GRADE 10 MATHEMATICS (PAPER 1) MEMORANDUM

[Pages:7]GAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION

JUNE 2016

GRADE 10

MATHEMATICS (PAPER 1)

MEMORANDUM

6 pages

MEMORANDUM

MATHEMATICS (Paper 1)

GAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION

MATHEMATICS (Paper 1)

MEMORANDUM

Grade 10

QUESTION 1

1.1 0,88 88 = 44 22 100 50 25

1.2

undefined

Any acceptable

(1)

fraction

11

(1)

1.3 Between and QUESTION 2 2.1 2.1.1

= = 2.1.2 = = 1

2.1.3 = = =

,

multiplication simplification

(2) [4]

(2)

(3) (x 3)(x 2 3x 9) (x 3)(x 3) 1

(3)

2

OR

2x 2 y 2 8x 5 y 8

=

4x 4 .y 8

2x 2 .x 4 .8 y 8 = 4 y8.y 2.x5

= =

2.2 2.2.1

2.2.2 = = = =

QUESTION 3 3.1 3.1.1

3.1.2

or or

( )

MEMORANDUM

MATHEMATICS (Paper 1)

OR

2x 2 .x 4 .8 y8

Grade 10

(2)

(3)

Accept alternative grouping

[13]

(2)

(4)

( ) or

or 23

3

3.2 2(2x 3) 18 2x 4x 618 2x 4x 2x 618 2x 24 x 12

MEMORANDUM

MATHEMATICS (Paper 1)

Grade 10

Simplification

(4)

4x 6

x 12

Representing on the number line and 12 includedand arrow

NOTE: If 12 is included with a line 1mark

4

3.3 ..........2

Sub 3 in 2

Sub

in equation 1

MEMORANDUM

MATHEMATICS (Paper 1)

Grade 10

substitution

Alternative method (elimination method)

Multiply equation 1 by 2 ...........3 ...........2

Subtract equation 2 from equation 3

Sub

in equation 2

Multiply by 2

Eliminating

Substitution

(5) [15]

5

QUESTION 4 4.1 4.1.1

4.1.2

Top Bottom =

4.2 4.2.1

4.2.2

MEMORANDUM

MATHEMATICS (Paper 1)

Grade 10

1417

(2)

(2)

(1)

(2)

[7]

6

QUESTION 5

5.1 5.1.1

f (x) x2 2 g(x) 3x

MEMORANDUM

MATHEMATICS (Paper 1)

Grade 10

-1 0

1

-1 -2 -1

-1 0

1

1 1

3

3

f( ) and y-intercept

5.1.2 5.1.3

OR [2; )

5.1.4 2 units down 5.2

shape both graphs

(4)

(1)

y 2

(1)

OR [2; )

(brackets MUST be

correct)

2 down

(2)

substitution of

(3)

asymptote

substitution

(5;-5) [11]

TOTAL: 50

7

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