MATHEMATICS PAPER 1 MID YEAR EXAMINATION 2019 MEMORANDUM
GRADE 10
MATHEMATICS PAPER 1 MID YEAR EXAMINATION 2019 MEMORANDUM
MARKS: 75
This memorandum consists of 6 pages
Demo
NW/JUNE/MATH/ EMIS/6*******
Mathematics Memo/P1
QUESTION 1[9]
1.1.1 1.1.2
v 2E m
2132 12
22
irrational
2 Grade 10
1.1.3
16 22 25 4 22 5 it lies between integers 4 and 5
1.2
0,52 0,5222222222..
let x 0,52
10x 5, 2 (1)
100x 52, 2 (2)
equation (2) - (1)
90x 47
x 47 92
QUESTION 2[18]
2.1.1 a 2 2a ax 2x a(a 2) x(a 2) (a 2)(a x)
2.1.2 2.2.1
x3 27 (x 3)(x2 3x 9)
x2 3x 9
x2 3x 9
x3
(2 y 3)(6 y 2 4 y 8) 2 y(6 y 2 4 y 8) 3(6 y 2 4 y 8) 12y3 8y2 16y 18y2 12y 24 12y3 10y2 28y 24
NW/June 2019
substitution answer
(2) answer
(1) 16 22 25 answer
(2)
equation 1 equation 2
90x 47 answer
(4)
a(a 2) x(a 2) answer
(3) factors answer
(3)
12y3 8y2 16y 18y2 12y 24 answer
(3)
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NW/JUNE/MATH/ EMIS/6*******
Mathematics Memo/P1
2.2.2
22n 4n 2 22n 22n.2
16n
24n
24n2 24n
2
3 Grade 10
2.2.3
3x3 7x 2 6x 3x 2 2x x(3x 2 7x 6) x(3x 2)
x2 9
3x 9 (x 3)(x 3) 3(x 3)
x(3x 2)(x 3) 3(x 3) (x 3)(x 3) x(3x 2)
3
NW/June 2019
changing 4 n to 2 2n changing 16n to 24n
answer (3)
x(3x 2 7x 6) (x 3)(x 3) x(3x 2) 3(x 3) (3x 2)(x 3) answer
(6)
QUESTION 3[17]
3.1.1
9x 4 5(2x 3) 9x 4 10x 15 9x 10x 4 15 18x 18 x 1
3.1.2 3.2
4x 1 256
22x 1 28
22x 28 2x 8 x 4
10 x 4 12 10 4 x 12 4 6 x8
6
removing brackets
adding like terms answer
(3)
expressing both 4 and 256 as the base of 2
answer (2)
transposing 4
critical values
notation
graphical
representation
8
(4)
Demo
NW/JUNE/MATH/ EMIS/6*******
Mathematics Memo/P1
4 Grade 10
3.3
A R2 r2
A R 2 r 2
A R 2 r 2
3.4.1
r R2 A
x2 9y2 99
(x 3y)(x 3y) 99
x 3y 99 x 3y
3.4.2 x 3y 99 x 3y
x 3y 99 3
x 3y 33 equation1
x 3y 3 equation2
2x 36
x 18
18 3y 33
3y 15
y 5
QUESTION 4[10]
4.1.1 11; 16
4.1.2
4.1.3 4.1.3
Pattern is linear, Tn dn c To solve for c , substitute n 1and T1 4 4 5(1) c c 9 Tn 5n 9
Tn 5n 9 T27 5(27) 9
126 Tn 5n 9
71 5n 9 5n 80 n 16
4.2 111111X111111
Demo
NW/JUNE/MATH/ EMIS/6*******
NW/June 2019
r 2 subj. of formula r subj. of formula NB: DO NOT PANELISE IF WRITE R2 A
(2)
factors answer
(2)
substituting 3
2x 36 value of x
value of y (4)
each term (2)
substitution value of c answer
(3) substitution answer
(2) substitution
answer (2)
answer (1)
Mathematics Memo/P1
QUESTION 5[10] 5.1 y 1 5.2
5 Grade 10
NW/June 2019
answer (1)
Parabola x ? intercepts Turning point concave up Exponential intercepts at (0;0) asymptote increasing function
(6)
5.3 y 1 OR y (1; )
5.4 reflection about the x axis
answer (1)
reflection x axis
(2)
Demo
NW/JUNE/MATH/ EMIS/6*******
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