It is given that a ∝ b m c n a\propto\frac{b^m}{c^n} a ∝ c n b m and a varies directly as the cube of b and inversely as the square root of c. State the value of m and of n.

m=3, n = 1 2 n=\frac{1}{2} n = 2 1

m=3, n = − 1 2 n=-\frac{1}{2} n = − 2 1

Given E ∝ F E\propto F E ∝ F F=G-3 and E = 4 when G = 9, express E in terms of F.

E = 2 3 F E=\frac{2}{3}F E = 3 2 F

E = 3 2 F E=\frac{3}{2}F E = 2 3 F

FORM 5 CHAPTER 5 VARIATION

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Mathematics

5th - 8th Grade

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

P varies directly as the cube root of Q. Find the relation between P and Q.

$P\propto Q^3$

$P\propto\frac{1}{Q^3}$

$P\propto Q^{\frac{1}{3}}$

$P\propto\frac{1}{Q^{\frac{1}{3}}}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

It is given that S varies directly as T and inversely as the square root of U. Find the relation between S, T and U.

$S\propto\frac{U^2}{T}$

$S\propto\frac{T}{U^2}$

$S\propto\frac{T}{\sqrt{U}}$

$S\propto\frac{\sqrt{U}}{T}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

y varies directly as x and inversely as the square of z. Given that the constant is k,find the relation between x, y and z.

$y=\frac{kx^2}{z}$

$y=\frac{kx}{z^2}$

$y=\frac{kx}{\sqrt{z}}$

$y=\frac{k\sqrt{z}}{x}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

It is given that X varies directly as the square root of Y and inversely as the square of Z. Find the relation betzveen X, Y and Z.

$X\propto\frac{\sqrt{Y}}{Z^2}$

$X\propto\frac{\sqrt{Z}}{Y^2}$

$X\propto\frac{Y^2}{\sqrt{Z}}$

$X\propto\frac{Z^2}{\sqrt{Y}}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

It is given that PQ² = k, where k is a constant. Which of the following statements is true?

P varies directly as the square of Q.

P varies directly as the square root of Q.

P varies inversely as the square of Q.

P varies inversely as the square root of Q.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The table shows some values of the variables p, q and r such that p varies directly as the square of q and inversely as r.
Calculate the value of d.

108

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The table below shows some values of the variables L and M such that M varies inversely as the square root of L.
Find the relation between M and L.

$M=\frac{3}{L^{\frac{1}{2}}}$

$M=3L^{\frac{1}{2}}$

$M=\frac{3}{L^2}$

$M=3L^2$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The table below some values of the variables p, q and r which satisfy $r\propto pq$ . Calculate the value of d.

$\frac{1}{3}$

$\frac{1}{2}$

$\frac{1}{4}$

$6$

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FORM 5 CHAPTER 5 VARIATION

P varies directly as the cube root of Q. Find the relation between P and Q.

It is given that S varies directly as T and inversely as the square root of U. Find the relation between S, T and U.

y varies directly as x and inversely as the square of z. Given that the constant is k,find the relation between x, y and z.

It is given that X varies directly as the square root of Y and inversely as the square of Z. Find the relation betzveen X, Y and Z.

It is given that PQ² = k, where k is a constant. Which of the following statements is true?

The table shows some values of the variables p, q and r such that p varies directly as the square of q and inversely as r.
Calculate the value of d.

The table below shows some values of the variables L and M such that M varies inversely as the square root of L.
Find the relation between M and L.

The table shows two sets of values of the variables D and N.
It is given that D varies directly as N. Find the value of x.

The table below some values of the variables p, q and r which satisfy $r\propto pq$ . Calculate the value of d.

The table shows some values of the variables P and Q.
It is given that P varies inversely as Q. Find the value of R.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

FORM 5 CHAPTER 5 VARIATION

P varies directly as the cube root of Q. Find the relation between P and Q.

It is given that S varies directly as T and inversely as the square root of U. Find the relation between S, T and U.

y varies directly as x and inversely as the square of z. Given that the constant is k,find the relation between x, y and z.

It is given that X varies directly as the square root of Y and inversely as the square of Z. Find the relation betzveen X, Y and Z.

It is given that PQ2 = k, where k is a constant. Which of the following statements is true?

The table shows some values of the variables p, q and r such that p varies directly as the square of q and inversely as r. Calculate the value of d.

The table below shows some values of the variables L and M such that M varies inversely as the square root of L.Find the relation between M and L.

The table shows two sets of values of the variables D and N.It is given that D varies directly as N. Find the value of x.

The table below some values of the variables p, q and r which satisfy r∝pqr\propto pqr∝pq . Calculate the value of d.

The table shows some values of the variables P and Q.It is given that P varies inversely as Q. Find the value of R.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

It is given that PQ² = k, where k is a constant. Which of the following statements is true?

The table shows some values of the variables p, q and r such that p varies directly as the square of q and inversely as r.
Calculate the value of d.

The table below shows some values of the variables L and M such that M varies inversely as the square root of L.
Find the relation between M and L.

The table shows two sets of values of the variables D and N.
It is given that D varies directly as N. Find the value of x.

The table below some values of the variables p, q and r which satisfy $r\propto pq$ . Calculate the value of d.

The table shows some values of the variables P and Q.
It is given that P varies inversely as Q. Find the value of R.