1. Programme for International Student Assessment (PISA)
ข้อสอบคณิตศาสตร์
ชุดที่ 3
โครงการปรัเมินผลนะกเรียนนานาชาติ (PISA)
สถาบะนสFงเสริมการสอนวิทยาศาสตรFแลัเทคโนโลยี (สสวท.)

2. F F ˈ F F ก F F
c ก ก F
a
ก F ˈ a, b c a 2 + b2 = c 2
b
c ˈ F F ก
b
ก
= a×b
a กF b
a
1
h = b×h
b
F กh b 2
r
F ก r F = 2×π×r
ก r = π × r2
ก กF ( ก)
h l กF w = l × w× h
w h
l
r ก ก ʽ r = 2 × π × r2 + 2 × π × r × h
h = 2 × π × r × (r + h )
h
ก ก r
= π × r2 × h
h
ก r = 4 × π × r2
r
4
ก r = × π × r3
3
22
: ก F 3.14 ก F π
7
F 2 F F 3

3. ก ก ก F
F ก F ก F F F F F F
F ก กก F F F F F
F ก ก F F F ก F ก F
F F ก F ก F F
ก F F F ก
F ก F ˈ /
F ก F ก F ก ก F
ก F ก F ก ก F ก F
ก ก ก ก ก ก F ก F F
F ˈ ก F F ก
F F F F F ก F ก F
F
ก F F ˈ F Fก
F
F F F F ก F F ก F F
F ก F F ˈ F ก F ก ก
ก (Programme for International Student Assessment PISA) F
ก F ก F ก F ก F F F
F F F
F F 3 F 3

4. ˈ
F F ˈ ก F F ก ก กก F F
T
12 .
H G
E
F
D
C
N M
12 .
K L
A 12 . B
ABCD ˈ ก
EFGHKLMN ( ) E ˈ กก F F AT F ˈ กก
F F BT G ˈ ก ก F F CT H ˈ ก ก F
F DT ก F 12 Fก
F 4 F F 3

5. 1: M037Q01
ABCD
ABCD = ______________
2: M037Q02
F F EF
F F EF = ____________
F F 3 F 5

6. F F Fก ก
Fก ก
ก F
F
ก 0 200 400 600 800 1000
F 6 F F 3

7. 3: M148Q02 01 02 11 12 13 14 21 22 23 24 25 99
F Fก ก F F ก
F ( ก ก F ก F F F F Fก
F )
...............................................................................................................................................
...............................................................................................................................................
F F 3 F 7

8. F
ก F F ก F F
3ก
F 3ก .
(ก ./ .)
( )
F
(ก .)
4: F M159Q01
ก F F F ˈ F
ˈ F
1. 0.5 ก
2. 1.5 ก
3. 2.3 ก
4. 2.6 ก
5: F M159Q02
F ก
1. F
2. ก 0.8
3. ก 1.3
4.
F 8 F F 3

9. 6: F M159Q03
F F ก 2.6 ก 2.8 ˈ F
1.
2.
3.
4. F ก F กก
7: F M159Q04
F F F F ก
F F F ก ก F F F ก F
S S 2.
1.
A
S 3.
S
A
4.
S A
5.
A
S: F
F F 3 F 9

10. F F
8: F F M266Q01
F F ก 32 F ก F F F ก F F F
4
1 2
6 6
10 10
3 4
6 6
10 10
ก F F F F กF F F F ก F
Fก 32 F F F
F F ก F
F F 32 F F F
1 F / F F
2 F / F F
3 F / F F
4 F / F F
F 10 F F 3

11. F
9: F M468Q01
F F F F 100
F F ก F ก F ก 60
F F F 80
F F F F Fก F
F : ...........................................................
F F 3 F 11

12. ก
ก F ก ก F F
ˀ กก ก ก F F
ก
F ก F ก
8 ก F 100
F ก ( ) F ( )
1 0.147 10.09
2 0.136 9.99
3 0.197 9.87
4 0.180 F ก F
5 0.210 10.17
6 0.216 10.04
7 0.174 10.08
8 0.193 10.13
10 : ก M432Q01 - 0 1 9
F F กก F
F F F F ก F
F ก ( ) F ( )
F 12 F F 3

13. 11 : ก M432Q02 - 0 1 9
ก F ก F F ก F 0.110
Fก ก ก ก F ก F 0.110 F F ก F
F ก ก F ก F ก ก F กF F ˀ
F F F ก F ก F F
F
...............................................................................................................................................
...............................................................................................................................................
...............................................................................................................................................
F F 3 F 13

14. 12 : M471Q01
F F ก F ก F ก F F F F F F F F
ก F ก F F F
1 4
2 10
6 8
F F F Fก F ก 1
ˈ F F ˈ F
1. ˈ F F F
2. ˈ F F ก F
3. F 50%
4. ˈ F ก F
5. F F
F 14 F F 3

15. 13 : M505Q01 - 0 1 9
ก ก F F ก F F ก ก ก
F F
ก
กก F 1-3 ʾ
กF 1-3 ʾ
กF ก 0.5 ʾ
ก 20-25 ʾ
F 2-3
F ก กก F 100 ʾ
ก F F ˈ ก F
F F F ก F F ก F F
...............................................................................................................................................
...............................................................................................................................................
...............................................................................................................................................
F F 3 F 15

16. ก CO2
ก F ก Fก กF CO2 ก F ก
F F ก F กF CO2 ʾ 1990 ( F F ) ( )
F ก F กF CO2 ʾ 1998 ( F ) F Fก ก F
กF F ʾ 1990 1998 ( F ก ˈ %)
ก F กF ʾ 1990 (CO2 F )
6 727
ก F กF ʾ 1998 (CO2 F )
6 049
4 208
4 041
3 040
1 962
1 331
1 213
1 209
1 020
692
612
485
423
218
236
ˁ
F
ก
F
F Fก
-35% -4% -16%
ก F กF
ก ʾ 1990 1998 +11% +10% +13% +15% +8%
F 16 F F 3

17. 14 : ก CO2 M525Q01 - 0 1 2 9
F FF ก ก F กF CO2 ก ก ʾ 1990 1998
ˈ 11%
ก F F 11% F
...............................................................................................................................................
...............................................................................................................................................
...............................................................................................................................................
...............................................................................................................................................
15 : ก CO2 M525Q02 - 0 1 9
F F F F Fก ก F
กF F F F (16%) กก F F F
( 4%) ˈ F F ˈ F
ก F ก FF ˈ F F F F
...............................................................................................................................................
...............................................................................................................................................
...............................................................................................................................................
...............................................................................................................................................
16 : ก CO2 M525Q03 - 0 1 2 9
ก F ( ) ก F กF CO2 ก
F F ก F F F F ก
F F ก F F F F F
...............................................................................................................................................
...............................................................................................................................................
...............................................................................................................................................
...............................................................................................................................................
F F 3 F 17

18. ก F
F F ก ก ก F F F ก F ก
F F ก F ก ก
ʾ F F F ก F ˈ ก
F ˈ
ก F ˈ = 220
ก กF ก ก F F ˈ
ก F ˈ = 208 (0.7 x )
17 : ก F M537Q01 - 0 1 9
F F ก F F กF ก F
F ˈ F ก F ก ก F
ก F ก F ˈ กก F F
F
...............................................................................................................................................
...............................................................................................................................................
...............................................................................................................................................
18 : ก F M537Q02 - 0 1 9
ก F ˈ = 208 (0.7 x ) F F ก ʿก F
ก F ก F ก ʿก F 80%
ก F ˈ
ก ก F ก ʿก F
F F
...............................................................................................................................................
...............................................................................................................................................
...............................................................................................................................................
F 18 F F 3

19. 19 : M806Q01
F ก F
1 2 3
F F 1 2 ก
3
F F ก F 4
: .......................................................
F F 3 F 19