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 / _` | '_ \| || |_   / _` | / __| |/ / | | '_ \ / _` |/ _ \ \/ /
| (_| | (_) |__   _| | (_| | \__ \   <  | | | | | (_| |  __/>  < 
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MATHS

FILE INFORMATION

FILENAME(S): MATHS

FILE TYPE(S): PRG

FILE SIZE: 16.9K

FIRST SEEN: 2025-11-30 16:45:33

APPEARS ON: 1 disk(s)

FILE HASH

40308dac4c46236be295ce00cd5764fc6747b982fa845d239cf4472334620a9e

FOUND ON DISKS (1 DISKS)

DISK TITLE FILENAME FILE TYPE COLLECTION TRACK SECTOR ACTIONS
GAMES MATHS PRG High Voltage Complete C64 Collection 11 0 DOWNLOAD FILE

FILE CONTENT & ANALYSIS

> DETECTED: COMMODORE BASIC PROGRAM (LOAD ADDRESS $0801)

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000017F0: 2E 39 04 31 34 2E 38 02  31 35 01 35 00 1F D7 52  |.9.14.8.15.5...R|
00001800: 49 54 45 20 54 48 45 20  4E 55 4D 42 45 52 20 31  |ITE THE NUMBER 1|
00001810: 35 2E 32 36 34 20 43 4F  52 52 45 43 54 1A 54 4F  |5.264 CORRECT.TO|
00001820: 20 54 57 4F 20 50 4C 41  43 45 53 20 4F 46 20 44  | TWO PLACES OF D|
00001830: 45 43 49 4D 41 4C 53 2E  00 02 31 35 05 31 35 2E  |ECIMALS...15.15.|
00001840: 32 36 05 31 35 2E 32 37  02 31 36 05 31 35 2E 32  |26.15.27.16.15.2|
00001850: 30 01 32 00 1E D7 52 49  54 45 20 54 48 45 20 4E  |0.2...RITE THE N|
00001860: 55 4D 42 45 52 20 30 2E  31 36 34 20 43 4F 52 52  |UMBER 0.164 CORR|
00001870: 45 43 54 1A 54 4F 20 4F  4E 45 20 53 49 47 4E 49  |ECT.TO ONE SIGNI|
00001880: 46 49 43 41 4E 54 20 46  49 47 55 52 45 2E 00 03  |FICANT FIGURE...|
00001890: 30 2E 31 04 30 2E 31 36  03 30 2E 32 03 30 2E 30  |0.1.0.16.0.2.0.0|
000018A0: 03 32 2E 30 01 33 00 1D  D7 52 49 54 45 20 54 48  |.2.0.3...RITE TH|
000018B0: 45 20 4E 55 4D 42 45 52  20 32 38 34 36 20 43 4F  |E NUMBER 2846 CO|
000018C0: 52 52 45 43 54 1D 54 4F  20 54 48 52 45 45 20 53  |RRECT.TO THREE S|
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000018E0: 45 53 2E 00 04 32 38 34  30 04 32 38 34 35 04 32  |ES...2840.2845.2|
000018F0: 38 35 30 04 32 39 30 30  04 32 38 34 37 01 33 00  |850.2900.2847.3.|
00001900: 21 C3 4F 52 52 45 43 54  20 54 4F 20 54 57 4F 20  |!.ORRECT TO TWO |
00001910: 50 4C 41 43 45 53 20 4F  46 20 44 45 43 49 4D 41  |PLACES OF DECIMA|
00001920: 4C 53 14 54 48 45 20 4E  55 4D 42 45 52 20 31 32  |LS.THE NUMBER 12|
00001930: 2E 38 34 37 20 49 53 00  04 31 32 2E 38 05 31 32  |.847 IS..12.8.12|
00001940: 2E 38 34 05 31 32 2E 38  35 02 31 33 02 31 32 01  |.84.12.85.13.12.|
00001950: 33 00 20 C3 4F 52 52 45  43 54 20 54 4F 20 4F 4E  |3. .ORRECT TO ON|
00001960: 45 20 50 4C 41 43 45 20  4F 46 20 44 45 43 49 4D  |E PLACE OF DECIM|
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00001980: 32 2E 38 34 37 20 49 53  00 04 31 32 2E 38 05 31  |2.847 IS..12.8.1|
00001990: 32 2E 38 35 04 31 32 2E  39 02 31 33 02 31 32 01  |2.85.12.9.13.12.|
000019A0: 31 1E C9 46 20 45 41 43  48 20 4E 55 4D 42 45 52  |1..F EACH NUMBER|
000019B0: 20 49 53 20 47 49 56 45  4E 20 54 4F 20 4F 4E 45  | IS GIVEN TO ONE|
000019C0: 20 53 49 47 4E 49 46 49  43 41 4E 54 20 46 49 47  | SIGNIFICANT FIG|
000019D0: 55 52 45 20 2D 20 57 48  41 54 20 49 53 20 54 48  |URE - WHAT IS TH|
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00001A00: 32 04 31 32 2E 35 02 31  33 04 31 31 2E 35 01 34  |2.12.5.13.11.5.4|
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00001A20: 49 53 20 47 49 56 45 4E  20 54 4F 20 4F 4E 45 20  |IS GIVEN TO ONE |
00001A30: 53 49 47 4E 49 46 49 43  41 4E 54 20 46 49 47 55  |SIGNIFICANT FIGU|
00001A40: 52 45 20 2D 20 57 48 41  54 20 49 53 20 54 48 45  |RE - WHAT IS THE|
00001A50: 22 53 4D 41 4C 4C 45 53  54 20 50 4F 53 53 49 42  |"SMALLEST POSSIB|
00001A60: 4C 45 20 56 41 4C 55 45  20 4F 46 20 37 20 2D 20  |LE VALUE OF 7 - |
00001A70: 35 20 3F 00 01 31 01 32  03 32 2E 35 01 33 03 31  |5 ?..1.2.2.5.3.1|
00001A80: 2E 35 01 31 22 C9 46 20  45 41 43 48 20 4E 55 4D  |.5.1".F EACH NUM|
00001A90: 42 45 52 20 49 53 20 47  49 56 45 4E 20 43 4F 52  |BER IS GIVEN COR|
00001AA0: 52 45 43 54 20 54 4F 1F  4F 4E 45 20 44 45 43 49  |RECT TO.ONE DECI|
00001AB0: 4D 41 4C 20 50 4C 41 43  45 20 2D 20 57 48 41 54  |MAL PLACE - WHAT|
00001AC0: 20 49 53 20 54 48 45 1D  4D 41 58 49 4D 55 4D 20  | IS THE.MAXIMUM |
00001AD0: 56 41 4C 55 45 20 4F 46  20 31 30 2E 33 20 2D 20  |VALUE OF 10.3 - |
00001AE0: 36 2E 31 20 3F 00 03 34  2E 31 03 34 2E 32 03 34  |6.1 ?..4.1.4.2.4|
00001AF0: 2E 33 03 34 2E 34 03 34  2E 35 01 33 00 1A 31 2F  |.3.4.4.4.5.3..1/|
00001B00: 31 30 20 2B 20 32 2F 31  30 30 20 2B 20 33 2F 31  |10 + 2/100 + 3/1|
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00001B20: 05 30 2E 32 31 33 04 30  2E 32 34 04 30 2E 34 32  |.0.213.0.24.0.42|
00001B30: 03 30 2E 36 01 34 00 13  33 2F 31 30 20 2D 20 38  |.0.6.4..3/10 - 8|
00001B40: 2F 31 30 30 20 45 51 55  41 4C 53 00 00 04 30 2E  |/100 EQUALS...0.|
00001B50: 32 32 03 30 2E 35 04 30  2E 37 37 04 30 2E 38 33  |22.0.5.0.77.0.83|
00001B60: 04 2D 30 2E 35 01 31 00  0F 30 2E 31 32 20 5E 20  |.-0.5.1..0.12 ^ |
00001B70: 32 20 45 51 55 41 4C 53  00 00 06 30 2E 30 31 34  |2 EQUALS...0.014|
00001B80: 34 05 30 2E 31 34 34 04  30 2E 32 34 04 31 2E 34  |4.0.144.0.24.1.4|
00001B90: 34 07 30 2E 30 30 31 34  34 01 31 00 14 31 36 39  |4.0.00144.1..169|
00001BA0: 30 30 20 5E 20 28 31 2F  32 29 20 45 51 55 41 4C  |00 ^ (1/2) EQUAL|
00001BB0: 53 00 00 04 34 31 2E 31  03 31 33 30 03 34 31 31  |S...41.1.130.411|
00001BC0: 04 31 33 30 30 04 33 31  2E 33 01 32 00 13 30 2E  |.1300.31.3.2..0.|
00001BD0: 30 34 20 5E 20 28 31 2F  32 29 20 45 51 55 41 4C  |04 ^ (1/2) EQUAL|
00001BE0: 53 00 00 05 30 2E 30 30  32 04 30 2E 30 32 03 30  |S...0.002.0.02.0|
00001BF0: 2E 32 03 31 2E 36 04 30  2E 31 36 01 33 00 0C 34  |.2.1.6.0.16.3..4|
00001C00: 20 5E 20 33 20 45 51 55  41 4C 53 00 00 02 31 32  | ^ 3 EQUALS...12|
00001C10: 02 31 36 02 36 34 02 38  31 03 31 32 38 01 33 00  |.16.64.81.128.3.|
00001C20: 18 28 32 20 5E 20 33 29  20 2A 20 28 33 20 5E 20  |.(2 ^ 3) * (3 ^ |
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00001C40: 36 02 37 32 04 37 37 37  36 03 31 32 37 01 33 00  |6.72.7776.127.3.|
00001C50: 12 28 33 20 5E 20 32 29  20 5E 20 33 20 45 51 55  |.(3 ^ 2) ^ 3 EQU|
00001C60: 41 4C 53 00 00 02 31 38  03 32 34 33 03 37 32 39  |ALS...18.243.729|
00001C70: 04 36 35 36 31 02 38 31  01 33 00 16 28 34 20 5E  |.6561.81.3..(4 ^|
00001C80: 20 32 29 20 5E 20 28 31  2F 32 29 20 45 51 55 41  | 2) ^ (1/2) EQUA|
00001C90: 4C 53 00 00 01 34 01 38  02 31 30 02 33 32 02 36  |LS...4.8.10.32.6|
00001CA0: 34 01 31 00 20 28 32 20  5E 20 28 35 2F 32 29 29  |4.1. (2 ^ (5/2))|
00001CB0: 20 2A 20 28 32 20 5E 20  28 33 2F 32 29 29 20 45  | * (2 ^ (3/2)) E|
00001CC0: 51 55 41 4C 53 00 00 03  30 2E 35 01 32 01 38 02  |QUALS...0.5.2.8.|
00001CD0: 31 36 0A 32 20 5E 20 28  31 35 2F 34 29 01 34 00  |16.2 ^ (15/4).4.|
00001CE0: 19 28 35 20 5E 20 33 29  20 2A 20 28 35 20 5E 20  |.(5 ^ 3) * (5 ^ |
00001CF0: 2D 31 29 20 45 51 55 41  4C 53 00 00 04 2D 36 32  |-1) EQUALS...-62|
00001D00: 35 03 2D 32 35 02 32 35  03 36 32 35 03 35 32 35  |5.-25.25.625.525|
00001D10: 01 33 00 18 28 38 20 5E  20 30 29 20 2A 20 28 35  |.3..(8 ^ 0) * (5|
00001D20: 20 5E 20 30 29 20 45 51  55 41 4C 53 00 00 01 30  | ^ 0) EQUALS...0|
00001D30: 01 31 02 34 30 03 34 30  30 04 34 30 30 30 01 32  |.1.40.400.4000.2|
00001D40: 00 22 D7 48 49 43 48 20  4F 46 20 54 48 45 20 46  |.".HICH OF THE F|
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00001D70: 55 41 52 45 20 52 4F 4F  54 3F 20 28 49 29 20 36  |UARE ROOT? (I) 6|
00001D80: 32 35 24 28 49 49 29 20  32 2E 32 35 20 20 2D 20  |25$(II) 2.25  - |
00001D90: 20 28 49 49 49 29 20 33  2E 35 20 20 2D 20 20 28  | (III) 3.5  -  (|
00001DA0: 49 56 29 20 32 35 30 0B  28 49 29 20 26 20 28 49  |IV) 250.(I) & (I|
00001DB0: 49 49 29 0C 28 49 49 29  20 26 20 28 49 49 49 29  |II).(II) & (III)|
00001DC0: 0A 28 49 29 20 26 20 28  49 56 29 0C 28 49 49 49  |.(I) & (IV).(III|
00001DD0: 29 20 26 20 28 49 56 29  0A 28 49 29 20 26 20 28  |) & (IV).(I) & (|
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00001DF0: 30 20 49 53 00 00 02 33  33 02 34 35 03 31 35 33  |0 IS...33.45.153|
00001E00: 03 33 31 35 02 33 30 01  32 00 17 33 30 25 20 4F  |.315.30.2..30% O|
00001E10: 46 20 41 20 4E 55 4D 42  45 52 20 49 53 20 32 37  |F A NUMBER IS 27|
00001E20: 39 2E 0D D4 48 45 20 4E  55 4D 42 45 52 20 49 53  |9...HE NUMBER IS|
00001E30: 00 04 38 33 2E 37 02 39  33 03 39 33 30 04 31 32  |..83.7.93.930.12|
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00001FA0: 20 C8 4F 57 20 4D 55 43  48 20 44 49 44 20 48 45  | .OW MUCH DID HE|
00001FB0: 20 50 41 59 20 46 4F 52  20 54 48 45 20 43 41 52  | PAY FOR THE CAR|
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00001FD0: 5C 33 39 32 04 5C 34 38  30 07 5C 33 37 32 3A 36  |\392.\480.\372:6|
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000024C0: 33 03 31 2F 36 01 35 20  C9 4E 20 41 20 43 4F 4D  |3.1/6.5 .N A COM|
000024D0: 50 45 54 49 54 49 4F 4E  20 D4 4F 4D 20 57 49 4E  |PETITION .OM WIN|
000024E0: 53 20 5C 35 20 41 4E 44  24 C8 41 52 52 59 20 57  |S \5 AND$.ARRY W|
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00002530: 3F 00 03 31 3A 33 03 31  3A 32 03 32 3A 31 03 33  |?..1:3.1:2.2:1.3|
00002540: 3A 31 03 32 3A 32 01 32  00 1D D7 48 41 54 20 49  |:1.2:2.2...HAT I|
00002550: 53 20 54 48 45 20 52 45  43 49 50 52 4F 43 41 4C  |S THE RECIPROCAL|
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00002570: 2E 30 35 0D 32 20 2A 20  35 20 5E 20 28 31 2F 32  |.05.2 * 5 ^ (1/2|
00002580: 29 03 34 30 30 01 32 01  32 00 1F D7 48 41 54 20  |).400.2.2...HAT |
00002590: 49 53 20 54 48 45 20 52  45 43 49 50 52 4F 43 41  |IS THE RECIPROCA|
000025A0: 4C 20 4F 46 20 30 2E 30  32 3F 00 00 06 30 2E 30  |L OF 0.02?...0.0|
000025B0: 30 30 34 04 30 2E 30 34  02 32 30 02 35 30 01 32  |004.0.04.20.50.2|
000025C0: 01 34 00 1A 28 35 31 20  5E 20 32 29 20 2D 20 28  |.4..(51 ^ 2) - (|
000025D0: 34 39 20 5E 20 32 29 20  45 51 55 41 4C 53 00 00  |49 ^ 2) EQUALS..|
000025E0: 01 34 03 32 30 30 03 32  30 32 03 32 35 30 04 32  |.4.200.202.250.2|
000025F0: 35 35 32 01 32 00 15 32  41 20 2B 20 42 20 2D 20  |552.2..2A + B - |
00002600: 41 20 2B 20 42 20 45 51  55 41 4C 53 00 00 06 41  |A + B EQUALS...A|
00002610: 20 2B 20 32 42 01 41 06  33 41 20 2B 20 42 06 41  | + 2B.A.3A + B.A|
00002620: 20 2D 20 32 42 07 32 41  20 2D 20 32 42 01 31 00  | - 2B.2A - 2B.1.|
00002630: 16 58 20 2D 20 32 59 20  2D 20 33 58 20 2D 20 59  |.X - 2Y - 3X - Y|
00002640: 20 45 51 55 41 4C 53 00  00 07 34 58 20 2D 20 33  | EQUALS...4X - 3|
00002650: 59 08 2D 20 32 58 20 2D  20 59 07 32 58 20 2D 20  |Y.- 2X - Y.2X - |
00002660: 33 59 08 2D 32 58 20 2D  20 33 59 07 33 58 20 2D  |3Y.-2X - 3Y.3X -|
00002670: 20 32 59 01 34 00 1A 28  33 58 20 2B 20 59 29 20  | 2Y.4..(3X + Y) |
00002680: 2D 20 28 32 58 20 2B 20  59 29 20 45 51 55 41 4C  |- (2X + Y) EQUAL|
00002690: 53 00 00 06 58 20 2B 20  32 59 02 35 58 01 58 06  |S...X + 2Y.5X.X.|
000026A0: 58 20 2D 20 32 59 07 32  58 20 2D 20 32 59 01 33  |X - 2Y.2X - 2Y.3|
000026B0: 00 1A 28 41 20 2B 20 32  42 29 20 2D 20 28 41 20  |..(A + 2B) - (A |
000026C0: 2D 20 32 42 29 20 45 51  55 41 4C 53 00 00 07 32  |- 2B) EQUALS...2|
000026D0: 41 20 2D 20 34 42 01 30  02 34 42 03 2D 34 42 08  |A - 4B.0.4B.-4B.|
000026E0: 2D 32 41 20 2B 20 34 42  01 33 00 22 28 33 58 20  |-2A + 4B.3."(3X |
000026F0: 2B 20 59 29 20 2D 20 28  58 20 2D 20 32 59 29 20  |+ Y) - (X - 2Y) |
00002700: 2B 20 28 59 2D 58 29 20  45 51 55 41 4C 53 00 00  |+ (Y-X) EQUALS..|
00002710: 01 58 02 32 58 06 58 20  2B 20 32 59 06 58 20 2B  |.X.2X.X + 2Y.X +|
00002720: 20 34 59 07 32 58 20 2B  20 32 59 01 34 00 1C 33  | 4Y.2X + 2Y.4..3|
00002730: 28 32 41 20 2D 20 42 29  20 2D 20 32 28 33 41 20  |(2A - B) - 2(3A |
00002740: 2B 20 42 29 20 45 51 55  41 4C 53 00 00 03 2D 35  |+ B) EQUALS...-5|
00002750: 42 02 2D 42 08 31 32 41  20 2D 20 35 42 03 2D 32  |B.-B.12A - 5B.-2|
00002760: 42 01 42 01 31 00 1E 58  28 58 20 2B 20 33 29 20  |B.B.1..X(X + 3) |
00002770: 2D 20 58 28 58 20 2D 20  32 29 20 2D 20 32 20 45  |- X(X - 2) - 2 E|
00002780: 51 55 41 4C 53 00 00 05  58 20 2D 20 32 06 35 58  |QUALS...X - 2.5X|
00002790: 20 2D 20 32 02 33 58 0C  32 58 5E 32 20 2B 20 35  | - 2.3X.2X^2 + 5|
000027A0: 58 20 2D 32 03 58 5E 32  01 32 00 19 28 58 20 2B  |X -2.X^2.2..(X +|
000027B0: 20 31 29 20 2A 20 28 20  58 20 2B 20 35 29 20 45  | 1) * ( X + 5) E|
000027C0: 51 55 41 4C 53 00 00 0C  58 5E 32 20 2B 20 35 58  |QUALS...X^2 + 5X|
000027D0: 20 2B 20 36 0C 58 5E 32  20 2B 20 36 58 20 2B 20  | + 6.X^2 + 6X + |
000027E0: 35 0C 58 5E 32 20 2B 20  34 58 20 2B 20 35 0C 58  |5.X^2 + 4X + 5.X|
000027F0: 5E 32 20 2B 20 36 58 20  2B 20 36 0C 58 5E 32 20  |^2 + 6X + 6.X^2 |
00002800: 2B 20 35 58 20 2B 20 34  01 32 00 18 28 58 20 2D  |+ 5X + 4.2..(X -|
00002810: 20 31 29 20 2A 20 28 58  20 2B 20 33 29 20 45 51  | 1) * (X + 3) EQ|
00002820: 55 41 4C 53 00 00 0C 58  5E 32 20 2D 20 32 58 20  |UALS...X^2 - 2X |
00002830: 2B 20 33 0B 58 5E 32 20  2B 32 58 20 2D 20 33 0C  |+ 3.X^2 +2X - 3.|
00002840: 58 5E 32 20 2D 20 32 58  20 2D 20 33 0C 58 5E 32  |X^2 - 2X - 3.X^2|
00002850: 20 2B 20 34 58 20 2D 20  33 0C 58 5E 32 20 2D 20  | + 4X - 3.X^2 - |
00002860: 34 58 20 2B 20 33 01 32  00 18 28 59 20 2D 20 34  |4X + 3.2..(Y - 4|
00002870: 29 20 2A 20 28 59 20 2D  20 33 29 20 45 51 55 41  |) * (Y - 3) EQUA|
00002880: 4C 53 00 00 0C 59 5E 32  20 2D 20 37 59 20 2B 20  |LS...Y^2 - 7Y + |
00002890: 37 0C 59 5E 32 20 2B 20  37 59 20 2D 20 37 0D 59  |7.Y^2 + 7Y - 7.Y|
000028A0: 5E 32 20 2D 20 37 59 20  2B 20 31 32 0C 59 5E 32  |^2 - 7Y + 12.Y^2|
000028B0: 20 2D 20 59 20 2B 20 31  32 08 59 5E 32 20 2B 20  | - Y + 12.Y^2 + |
000028C0: 31 32 01 33 00 1B 28 32  58 20 2B 20 33 29 20 2A  |12.3..(2X + 3) *|
000028D0: 20 28 20 33 58 20 2D 20  32 29 20 45 51 55 41 4C  | ( 3X - 2) EQUAL|
000028E0: 53 00 00 0E 36 58 5E 32  20 2B 20 31 33 58 20 2D  |S...6X^2 + 13X -|
000028F0: 20 36 0D 36 58 5E 32 20  2D 20 35 58 20 2D 20 36  | 6.6X^2 - 5X - 6|
00002900: 0D 36 58 5E 32 20 2D 20  35 58 20 2B 20 36 0D 36  |.6X^2 - 5X + 6.6|
00002910: 58 5E 32 20 2B 20 35 58  20 2D 20 36 0C 36 58 5E  |X^2 + 5X - 6.6X^|
00002920: 20 2B 20 36 58 20 2D 20  35 01 34 00 1B 28 32 58  | + 6X - 5.4..(2X|
00002930: 20 2D 20 35 59 29 20 2A  20 28 58 20 2B 20 32 59  | - 5Y) * (X + 2Y|
00002940: 29 20 45 51 55 41 4C 53  00 00 11 32 58 5E 32 20  |) EQUALS...2X^2 |
00002950: 2D 20 58 59 20 2D 20 31  30 59 5E 32 12 32 58 5E  |- XY - 10Y^2.2X^|
00002960: 32 20 2D 20 35 58 59 20  2D 20 31 30 59 5E 32 11  |2 - 5XY - 10Y^2.|
00002970: 32 58 5E 32 20 2B 20 58  59 20 2D 20 31 30 59 5E  |2X^2 + XY - 10Y^|
00002980: 32 12 32 58 5E 32 20 2B  20 34 58 59 20 2D 20 31  |2.2X^2 + 4XY - 1|
00002990: 30 59 5E 32 12 32 58 5E  32 20 2B 20 36 58 59 20  |0Y^2.2X^2 + 6XY |
000029A0: 2B 20 31 30 59 5E 32 01  31 00 12 28 33 58 20 2D  |+ 10Y^2.1..(3X -|
000029B0: 20 34 59 29 5E 32 20 45  51 55 41 4C 53 00 00 13  | 4Y)^2 EQUALS...|
000029C0: 39 58 5E 32 20 2D 20 31  32 58 59 20 2B 20 31 36  |9X^2 - 12XY + 16|
000029D0: 59 5E 32 0C 39 58 5E 32  20 2D 20 31 36 59 5E 32  |Y^2.9X^2 - 16Y^2|
000029E0: 0C 39 58 5E 32 20 2B 20  31 36 59 5E 32 13 39 58  |.9X^2 + 16Y^2.9X|
000029F0: 5E 32 20 2D 20 32 34 58  59 20 2B 20 31 36 59 5E  |^2 - 24XY + 16Y^|
00002A00: 32 13 31 36 58 5E 32 20  2B 20 32 34 58 59 20 2D  |2.16X^2 + 24XY -|
00002A10: 20 39 59 5E 32 01 34 00  1E 32 28 58 20 2D 20 59  | 9Y^2.4..2(X - Y|
00002A20: 29 5E 32 20 2B 20 33 28  58 20 2B 20 59 29 5E 32  |)^2 + 3(X + Y)^2|
00002A30: 20 45 51 55 41 4C 53 00  00 0B 35 58 5E 32 20 2B  | EQUALS...5X^2 +|
00002A40: 20 35 59 5E 32 10 35 58  5E 32 20 2B 20 58 59 20  | 5Y^2.5X^2 + XY |
00002A50: 2B 20 35 59 5E 32 11 35  58 5E 32 20 2B 20 32 58  |+ 5Y^2.5X^2 + 2X|
00002A60: 59 20 2B 20 35 59 5E 32  14 31 33 58 5E 32 20 2B  |Y + 5Y^2.13X^2 +|
00002A70: 20 31 30 58 59 20 2B 20  31 33 59 5E 32 14 31 30  | 10XY + 13Y^2.10|
00002A80: 58 5E 32 20 2B 20 31 33  58 59 20 2B 20 31 30 59  |X^2 + 13XY + 10Y|
00002A90: 5E 32 01 33 00 1C 28 33  58 20 2B 20 32 59 29 20  |^2.3..(3X + 2Y) |
00002AA0: 2A 20 28 33 58 20 2D 20  32 59 29 20 45 51 55 41  |* (3X - 2Y) EQUA|
00002AB0: 4C 53 00 00 11 39 58 5E  32 20 2B 20 36 58 59 20  |LS...9X^2 + 6XY |
00002AC0: 2D 20 34 59 5E 32 0B 39  58 5E 32 20 2D 20 34 59  |- 4Y^2.9X^2 - 4Y|
00002AD0: 5E 32 11 39 58 5E 32 20  2D 20 36 58 59 20 2D 20  |^2.9X^2 - 6XY - |
00002AE0: 34 59 5E 32 0B 39 58 5E  32 20 2B 20 34 59 5E 32  |4Y^2.9X^2 + 4Y^2|
00002AF0: 11 36 58 5E 32 20 2B 20  34 58 59 20 2B 20 39 59  |.6X^2 + 4XY + 9Y|
00002B00: 5E 32 01 32 00 12 34 41  5E 32 20 2A 20 33 41 5E  |^2.2..4A^2 * 3A^|
00002B10: 33 20 45 51 55 41 4C 53  00 00 04 37 41 5E 35 05  |3 EQUALS...7A^5.|
00002B20: 31 32 41 5E 35 05 31 32  41 5E 36 05 37 32 41 5E  |12A^5.12A^6.72A^|
00002B30: 36 05 33 36 41 5E 34 01  32 00 17 32 41 42 20 2A  |6.36A^4.2..2AB *|
00002B40: 20 33 41 43 20 2A 20 34  41 42 43 20 45 51 55 41  | 3AC * 4ABC EQUA|
00002B50: 4C 53 00 00 10 39 41 5E  32 20 2A 20 42 5E 32 20  |LS...9A^2 * B^2 |
00002B60: 2A 20 43 5E 32 11 31 32  41 5E 33 20 2A 20 42 5E  |* C^2.12A^3 * B^|
00002B70: 32 20 2A 20 43 5E 32 11  32 34 41 5E 33 20 2A 20  |2 * C^2.24A^3 * |
00002B80: 42 5E 32 20 2A 20 43 5E  32 11 32 34 41 5E 32 20  |B^2 * C^2.24A^2 |
00002B90: 2A 20 42 5E 32 20 2A 20  43 5E 32 11 31 38 41 5E  |* B^2 * C^2.18A^|
00002BA0: 33 20 2A 20 42 5E 32 20  2A 20 43 5E 32 01 33 00  |3 * B^2 * C^2.3.|
00002BB0: 16 28 33 41 29 5E 32 20  2A 20 28 34 41 29 5E 33  |.(3A)^2 * (4A)^3|
00002BC0: 20 45 51 55 41 4C 53 00  00 05 31 32 41 5E 35 05  | EQUALS...12A^5.|
00002BD0: 31 32 41 5E 36 06 35 37  36 41 5E 35 06 35 37 36  |12A^6.576A^5.576|
00002BE0: 41 5E 36 06 35 37 36 41  5E 34 01 34 00 12 36 41  |A^6.576A^4.4..6A|
00002BF0: 5E 34 20 2F 20 32 41 5E  33 20 45 51 55 41 4C 53  |^4 / 2A^3 EQUALS|
00002C00: 00 00 02 33 41 04 33 41  2F 34 03 33 2F 41 02 34  |...3A.3A/4.3/A.4|
00002C10: 41 04 33 41 2F 32 01 31  00 0F 28 34 41 5E 32 29  |A.3A/2.1..(4A^2)|
00002C20: 5E 33 20 45 51 55 41 4C  53 00 00 04 34 41 5E 35  |^3 EQUALS...4A^5|
00002C30: 04 34 41 5E 36 05 36 34  41 5E 35 05 36 34 41 5E  |.4A^6.64A^5.64A^|
00002C40: 36 05 36 34 41 5E 39 01  34 00 16 C1 4E 20 49 4E  |6.64A^9.4...N IN|
00002C50: 54 45 52 49 4F 52 20 41  4E 47 4C 45 20 4F 46 20  |TERIOR ANGLE OF |
00002C60: 41 13 52 45 47 55 4C 41  52 20 50 45 4E 54 41 47  |A.REGULAR PENTAG|
00002C70: 4F 4E 20 49 53 00 0A 37  32 20 44 45 47 52 45 45  |ON IS..72 DEGREE|
00002C80: 53 0B 31 30 38 20 44 45  47 52 45 45 53 0B 31 31  |S.108 DEGREES.11|
00002C90: 38 20 44 45 47 52 45 45  53 0B 35 34 30 20 44 45  |8 DEGREES.540 DE|
00002CA0: 47 52 45 45 53 0A 36 30  20 47 45 47 52 45 45 53  |GREES.60 GEGREES|
00002CB0: 01 32 00 17 D4 48 45 20  53 55 4D 20 4F 46 20 54  |.2...HE SUM OF T|
00002CC0: 48 45 20 49 4E 54 45 52  49 4F 52 17 41 4E 47 4C  |HE INTERIOR.ANGL|
00002CD0: 45 53 20 4F 46 20 41 20  48 45 58 41 47 4F 4E 20  |ES OF A HEXAGON |
00002CE0: 41 52 45 00 0E 35 20 52  49 47 48 54 20 41 4E 47  |ARE..5 RIGHT ANG|
00002CF0: 4C 45 53 0E 36 20 52 49  47 48 54 20 41 4E 47 4C  |LES.6 RIGHT ANGL|
00002D00: 45 53 0E 38 20 52 49 47  48 54 20 41 4E 47 4C 45  |ES.8 RIGHT ANGLE|
00002D10: 53 0F 31 32 20 52 49 47  48 54 20 41 4E 47 4C 45  |S.12 RIGHT ANGLE|
00002D20: 53 0F 31 30 20 52 49 47  48 54 20 41 4E 47 4C 45  |S.10 RIGHT ANGLE|
00002D30: 53 01 33 20 D4 48 45 20  49 4E 54 45 52 49 4F 52  |S.3 .HE INTERIOR|
00002D40: 20 41 4E 47 4C 45 53 20  4F 46 20 41 20 52 45 47  | ANGLES OF A REG|
00002D50: 55 4C 41 52 1C 46 49 47  55 52 45 20 41 52 45 20  |ULAR.FIGURE ARE |
00002D60: 31 33 35 20 44 45 47 52  45 45 53 20 45 41 43 48  |135 DEGREES EACH|
00002D70: 2E 0D D4 48 45 20 46 49  47 55 52 45 20 49 53 00  |...HE FIGURE IS.|
00002D80: 10 41 20 50 41 52 41 4C  4C 45 4C 4F 47 52 41 4D  |.A PARALLELOGRAM|
00002D90: 2E 0A 41 20 48 45 58 41  47 4F 4E 2E 0B 41 4E 20  |..A HEXAGON..AN |
00002DA0: 4F 43 54 41 47 4F 4E 2E  0A 41 20 44 45 43 41 47  |OCTAGON..A DECAG|
00002DB0: 4F 4E 2E 0B 41 20 50 45  4E 54 41 47 4F 4E 2E 01  |ON..A PENTAGON..|
00002DC0: 33 1D C1 C2 C3 C4 20 49  53 20 41 20 52 48 4F 4D  |3..... IS A RHOM|
00002DD0: 42 55 53 2E 20 C1 C2 20  3D 20 36 20 43 4D 2E 13  |BUS. .. = 6 CM..|
00002DE0: C1 4E 47 4C 45 20 C1 C2  C3 20 3D 20 36 30 20 44  |.NGLE ... = 60 D|
00002DF0: 45 47 2E 1A C3 41 4C 43  55 4C 41 54 45 20 54 48  |EG...ALCULATE TH|
00002E00: 45 20 4C 45 4E 47 54 48  20 4F 46 20 C1 C3 00 04  |E LENGTH OF ....|
00002E10: 36 20 43 4D 0E 36 20 2A  20 32 5E 28 31 2F 32 29  |6 CM.6 * 2^(1/2)|
00002E20: 20 43 4D 0E 36 20 2A 20  33 5E 28 31 2F 32 29 20  | CM.6 * 3^(1/2) |
00002E30: 43 4D 05 31 32 20 43 4D  04 39 20 43 4D 01 31 23  |CM.12 CM.9 CM.1#|
00002E40: C1 20 52 48 4F 4D 42 55  53 20 48 41 53 20 53 49  |. RHOMBUS HAS SI|
00002E50: 44 45 53 20 4F 46 20 4C  45 4E 47 54 48 20 31 33  |DES OF LENGTH 13|
00002E60: 20 43 4D 22 41 4E 44 20  54 48 45 20 53 48 4F 52  | CM"AND THE SHOR|
00002E70: 54 45 52 20 44 49 41 47  4F 4E 41 4C 20 49 53 20  |TER DIAGONAL IS |
00002E80: 31 30 20 43 4D 2E 1E C3  41 4C 43 55 4C 41 54 45  |10 CM...ALCULATE|
00002E90: 20 54 48 45 20 4C 4F 4E  47 45 52 20 44 49 41 47  | THE LONGER DIAG|
00002EA0: 4F 4E 41 4C 2E 00 05 31  30 20 43 4D 05 31 32 20  |ONAL...10 CM.12 |
00002EB0: 43 4D 05 31 33 20 43 4D  05 32 34 20 43 4D 05 31  |CM.13 CM.24 CM.1|
00002EC0: 38 20 43 4D 01 34 00 21  C9 4E 20 54 52 49 41 4E  |8 CM.4.!.N TRIAN|
00002ED0: 47 4C 45 20 C1 C2 C3 20  41 4E 47 4C 45 20 42 20  |GLE ... ANGLE B |
00002EE0: 3D 20 39 30 20 44 45 47  2E 27 C1 C2 20 3D 20 38  |= 90 DEG.'.. = 8|
00002EF0: 20 43 4D 20 41 4E 44 20  C2 C3 20 3D 20 31 30 20  | CM AND .. = 10 |
00002F00: 43 4D 2E 20 C3 41 4C 43  55 4C 41 54 45 20 C1 C3  |CM. .ALCULATE ..|
00002F10: 2E 00 0B 33 20 2A 20 32  5E 28 31 2F 32 29 04 36  |...3 * 2^(1/2).6|
00002F20: 20 43 4D 0E 32 20 2A 20  34 31 5E 28 31 2F 32 29  | CM.2 * 41^(1/2)|
00002F30: 43 4D 0E 36 20 2A 20 35  5E 28 31 2F 32 29 20 43  |CM.6 * 5^(1/2) C|
00002F40: 4D 05 31 32 20 43 4D 01  33 23 C1 C2 C3 20 49 53  |M.12 CM.3#... IS|
00002F50: 20 41 20 54 52 49 41 4E  47 4C 45 20 49 4E 20 57  | A TRIANGLE IN W|
00002F60: 48 49 43 48 20 C1 C2 20  3D 20 36 43 4D 21 C2 C3  |HICH .. = 6CM!..|
00002F70: 20 3D 20 37 20 43 4D 20  41 4E 44 20 C3 C1 20 3D  | = 7 CM AND .. =|
00002F80: 20 38 20 43 4D 2E 20 C4  20 49 53 20 54 48 45 1D  | 8 CM. . IS THE.|
00002F90: 4D 49 44 50 4F 49 4E 54  20 4F 46 20 C1 C3 2E 20  |MIDPOINT OF ... |
00002FA0: C3 41 4C 43 55 4C 41 54  45 20 C2 C4 2E 00 0B 32  |.ALCULATE .....2|
00002FB0: 31 5E 28 31 2F 32 29 20  43 4D 04 35 20 43 4D 0B  |1^(1/2) CM.5 CM.|
00002FC0: 32 36 5E 28 31 2F 32 29  20 43 4D 0F 28 35 33 2F  |26^(1/2) CM.(53/|
00002FD0: 32 29 5E 28 31 2F 32 29  20 43 4D 05 31 33 20 43  |2)^(1/2) CM.13 C|
00002FE0: 4D 01 34 1E D4 48 45 20  4E 55 4D 42 45 52 20 4F  |M.4..HE NUMBER O|
00002FF0: 46 20 43 49 52 43 4C 45  53 20 54 48 41 54 20 43  |F CIRCLES THAT C|
00003000: 41 4E 25 42 45 20 44 52  41 57 4E 20 54 48 52 4F  |AN%BE DRAWN THRO|
00003010: 55 47 48 20 41 4E 59 20  54 48 52 45 45 20 50 4F  |UGH ANY THREE PO|
00003020: 49 4E 54 53 20 4E 4F 54  15 49 4E 20 41 20 53 54  |INTS NOT.IN A ST|
00003030: 52 41 49 47 48 54 20 4C  49 4E 45 20 49 53 00 05  |RAIGHT LINE IS..|
00003040: CE 4F 4E 45 2E 04 CF 4E  45 2E 04 D4 57 4F 2E 09  |.ONE...NE...WO..|
00003050: C9 4E 46 49 4E 49 54 45  2E 05 C6 4F 55 52 2E 01  |.NFINITE...OUR..|
00003060: 32 1F D4 48 45 20 4E 55  4D 42 45 52 20 4F 46 20  |2..HE NUMBER OF |
00003070: 54 41 4E 47 45 4E 54 53  20 54 48 41 54 20 43 41  |TANGENTS THAT CA|
00003080: 4E 24 42 45 20 44 52 41  57 4E 20 54 4F 20 41 20  |N$BE DRAWN TO A |
00003090: 43 49 52 43 4C 45 20 46  52 4F 4D 20 41 20 50 4F  |CIRCLE FROM A PO|
000030A0: 49 4E 54 20 49 4E 24 54  48 45 20 53 41 4D 45 20  |INT IN$THE SAME |
000030B0: 50 4C 41 4E 45 20 4F 55  54 53 49 44 45 20 54 48  |PLANE OUTSIDE TH|
000030C0: 45 20 43 49 52 43 4C 45  20 49 53 00 05 CE 4F 4E  |E CIRCLE IS...ON|
000030D0: 45 2E 04 CF 4E 45 2E 04  D4 57 4F 2E 09 C9 4E 46  |E...NE...WO...NF|
000030E0: 49 4E 49 54 45 2E 05 C6  4F 55 52 2E 01 33 22 C1  |INITE...OUR..3".|
000030F0: 20 2D 20 C2 20 2D 20 C3  20 41 4E 44 20 C4 20 41  | - . - . AND . A|
00003100: 52 45 20 46 4F 55 52 20  43 4F 4E 43 59 43 4C 49  |RE FOUR CONCYCLI|
00003110: 43 1F 50 4F 49 4E 54 53  2E 20 C9 46 20 41 4E 47  |C.POINTS. .F ANG|
00003120: 4C 45 20 C4 C1 C3 20 49  53 20 35 35 20 44 45 47  |LE ... IS 55 DEG|
00003130: 2E 14 C3 41 4C 43 55 4C  41 54 45 20 41 4E 47 4C  |...ALCULATE ANGL|
00003140: 45 20 C4 C2 C3 2E 00 06  33 35 20 44 45 47 06 35  |E ......35 DEG.5|
00003150: 35 20 44 45 47 07 31 31  30 20 44 45 47 07 31 32  |5 DEG.110 DEG.12|
00003160: 35 20 44 45 47 07 31 33  35 20 44 45 47 01 32 1B  |5 DEG.135 DEG.2.|
00003170: C1 20 2D 20 C2 20 2D 20  C3 20 41 4E 44 20 C4 20  |. - . - . AND . |
00003180: 4C 49 45 53 20 4F 4E 20  54 48 45 26 43 49 52 43  |LIES ON THE&CIRC|
00003190: 55 4D 46 45 52 45 4E 43  45 20 4F 46 20 41 20 43  |UMFERENCE OF A C|
000031A0: 49 52 43 4C 45 20 4F 46  20 43 45 4E 54 52 45 20  |IRCLE OF CENTRE |
000031B0: C5 2E 1E C9 46 20 41 4E  47 4C 45 20 C4 C2 C3 20  |....F ANGLE ... |
000031C0: 45 51 55 41 4C 53 20 35  30 20 44 45 47 52 45 45  |EQUALS 50 DEGREE|
000031D0: 53 0F 46 49 4E 44 20 41  4E 47 4C 45 20 C4 C5 C3  |S.FIND ANGLE ...|
000031E0: 2E 07 34 30 20 44 45 47  2E 07 35 30 20 44 45 47  |..40 DEG..50 DEG|
000031F0: 2E 08 31 30 30 20 44 45  47 2E 08 31 34 30 20 44  |..100 DEG..140 D|
00003200: 45 47 2E 08 31 36 30 20  44 45 47 2E 01 33 18 D4  |EG..160 DEG..3..|
00003210: 48 45 20 41 4E 47 4C 45  20 53 55 42 54 45 4E 44  |HE ANGLE SUBTEND|
00003220: 45 44 20 42 59 20 41 19  44 49 41 4D 45 54 45 52  |ED BY A.DIAMETER|
00003230: 20 4F 46 20 41 20 43 49  52 43 4C 45 20 41 54 20  | OF A CIRCLE AT |
00003240: 41 1D 50 4F 49 4E 54 20  4F 4E 20 54 48 45 20 43  |A.POINT ON THE C|
00003250: 49 52 43 55 4D 46 45 52  45 4E 43 45 20 49 53 00  |IRCUMFERENCE IS.|
00003260: 06 41 43 55 54 45 2E 0E  41 20 52 49 47 48 54 20  |.ACUTE..A RIGHT |
00003270: 41 4E 47 4C 45 2E 07 4F  42 54 55 53 45 2E 07 52  |ANGLE..OBTUSE..R|
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000037A0: 20 44 45 47 20 C5 2E 0A  31 39 30 20 44 45 47 20  | DEG ...190 DEG |
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00003AF0: 20 44 45 47 2E 0B D4 41  4E 20 36 30 20 44 45 47  | DEG...AN 60 DEG|
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00003D00: 01 31 07 33 5E 28 31 2F  32 29 04 2D 33 2F 34 01  |.1.3^(1/2).-3/4.|
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00003D30: 2F 33 2E 31 34 01 31 00  00 15 32 20 2A 20 D3 49  |/3.14.1...2 * .I|
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00003DA0: 20 2B 20 28 33 5E 28 31  2F 32 29 20 2F 20 32 29  | + (3^(1/2) / 2)|
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00003DD0: 50 21 00 00 17 15 BB 10  01 51 80 00 07 FA 10 01  |P!.......Q......|
00003DE0: 51 00 00 09 E9 93 3C E7  27 20 20 20 20 20 20 20  |Q.....<.'       |
00003DF0: 20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
00003E00: 20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
00003E10: C0 E9 05 3C BE 33 3C B8  33 3C A8 90 58 00 00 00  |...<.3<.3<..X...|
00003E20: C1 A8 90 5B E7 00 00 A0  01 11 B1 81 17 A0 01 14  |...[............|
00003E30: A7 04 00 C1 A7 04 27 A0  01 11 A6 5E 81 A7 03 C0  |......'....^....|
00003E40: 07 17 A6 5E 81 A7 03 20  07 17 A6 5E 81 A6 A0 07  |...^... ...^....|
00003E50: 17 A6 5E 81 17 13 A7 04  28 C1 A7 07 98 A6 28 A0  |..^.....(.....(.|
00003E60: 01 12 A6 5E 81 17 A6 5E  81 A6 27 07 17 13 E7 11  |...^...^..'.....|
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00003E80: 1D 3C E7 0C 20 CD C1 D4  C8 D3 20 D4 C5 D3 D4 20  |.<.. ..... .... |
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00003EA0: 20 CD C1 D4 C8 D3 20 D4  C5 D3 D4 20 49 53 20 41  | ..... .... IS A|
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00003F70: 44 20 4F 46 46 45 52 45  44 3E E7 23 1D 1D 43 4F  |D OFFERED>.#..CO|
00003F80: 4E 54 49 4E 55 4F 55 53  4C 59 20 55 4E 54 49 4C  |NTINUOUSLY UNTIL|
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00003FA0: E7 23 1D 1D 49 4E 20 52  45 50 4C 59 20 54 4F 20  |.#..IN REPLY TO |
00003FB0: 41 20 51 55 45 53 54 49  4F 4E 20 57 48 45 52 45  |A QUESTION WHERE|
00003FC0: 2D 55 50 4F 4E 3E E7 21  1D 1D 59 4F 55 20 57 49  |-UPON>.!..YOU WI|
00003FD0: 4C 4C 20 42 45 20 50 52  45 53 45 4E 54 45 44 20  |LL BE PRESENTED |
00003FE0: 57 49 54 48 20 59 4F 55  52 3E E7 1A 1D 1D 53 43  |WITH YOUR>....SC|
00003FF0: 4F 52 45 2E 20 20 20 20  3C 20 C7 CF CF C4 20 CC  |ORE.    < .... .|
00004000: D5 C3 CB 20 3E 20 3E E7  27 11 11 11 11 11 1D 1D  |... > >.'.......|
00004010: 1D 1D 1D D0 52 45 53 53  20 3C 20 D2 C5 D4 D5 D2  |....RESS < .....|
00004020: CE 20 3E 20 54 4F 20 43  4F 4E 54 49 4E 55 45 2E  |. > TO CONTINUE.|
00004030: 3E 82 46 82 BD 33 05 52  48 30 E7 27 91 1D 20 20  |>.F..3.RH0.'..  |
00004040: 20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
00004050: 20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
00004060: 20 20 20 3C 1A 4A 78 B0  C3 B0 C4 B0 C5 A6 4E C6  |   <.Jx.......N.|
00004070: 1A 4A 97 BA A4 07 C7 E7  08 13 11 11 11 11 11 11  |.J..............|
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00004090: B5 C8 B9 A0 08 11 88 B4  08 3C EC 9D 2E 20 20 3C  |.........<...  <|
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000040B0: 54 45 52 20 59 4F 55 52  20 41 4E 53 57 45 52 20  |TER YOUR ANSWER |
000040C0: 4E 4F 57 2E 3E B0 A6 C6  17 EE 11 11 11 1D 1D 1D  |NOW.>...........|
000040D0: 3C 82 46 82 E8 02 52 48  D0 82 32 A6 30 04 82 32  |<.F...RH..2.0..2|
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00004100: 45 20 43 4F 52 52 45 43  54 20 41 4E 53 57 45 52  |E CORRECT ANSWER|
00004110: 2E 3E ED 91 91 91 91 91  3C 80 3E 84 B1 07 C4 19  |.>......<.>.....|
00004120: 49 6C E7 1F D4 48 41 54  20 49 53 20 4E 4F 54 20  |Il...HAT IS NOT |
00004130: 54 48 45 20 43 4F 52 52  45 43 54 20 41 4E 53 57  |THE CORRECT ANSW|
00004140: 45 52 2E 3E ED 91 91 91  91 91 3C 80 3E E9 91 3C  |ER.>......<.>..<|
00004150: E7 18 20 D4 48 45 20 43  4F 52 52 45 43 54 20 41  |.. .HE CORRECT A|
00004160: 4E 53 57 45 52 20 57 41  53 20 3C 87 3E 83 B1 07  |NSWER WAS <.>...|
00004170: C3 B1 C1 A7 0B B8 A0 01  11 A0 01 14 E7 25 11 11  |.............%..|
00004180: 11 1D 1D 20 20 20 20 20  20 20 20 20 20 20 20 20  |...             |
00004190: 20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
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000041E0: 45 53 55 4C 54 20 49 53  20 3C 8A 3C E9 25 3E E7  |ESULT IS <.<.%>.|
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00004200: D2 C5 D4 D5 D2 CE 20 3E  20 46 4F 52 20 4D 4F 52  |...... > FOR MOR|
00004210: 45 20 51 55 45 53 54 49  4F 4E 53 2E 3E 19 48 30  |E QUESTIONS.>.H0|
00004220: 4F E9 93 3C B0 A8 90 5D  03 00 00 17 A8 90 5D 01  |O..<...]......].|
00004230: 00 00 2E CB 8B A6 7F 01  52 4A 2B 8B 33 3C 8B BD  |........RJ+.3<..|
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00004250: 52 4A 43 19 4A 2B E9 93  3C 19 4A 43 EF 47 4F 54  |RJC.J+..<.JC.GOT|
00004260: 4F 37 39 30 3E F3 A7 02  77 17 BD A7 02 78 17 BD  |O790>...w....x..|
00004270: A7 02 79 17 B3 A6 C6 17  4F EE 13 11 11 11 11 11  |..y.....O.......|
00004280: 3C B1 C1 BF A0 01 11 80  3E A6 20 A7 04 C7 81 A6  |<.......>. .....|
00004290: 28 09 07 17 A0 01 14 1D  B0 27 A6 64 09 21 B1 07  |(........'.d.!..|
000042A0: C6 85 B1 07 C5 B1 C8 F9  A0 08 11 85 F9 01 1F 04  |................|
000042B0: B1 C5 88 A4 09 86 02 52  48 72 A0 08 14 85 86 E4  |.......RHr......|
000042C0: 09 1E B0 CC B1 C8 86 A0  08 11 B1 CD BA A0 0D 11  |................|
000042D0: 8D A4 07 4A A0 0D 14 A0  08 14 B0 27 B5 09 21 B1  |...J.......'..!.|
000042E0: 07 C1 BA A4 07 31 B4 07  CD 81 B4 07 C8 8D A4 07  |.....1..........|
000042F0: CE 8D 88 A4 07 E4 07 88  8E E4 07 BA 81 30 B1 35  |.............0.5|
00004300: E4 07 8C B1 07 CC 8C B5  04 52 4A D9 1D 4F 00 42  |.........RJ..O.B|
00004310: 80 00 00 00 00 00 41 00  00 00 00 00 00 41 80 00  |......A......A..|
00004320: 00 00 00 00 4E 51 00 00  00 00 00 43 41 00 00 00  |....NQ.....CA...|
00004330: 00 00 50 42 00 00 00 00  00 51 00 00 00 00 00 00  |..PB.....Q......|
00004340: 41 CE 00 00 00 00 00 42  00 00 00 00 00 00 52 00  |A......B......R.|
00004350: 00 00 00 00 00 52 80 00  00 00 00 00 42 54 00 00  |.....R......BT..|
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CANT.FIGURES - THE NUMBER 14.871 IS..14.
14.87.14.9.14.8.15.5..WRITE THE NUMBER 1
5.264 CORRECT.TO TWO PLACES OF DECIMALS.
..15.15.26.15.27.16.15.20.2..WRITE THE N
UMBER 0.164 CORRECT.TO ONE SIGNIFICANT F
IGURE...0.1.0.16.0.2.0.0.2.0.3..WRITE TH
E NUMBER 2846 CORRECT.TO THREE SIGNIFICA
NT FIGURES...2840.2845.2850.2900.2847.3.
!CORRECT TO TWO PLACES OF DECIMALS.THE N
UMBER 12.847 IS..12.8.12.84.12.85.13.12.
3. CORRECT TO ONE PLACE OF DECIMALS.THE 
NUMBER 12.847 IS..12.8.12.85.12.9.13.12.
1.IF EACH NUMBER IS GIVEN TO ONE SIGNIFI
CANT FIGURE - WHAT IS THE.MAXIMUM VALUE 
OF 7 + 5 ?..11.12.12.5.13.11.5.4.IF EACH
 NUMBER IS GIVEN TO ONE SIGNIFICANT FIGU
RE - WHAT IS THE"SMALLEST POSSIBLE VALUE
 OF 7 - 5 ?..1.2.2.5.3.1.5.1"IF EACH NUM
BER IS GIVEN CORRECT TO.ONE DECIMAL PLAC
E - WHAT IS THE.MAXIMUM VALUE OF 10.3 - 
6.1 ?..4.1.4.2.4.3.4.4.4.5.3..1/10 + 2/1
00 + 3/10 EQUALS...0.123.0.213.0.24.0.42
.0.6.4..3/10 - 8/100 EQUALS...0.22.0.5.0
.77.0.83.-0.5.1..0.12 ^ 2 EQUALS...0.014
4.0.144.0.24.1.44.0.00144.1..16900 ^ (1/
2) EQUALS...41.1.130.411.1300.31.3.2..0.
04 ^ (1/2) EQUALS...0.002.0.02.0.2.1.6.0
.16.3..4 ^ 3 EQUALS...12.16.64.81.128.3.
.(2 ^ 3) * (3 ^ 2) EQUALS...17.36.72.777
6.127.3..(3 ^ 2) ^ 3 EQUALS...18.243.729
.6561.81.3..(4 ^ 2) ^ (1/2) EQUALS...4.8
.10.32.64.1. (2 ^ (5/2)) * (2 ^ (3/2)) E
QUALS...0.5.2.8.16.2 ^ (15/4).4..(5 ^ 3)
 * (5 ^ -1) EQUALS...-625.-25.25.625.525
.3..(8 ^ 0) * (5 ^ 0) EQUALS...0.1.40.40
0.4000.2."WHICH OF THE FOLLOWING DO NOT 
HAVE.AN EXACT SQUARE ROOT? (I) 625$(II) 
2.25  -  (III) 3.5  -  (IV) 250.(I) & (I
II).(II) & (III).(I) & (IV).(III) & (IV)
.(I) & (II).4..15% OF 300 IS...33.45.153
.315.30.2..30% OF A NUMBER IS 279..THE N
UMBER IS..83.7.93.930.1209.737.3#A DEALE
R BOUGHT A T.V. SET FOR \70. HE SOLD IT 
FOR \90. WHAT WAS HIS PERCENTAGE PROFIT 
ON COST PRICE?..20%.23.22%.28.57%.34.25%
.55.76%.3#A DEALER BOUGHT A PIANO FOR \6
0 AND'SOLD IT FOR \80. WHAT IS HIS PERCE
NTAGE.PROFIT ON THE SELLING PRICE?..20%.
25%.33%.75%.55%.2!A MAN SOLD A CAR FOR \
400 THEREBY%MAKING A PROFIT OF 20% ON TH
E SELLING'PRICE. HOW MUCH DID HE PAY FOR
 THE CAR?..\320.\333:33.\392.\480.\372:6
6.1&A DEALER SOLD A SUITE OF FURNITURE F
OR%\75 THEREBY MAKING A PROFIT OF 25% ON
 THE COST PRICE. HOW MUCH HAD THE.SUITE 
COST HIM?.\50.\56:25.\60.\100.\72.3..THE
 SIMPLE INTEREST ON 450.FOR 2 YRS AT 6% 
P.A. IS..5:40.9:00.27:00.54:00.66:00.4#T
HE SIMPLE INTEREST GAINED ON A SUM&OF MO
NEY INVESTED FOR 5 YRS AT 4% P.A.#WAS 12
0. WHAT WAS THE SUM OF MONEY?..20.480.60
0.1980.880.3$A MAN RECEIVES A 10% INCREA
SE ON HIS&MONTHLY WAGE OF \150. HOW MUCH
 WILL HE%EARN IN A YEAR AT THE INCREASED
 RATE?..\1650.\1800.\1815.\1980.\2200.4%
IF INCOME TAX IS AT 40P IN THE \. HOW.MU
CH IS PAYABLE ON A TAXABLE.INCOME OF \12
0?..\4:80.\7:20.\48:00.\72:00.\77:00.3%I
F THE ANNUAL RATE IN A DISTRICT WERE$FIX
ED AT 90P IN THE \. WHAT WOULD BE&THE HA
LF-YEARLY AMOUNT TO BE PAID ON A PROPERT
Y OF RATEABLE VALUE \120?.\12.\54.\108.\
216.\256.2 AN INSURANCE COMPANY OFFERS F
IRE&INSURANCE AT A PREMIUM OF 20P IN \10
0.%WHAT WOULD BE THE ANNUAL PREMIUM ON A
.HOUSE INSURED AT \6500?.\13:00.\32:50.\
130:00.\325:00.\380:00.1#MR SMITH AND MR
 JONES SHARE A PRIZE!OF \20 IN THE RATIO
 2:3. HOW MUCH.DOES MR SMITH RECEIVE?..\
4:00.\8:00.\12:00.\13:33.\15:00.2#MARY -
 SALLY AND SUE SHARE A SUM OF%\30. MARY 
RECEIVES 15 SALLY, RECEIVES.\10. WHAT FR
ACTION OF THE.\30 DOES SUE RECEIVE?.5.1/
5.1/4.1/3.1/6.5 IN A COMPETITION TOM WIN
S \5 AND$HARRY WINS \10. WHAT IS THE RAT
IO OF#TOM'S WINNINGS TO HARRY'S WINNINGS
?..1:3.1:2.2:1.3:1.2:2.2..WHAT IS THE RE
CIPROCAL OF 20?...0.02.0.05.2 * 5 ^ (1/2
).400.2.2..WHAT IS THE RECIPROCAL OF 0.0
2?...0.0004.0.04.20.50.2.4..(51 ^ 2) - (
49 ^ 2) EQUALS...4.200.202.250.2552.2..2
A + B - A + B EQUALS...A + 2B.A.3A + B.A
 - 2B.2A - 2B.1..X - 2Y - 3X - Y EQUALS.
..4X - 3Y.- 2X - Y.2X - 3Y.-2X - 3Y.3X -
 2Y.4..(3X + Y) - (2X + Y) EQUALS...X + 
2Y.5X.X.X - 2Y.2X - 2Y.3..(A + 2B) - (A 
- 2B) EQUALS...2A - 4B.0.4B.-4B.-2A + 4B
.3."(3X + Y) - (X - 2Y) + (Y-X) EQUALS..
.X.2X.X + 2Y.X + 4Y.2X + 2Y.4..3(2A - B)
 - 2(3A + B) EQUALS...-5B.-B.12A - 5B.-2
B.B.1..X(X + 3) - X(X - 2) - 2 EQUALS...
X - 2.5X - 2.3X.2X^2 + 5X -2.X^2.2..(X +
 1) * ( X + 5) EQUALS...X^2 + 5X + 6.X^2
 + 6X + 5.X^2 + 4X + 5.X^2 + 6X + 6.X^2 
+ 5X + 4.2..(X - 1) * (X + 3) EQUALS...X
^2 - 2X + 3.X^2 +2X - 3.X^2 - 2X - 3.X^2
 + 4X - 3.X^2 - 4X + 3.2..(Y - 4) * (Y -
 3) EQUALS...Y^2 - 7Y + 7.Y^2 + 7Y - 7.Y
^2 - 7Y + 12.Y^2 - Y + 12.Y^2 + 12.3..(2
X + 3) * ( 3X - 2) EQUALS...6X^2 + 13X -
 6.6X^2 - 5X - 6.6X^2 - 5X + 6.6X^2 + 5X
 - 6.6X^ + 6X - 5.4..(2X - 5Y) * (X + 2Y
) EQUALS...2X^2 - XY - 10Y^2.2X^2 - 5XY 
- 10Y^2.2X^2 + XY - 10Y^2.2X^2 + 4XY - 1
0Y^2.2X^2 + 6XY + 10Y^2.1..(3X - 4Y)^2 E
QUALS...9X^2 - 12XY + 16Y^2.9X^2 - 16Y^2
.9X^2 + 16Y^2.9X^2 - 24XY + 16Y^2.16X^2 
+ 24XY - 9Y^2.4..2(X - Y)^2 + 3(X + Y)^2
 EQUALS...5X^2 + 5Y^2.5X^2 + XY + 5Y^2.5
X^2 + 2XY + 5Y^2.13X^2 + 10XY + 13Y^2.10
X^2 + 13XY + 10Y^2.3..(3X + 2Y) * (3X - 
2Y) EQUALS...9X^2 + 6XY - 4Y^2.9X^2 - 4Y
^2.9X^2 - 6XY - 4Y^2.9X^2 + 4Y^2.6X^2 + 
4XY + 9Y^2.2..4A^2 * 3A^3 EQUALS...7A^5.
12A^5.12A^6.72A^6.36A^4.2..2AB * 3AC * 4
ABC EQUALS...9A^2 * B^2 * C^2.12A^3 * B^
2 * C^2.24A^3 * B^2 * C^2.24A^2 * B^2 * 
C^2.18A^3 * B^2 * C^2.3..(3A)^2 * (4A)^3
 EQUALS...12A^5.12A^6.576A^5.576A^6.576A
^4.4..6A^4 / 2A^3 EQUALS...3A.3A/4.3/A.4
A.3A/2.1..(4A^2)^3 EQUALS...4A^5.4A^6.64
A^5.64A^6.64A^9.4..AN INTERIOR ANGLE OF 
A.REGULAR PENTAGON IS..72 DEGREES.108 DE
GREES.118 DEGREES.540 DEGREES.60 GEGREES
.2..THE SUM OF THE INTERIOR.ANGLES OF A 
HEXAGON ARE..5 RIGHT ANGLES.6 RIGHT ANGL
ES.8 RIGHT ANGLES.12 RIGHT ANGLES.10 RIG
HT ANGLES.3 THE INTERIOR ANGLES OF A REG
ULAR.FIGURE ARE 135 DEGREES EACH..THE FI
GURE IS..A PARALLELOGRAM..A HEXAGON..AN 
OCTAGON..A DECAGON..A PENTAGON..3.ABCD I
S A RHOMBUS. AB = 6 CM..ANGLE ABC = 60 D
EG..CALCULATE THE LENGTH OF AC..6 CM.6 *
 2^(1/2) CM.6 * 3^(1/2) CM.12 CM.9 CM.1#
A RHOMBUS HAS SIDES OF LENGTH 13 CM"AND 
THE SHORTER DIAGONAL IS 10 CM..CALCULATE
 THE LONGER DIAGONAL...10 CM.12 CM.13 CM
.24 CM.18 CM.4.!IN TRIANGLE ABC ANGLE B 
= 90 DEG.'AB = 8 CM AND BC = 10 CM. CALC
ULATE AC...3 * 2^(1/2).6 CM.2 * 41^(1/2)
CM.6 * 5^(1/2) CM.12 CM.3#ABC IS A TRIAN
GLE IN WHICH AB = 6CM!BC = 7 CM AND CA =
 8 CM. D IS THE.MIDPOINT OF AC. CALCULAT
E BD...21^(1/2) CM.5 CM.26^(1/2) CM.(53/
2)^(1/2) CM.13 CM.4.THE NUMBER OF CIRCLE
S THAT CAN%BE DRAWN THROUGH ANY THREE PO
INTS NOT.IN A STRAIGHT LINE IS..NONE..ON
E..TWO..INFINITE..FOUR..2.THE NUMBER OF 
TANGENTS THAT CAN$BE DRAWN TO A CIRCLE F
ROM A POINT IN$THE SAME PLANE OUTSIDE TH
E CIRCLE IS..NONE..ONE..TWO..INFINITE..F
OUR..3"A - B - C AND D ARE FOUR CONCYCLI
C.POINTS. IF ANGLE DAC IS 55 DEG..CALCUL
ATE ANGLE DBC...35 DEG.55 DEG.110 DEG.12
5 DEG.135 DEG.2.A - B - C AND D LIES ON 
THE&CIRCUMFERENCE OF A CIRCLE OF CENTRE 
E..IF ANGLE DBC EQUALS 50 DEGREES.FIND A
NGLE DEC..40 DEG..50 DEG..100 DEG..140 D
EG..160 DEG..3.THE ANGLE SUBTENDED BY A.
DIAMETER OF A CIRCLE AT A.POINT ON THE C
IRCUMFERENCE IS..ACUTE..A RIGHT ANGLE..O
BTUSE..REFLEX..NONE OF THESE..2.%IF A CI
RCLE CAN BE DRAWN THROUGH FOUR GIVEN POI
NTS THEN THE POINTS ARE..CONCYCLIC..EQUI
DISTANT..COLLINEAR..IDENTICAL..NONE OF T
HESE..1."ABCD IS A CYCLIC QUADRILATERAL.
 IF.ANGLE ABC IS 125 DEG CALCULATE.ANGLE
 CDA..55 DEG.62.5 DEG.125 DEG.235 DEG.18
0 DEG.1..THE OPPOSITE ANGLES OF A CYCLIC
.QUADRILATERAL ARE NECESSARILY..SUPPLEME
NTARY..COMPLEMENTARY..EQUAL..OBTUSE..ALL
 OF THESE..1#WHICH OF THE FOLLOWING FIGU
RES HAVE%DIAGONALS NECESSARILY AT RIGHT 
ANGLES&TO EACH OTHER? (I) RHOMBUS - (II)
 KITE"(III) SQUARE - (IV) PARALLELOGRAM.
.ALL OF THESE..(I) - (II) AND (III)..(I)
 - (II) AND (IV)..(I) AND (III) ONLY..NO
NE OF THESE..2%Y IS 1 KM FROM X AND 1 KM
 FROM Z. THE&BEARING OF Y FROM Z IS 180 
DEG AND THE.BEARING OF X FROM Y IS 270 D
EG."CALCULATE THE BEARING OF X FROM Z..4
5 DEG..90 DEG..135 DEG..225 DEG..270 DEG
..4"B AND C ARE EACH 10 KM FROM D. THE#B
EARING OF C FROM D IS 140 DEG. THE'BEARI
NG FROM C TO B IS 90 DEG. CACULATE.THE B
EARING OF B FROM D..40 DEG..50 DEG..130 
DEG..220 DEG..270 DEG..4..THE SUM OF THE
 INTERIOR ANGLES.OF AN OCTAGON IS..1.5 R
IGHT ANGLES..10 RIGHT ANGLES..12 RIGHT A
NGLES..16 RIGHT ANGLES..18 RIGHT ANGLES.
.3%X - Y AND Z LIE AT THE VERTICES OF AN
 EQUILATERAL TRIANGLE. FROM X - Y&LIES O
N A BEARING N40 DEG E,(040 DEG). WHAT IS
 THE BEARING OF Z FROM X?.170 DEG E..160
 DEG E..190 DEG W..190 DEG E..340 DEG W.
.2..TAN PI/4 EQUALS...1 / (2^(1/2)).(3^(
1/2)) / 2.1.2^(1/2).2.3..SIN 90 DEG EQUA
LS...-1.0.(3^(1/2)) / 2.1.(3^(1/2)) / 4.
4..SIN 75 DEG EQUALS...1 - SIN 15 DEG.TA
N 15 DEG.1 - COS 15 DEG.1 / (COS 15 DEG)
.COS 15 DEG.5..COS 60 DEG...1/2.1 / (2^(
1/2)).(3^(1/2)) / 2.3^(1/2).TAN 45 DEG.1
..1 / (2^(1/2)) IS THE VALUE OF...COS 30
 DEG.COS 60 DEG.SIN 45 DEG.TAN 45 DEG.SI
N 60 DEG.3. IF SIN A = 0.8 THEN TAN A EQ
UALS...4/3.3/4.5/3.5/4.3/5.1..TAN 0 DEG 
EQUALS...-1.0.1.45.INFINITY.2..(3^(1/2))
 / 2 IS THE VALUE OF...COS 60 DEG.TAN 30
 DEG.SIN 30 DEG.COS 30 DEG.TAN 60 DEG.4.
$IF TAN (X + 30 DEG) = 1 THEN WHAT IS#TH
E NUMERICALLY SMALLEST VALUE OF X..-29.1
5.45.60.90.2..TAN 40 DEGREES EQUALS...SI
N 50 DEG..COS 140 DEG..1 / TAN 50 DEG..-
 TAN 50 DEG.-COS 140 DEG.3..2^(1/2) IS T
HE VALUE OF...SIN 60 DEG..1 / SIN 45 DEG
..COS 45 DEG..TAN 60 DEG..TAN 45 DEG..2.
.COS 120 DEG EQUALS...-1/2.-(3^(1/2)) / 
2.1/2.(3^(1/2)) / 2.1 / (3^(1/2)).1..IF 
X IS AN OBTUSE ANGLE AND.TAN (X + 30) DE
G = -1 THEN.FIND THE VALUE OF X.-31.15.1
05.115.270.3..IF A IS AN OBTUSE ANGLE AN
D.SIN A = 4/5. FIND COS A..-4/5.-3/5.3/5
.4/3.-4/3.2..TAN 150 DEGREES EQUALS...-3
^(1/2).-1 / (3^(1/2)).1 / (3^(1/2)).3^(1
/2).-3^(1/2).2.IF ANGLE A IS ACUTE AND.T
AN (180 - A) DEGREES = -7/24.THEN SIN A 
EQUALS..-24/25.-7/25.7/24.7/25.24.4. .&I
F A = 30 DEG THEN 0.5 * SIN 2A EQUALS..(
3^(1/2)) / 4.3/4.1.3^(1/2).-3/4.1...COS 
PI EQUALS..-1.0.1.3.14.1/3.14.1...2 * SI
N (PI/2) EQUALS..-2.0.1/2.2.-1/2.4..&SIN
 30 DEGREES + SIN 60 DEGREES EQUALS..1.(
1+3^(1/2)) / 2.1 + (3^(1/2) / 2).0.5 + 3
^(0.5).-1.2.....P ......P!.......Q......
Q.....<.'                               
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.<.. MATHS TEST <........<."..   MATHS T
EST IS A COLLECTION OF>.$..MULTIPLE CHOI
CE QUESTIONS DESIGNED>. ..TO EXERCISE TH
E STUDENT WHO IS>.$..PREPARING FOR G.C.E
. EXAMINATIONS.>?....   THE QUESTIONS AR
E SELECTED>.$..RANDOMLY FROM THE FILE AN
D OFFERED>.#..CONTINUOUSLY UNTIL '0' IS 
ENTERED>.#..IN REPLY TO A QUESTION WHERE
-UPON>.!..YOU WILL BE PRESENTED WITH YOU
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.. THE CORRECT ANSWER WAS <.>...C.A... .
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