Direct proportion, powers and roots: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
For x>0, y is directly proportional to \(\displaystyle x^{\frac{1}{3}}\). When \(\displaystyle x=8, y=\)\(6\). Write the proportionality constant as k.
Find the positive constant of proportionality k.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Direct proportion, powers and roots: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
For x>0, y is directly proportional to \(x^{1}\). When \(\displaystyle x=2, y=\)\(8\). Write the proportionality constant as k.
Find the positive constant of proportionality k.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Direct proportion, powers and roots: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
For x>0, y is directly proportional to \(x^{1}\). When \(\displaystyle x=2, y=\)\(8\). Write the proportionality constant as k.
Find y when \(\displaystyle x=3\).
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Direct proportion, powers and roots: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
For x>0, y is directly proportional to \(x^{2}\). When \(\displaystyle x=2, y=\)\(20\). Write the proportionality constant as k.
Find y when \(\displaystyle x=3\).
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Direct proportion, powers and roots: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
For x>0, y is directly proportional to \(x^{2}\). When \(\displaystyle x=2, y=\)\(20\). Write the proportionality constant as k.
Find the positive x when \(\displaystyle y=\)\(180\).
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Direct proportion, powers and roots: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
For x>0, y is directly proportional to \(x^{3}\). When \(\displaystyle x=2, y=\)\(48\). Write the proportionality constant as k.
Find the positive x when \(\displaystyle y=\)\(162\).
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Direct proportion, powers and roots: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
For x>0, y is directly proportional to \(x^{3}\). When \(\displaystyle x=2, y=\)\(48\). Write the proportionality constant as k.
If x is multiplied by 64, find the multiplier applied to y.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Direct proportion, powers and roots: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
For x>0, y is directly proportional to \(\displaystyle x^{\frac{1}{2}}\). When \(\displaystyle x=4, y=\)\(14\). Write the proportionality constant as k.
If x is multiplied by 64, find the multiplier applied to y.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Inverse proportion, powers and roots: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
For x>0, y is inversely proportional to \(x^{1}\). When \(\displaystyle x=2, y=\)\(2\). Write the proportionality constant as k.
Find the positive constant of proportionality k.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Inverse proportion, powers and roots: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
For x>0, y is inversely proportional to \(x^{2}\). When \(\displaystyle x=2, y=\)\(\displaystyle \frac{5}{4}\). Write the proportionality constant as k.
Find the positive constant of proportionality k.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Inverse proportion, powers and roots: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
For x>0, y is inversely proportional to \(x^{2}\). When \(\displaystyle x=2, y=\)\(\displaystyle \frac{5}{4}\). Write the proportionality constant as k.
Find y when \(\displaystyle x=3\).
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Inverse proportion, powers and roots: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
For x>0, y is inversely proportional to \(x^{3}\). When \(\displaystyle x=2, y=\)\(\displaystyle \frac{3}{4}\). Write the proportionality constant as k.
Find y when \(\displaystyle x=3\).
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Inverse proportion, powers and roots: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
For x>0, y is inversely proportional to \(x^{3}\). When \(\displaystyle x=2, y=\)\(\displaystyle \frac{3}{4}\). Write the proportionality constant as k.
Find the positive x when \(\displaystyle y=\)\(\displaystyle \frac{2}{9}\).
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Inverse proportion, powers and roots: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
For x>0, y is inversely proportional to \(\displaystyle x^{\frac{1}{2}}\). When \(\displaystyle x=4, y=\)\(\displaystyle \frac{7}{2}\). Write the proportionality constant as k.
Find the positive x when \(\displaystyle y=\)\(\displaystyle \frac{7}{4}\).
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Inverse proportion, powers and roots: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
For x>0, y is inversely proportional to \(\displaystyle x^{\frac{1}{2}}\). When \(\displaystyle x=4, y=\)\(\displaystyle \frac{7}{2}\). Write the proportionality constant as k.
If x is multiplied by 64, find the multiplier applied to y.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Inverse proportion, powers and roots: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
For x>0, y is inversely proportional to \(\displaystyle x^{\frac{1}{3}}\). When \(\displaystyle x=8, y=\)\(1\). Write the proportionality constant as k.
If x is multiplied by 64, find the multiplier applied to y.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.