Maths4U Original · Short practice

60 identical objects are shared between group A and group B in ratio 5:5, in that order.

Find the first share.

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.

Maths4U Original · Short practice

84 identical objects are shared between group A and group B in ratio 6:6, in that order.

Find the first share.

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.

Maths4U Original · Short practice

84 identical objects are shared between group A and group B in ratio 6:6, in that order.

Find the second share.

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.

Maths4U Original · Short practice

40 identical objects are shared between group A and group B in ratio 2:3, in that order.

Find the second share.

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.

Maths4U Original · Short practice

40 identical objects are shared between group A and group B in ratio 2:3, in that order.

Find the fraction of the total in the first share.

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.

Maths4U Original · Short practice

63 identical objects are shared between group A and group B in ratio 3:4, in that order.

Find the fraction of the total in the first share.

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.

Maths4U Original · Short practice

63 identical objects are shared between group A and group B in ratio 3:4, in that order.

The same ratio is used with 77 objects. Find its first share.

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.

Maths4U Original · Short practice

90 identical objects are shared between group A and group B in ratio 4:5, in that order.

The same ratio is used with 108 objects. Find its first share.

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.

Maths4U Original · Short practice

Let \(\displaystyle A=600\) and \(\displaystyle r=5\).

Find r% of A.

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.

Maths4U Original · Short practice

Let \(\displaystyle A=700\) and \(\displaystyle r=6\).

Find r% of A.

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.

Maths4U Original · Short practice

Let \(\displaystyle A=700\) and \(\displaystyle r=6\).

\(\displaystyle B=\)\(112\). Express B as a percentage of A.

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.

Maths4U Original · Short practice

Let \(\displaystyle A=800\) and \(\displaystyle r=7\).

\(\displaystyle B=\)\(136\). Express B as a percentage of A.

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.

Maths4U Original · Short practice

Let \(\displaystyle A=800\) and \(\displaystyle r=7\).

Increase A by r%.

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.

Maths4U Original · Short practice

Let \(\displaystyle A=900\) and \(\displaystyle r=8\).

Increase A by r%.

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.

Maths4U Original · Short practice

Let \(\displaystyle A=900\) and \(\displaystyle r=8\).

Decrease A by r%.

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.

Maths4U Original · Short practice

Let \(\displaystyle A=1000\) and \(\displaystyle r=9\).

Decrease A by r%.

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.

Maths4U Original · Short practice

A fictional price increases by \(\displaystyle r=13\)% to \(1017\) currency units. The rate r is used in every part.

Find the original price before the stated increase.

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.

Maths4U Original · Short practice

A fictional price increases by \(\displaystyle r=14\)% to \(1140\) currency units. The rate r is used in every part.

Find the original price before the stated increase.

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.

Maths4U Original · Short practice

A fictional price increases by \(\displaystyle r=14\)% to \(1140\) currency units. The rate r is used in every part.

A separate price fell by r% to \(860\). Find its original value.

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.

Maths4U Original · Short practice

A fictional price increases by \(\displaystyle r=15\)% to \(1265\) currency units. The rate r is used in every part.

A separate price fell by r% to \(935\). Find its original value.

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.

Maths4U Original · Short practice

A fictional price increases by \(\displaystyle r=15\)% to \(1265\) currency units. The rate r is used in every part.

Starting from the original price, apply an r% increase followed by an r% decrease. Find the final price.

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.

Maths4U Original · Short practice

A fictional price increases by \(\displaystyle r=16\)% to \(580\) currency units. The rate r is used in every part.

Starting from the original price, apply an r% increase followed by an r% decrease. Find the final price.

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.

Maths4U Original · Short practice

A fictional price increases by \(\displaystyle r=16\)% to \(580\) currency units. The rate r is used in every part.

Find the overall percentage decrease after those two successive changes.

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.

Maths4U Original · Short practice

A fictional price increases by \(\displaystyle r=17\)% to \(702\) currency units. The rate r is used in every part.

Find the overall percentage decrease after those two successive changes.

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.