ANNUAL NATIONAL ASSESSMENT GRADE 7 MATHEMATICS …

ANNUAL NATIONAL ASSESSMENT GRADE 7 MATHEMATICS

EXEMPLAR MEMORANDUM

MARKS: 100 This exemplar memorandum consists of 7 pages.

Important Information ? This is a marking guideline. In instances where learners have used different but mathematically sound strategies

to solve the problems they (learners) should be credited. ? Unless stated otherwise, learners who give a correct answer only, should be awarded full marks. ? Underline errors committed by learners and apply Consistent Accuracy (CA) marking.

KEY

M

Method mark

CA

Consistent Accuracy mark

A

Accuracy mark

QUESTION 1 1.1 C 1.2 D 1.3 B 1.4 B 1.5 D 1.6 D 1.7 B 1.8 B 1.9 A 1.10 C

QUESTION 2 2.1.1 358 876

? 49 635 M 309 241 A

1 1 1 1 1 1 1 1 1 1 [10]

Method: 1 mark Answer: 1 mark Answer only: 1 mark 2

Grade 7 Mathematics Exemplar Memorandum

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2.1.2

5 432

? 803

16 296 A

00 000

+ 4 345 600 A

4 361 896 CA

2.1.3 25 - 15 = 32 - 1 A

= 31 CA

2.1.4 43 ? 64 = 64 ? 8 A = 8 CA

2.1.5 22 ? 15

or

5 16

= 123 ? 153 M

51

164

= 9 A

4

= 2 1 CA

4

2.1.6 2,34 ? 0,2 + 101 = 0,468 + 10 A = 10,468 CA

22 ? 15

5 16

= 12 ? 15 M

5

16

= 1809

804

= 9 A

4

= 2 1 CA

4

2.1.7 6 ? 11 - 19 + 25 ? 5 = 66 ? 19 + 5 M = 47 + 5 = 52 CA

or 71 - 19

2.2 2,08 = 208 M

100

= 52 A

25

16 296: 1 mark 4 345 600: 1 mark

Answer: 1 mark Answer only: 1 mark

3 32: 1 mark

1: 1 mark Answer : 1 mark Answer only: 1 mark 3

64: 1 mark 8: 1 mark

Answer: 1 mark Answer only: 1 mark 3

12: 1 mark

5

9 / 180: 1 mark

4 80

Answer: 1 mark Answer only: 1 mark

3 0,468: 1 mark

10: 1 mark Answer: 1 mark Answer only: 1 mark 3

66: 1 mark 5: 1 mark

Answer: 1 mark Answer only: 1 mark 3

208: 1 mark

100

Answer: 1 mark 2

Grade 7 Mathematics Exemplar Memorandum

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2.3 Loss = R395,00 ? R250,00

= R145,00 A

Fraction = R145,00 M or Percentage loss = R145,00 ? 100% M

R395,00

R395,00

1

= 0,36708...

= 36,708...

% 36,7 % A

36,7 % A

R145,00: 1 mark R145,00: 1 mark

R395,00

Answer: 1 mark 3

2.4 Total number of equal parts = 5 + 3

= 8 M

Number

of

girls

=

3 8

?

40 1

M

= 15 A

or

Number of boys : Number of girls : Total = 5 : 3 : 8 M

Number

of

girls

=

3 8

?

40 1

M

= 15 A

2.5

Speed = A

=

25 000 20

/

M

= 1 250 / CA

QUESTION 3 3.1.1 49 A

81 A

3.1.2 Square numbers

3.2 Number of 4

polygons

Number of sides

21A

10 80CA

5 + 1M 51CA 401

3.3.1

Input 1 2

5 A

Rule ?3-2

Output 1 4 A

13

3 - 2 M

8: 1 mark 3 ? 40: 1 mark

8 1

Answer: 1 mark

3 Formula and / or substitution: 2 marks Answer: 1 mark 3

[31]

49: 1 mark 81: 1 mark 2 Square numbers: 1 mark 1 21: 1 mark 5: 1 mark + 1: 1 mark 51: 1 mark 80: 1 mark 5

4: 1 mark 5: 1 mark 3 - 2: 1 mark

3

Grade 7 Mathematics Exemplar Memorandum

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3.3.2

2,6

Rule

3,3

3,9 A

3 8

= 2 + 5

3.4

14 -

3

=

14

-

27 3

M

= 14 ? 9

= 5 CA

10,2

11,6 A

12,8

5

3 4

or

5,75

A

3.5 = 13 A because 7 ? 13 = 91 3.6.1 12 A 3.6.2 Time taken = 7,5 or 7 1 minutes A

2

3.6.3 Total distance = 18 A

QUESTION 4 4.1.1 an equilateral triangle A or 4.1.2 an isosceles triangle A or 4.1.3 a right-angled triangle A or 4.2

acute-angled equilateral obtuse-angled isosceles right-angled scalene

Sector A

11,6: 1 mark

3,9: 1 mark

53

4

5,75:

1 mark

3

Substitution: 1 mark

Answer: 1 mark

Answer only: 2 marks 2

= 13 : 1 mark 1

12 : 1 mark 1

7,5 / 7 1 minutes: 1 mark

2

1

18 : 1 mark 1

[20]

equilateral: 1 mark 1 isosceles: 1 mark 1 right-angled: 1 mark 1

Sector: 1 mark

Radius A

Radius: 1 mark

Chord A

Chord: 1 mark 3

Grade 7 Mathematics Exemplar Memorandum

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4.3 Reflection or 4.4

Reflection in a vertical line

Reflection: 1 mark 1

O

4.5.1 Congruent A similar A

Position: 1 mark Shape: 1 mark

2 Congruent: 1 mark

similar: 1 mark 2

Grade 7 Mathematics Exemplar Memorandum

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4.5.2

similar A congruent A

congruent A similar A

4.6

4.7 = 55 A = 23 M

4.8 Figure A: a trapezium A Figure B: a rhombus A Figure C: an octagon A

QUESTION 5 5.1 Perimeter of pentagon = 5 ? 15 M

= 75 CA

5.2

Area =

1 2

(

?

)

A

=

1 2

(18,4

)(6

)

M

= 55,2 2 CA

or

Area =

? 2

A

= (18,4 )(6 ) M

2

= 55,2 2 CA

Grade 7 Mathematics Exemplar Memorandum

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Similar: 1 mark Congruent: 1 mark

Similar: 1 mark Congruent: 1 mark

4

Length 3 blocks: 1 mark Width 1 1 blocks: 1 mark

2

2 55 : 1 mark 23: 1 mark 2 trapezium: 1 mark rhombus: 1 mark octagon: 1 mark 3

[22] 5 ? 15 : 1 mark

Answer: 1 mark Answer only: 2 marks 2

Formula and / or substitution: 2 marks

Answer: 1 mark

3

5.3.1 A rectangular prism A 5.3.2 Surface area of rectangular prism

= 2( ? ) + 2( ? ) + 2( ? ) A

= 2(5 ? 3 ) + 2(5 ? 2) + 2(3 ? 2 ) M = 30 2 + 20 2 + 12 2 = 62 2 CA = 6 200 2 CA or Surface area of rectangular prism

= 2( ? ) + 2( ? ) + 2( ? ) A

Rectangular prism: 1 mark 1 Formula and / or

substitution: 2 marks

Answer: 1 mark Conversion: 1 mark

= 2(50 ? 30 ) + 2(50 ? 20 ) +

2(30 ? 20 ) M

= 3 000 2 + 2 000 2 + 1 200 2 CA

= 6 200 2 CA or Surface area of rectangular prism

= 2( ? ) + 2( + ) ? A

= 2(5 ? 3 ) + 2(5 + 3) ? 2 M = 30 2 + 32 2 = 62 cm2 CA = 6 200 2 CA 5.4 Volume of rectangular prism = ? ? A

= (100 )(40,5 )(25 )M = 101 250 3 CA

QUESTION 6

6.1 8 = 2

means = 28 = 256

= 256 A

6.2 First number in row 1 : 12

row 2 : 22

row 3 : 32

row 20 : 202

First number in 20th row is 400 A

4 Formula and / or substitution: 2 marks Answer: 1 mark 3

[13]

= 256: 2 marks 2

400: 2 marks 2 [4]

TOTAL: 100

Grade 7 Mathematics Exemplar Memorandum

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