November Exam Memorandum Grade 8 Mathematics - Maths …

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November Exam Memorandum Grade 8 Mathematics

Please Note Read the following instructions carefully before answering the questions: 1. This answer paper consists of 12 pages and 2 sections. 2. There are other possible ways to answer some of the questions than those answers given

here. However, the final answer should still be the same. 3. Should you find any errors in the test during your moderation please do let us know via email:

mathsatsharp@seartec.co.za so that we can correct it as soon as possible. We really appreciate your help towards making this a fantastic free resource for all maths teachers across South Africa.

Section 1 - Algebra

Question 1

1.1. 3 13 824

(2)

Prime Factorize = 3 29 ? 33

Answer = 23 ? 3 = 8 ? 3 = 24

1.2 868 = 2 x 2 x 7 x 31

(3)

948 = 2 x 2 x 31 x 3

512 = 2 x 2 x 31 x

2 x 2 x 2

(For prime factorizing)

HCF = 2 x 2 x 31 = 124

LCM = 4 x 7 x 31 x 3 x 2 x 2 x 2 = 20 832

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1.3. 1.3.1. -48+6 + (-3)(-4)(-2)

-7

(3) 1.3.2. (-8)(-2) + 3 (-8)(27)

(3)

= -42 - 24

-7

= 16 + 3 -216

= 6 - 24

=4-6

= -18

= -2

1.4. 1.4.1. 1 007 996 550 = 1.00799655 x 109

(1)

1.4.2. 6 302 520 = 6.30252 x 106

(1)

1.5. 1.5.2. 4.32 x 104 = 43 200

(1)

1.5.2. 9.0045 x 105 = 900 450

(1)

1.6.

1.6.1.

23 (2)3

?

(34)0 4

=

23 6

? 4

1

=

64 6

= 4

(4)

1.6.2.

46 2

?

43 4

=

23 2

?

43 4

=

264 42

=

62 2

(2)

1.7. 1.7.1. The value of the position squared plus the value of the position.

OR 2 +

OR add 2 more than was added to the previous number

1.7.2. 90

(2) (2)

[25]

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Question 2

2.1. 2.1.1. 4 terms

(1)

2.1.2. -12

(1)

2.1.3.

-

3 5

for negative

for

3 5

(2)

2.1.4.

45 - 3 3 + 7 - 12

5

if = -3

(3)

= 4(-3)5 - 3 (-3)3 + 7(-3) - 12

5

= 4(-243) - 3 (-27) - 21 - 12

5

= -972 + 16 1 - 33

5

=

-988

4 5

2.2. 2.2.1. 2(32 - 4 + 7) - 3(22 + 8 - 9)

(3)

= 63 - 82 + 14 - 62 - 242 + 27

= -322 + 41

2.2.2. 54+152-25

(2)

5

= 54 + 152 - 25

5 5 5

= 3 + 3 - 5

2.3. 2.3.1. + 9 = 2

(2)

8

= -7

8

= -56

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2.3.2.

3 5

-

7

=

5

3 = 12

5

3 = 60

= 20

2.4. = 2 + 2

20 = 2() + 2( - 2)

20 = 2 + 2 - 4

24 = 4

= 6

The first side is 6cm and the second side is 4cm.

Question 3

3.1.

Fraction 2 3 13 20 41 50

Decimal 0.66 0.65 0.82

3.2. 3.2.1. Jamie = 12% = 0.12

Anita = 0.3

and

Thando

=

1 4

=

0.25

Anita does the most work.

(3)

(3)

[20]

(6) Percentage

2 66 3 % 65% 82%

(2)

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3.2.2. Work done = 12% + 30% + 25%

= 67%

Still to be done = 100% - 67%

= 33%

Question 4

(3) [11]

4.1.

(5)

x

1

2

3

4

6

8

12

16

y1

36

32

28

24

16

8

-8

-24

y2

36

18

12

9

6

4

1 2

3

2

1 4

4.2. 1 = -4 + 40 OR subtract 4 from the previous number

(2)

2 = 36 ? OR 36 divided by the one number to get the second number.

4.3. 1 is decreasing 2 is also decreasing.

4.4.

(2)

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