12/13/2017
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OCR Further Maths Additional Pure Book
Without performing the division, determine whether: a
2136 is divisible by 4
b 4215 is divisible by 4 c
54128 is divisible by 8
d 31764 is divisible by 9 e
7284916375 is divisible by 11.
Show that 15 | 24630.
3
Without performing the division, determine whether: a
E
2
27545024 and 33440778 are both divisible by 8 and/or 9
c
PL
b 17841106 and 13880328 are both divisible by 9 and/or 11
55581768 and 66593934 are both divisible by 9 and/or 11
d 667667 and 289731 are both divisible by 3 and/or 11. 4
Show that 11 | 34601919.
5
Using the algorithm described in Key Point 2.2 to determine whether: a
1956955 is divisible by 17
SA M
b 189200 is divisible by 43 c
3141259 is divisible by 19
d 456617 is divisible by 37.
6
Without doing the division, show that 11 is not a factor of 2018. Find the residue when 2018 is divided by 11.
7 8 9
Given that 165 divides into 51a20b5, find a and b.
|
Show that (x + 3) (x 4 − 4x 2 + 14x − 3).
Use the division algorithm to find the quotient and the remainder when:
a
37 is divided by 7
b 512 is divided by 5 c
x 2 + 3x − 4 is divided by x − 2
d n 3 − 3n 2 + 2n + 4 is divided by n 2 + 2n − 3. 10
Find the residue when 1495 × 1594 + 500 is divided by 13.
11
Find the remainders when 2, 2 2, 2 3, 2 4, 2 5, 2 6 and 2 7 are divided by 7.
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