direct proportion
Y is directly proportional to the square of X
When Y=512 , X=8
Find the value of Y when X=9
648
Y is inversely proportional to the square of X.
When Y = 16, X = 7
Find the value of Y (to 1 d.p.) when X = 5
31.4
Factorise the following:
x² +8x +12
(x+2)(x+6)
Factorise the following:
20x² +21x -5
(4x+5)(5x-1)
What is the percentage increase of
24 to 42
75%
Y is directly proportional to x
when y =14 and x=7
find the value of y when x=6
12
Y is inversely proportional to the square of X.
When Y = 9, X = 18
Find the value of X (to 1 d.p.) when Y = 16
13.5
Factorise the following:
x² -5x -50
(x-10)(x+5)
Factorise the following:
16x² +24x +9
(4x+3)(4x+3)
What is the percentage decrease of
60 to 3
95%
Y is proportional to the square of X.
When Y = 192, X = 8
Find the value of Y when X = 9
243
Y is inversely proportional to X.
When Y = 20, X = 25
Find the value of Y when X = 125
4
Factorise the following:
x² +10x +25
(x+5)(x+5)
Factorise the following:
8x² +10x -25
(2x+5)(4x-5)
What is the percentage decrease of
60 to 54
10%
Y is directly proportional to X.
When Y = 40, X = 5
Find the value of Y when X = 6
48
Y is inversely proportional to X.
When Y = 24, X = 16
Find the value of X when Y = 128
3
Factorise the following:
x² +14x +40
(x+4)(x+10)
Factorise the following:
8x² +10x -3
(2x+3)(4x-1)
What is the percentage decrease of
60 to 18
70%
Y is directly proportional to X.
When Y = 10, X = 5
Find the value of X when Y = 6
3
Y is inversely proportional to X.
When Y = 4, X = 24
Find the value of Y when X = 96
1
Factorise the following:
x² -16x +63
(x-9)(x-7)
Factorise the following:
25x² -20x +4
(5x-2)(5x-2)
What is the percentage decrease of
80 to 76
5%