GRADE 10 MATHEMATICS (PAPER 1) MEMORANDUM
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
................
................
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