tg maths gr7 module 5 9

7/28/2019 TG Maths Gr7 Module 5 9

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MEMORANDUM GRADE 7 MODULE 5

2.

3.1 a)100

6

b) 10002

c) 200

d)102

e) 80

f)1000

9

g) 2 000

h)100

8

i)10

5

j)1000

8

3.2 a)10

9

b)10

3 100

8

c)10

8 1002

10004

d)10

3 1000

8

5. a) 0,12; 0,18; 0,24; 0,3; 0,36;

0,42; 0,48; 0,54; 0,6; 0,66

Temperature Swimmers

Volume Athletes

Measurement Odometer

Distance Scientists

Scales Engineers

Money


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b) 0,018; 0,027; 0,036; 0,045;

0,054; 0,063; 0,072; 0,081; 0,09

c) 7,4; 11,1; 14,8; 18,5;

22,2; 25,9; 29,6; 33,3; 37

6. a) 0,8; 1,0; 1,2; 1,4

b) 5,5; 5; 4,5; 4

c) 0,989; 0,986; 0,983;

0,98; 0,977

d) 0,016; 0,02; 0,024;

0,028; 0,032

7. +20 +100 +0,003

+0,3

+0,07 +0,13 +0,05

+0,3

+0,007 +0,12 +0,009

8. a) 1,0 i) 0,05

b) 3,2 j) 4,5

c) 0,75 k) 3,98

d) 4,2 l) 1,02

e) 1,4 m) 2,5

f) 2,9 n) 15,6

g) 3,15 o) 11,4

h) 3,42

10.1 1 2

8 5

3 8

4 3

6 7

7 4

2 1

5 6


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10.3 a) < d) =

b) > e)

11.1 a) 41c

b) 4221

c) 44c

11.2 Rounding off

11.3.1 a) Look at the 2nd digit after comma (100ths)

If 5, 6, 7, 8, 9: 10ths digit 1 more

If 4, 3, 2, 1, 0: 10ths digits remains the same

Replace everything after 10ths with noughts

b) Look at 3rd digit after comma

If 5, 6, 7, 8, 9: 100ths digit 1 more

If 4, 3, 2, 1, 0: 100ths digit remains the same

Replace everything after 100ths with noughts

c) Look at 4th digit after comma

If 5. 6, 7, 8, 9: Thousandths 1 more

If 4, 3, 2, 1, 0: Thousandths temain the same

Replace everything after 1 000ths with noughts


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11.4 a) 4,5

9,9

5,3

7,6

52,6

88

11.4 b)

6,41 8,60 7,26 9,49 5,03 6,29

11.4 c) (i) (ii)

(iii) (iv)

(v) (vi)

4,369

6,243 3,819

7,480

5,366

2,597


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12.2 a) 11

b) R406

c) 6

d) 5

e) R327

f) 8

g) 9

h) 14

i) 448

j) 1 390

13.4

a) 2100

60 2,60

b) 131000

625 13,625

c) 17100

75 17,75

d) 231000

875 23,875

e) 3610

8 36,8

13.5 a) 0,83b) 0,2857142

c) 0,8125

d) 0,4

13.6

2

9 211

100

325 5

43 8

201 1000

4056 5

199

421 5

21 3

100

25 85

3 2581 4

1000

56 3954

4,5 5,5 3,25 8,6 25,125 4,056 39,8


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14. a) 0,3

b) 0,6

c) 0,23

17.2 a) 999,955

b) 802,383

c) 115,749

d) 420,799

18. 0,1818181

0,8181818

0,9999999

Above-mentioned are repetitive fractionsRounded off, the answer is 1.

19.

20.1

a) 1 i) 1,05

b) 3,3 j) 6,7

c) 0,67 k) 2,98

d) 4,3 l) 1,12

e) 6,4 m) 5

f) 2,7 n) 8,6

a)

b)

c)

d)

e)

f)

g)

h)

260

2 600

26,7

267

2 670

26,79

267,9

2 679


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20.2 x10: Each digit moves 1 place left / comma moves 1 to the right.

x100: Each digit moves 2 places left / comma moves 2 to the right.

x1000: Each digit moves 3 places left / comma moves 3 to the right.

20.4

a) 54,8 548 5480

b) 3,67 36,7 367

c) 8,9 89 890

d) 165,38 1653,8 16 538

e) 282,51 2825,1 28 251

20.5.1 a) 21,522 b) 46,215

c) 1,4 d) 4,64

e) 12 250 f) 2 370,6

20.6.2 Answer is smaller.

x with number


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23.3

8,21 0,729 0,6

0,864 0,6254 0,0392 8,791 0,035 0,08

74,68

23.4.2 a) 0,041

b) 0,81

c) 0,0093

23.5.2 b en c

23.6 a) 1,234

b) 0,845

c) 7,23

25. a) R51

b) R211,59

c) 21160c

d) R2,90

e) Ja

Cost per call: R1,77

f) 91,5

g) R102,13

h) R1,28 x 24 = R30,72

i) R3,27

j) Own answers


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GRADE7

MODULETETS5

1. a) 0,68

b) 0,875

c) 0,45 (3)

2. a) 8432,17

8432,168

8432,2 (3)

3.

23,6489

23 648,9

0,236489

236 489

(4)

4. a) 523,017 (2)

b) 0,987 (3)

c) 1,34 (2)

5. 180 2,25

80 times (4)

6. 88,5 x 28,3

2 504,55 m (4)


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2.

O U T O F E V E R Y H U N D R E D

3. a) centipede

b) century

c) centimetre

d) centenarian

e) centenary

f) centigrade

g) centuple

5. a) 3% b) 41%

c) 16% d) 56%

e) 4% f) 123%

6. a) 70%

b) 48,7

7.

FractionFraction withdenominator

100

%DecimalFraction

a) 50 0,50

b)100

10 10 0,10

c)100

80 80 0,80

d)100

80 80 0,80

e)100

90 90 0,90

f)100

40 40 0,40

g)100

25 25 0,25

h)100

75 75 0,75

i)100

45 45 0,45

j)100

80 70 0,70

100

44 44 0,44


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8. 3

a) 62,5% b) 66,.

6 %

c) 87,5% d) 16,.

6 %

9. a) 30 b) 61

c) 0,12 d) 95

e) 0,05 f) 70

10.

% Fraction Decimal Fraction

a) 7100

7 0,7 / 0,70

b) 12,5100

5,12 0,125

c) 47100

47 0,47

d) 37,5100

5,37 0,375

e) 135100

135 1,35

12. a) 0,36; 34%;10

3 b) 83%; 0,81;20

16

c) 78;4

3 ; 0,73 d)50

3 ; 5%; 0,04

e) 0,89;25

21 ; 82% f) 150%; 1,47; 15

2

Write as % Write as common fraction inits simplest form

a) 9

b) 77

c) 50

d) 75

e) 40

f) 80

g) 33,.

3

h)25

2

i)20

72

1

j)8

1 /4

2

1

k)20

1

l) 100147

= 100471

m)20

110

1

/200

11

n)25

12

o)20

3


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13.

15.1 (i) 23 909 920

(ii) 42 840 000

(iii) 320

a) 9

b) 77

c) 50

d) 75

e) 40

f) 80

g) 33,.

3

h)25

2

i)2

17

20

j)8

1 /2

1

4

k)20

1

l)100

147 =100

471

m) 101

1

20 /200

11

n)25

12

o)20

3


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15.3.1 a) R31,04 b) 15 mm

15.3.2 a) R525 b) R3,00

b) 8,25 kg d) R12,69

16.3 a) 25% b) 8,.

3%

c) 70% d) 37,5%

e) 80% f) 66,.

6 %

17.4 a) R179,97 b) R254,58 (afgerond)

c) R10 665 d) R16 794,75

17.5.2 a) 10,7% b) 10%

18.2

Cost price Selling price Loss / Profit % Loss / Profit

a) R623 24,92% profit

b) R80 28,57% loss

c) R9,99 27,75% profit

d) R19,14 R2,64

e) R765 R135

19.2 a) 14%

b) Jobcreating, housing, etc.

c) Milk, fresh fruit and veg. and meat

19.3 a) 41c

b) R2,66

c) R69,86

d) R770

20. Pay VAT firstly, and then get discount.


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21.

22.1 a) (i) 81

/ 1005,12

/ 1000125

(ii)20

3

b) 15

(4

1 of 60)

c) 9

(156)

22.2 a)10

1 of 24 = 2,4 b) Fieldwork

2 hour 24 minutes Fitness

c)8

1

d) 3,6 hour

3 hour 36 minutes

a) >

b)

i) 0,55

j) 0,125

k) 1,42

l) 0,03

m) 0,45

n) 0,075

o) 0,625


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GRADE7

MODULETEST6

1. a) 5% b) 12%

c) 73,.

3%

2. a)25

2 b)20

9

3. 0,5;4

1 ;5

1 ; 15%

4. a) R70

b) R58,50

5. 42%

6. R297,50

7. R36,29 (ronded off)

8. 20%

9. DISCOUNT X 100

MARK PRICE 1


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1. General discussion about geometry.

2. (1) EARTH (geo) (2) MEASUREMENT (metry)

4. (a) a point

(b) angle

(c) figures

6. (a) construction line

(b) drawing line

(c) a broken line

7.1 (a) horizontal

vertical

diagonal

(b) parallel

(c) perpendicular

right

8 (a) 6

AB; AD; BC; CD; AC; BD

BD: 40 mm

(b) HJ; JH; IJ; IH

(c)

E F

(d)

G H


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(e)

M N

L

(f)

P

K

O

(g) V

X W Y

9.1 (a) acute

(b) right

(c) obtuse

(d) straight

(e) reflex

(f) revolution


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9.2 (a) 37 (b) 128 (c) 60 (d) 90 (e) 120 (f) 87

9.4 (a) equal in size

(b) The length of the lines has nothing to do with the size of the angles

.

12.2 NE : 048

E: 090

SE: 133

S: 180

12.3 C : 125 F : 070

E : 250 K : 295

W : 190

12.4


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14 (a) 42 (k) 9

(b) 70 (l) 8

(c) 6 (m) 8

(d) 9 (n) 3

(e) 18 (o) 9

(f) 36

(g) 114

(h) 117

(i) 133

(j) 146

15.2 (a) concave

(b) concave(c) convex

16.1 (a) rhombus (b) trapezium

(c) octagon (d) quadrilateral

polygon

(e) hexagon (f) heptagon

(g) pentagon (h) parallelogram

16.2 8 2 180 16.3 108

8

= 135

17.1 SIMILARITIES DIFFERENCES

* 4 equally long sides * angles of

sides rhombus not 90

* diagonals half each other

* 4 corners


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17.2 SIMILARITIES DIFFERENCES

* have 2 pairs of equally long sides * angles of parallelogram not 90

* 2 opposite sides are equally long

* have 4 corners

* diagonals halve (bisect) each other

18. (a) kite

(b) trapezium

20.2 ceilings; gates; trusses; bridges; scaffolding

22.3 (a) right-angled

(b) equilateral

(c) acute-angled(d) isosceles

(e) obtuse-angled

22.4 (a) one obtuse angle

(b) 2 sides equally long

(c) 3 different lengths

(d) one angle 90

23.1 ... one half of a figure is identical to the other half (mirror-image)

23.2 (a); (d) (e)

23.4 unlimited number

24.2 No, pentagons do not tesselate


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26 (a) 50 (i) 100

(b) 105 (j) 100 000

(c) 993 (k) 5 r. 3

(d) 995 (l) 9 r. 5

(e) 12 (m) 8 r. 6

(f) 12 (n) 9 r. 5

(g) 12 (o) 7 r. 4

(h) 7

MODULETEST

1.

The shortest possible line radius

Has no beginning or end point plane

Has a begiining point, but stretches out indefinitely point

Has length and breadth but no height straight line

2 (a) reflex

(b) obtuse

(c) straight


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3

4 (a) false

(b) true

(c) true

(d) false

5. (7 2) 180

7

= 128,57 / 128,6

6 (a) 130 (b) 300

7 (a) isosceles (b) equilateral

(c) right- angled

8. the 2 halves look exactly the same


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9.

10.

11.

There must be no openings


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1. a) Yes

b) Yes

c) Yes

1.4

1.5

1.6

1.7

3.2 250 mm

320 mm

3.3 a) 135 mm

b) 135 mm

c) 104 mm

d) 174 mm

3.4 a) area = 2 x (b + d) or area = (2 x b) + (2 x d)

b) area= 2 x (f+g) or area = (2 x f) + (2 x g)

d) area = 4 x k

e) area = (2 x a) + (2 x e) or area = 2 x (a + e)

3.5 By means of a piece of string or wool

3.6 a) 3 100 km

b) 500 km

c) 350 km

d) 15,45 h


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38. a) 42

b) own answer

c) R2,681,70

5. a) 27 i) 12

b) 27 j) 60

c) 39 k) 60

d) 18 l) 64

e) 18 m) 72

f) 9 n) 125

g) 14 o) 108

h) 2

6.4 a) (i) 9

(ii) 13

(iii) 16

b) (i) 9 cm

(ii) 13 cm

(iii) 16 cm

6.5.2 area of square = length x 4

8. a) 28 m; 45 m2

b) 6 cm

c) 4 km; 24 km

d) 7 cm; 28 cm2

e) 11 m; 11 m

9.2 a) 15 000; 1.5

b) 37 500; 3,75

c) 24 000; 2,4

9.3 a) 15 000 000; 15

b) 9 000 000; 9

c) 37 500 000; 37,5


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10. a) Yes, area of all three figures the same

b) area = (half of base) x height

11.1 1 867 km2

11.2 530 m2

11.3 9 m by 8 m

12.

13.1 a) 3 and a quarter square cm

b) 5 square cm

13.2 A

14.1 a) 64 cm2

b) 180 cm2

c) 81 m2

d) 200 m2

14.2 a) 42 m2

b) 48 cm2

c) 65 cm2

d) 64 m2

16.2 Bigger than a half + smaller than a half make 1 square, and the squares bigger than ahalf have been counted already

19. a) 30 i) 10

b) 40 j) 40

c) 25 k) 120

d) 35 l) 1,743

e) 4 986 m) 186

f) 2,51 n) 1 528


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g) 308 o) 8,249

h) 71,2

20.3.2 a) sphere

pyramid

cube

cylinder

triangular prism

cone

hexagonal prism

20.3.2 c) b) 8; 12; 6

c) 5; 8; 5d) 6; 10; 6

e) 12; 18; 8

f) 6; 9; 5

20.3.2 d) a) right-angled or rectangular prism

b) cube

c) pyramid

d) pentagonal pyramid

e) hexagonal prism

21.1.2

21.2.3

21.2.4 6; 8; 12

21.2.5 7

21.2.6

21.2.7 a) right-angled or rectangular prism

b) cuboid


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21.2.9 a)

b)

23.4 a) 108 cubic cm

b) 72 cubic cm

c) 23,625 cubic cm

d) 108 cubic cm

23.5 a) 20 cubic cm

b) 63 000 cubic mm

c) 24 000 cubic cm

d) 1 728 cubic cm

e) own answer

24.2 sugar / rice / sand fills up cube

1 000

1 000

24.3 a) 500

b) 200; 200

c) 30

d) 1 500; 1,500

e) 3 000

f) 0,950

24.3 147 litres


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MODULETEST8

1. a) 4

b) 30 000

c) 6

d) 2,5

e) 5

f) 2 000 000

g) 1

h) 1 000

2. a) cube

b) pyramid

3.1 8

3.2 5

4.

5. 114 mm

6. 48,72 cubic cm

7. Braai room = 28,125 square metres

Tiles = 0,0625 square metres

Tiles needed: 45

8. a) Tank holds 38,985 cubic metres = 38 985 000 cubic cm

Therefore: 38 985 litresb) 38,985 kl


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1. (b)

(c)

(d) pentagon; hexagon

(e)

2. levelling instrument; plummet

3. (a)

(b) 2 twice more; 3 times more;

5 times more than first rectangle

(c) 16 times

4.2.1 4.2.4 Check learners effort.

5. (a) symmetry line; symmetry axle

(b) 90 degrees

4

(c) (i) 6

(ii) 3

(iii) 2

8. (a) 14 (i) 63

(b) 37 (j) 630

(c) 47 (k) 6 300

(d) 97 (l) 630 000

(e) 0,47 (m) 3

3 cm 2 cm 10 cm 6 cm

6 cm 4 cm 20 cm 24 cm

9 cm 6 cm 30 cm 54 cm

15 cm 10 cm 50 cm 150 cm


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(f) 0,47 (n) 30

(g) 10 000 (o) 30

(h) 144

10.2.2 (a) 60

(c) 17

33

16

5

24

10.2.6 4

llll 4llll lll 8

llll 4

llll l 6

ll 2

12.2 (a) 8

(b) 7,5 (7 and a half)

(c) 7,3

12.5 Internet

14.1 14.5 Check learners efforts

14.4 Fanta

14.5 R25,00

15.1 (a) half past eight

(b) 1 hour 40 min

(c) 53 min

(d) half past six

(e) 55 min

(f) 18 hours


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15.2 (a) 14 000 km

(b) 14,7 hours

(c) approximately 7 200 km

(d) 600 km/h

(e) approximately 49 and a half

(f) 12 hours 47 min

(g) 08:05

(h) 07:05

(i) Daylight saving use as much sun as possible.

(j) USA

16.2

16.3 (1,1) (1,2) (1,3) (1,4) (1,5) (2,5) (2,4) (2,3) (3,3) (3,4) (3,5) (3,6)

(3,7) (4,7) (5,7) (6,7) (6,6) (7,6) (8,6) (8,5) (8,4) (8,3) (8,2) (8,1)

(9,1) (9,2) (9,3) (9,4) (9,5) (9,6) (9,7) (9,8) (8,8) (7,8) (7,9) (8,9)

(9,9) (9,10)

17.2 (a) 50, 7N

(b) 10, 2S

(c) 30, 5S

(d) 70, 5N

(e) 4W, 1N

(f) 5W, 3S

(g) 3W, 6N

(h) 10, 2N

19. (a) 343 (i) 90

(b) 200 (j) 150

(c) 270 000 (k) 30

(d) 1 600 000 (l) R148

(e) 100 (m) 13

(f) 164 (n) 81

(g) 83 (o) 28

(h) 0


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20.3 (a) (i) a half (one out of 2)

(ii) a half (one out of 2)

(c) one quarter (one out of 6)

(d) 2 out of 21

20.4 (a) one sixth (one out of six)

20.5 six out of 36 (one sixth)

22. ALL THE MATHS IS DONE!

MODULETEST9

1. Check learners effort.

2. glide

3. (a) Only a part of the group was questioned to get information

.

(b) About the possibility that something might happen.

4. (a) 10

(b) 10

(c) 10,6

5. (a) picture graph / pictogram

(b) Learners are six years and older in grade 1. / Nobody is younger than sixyears.

(c) 110

(d) 30

(e) 680

6.

7.4 4 out of 32 (one eigth).

tg maths gr7 module 5 9

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