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Modul ENRICHMENT Matematik SPM 2014
Tajuk: Poligon
1. In Diagram 1, ABCDE is a regular
pentagon. GAB and GFC are straight
lines.
Dalam Rajah 1, ABCDE ialah sebuah
pentagon sekata. GAB dan GFC ialah
garis lurus.
Find the value of x + y.
Cari nilai x + y.
A 28o
B 30o
C 36o
D 40o
2. In Diagram 2, P, Q, R and S are the
vertices of a regular polygon.
Dalam rajah 2, P, Q, R dan S ialah empat
bucu bagi sebuah poligon sekata.
Given that PQH and HRS are straight lines
and HQ = HR, find the number of sides of
the regular polygon.
Diberi bahawa PQH dan HRS ialah garis
lurus dan HQ=HR, cari bilangan sisi
poligon sekata tersebut.
A 5
B 9
C 10
D 12
3. Diagram 3 shows a regular pentagon
PQRST and its centre O.
Rajah 3 menunjukkan sebuah pentagon
sekata PQRST dan pusatnya O.
Find the value of x + y.
Cari nilai x + y.
A 216
B 240
C 252
D 288
4. Diagram 4 shows part of a regular
polygon PQRS and an equilateral triangle
RST. QRT is a straight lines.
Rajah 4 menunjukkan sebahagian
daripada sebuah poligon sekata PQRS
dan sebuah segitiga sama sisi RST. QRT
ialah garis lurus.
The value of m is
Nilai m ialah
A 80
B 120
C 160
D 200
Diagram 1/Rajah 1
Diagram 2/Rajah 2
Diagram 3/Rajah 3
Diagram 4/Rajah 4
2
5. Diagram 5 shows regular hexagon
PQRSTU and RSW is a straight lines.
Rajah 5 menunjukkan sebuah heksagon
sekata PQRTSU dan RSW ialah garis
lurus.
Find the value of x.
Cari nilai x.
A 75
B 85
C 95
D 115
6. Diagram 6 shows regular hexagon
ABCDEF and a quadrilateral BCDG. EDG
is a straight lines.
Rajah 6 menunjukkan sebuah heksagon
sekata ABCDEF dan sebuah sisiempat
BCDG. EDG ialah garis lurus.
Find the value of x + y.
Cari nilai x + y.
A 35
B 65
C 85
D 95
7. Diagram 7 shows a regular pentagon.
ABCDE and an isosceles triangle BFG.
ABF is a straight line.
Rajah 7 menunjukkan sebuah pentagon
sekata ABCDE dan sebuah segitiga sama
kaki BFG. ABF ialah garis lurus.
Given BF = BG, find the value of p – q.
Diberi BF = BG, cari nilai p – q.
A 18
B 36
C 54
D 72
8. In Diagram 8, PQRST is a regular
pentagon and QSVU is a parallelogram.
QTU and RSV are straight lines.
Dalam Rajah 8, PQRST ialah sebuah
pentagon sekata dan QSVU ialah sebuah
segiempat selari. QTU dan RSV ialah
garis lurus.
Find the value of x.
Cari nilai x.
A 120
B 135
C 144
D 150
Diagram 5/Rajah 5
Diagram 6/Rajah 6
Diagram 7/Rajah 7
Diagram 8/Rajah 8
3
9. In Diagram 9, PQR ia an equilateral
triangle. PRST and UVW are straight
lines.
Dalam Rajah 9, PQR ialah sebuah segitiga
sama sisi. PRST dan UVW ialah garis
lurus.
Find the value of x + y.
Cari nilai x + y.
A 75
B 85
C 95
D 155
10. Diagram 10 shows a pentagon PQRST.
Straight lines RS is parallel to straight line
UPT.
Rajah 10 menunjukkan sebuah pentagon
PQRST. Garis lurus RS adalah selari
dengan garis lurus UPT.
Find the value of x + y.
Cari nilai x + y.
A 216
B 222
C 250
D 260
Diagram 9/Rajah 9
Diagram 10/Rajah 10
4
Skema Jawapan
Modul ENRICHMENT Matematik SPM 2014
Tajuk: Poligon
1. C
2. B
3. C
4. B
5. B
6. B
7. A
8. C
9. A
10. D

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Soalan jadual anjal

  • 1. 1 Modul ENRICHMENT Matematik SPM 2014 Tajuk: Poligon 1. In Diagram 1, ABCDE is a regular pentagon. GAB and GFC are straight lines. Dalam Rajah 1, ABCDE ialah sebuah pentagon sekata. GAB dan GFC ialah garis lurus. Find the value of x + y. Cari nilai x + y. A 28o B 30o C 36o D 40o 2. In Diagram 2, P, Q, R and S are the vertices of a regular polygon. Dalam rajah 2, P, Q, R dan S ialah empat bucu bagi sebuah poligon sekata. Given that PQH and HRS are straight lines and HQ = HR, find the number of sides of the regular polygon. Diberi bahawa PQH dan HRS ialah garis lurus dan HQ=HR, cari bilangan sisi poligon sekata tersebut. A 5 B 9 C 10 D 12 3. Diagram 3 shows a regular pentagon PQRST and its centre O. Rajah 3 menunjukkan sebuah pentagon sekata PQRST dan pusatnya O. Find the value of x + y. Cari nilai x + y. A 216 B 240 C 252 D 288 4. Diagram 4 shows part of a regular polygon PQRS and an equilateral triangle RST. QRT is a straight lines. Rajah 4 menunjukkan sebahagian daripada sebuah poligon sekata PQRS dan sebuah segitiga sama sisi RST. QRT ialah garis lurus. The value of m is Nilai m ialah A 80 B 120 C 160 D 200 Diagram 1/Rajah 1 Diagram 2/Rajah 2 Diagram 3/Rajah 3 Diagram 4/Rajah 4
  • 2. 2 5. Diagram 5 shows regular hexagon PQRSTU and RSW is a straight lines. Rajah 5 menunjukkan sebuah heksagon sekata PQRTSU dan RSW ialah garis lurus. Find the value of x. Cari nilai x. A 75 B 85 C 95 D 115 6. Diagram 6 shows regular hexagon ABCDEF and a quadrilateral BCDG. EDG is a straight lines. Rajah 6 menunjukkan sebuah heksagon sekata ABCDEF dan sebuah sisiempat BCDG. EDG ialah garis lurus. Find the value of x + y. Cari nilai x + y. A 35 B 65 C 85 D 95 7. Diagram 7 shows a regular pentagon. ABCDE and an isosceles triangle BFG. ABF is a straight line. Rajah 7 menunjukkan sebuah pentagon sekata ABCDE dan sebuah segitiga sama kaki BFG. ABF ialah garis lurus. Given BF = BG, find the value of p – q. Diberi BF = BG, cari nilai p – q. A 18 B 36 C 54 D 72 8. In Diagram 8, PQRST is a regular pentagon and QSVU is a parallelogram. QTU and RSV are straight lines. Dalam Rajah 8, PQRST ialah sebuah pentagon sekata dan QSVU ialah sebuah segiempat selari. QTU dan RSV ialah garis lurus. Find the value of x. Cari nilai x. A 120 B 135 C 144 D 150 Diagram 5/Rajah 5 Diagram 6/Rajah 6 Diagram 7/Rajah 7 Diagram 8/Rajah 8
  • 3. 3 9. In Diagram 9, PQR ia an equilateral triangle. PRST and UVW are straight lines. Dalam Rajah 9, PQR ialah sebuah segitiga sama sisi. PRST dan UVW ialah garis lurus. Find the value of x + y. Cari nilai x + y. A 75 B 85 C 95 D 155 10. Diagram 10 shows a pentagon PQRST. Straight lines RS is parallel to straight line UPT. Rajah 10 menunjukkan sebuah pentagon PQRST. Garis lurus RS adalah selari dengan garis lurus UPT. Find the value of x + y. Cari nilai x + y. A 216 B 222 C 250 D 260 Diagram 9/Rajah 9 Diagram 10/Rajah 10
  • 4. 4 Skema Jawapan Modul ENRICHMENT Matematik SPM 2014 Tajuk: Poligon 1. C 2. B 3. C 4. B 5. B 6. B 7. A 8. C 9. A 10. D