Maths4U
Menu
← Back to Chapter
Browsing as Guest. Answer checking, progress and bookmarks are disabled. Log in to track your work.

Practice — Algebra and graphs • Direct and inverse proportion

Direct proportion, powers and roots: check 1
Difficulty: ★★☆
5261
Info
M4U-EXT-QP-0580-DIRECT-PROPORTION-O1

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.

Log in to check answers and record progress. You can still view solutions.
Direct proportion, powers and roots: review variant 1
Difficulty: ★★☆
5262
Info
M4U-EXT-QP-0580-DIRECT-PROPORTION-O1-V1

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.

Log in to check answers and record progress. You can still view solutions.
Direct proportion, powers and roots: check 2
Difficulty: ★★☆
5263
Info
M4U-EXT-QP-0580-DIRECT-PROPORTION-O2

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.

Log in to check answers and record progress. You can still view solutions.
Direct proportion, powers and roots: review variant 2
Difficulty: ★★☆
5264
Info
M4U-EXT-QP-0580-DIRECT-PROPORTION-O2-V1

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.

Log in to check answers and record progress. You can still view solutions.
Direct proportion, powers and roots: check 3
Difficulty: ★★☆
5265
Info
M4U-EXT-QP-0580-DIRECT-PROPORTION-O3

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.

Log in to check answers and record progress. You can still view solutions.
Direct proportion, powers and roots: review variant 3
Difficulty: ★★☆
5266
Info
M4U-EXT-QP-0580-DIRECT-PROPORTION-O3-V1

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.

Log in to check answers and record progress. You can still view solutions.
Direct proportion, powers and roots: check 4
Difficulty: ★★☆
5267
Info
M4U-EXT-QP-0580-DIRECT-PROPORTION-O4

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.

Log in to check answers and record progress. You can still view solutions.
Direct proportion, powers and roots: review variant 4
Difficulty: ★★☆
5268
Info
M4U-EXT-QP-0580-DIRECT-PROPORTION-O4-V1

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.

Log in to check answers and record progress. You can still view solutions.
Inverse proportion, powers and roots: check 1
Difficulty: ★★☆
5269
Info
M4U-EXT-QP-0580-INVERSE-PROPORTION-O1

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.

Log in to check answers and record progress. You can still view solutions.
Inverse proportion, powers and roots: review variant 1
Difficulty: ★★☆
5270
Info
M4U-EXT-QP-0580-INVERSE-PROPORTION-O1-V1

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.

Log in to check answers and record progress. You can still view solutions.
Inverse proportion, powers and roots: check 2
Difficulty: ★★☆
5271
Info
M4U-EXT-QP-0580-INVERSE-PROPORTION-O2

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.

Log in to check answers and record progress. You can still view solutions.
Inverse proportion, powers and roots: review variant 2
Difficulty: ★★☆
5272
Info
M4U-EXT-QP-0580-INVERSE-PROPORTION-O2-V1

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.

Log in to check answers and record progress. You can still view solutions.
Inverse proportion, powers and roots: check 3
Difficulty: ★★☆
5273
Info
M4U-EXT-QP-0580-INVERSE-PROPORTION-O3

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.

Log in to check answers and record progress. You can still view solutions.
Inverse proportion, powers and roots: review variant 3
Difficulty: ★★☆
5274
Info
M4U-EXT-QP-0580-INVERSE-PROPORTION-O3-V1

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.

Log in to check answers and record progress. You can still view solutions.
Inverse proportion, powers and roots: check 4
Difficulty: ★★☆
5275
Info
M4U-EXT-QP-0580-INVERSE-PROPORTION-O4

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.

Log in to check answers and record progress. You can still view solutions.
Inverse proportion, powers and roots: review variant 4
Difficulty: ★★☆
5276
Info
M4U-EXT-QP-0580-INVERSE-PROPORTION-O4-V1

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.

Log in to check answers and record progress. You can still view solutions.
No questions left in this filter.