Show model answer and explanation
7/12
9/12−2/12=7/12.
Class 7 admission · English Version · Mathematics
Fractions, decimals, ratio and percentages
Solve fraction, ratio and percentage problems with the correct base.
About this lesson and its coverage
Original Model Test for Exam unit. These questions and suggested practice times are independent Kidemy material, not an official or past paper. Choose modules for the target programme; all listed subjects are not required for every applicant.
Learn the idea
Convert quantities into compatible units before combining them. A percentage increase is measured against the original value. Ratio shares divide a total into the stated number of parts. For fractions, the denominator defines part size and must be handled through equivalent fractions.
Worked example
Share 84 in ratio 3:4: total parts 7, one part 12, shares 36 and 48. Increasing 200 by 15% gives 230. A later 15% decrease uses 230 as its base.
- State the whole or base.
- Show equivalent fractions or ratio parts.
- Check by reconstructing the total.
Your written practice
Show your working on paper. Check your answer, then choose Next.
Show model answer and explanation
36
96/8×3 = 36.
Show model answer and explanation
300
240×1.25=300.
Write in your own words. A guardian or teacher should review this response.
Show model answer and explanation
100×1.2=120; 120×0.8=96.
Use each period’s base; percentages do not cancel.
Write in your own words. A guardian or teacher should review this response.
Show model answer and explanation
0.3 is 30/100 or 30%, while 3% is 0.03.
Convert both to a shared representation.
Progress and browser storage
Notebook challenge, sources and further study
Ratio model test
Solve independently and explain one incorrect method.
Review with a guardian or teacher
- Keep units and bases visible.
- Simplify fractions.
- Use an inverse or total check.
Keep your work on paper or in a local file. This page does not upload it or automatically grade the project.
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