Exercise 1A

1 a 3 a
A B Instruction n A Print
244 125 step
1 1 1
122 250 2 1
61 500 3 4
30 1000 4 2
5 2 10 go to step 2
15 2000
2 4
7 4000
3 9
3 8000 4 3
1 16 000 5 310 go to step 2
Total 30 500 2 9
3 16
4 4
b
A
5 4 10 go to step 2
B
2 16
125 244
3 25
62 488 4 5
31 976 5 5 10 go to step 2
15 1952 2 25
3 36
7 3904
4 6
3 7808 5 6 10 go to step 2
1 15 616 2 36
Total 30 500 3 49
4 7
c 5 7 10 go to step 2
A B 2 49
3 64
256 123
4 8
128 246 5 8 10 go to step 2
64 492 2 64
32 984 3 81
16 4 9
1968
5 9 10 go to step 2
8 3936
2 81
4 7872 3 100
2 15 744 4 10
1 31 488 5 10 10 go to step 2
2 100
Total 31 488
3 121
4 11
a 9=
2 a 1= c 4=
a 9,=b 4,=c 4,=
d 3 5 1110 continue to step 6
b 4 d 3
6 Stop
e ad
2 = = 9×3 = 27
3 f = bc = 4 × 4 = 16 Output 1, 4, 9, 16, 25, 36, 49, 64, 81, 100
27
4 answer is
16 b The algorithm produces the squares of the
b It divides the first fraction by the second first 10 natural numbers.
fraction.

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4 a i

Step A r c |r −c| s Print r

1 253 12
2 21.083
3 9.083
4 16.542
5 16.542
6→2 15.294
3 1.248
4 15.918
5 15.918
6→2 15.894
3 0.024
4 15.906
5 15.906
6→2 15.906
3→7 0
7 r = 15.906
8 stop

ii
Step A r c |r −c| s Print r
1 79 10
2 7.900
3 2.1
4 8.950
5 8.95
6→2 8.827
3 0.123
4 8.889
5 8.889
6→2 8.887
3→7 0.002
7 Print 8.889

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4 a iii
Step A r c |r −c| s Print r
1 4275 50
2 85.500
3 35.5
4 67.750
5 67.75
6→2 63.100
3 4.65
4 65.425
5 65.425
6→2 65.342
3 0.083
4 65.384
5 65.384
6→2 65.383
3→7 0.001
7 Print 65.384

b Finds the square root of A correct to 1 decimal place.

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