Math Drills
Equal Ratios and Their Uses
A-3Calculation (Dividing in a Ratio)
You can hand this out in class or share it on social media for free. Usage rules
What this worksheet covers
- Topic
- Ratio and Its Uses
- Worksheet
- Equal Ratios and Their Uses
Ratios are put to work moving actual amounts. Four shapes carry the lesson: calculation splitting a whole by a fixed ratio to give two amounts, fill-in-the-blank items completing a box so that the ratios are equal, word problems finding one amount from the ratio and the other, and word problems splitting a whole and answering each part.
Read more
In equal ratios the front figure and the back figure move by the same multiplier. Finding first how many times one side has grown and applying that multiplier to the other is the procedure. An answer that filled the box by simply adding the difference between the left and right figures disagrees with that multiplier.
What gets compared turns from quantities to figures in Enlargement and Reduction, which follows. In scenes weighing the side lengths of two drawings against each other, the view of ratio matched here goes straight to work.
- Sharing Using a Ratio (Calculation)8 questions
Questions & answers
Problems and answers on this worksheet
These are the problems in “Ratio and Its Uses”, shown with their answers.
(1)Divide 110 in the ratio 5:6. Answer □and□
Answer: 50, 60
(2)Divide 150 in the ratio 1:2. Answer □and□
Answer: 50, 100
(3)Divide 110 in the ratio 2:9. Answer □and□
Answer: 20, 90
(4)Divide 150 in the ratio 2:3. Answer □and□
Answer: 60, 90
(5)Divide 90 in the ratio 2:7. Answer □and□
Answer: 20, 70
(6)Divide 120 in the ratio 1:2. Answer □and□
Answer: 40, 80
(7)Divide 170 in the ratio 1:4. Answer □and□
Answer: 34, 136
(8)Divide 350 in the ratio 1:4. Answer □and□
Answer: 70, 280
What to do next
More worksheets in this unit
Ratio Values and Simplifying RatiosRatio Values and Simplifying Ratios Calculation (Decimal-Fraction Ratios)
Ratio Values and Simplifying RatiosRatio Values and Simplifying Ratios Word Problems
Equal Ratios and Their UsesEqual Ratios and Their Uses Fill in the Blank
Equal Ratios and Their UsesEqual Ratios and Their Uses Word Problems
Ratio and Its Uses ReviewRatio and Its Uses Review Calculation
Ratio and Its Uses ReviewRatio and Its Uses Review Word Problems
