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Math 10 Chapter 3 - Part E
1.
The unknown in the continued proportion 9, x + 1, 16
a) 22
b) 33
c) 36
d) 11
2.
a + b/b = 13/3
a) x
^{2}
y
^{2}
/(x+y)
^{2}
b) a/b= 10 / 3
c) a = 36c
d) 36
3.
a/b = b/c = 6
a) 36
b) 44
c) a = 36c
d) 11
4.
a/b = b/c
a) k = 4
b) Direct proportion
c) c = b
^{2}
/ a
d) k = 1
5.
x/y = 2/3
a) a = +- 8
b) 2x + 3y/3x + 4y = 13/18
c) k = 1
d) c = b
^{2}
/ a
6.
Weight and mass of a body
a) Direct proportion
b) a = +- 8
c) k = 1
d) k = 4
7.
a and b
^{3}
varies directly a = 8 when b = 2
a) k = 4
b) Direct proportion
c) a = +-8
d) k = 1
8.
32, a and 2 are in continued proportion
a) k = 1
b) a = +-8
c) 6x + 2y/5x | y = 18/13
d) Direct proportion
9.
x/a = y/b = z/c = 2/3
a) x = 13/ 5
b) b = ac
c) Lengths of the side of triangle with perimeter 12cm
d) x
^{3}
y
^{3}
z
^{3}
/abc = 8 /27
10.
3cm, 4cm, 5cm
a) b
^{2}
= ac
b) x = 13/ 5
c) Lengths of the side of triangle with perimeter 12cm
d) y
^{3}
a
1/ x
^{2}
11.
x/5 = 13/15
a) x = 13/ 5
b) b
^{2}
= ac
c) y
^{3}
a
1/ x
^{2}
d) Lengths of the side of triangle with perimeter 12cm
12.
y
^{3}
x
^{2}
= k
a) y
^{3}
a
1/ x
^{2}
b) b
^{2}
= ac
c) x
^{3}
y
^{3}
z
^{3}
/abc = 8 /27
d) b = ac
13.
a/b = b/ c
a) x
^{3}
y
^{3}
z
^{3}
/abc = 8 /27
b) b
^{2}
= ac
c) Lengths of the side of triangle with perimeter 12cm
d) y
^{3}
a
1/ x
^{2}
14.
a/b = c/d or b/a = d/ c
a) Invertendo property
b) 18
c) 8
d) 64
15.
a:b = c:d then a +b:b = c+d :d
a) Componendo property
b) 16, 10
c) Invertendo property
d) 18, 8
16.
The third proportional of 4,16 is
a) 64
b) 60
c) 8
d) 18
17.
2a+1/2b-2 = 9/ 20
a) 16, 10
b) Invertendo property
c) 18, 8
d) a/b= 4/11
18.
The ratio between two numbers is 8:5 the sum of the numbers is 26
a) 8,18
b) 18, 8
c) 10, 16
d) 16, 10
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