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Note form 5 - Mathematics, Study notes of Mathematics

Mathematics

Note for chapter 1 (Number bases) form 5 SPM

Typology: Study notes

2019/2020

Uploaded on 09/15/2020

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EXERCISE CHAPTER 1: NUMBER BASE
Paper 1
Kertas 1
1If 53 + 4 ร— 5 + x = 10435, find the value of x.
Jika 53 + 4 ร— 5 + x = 10435, cari nilai bagi x.
A4C1
B3D0
2Given that 10112 + 101102 = x2 โˆ’ 11002, find the value of x.
Diberi 10112 + 101102 = x2 โˆ’ 11002, cari nilai bagi x.
A101100 C1001011
B101101 D1011011
3Express 100405 as a number in base eight.
Nyatakan 100405 sebagai nombor dalam asas lapan.
A11778C12058
B12018D12158
4Convert 35110 to a number in base eight.
Tukar 35110 kepada nombor dalam asas lapan.
A6378C5378
B5478D5328
5Express 3418 as a number in base five.
Nyatakan 3418 sebagai nombor dalam asas lima.
A13305C14045
B14005D14105
6Find the value of the digit 5, in base ten, in the number 54308.
Cari nilai bagi digit 5, dalam asas sepuluh, dalam nombor 54308.
A20 480 C512
B2 560 D320
7Given that 11000012 โˆ’ y2 = 10001102 โˆ’ 1000102, find the value of y.
Diberi 11000012 โˆ’ y2 = 10001102 โˆ’ 1000102, cari nilai bagi y.
A1111011 C111111
B1110011 D111101
8Convert 13010 to a number in base two.
Tukar 13010 kepada nombor dalam asas dua.
A100000102C100100102
B100000112D101000102
9Express 4 ร— 53 โˆ’ 52 + 4 ร— 50 as a number in base five.
Nyatakan 4 ร— 53 โˆ’ 52 + 4 ร— 50 sebagai satu nombor dalam asas lima.
A34005C34075
B34045D34145
pf3
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EXERCISE CHAPTER 1: NUMBER BASE

Paper 1 Kertas 1 1 If 5^3 + 4 ร— 5 + x = 1043 5 , find the value of x. Jika 53 + 4 ร— 5 + x = 1043 5 , cari nilai bagi x. A 4 C 1 B 3 D 0 2 Given that 1011 2 + 10110 2 = x 2 โˆ’ 1100 2 , find the value of x. Diberi 10112 + 10110 2 = x 2 โˆ’ 1100 2 , cari nilai bagi x. A 101100 C 1001011 B 101101 D 1011011 3 Express 10040 5 as a number in base eight. Nyatakan 100405 sebagai nombor dalam asas lapan. A 11778 C (^12058) B 12018 D (^12158) 4 Convert 351 10 to a number in base eight. Tukar 35110 kepada nombor dalam asas lapan. A 6378 C (^5378) B 5478 D (^5328) 5 Express 341 8 as a number in base five. Nyatakan 3418 sebagai nombor dalam asas lima. A 13305 C (^14045) B 14005 D (^14105) 6 Find the value of the digit 5, in base ten, in the number 5430 8. Cari nilai bagi digit 5 , dalam asas sepuluh, dalam nombor 54308_._ A 20 480 C 512 B 2 560 D 320 7 Given that 1100001 2 โˆ’ y 2 = 1000110 2 โˆ’ 100010 2 , find the value of y. Diberi 11000012 โˆ’ y 2 = 1000110 2 โˆ’ 100010 2 , cari nilai bagi y. A 1111011 C 111111 B 1110011 D 111101 8 Convert 130 10 to a number in base two. Tukar 13010 kepada nombor dalam asas dua. A 100000102 C (^100100102) B 100000112 D (^101000102) 9 Express 4 ร— 5^3 โˆ’ 5^2 + 4 ร— 5^0 as a number in base five. Nyatakan 4 ร— 5^3 โˆ’ 5^2 + 4 ร— 5^0 sebagai satu nombor dalam asas lima. A 34005 C (^34075) B 34045 D (^34145)

10 Convert 782 10 to a number in base five. Tukar 78210 kepada nombor dalam asas lima. A 112125 C (^111175) B 111225 D (^111125) 11 Find the value of the digit 1, in base ten, in the number 4310 5. Cari nilai bagi digit 1 , dalam asas sepuluh, dalam nombor 43105_._ A 1 C 25 B 5 D 125 12 Given that 241 5 = q 2 , find the value of q. Diberi 2415 = q 2 , cari nilai bagi q. A 1000111 C 10001110 B 1010111 D 10001111 13 1001002 โˆ’ 10100 2 = A 100002 C (^1000002) B 101002 D (^1000012) 14 If 1010100 2 โˆ’ 11111 2 = x , express x as a number in base five. Jika 10101002 โˆ’ 11111 2 = x, nyatakan x sebagai nombor dalam asas lima. A 2135 C (^2035) B 2085 D (^1975) 15 If 1001011 2 โˆ’ 110000 2 = s , express s as a number in base eight. Jika 10010112 โˆ’ 110000 2 = s, nyatakan s sebagai nombor dalam asas lapan. A 438 C (^338) B 358 D (^308) 16 1000002 + 10111 2 โˆ’ 101000 2 = A 10112 C (^11102) B 11012 D (^11112) 17 10101002 + 1010000 2 = A 100001002 C (^101001002) B 101000002 D (^101001012) 18 Given that 1010110 2 = t 5 , find the value of t. Diberi 10101102 = t 5 , cari nilai bagi t. A 321 C 1221 B 341 D 1241 19 If 3 ร— 5^3 + x ร— 5^2 + 5 + 2 = 3012 5 , find the value of x. Jika 3 ร— 5^3 + x ร— 5^2 + 5 + 2 = 3012 5 , cari nilai bagi x. A 0 C 2 B 1 D 3 20 Given that 1100 2 + 1110 2 = x 2 โˆ’ 111000 2 , find the value of x. Diberi 11002 + 1110 2 = x 2 โˆ’ 111000 2 , cari nilai bagi x. A 11100101 C 1110010 B 10100101 D 1010010 21 Express 11121 5 as a number in base eight.

Jika 101112 โˆ’ 10000 2 = m, nyatakan m sebagai nombor dalam asas lima. A 55 C (^125) B 95 D (^225) 33 If 1001000 2 โˆ’ 110001 2 = s , express s as a number in base eight. Jika 10010002 โˆ’ 110001 2 = s, nyatakan s sebagai nombor dalam asas lapan. A 378 C (^278) B 318 D (^178) 34 111002 + 100100 2 โˆ’ 101100 2 = A 101102 C (^101002) B 101012 D (^100002) 35 10010112 + 111011 2 = A 100001002 C (^100001112) B 100001102 D (^100011102) 36 Given that 1001000 2 = p 5 , find the value of p. Diberi 10010002 = p 5 , cari nilai bagi p. A 242 C 1142 B 312 D 1212 37 If 5^3 + 4 ร— 5^2 + x ร— 5 + 3 = 1423 5 , find the value of x. Jika 53 + 4 ร— 5^2 + x ร— 5 + 3 = 1423 5 , cari nilai bagi x. A 1 C 3 B 2 D 4 38 Given that 110010 2 + 1010 2 = y 2 โˆ’ 10001 2 , find the value of y. Diberi 1100102 + 1010 2 = y 2 โˆ’ 10001 2 , cari nilai bagi y. A 1001100 C 10011011 B 1001101 D 11011011 39 Express 11234 5 as a number in base eight. Nyatakan 112345 sebagai nombor dalam asas lapan. A 14738 C (^14648) B 14658 D (^14638) 40 Convert 610 10 to a number in base eight. Tukar 61010 kepada nombor dalam asas lapan. A 12428 C (^11438) B 11528 D (^11428) Answer: 1 B 2 B 3 C 4 C 5 B 6 B 7 D 8 A 9 B 10 D 11 B 12 A 13 A 14 C 15 C 16 D 17 C 18 A 19 A 20 D 21 D 22 D 23 B 24 B 25 D 26 A 27 B 28 A 29 B 30 D 31 B 32 C 33 C 34 C 35 B 36 A 37 B 38 B 39 D 40 D