Spm Mat Trial 16 1
SPM MATHEMATICS TRIAL SET 2 PAPER 1 Answer all questions. 1 Round off 0.09207 correct to three significant figures. A B C D 2 0.09200 0.0921 0.0920 0.092
State 0.0004009 in standard form A B C D
4009 × 107
4009 × 10−7
4 .009 × 10 4
4.009 × 10−4
3
8.32 × 10 −6 + 7.6 × 10 −8
A B C D 8.396
8.396 × 10 −6
8.396 × 10 −8 8.369 × 10 −6
4
Express 4235 as a number in base eight. A B C D
1618 6518 1138 110 8
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1
5
1001112 − 101012 =
A B C D
10010 2 11010 2 111012 100112
6
In Diagram 1, UTV is a tangent to the circle PQST at T. PQR and RST are straight lines. P Q yº S R
30º
50º
U T DIAGRAM 1 Calculate the value of y. A B C D 15 20 30 35 V
7
(− 2 x − y )2
A B C D
− 4 x (1 − 3 x ) =
16 x 2 + y 2 + 4 xy − 4 x 16 x 2 − y 2 − 4 xy − 4 x 16 x 2 + 4 xy 16 x 2 − xy
Portal Pendidikan Utusan 2008 © Hak Cipta Terpelihara Utusan Melayu (M) Berhad, Kuala Lumpur
2
8
In Diagram 2 , LMN and LQR are tangents to the circle centre O at M and Q. N M
P
β°
O
70
Q
o
R
α°
L MP is parallel to LQR. Calculate the value of α + β. A B C D 9 70 90 110 140 DIAGRAM 2
t 4t 2 − 3 − as a single fraction in its simplest form. Express 3 12t
A B C D t 4 1 4t − − 4 t 1 4t
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3
10
Diagram 3 shows five triangles drawn on a square grid.
B A T D C DIAGRAM 3 Which of the triangles, A, B, C or D is the image of triangle T under an enlargement with a scale factor of 2? 11 In Diagram 4, PQR is a straight line. S
θ° R
6 cm Q DIAGRAM 4
P
4 Given cos θ ο = − . Calculate the value of tan ∠RSP. 5
A B C D
10 3
4 3 − − 4 3 10 3
Portal Pendidikan Utusan 2008 © Hak Cipta Terpelihara Utusan Melayu (M) Berhad, Kuala Lumpur
4
12 .
In Diagram 5 , B is the image of A under a transformation y
4
State 0.0004009 in standard form A B C D
4009 × 107
4009 × 10−7
4 .009 × 10 4
4.009 × 10−4
3
8.32 × 10 −6 + 7.6 × 10 −8
A B C D 8.396
8.396 × 10 −6
8.396 × 10 −8 8.369 × 10 −6
4
Express 4235 as a number in base eight. A B C D
1618 6518 1138 110 8
Portal Pendidikan Utusan 2008 © Hak Cipta Terpelihara Utusan Melayu (M) Berhad, Kuala Lumpur
1
5
1001112 − 101012 =
A B C D
10010 2 11010 2 111012 100112
6
In Diagram 1, UTV is a tangent to the circle PQST at T. PQR and RST are straight lines. P Q yº S R
30º
50º
U T DIAGRAM 1 Calculate the value of y. A B C D 15 20 30 35 V
7
(− 2 x − y )2
A B C D
− 4 x (1 − 3 x ) =
16 x 2 + y 2 + 4 xy − 4 x 16 x 2 − y 2 − 4 xy − 4 x 16 x 2 + 4 xy 16 x 2 − xy
Portal Pendidikan Utusan 2008 © Hak Cipta Terpelihara Utusan Melayu (M) Berhad, Kuala Lumpur
2
8
In Diagram 2 , LMN and LQR are tangents to the circle centre O at M and Q. N M
P
β°
O
70
Q
o
R
α°
L MP is parallel to LQR. Calculate the value of α + β. A B C D 9 70 90 110 140 DIAGRAM 2
t 4t 2 − 3 − as a single fraction in its simplest form. Express 3 12t
A B C D t 4 1 4t − − 4 t 1 4t
Portal Pendidikan Utusan 2008 © Hak Cipta Terpelihara Utusan Melayu (M) Berhad, Kuala Lumpur
3
10
Diagram 3 shows five triangles drawn on a square grid.
B A T D C DIAGRAM 3 Which of the triangles, A, B, C or D is the image of triangle T under an enlargement with a scale factor of 2? 11 In Diagram 4, PQR is a straight line. S
θ° R
6 cm Q DIAGRAM 4
P
4 Given cos θ ο = − . Calculate the value of tan ∠RSP. 5
A B C D
10 3
4 3 − − 4 3 10 3
Portal Pendidikan Utusan 2008 © Hak Cipta Terpelihara Utusan Melayu (M) Berhad, Kuala Lumpur
4
12 .
In Diagram 5 , B is the image of A under a transformation y
4