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Ratio sharing questions, worked from one part

A ratio question splits a total into parts, or reads one share back to the whole. This drill gives you five of them, untimed and free to use, with no sign-up. After you submit, each one shows the working from the value of a single part, and names the wrong turn behind every other option.

Start the ratio sharing drill

5 questions · untimed · free to use · no sign-up

One question of this type, worked in full

Try the question before you read on. The steps take the fastest route that still shows the reasoning, and the last one is the answer the drill marks.

A bonus pool of 4,800 euros is shared between the early and late shifts in the ratio 5 : 3. How much does the late shift receive?

  1. Count the parts before splitting anything: 5 + 3 = 8 parts.
  2. One part is worth 4,800 ÷ 8 = 600 euros.
  3. The late shift holds three of those parts: 600 × 3 = 1,800 euros.

Answer: 1,800 euros. Testonome practice pace: 55 seconds for a question like this.

Four ways this question type goes wrong

Each question offers these alongside the right answer, and the review names which one you took.

  • Split evenly

    Splitting the total evenly and ignoring the ratio.

  • One part only

    Stopping at what a single part is worth, which is the first step rather than the answer.

  • Ratio read backwards

    Reading the ratio from the wrong end, so the other side's share is reported.

  • Divided by one side

    Dividing by one side's parts instead of by all of them.

What the review gives you after you submit

You get the working for every question, the answer you chose beside the right one, and the reason the option you picked is wrong. Nothing is sent anywhere while you work.

Other numerical skills you can drill

The ratio sharing formula, beside the other numerical formulas

All numerical practice