December Exemplar Examination Memo
Question 1 1.1.1 √
1.2 −2 1
__ 2
______ 2 401 = √
_____________ 7 × 7 × 7 × 7 = 49
1.1.2 729 = 3 × 3 × 3 × 3 × 3 × 3 405 = 5 × 3 × 3 × 3 × 3 The HCF of 729 and 405 is 81
( 3 2 __
= − 5 = − 5
__ 2
= − 25 = −2 1
___ 12
___ 12
1.3.1 ( 2 3 a b 2 c ) 2 1.3.2 ( − 9 x 2 y 4
_______ (4ab ) 3 = b c 2
___ a
_____________ ) × 6x y −1 3xy × ( − 3 x 2 ) = − 54 x 3 y 3
Question 2 2.1.1
Shape number (g) Number of dominoes (d) Perimeter of the shape (p) (cm) 2.1.2 24n − 6
2.1.3 24n − 6 = 24 ( 150 ) − 6 = 3 594 cm 2.2.1 P = 40t + 5 t 2 = 40 ( 5 ) + 5 ( 25 ) = R325
2.2.2 900 = 40t + 5 t 2 5 ( t 2 + 8t − 180 ) = 0 5 ( t + 18 ) ( t − 10 ) = 0 t = −18 or t = 10
The trip was 10 days long.
Question 3 3.1.1 36 x 4 − 1
3.1.2 a 2 − ab
_______ 6 x 2 + 1 = ( 6 x 2 − 1 ) ( 6 x 2 + 1 ) _____________
6 x 2 + 1 = 6 x 2 − 1
______ a + b 2 − ab
______ b = a ( a − b ) ______
a + b ( b − a ) ______ b = ( a − b ) + ( b − a ) = 0 (2) (2)
1 1
18
2 3
42
3 5
66
4 7
5 9
6 11 7 13 8 15 90 114 138 162 186
(3) (1) (1) (1)
_______ − 9 x 3 y
= 6 y 2 (2) (2) (3) [12]
3 − 2 5 __
6
( 22 − 17 ______
6
__ 2 × 5
__ 6
) = − 5 __
) 2
( 11 ___
3 − 17 ___
6 ) (3) (2)
(3) [9]
350 Section 4: Teaching Mathematics
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