Looking for a Tutor Near You?

Post Learning Requirement »
x

Choose Country Code

x

Direction

x

Ask a Question

x

x
Hire a Tutor
DISCOVER

Numbers

Loading...

Published in: Mathematics
212 Views

Ratio and Proportion Dividing in a ratio Using Proportionality

Divya J / Dubai

15 years of teaching experience

Qualification: CAIE and Pearson Examiner for IGCSE an AS Levels, Masters in Mathematics

Teaches: SAT, ACT, Maths, IGCSE/AS/AL, Physics, Biology, Chemistry, Mathematics

Contact this Tutor
  1. Mathematics Lecture No.- 08 Ratio and Proportion Today's Targets Ratio and Proportion Dividing in a ratio Using Proportionality
  2. Ratio A ratio is a way of comparing one part of a whole to another. + A ratio can also be expressed as a fraction (of the whole). You can write ratios in the form of a : b or as fractions a/b. The order in which you write the amounts is very important. Ratio is scale factor.
  3. Ratio Simplifying ratios or finding an equivalent ratio: Ratios are in their simplest form when you write them using the smallest whole numbers possible. You can simplify ratios in the same way that you simplified fractions. If you multiply or divide the terms of the ratio by the same number (except 0) you get an equivalent ratio.
  4. Ratio Sharing/Dividing an amount into a ratio: Ratios can be used to divide or share quantities. find the value of one part. This is the unitary method. Add the values in the ratio to find the total number of parts involved. •V Divide the quantity by the total number of parts to find the quantity per part (the value of one part). Multiply the values in the ratio by the quantity per part to find the value of each part.
  5. Ratio Sharing/Dividing an amount into a ratio: Ratios can be used to divide or share quantities. express the shares as fractions. Thls is the ratio method. •./ Add the values in the ratio to fi nd the total number of parts involved. Express each part of the ratio as a fraction of the total parts. •V Multiply the quantity by the fraction to fi nd the value of each part.
  6. Ratio When difference is given in a ratio problem: Equate the difference of quantity with no of parts. • Find the quantity in one part. • Finally find the required quantity.
  7. Ratio When one part of a ratio is given: Equate the given quantity with given no of parts. • Find the quantity in one part. • Finally find the required quantity.
  8. Ratio Calculating quantities that are in proportion: If two quantities are in direct proportion: When one is multiplied or divided by a number, so is the other. Their ratio stays the same as they increase or decrease. If 4 muffins require 100 grams of flour, then 12 muffins require 300 grams of flour (by multiplying both quantities by a scale factor of 3).
  9. Question Sandra has a piece of string 153 cm long. She cuts the string into three lengths in the ratio 4 : 2 : 3. Work out the length, in centimetres, of each piece of string.
  10. Question A is half of B. Work out the ratio A : B. Circle your answer.
  11. Question The ratio 50 grams to 1 kilogram can be written in the form 1 : n. Find the value of n.
  12. Question Jon shares E700 equally between his two children, Ellie and Maddie. Ellie gives E125 of her share of the money to Maddie. Write down the ratio of the amount of money Ellie now has to the amount of money Maddie now has.
  13. Question This is a list of ingredients for making chicken soup for 4 people. Ingredients for 4 people 60 g butter 300 g chicken 150 ml cream 1 onion 640 ml chicken stock Bill is going to make chicken soup for 6 people. Work out the amount of each ingredient he needs.
  14. Question Emma has a digital photo. The photo has a width of 720 pixels. The photo has a height of 540 pixels. Write down the ratio of the width of the photo to the height of the photo. Give your ratio in its simplest form. 540 pixels 720 pixels Diagram NOT accurately drawn
  15. Question The ratio of the number of boys to the number of girls in a school is 4 : 5. There are 95 girls in the school. Work out the total number of students in the school.
  16. Question There are some red counters and some yellow counters in a bag in the ratio 1 : 5. There are 20 yellow counters in the bag. Work out the number of red counters in the bag.
  17. Question Janet puts some more red counters into the bag. The ratio of the number of red counters to the number of yellow counters is now 1 : 2. How many red counters does Janet put into the bag?
  18. Question The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5. Work out the area of the triangle.
  19. Question Work out the difference between the largest share and the smallest share when 3450 yen is divided in the ratio 2 : 6: 7.
  20. Question Work out cube root of 512 : reciprocal of 0.4. Give your answer in the form n : 1.
  21. Question Danil, Gabriel and Hadley share some money in the ratios 3 : 5 : 9. The difference between the amount of money that Gabriel receives and the amount of money that Hadley receives is 196 euros. Work out the amount of money that Danil receives.
  22. Question Rana sells 192 cakes in the ratio small: medium: large = 7 : 6 : 11. The profit for one medium cake is twice the profit for one small cake. The profit for one large cake is three times the profit for one small cake. Her total profit is E532.48. Work out the profit for one small cake.
  23. [M15, 22, Q9] Ahmed, Batuk and Chand share $1000 in the ratio 8 : 7 : 5. Calculate the amount each Ahmed $ [I] receives. Batuk $ ..................... [I] Chand $ ..... .... ............ [11
  24. [W16, 22, Q12] Ralf and Susie share $ 57 in the ratio 2 : I. s [21 (a) Calculate the amount Ralf receives. (b) Ralf gives $2 to Susie. Calculate the new ratio Ralf's money : Susie's money. Give your answer in its simplest form.
  25. [S13, 21, Q3] Pedro and Eva do their homework Pedro takes 84 minutes to do his homework. The ratio, Pedro's time : Eva's time = 7 : 6. Work out the number of minutes Eva takes to do her homework. ............ minutes [21
  26. [S19, 43, Qi(i, iii)] The fares for the train journey are shown in the table below. From London to Marseille Standard fare Adult Child Premier fare (i) For the standard fare, write the ratio adult fare : child fare in its simplest form.
  27. [S19, 43, Qi(i, iii)] (iii) For one journey from London to Marseille, the ratio There were 220 adults in total on this journey. All of the children and 70% ofthe adults paid the standard fare. The remaining adults paid the premier fare. Calculate the total of the fares paid by the adults and the children.
  28. Q. The people who work for the company are in the following age groups. [3] Group A Under 30 years Group B 30 to 50 years Group C Over 50 years The ratio of the number in group A to the number in group B is 7 : 10. The ratio of the number in group B to the number in group C is 4 : 3. (i) Find the ratio of the number in group A to the number in group C. Give your answer in its simplest form.
  29. [W18, 42, Q] The family visit two waterfalls, the Humboldt Falls and the Bridal Veil Falls. The ratio of the heights, The Humboldt Falls are 220 m higher than the Bridal Veil Falls. Calculate the height of the Humboldt Falls. . m [21
  30. [W18, 43, Q2] (a) A school has 240 students. (i) Show that the number of boys is 115 .
  31. [W18, 43, Q2] (a) A school has 240 students. (ii) One day, there are 15 girls absent and 15 boys absent. Find the ratio girls : boys in school on this day. ..... ..... : [21 Give your answer in its simplest form.
  32. [W18, 43, Q2] (a) A school has 240 students. (iii) Next year, the number of students will increase by 15%. Calculate the number of students next year. [21

Need a Tutor or Coaching Class?

Post an enquiry and get instant responses from qualified and experienced tutors.

Post Requirement

Related PPTs

Upload PPTs

If you have your own PowerPoint Presentations which you think can benefit others, please upload on MyPrivateTutor. For each approved PPT you will get 100 Credit Points and 100 Activity Score which will increase your profile visibility.

Upload Now
Home > PowerPoint Slides > Numbers