20 minutes Total marks = 15

Questions Answers only

Total marks achieved for PART B 15

Marks

FractionsTopic Test PART B

13Fractions



Fractions

TOPIC TEST PART B

Marks

Fractions

Instructions • This part consists of 15 questions

• Each question is worth 1 mark• Write answers in the ‘Answers only’ column


15


1916 96

= ___________________

2 Simplify36216

___________________

3 Simplify 939

, leaving the answer as a mixed number. ___________________

4 Write 835

as an improper fraction. ___________________

5 Write587

as a mixed number. ___________________

6720

320

+ = ___________________

74390

1290

− = ___________________

856

79

+ = ___________________

9916

14

− = ___________________

1089

129

× = ___________________

111528

725

× = ___________________

12827

1636

÷ = ___________________

13 4279

÷ = ___________________

143245

169

56

÷

÷ = ___________________

15 823

513

× = ___________________

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

Total marks achieved for PART B


Fractions

TOPIC TEST PART B

Marks

Fractions




15


1916 96

= ___________________

2 Simplify36216

___________________

3 Simplify 939


4 Write 835


5 Write587

as a mixed number. ___________________

6720

320

+ = ___________________

74390

1290

− = ___________________

856

79

+ = ___________________

9916

14

− = ___________________

1089

129

× = ___________________

111528

725

× = ___________________

12827

1636

÷ = ___________________

13 4279

÷ = ___________________

143245

169

56

÷

÷ = ___________________

15 823

513

× = ___________________

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1



Fractions

TOPIC TEST PART B

Marks

Fractions




15


1916 96

= ___________________

2 Simplify36216

___________________

3 Simplify 939


4 Write 835


5 Write587

as a mixed number. ___________________

6720

320

+ = ___________________

74390

1290

− = ___________________

856

79

+ = ___________________

9916

14

− = ___________________

1089

129

× = ___________________

111528

725

× = ___________________

12827

1636

÷ = ___________________

13 4279

÷ = ___________________

143245

169

56

÷

÷ = ___________________

15 823

513

× = ___________________

1

1

1

1

1

1

1

1

1

1

1

1

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1


Instructions This part consists of 4 questions Each question is worth 5 marks Show all necessary


Questions

Total marks achieved for PART C 20

Marks

FractionsTopic Test PART C

14FractionsMathletics Instant Workbooks – Series H 2 Copyright © 3P Learning 41EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION

Fractions

Total marks achieved for PART C

TOPIC TEST PART C

Marks

Fractions


• Each question is worth 5 marks• Show all necessary working


20

1 Complete the equivalent fractions.

a58 64

= b320

9= c45 125

=

d30

40150

= e5 60

36=

2 Write the following fractions in simplest form.

a120340

= b88121

= c125625

=

d7098

= e85100

=

3 Simplify the following fractions.

a944

544

− = ____________ b925

6125

+ = ___________ c1245

4300

× = _______

d835

7214

÷ = ____________ e1015

25200

× = ___________

4 Work out the following.

a79

of $63 = __________ b750

of 200 km = ________ c 834

925

+ = _______

d 356

212

÷ = __________ e 1512

1334

− = __________

5

5

5

5


Fractions

Total marks achieved for PART C

TOPIC TEST PART C

Marks

Fractions


• Each question is worth 5 marks• Show all necessary working


20

1 Complete the equivalent fractions.

a58 64

= b320

9= c45 125

=

d30

40150

= e5 60

36=

2 Write the following fractions in simplest form.

a120340

= b88121

= c125625

=

d7098

= e85100

=

3 Simplify the following fractions.

a944

544

− = ____________ b925

6125

+ = ___________ c1245

4300

× = _______

d835

7214

÷ = ____________ e1015

25200

× = ___________

4 Work out the following.

a79

of $63 = __________ b750

of 200 km = ________ c 834

925

+ = _______

d 356

212

÷ = __________ e 1512

1334

− = __________

5

5

5

5

Documents

Fractions - portfoliotonks.weebly.com€¦ · Fractions Student Book - Series H 2 Contents Topics Topic 1 - Equivalent fractions __/__/__ Date completed Topic 2 - Simplifying fractions

Fractions - portfoliotonks.weebly.com€¦ · Fractions Student Book - Series H 2 Contents Topics Topic 1 - Equivalent fractions //__ Date completed Topic 2 - Simplifying fractions