Chapter 1 :

SPM Format Questions1.

In Diagram 1, PQRST is a regular pentagon, TQUR is a parallelogram and PQU is a straight line. The value x + y =A 36

C 108

B 72

D 144

2.

In Diagram 2, PN = NM and PQK = KLN =. PNS and PMR are straight lines. The value of y - x =

A 8

C 53

B 16

D 69

3.

In Diagram 3, PQVTU is a regular pentagon and QRSV is a parallelogram. The value of TSR

A 36

C 72

B 54

D 108

4.

In Diagram 4, the value of x + y =

A 235

C 245

B 240

D 250

5.

In Diagram 5, PQRUV is a regular pentagon and RSTU is a rhombus. The value of x + y =A 220

C 260

B 240

D 280

6.

In Diagram 6, PQRU is a square and QRSV is a parallelogram. PVR is a straight line. The value of x =A 110

C 120

B 115

D 1257.

In Diagram 7, PWV, WUS, WQR, PQUT and RST is straight line. PWV and RST are parallel. The value of x + y =

A 80

C 100

B 90

D 110

8.

In Diagram 8, PQRSWX is a regular hexagon. SV is parallel to TU. The value of x + y =A 184

C 204

B 192

D 212

9.

In Diagram 9, RSTUVY is a regular hexagon. WVU is straight line. The value of x =A 120

C 220

B 140

D 240

10.

In Diagram 10, PQRSTU is a regular hexagon. USW and WVQ are straight lines. The value of x + y =

A 70

C 90

B 80

D 100

11.

Diagram 11In Diagram 11, QR = RS. The value of x + y =

A 67.5

C 117.5

B 80.5

D 147.5

12.

Diagram 12

In Diagram 12, E,F,G,H and I are some parts of a regular octagon vertices, EI is a straight line, the value of x + y =

A 45

C 135

B 100

D 150

13.

In Diagram 13, PQRST is a regular pentagon. PQV and SRV are straight lines. The value of x+ yA 72

C 108B 86

D 144

14.

In Diagram 14, SQRT is a straight line, PS = SR = RT, the value of x + y =A 120

C 180

B 150

D 210

15.

In Diagram 15, PQRSTU is a regular hexagon. PQY is a straight line. The value of x + y =A 68

C 136

B 90

D 180

16.

In Diagram 16, QRSTUV is a regular hexagon. PQVWX are five continues vertices of a regular polygon with n sides. RVW is a straight line.

A 15

C 10

B 12

D 7

17.

In Diagram 17, PRT and QRS are straight lines. Find the value of x.

A 45

C 65

B 60

D 70

18.

In Diagram 18, PQRST is a regular pentagon. QPU and STUV are straight lines. Find the value of y.

A 72

C 108

D 100

D 144

19.

Diagram 19 shows a hexagon, Find the value of x + y.

A 130

C 160

B 140

D 180

20.

In Diagram 20, ABCDE is a regular pentagon. AEF and GFDC are straight lines. Find the value of x.

A 36

C 108

D 72

D 118

21.

In Diagram 21, ABCDE is a regular pentagon. ABC and DCG are straight lines. Given BC is parallel to PQ. Find the value of x + y.A 100

C 114B 106

D 13822.

Diagram 22 shows a regular hexagon, EL and HGL are straight lines. The value of y is

A 15

C 60

B 45

D 120SPM Past Year QuestionsNovember 2003

1.

In Diagram 1, PQRSTU is a regular hexagon. PUV and QPW are straight lines. The value of x + y =A 69

C 76

B 72

D 86

2.

In Diagram 2, PWQ is an isosceles triangle. PQR., PWV and STU are straight lines. The value of x + y =A 240

C 300

B 280

D 380

July 20041.

In Diagram 1, PQSTU is a regular pentagon. PQR and TSR are straight lines. The value of x is

A 36

C 60

B 54

D 72

2.

Diagram 2 shows a regular polygon. The value of y is

A 160

C 135

B 140

D 120

November 20041.

In Diagram 1, GHJKL is a regular pentagon. FGH and FMJ are straight lines. The value of x + y =A 57

C 36

B 42

D 21

November 2005

1.

Diagram 1 shows a pentagon PQRST. Straight line PQ is parallel to straight line UTS. Find the value of x + yA 216

C 250

B 222

D 260

2.

Diagram 2 shows a rhombus PQRS. Find the value of z.

A 15

C 60

B 45

D 75

July 2005

In diagram 1, PQRTU is a regular pentagon and RST is a straight line.Find the value of m.

A 36

B58

C65

D72July 2006

1.

In Diagram 1, PQRST is a regular pentagon and TUVP is a quadrilateral. STU is a straight line.

Find the value of y.

A 72

B 73

C 80

D 81

P

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Diagram 2

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Diagram 1

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Diagram 13

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Diagram 18

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Diagram 22

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Diagram 2

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