Jai's Activity Sheet Stage 7 Fractions Overview

Fractions, Proportions and Ratios

Stage 7 Overview 

I can solve stage 7 problems.  

Learning Outcome: I can...	Problem to solve	Thinking and Answer
Use a range of  multiplication and  division strategies  to solve problems  with fractions,   proportions   and ratios.	1. Convert the following improper fractions to mixed number  fractions:  a.214 = 5 ¼ b. 152 = 7 ½ C.2710 = 2 7/10
	2. Convert the following mixed numbers into improper fractions: a. 4 23  b. 3 12 = 7/2 c. 3 35 18/5
	3. Write these fractions in their simplest form:  a.515 1/3 b. 1025 2/5 C.416 1/4

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Fractions, Proportions and Ratios  

	4. Find the missing number in these to make these fractions  equivalent:  a.25 = ?20 = 5 b. 58 = ?40 =10 c.56 = 25? 5
	5. In a bag of marbles, we find blue  marbles, red marbles, and yellow  marbles in a ratio of 6 : 1 : 2.  If the bag of marbles contains 22  yellow marbles, how many marbles  are there in total?	Thinking:   blue red and yellow in ratio of 6:1:2. 22 yellow  then how many in totally 22 divided by 2 = 11 meanin they times it by 11, so then there are 99 Answer: 99
Convert and   rename common  fractions, decimals  and percentages.	6. Fill in the blanks so the fractions, decimals and percentages are all  equivalent:  Fraction Percentage Decimal  1  2 0.5 = 1.05 75% 0.75 = 0.50 10% = 10??? 0.25 = 0.5

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Fractions, Proportions and Ratios  

Can find fractions  of whole numbers  using multiplication  and division facts.	7. There are twenty one bottles of  honey for sale and three sevenths  have sold? How many jars have  been sold?	Thinking:  21 bottle 3/7 sold are sold. 3x7=21 so 7 are sold Answer 7
	8. There are forty trees in the orchard  and four fifths of them are apple  trees. The rest are pear trees.   How many apple trees are there?	Thinking:  40 trees ⅘ are apple  Rest are pear Answer: 32 are apple and 8 are pear
Can add and   subtract fractions  with the same   and different   denominators.	9. Rachel ate one eighth of the cake.  Leo ate five eighths of the cake.  How much cake is left?	Thinking:  rachel ate ⅛ leo ate ⅝ 6/8 gone Answer: ¼
	10. In the surfing shop, 25 of the  surfboards are shortboards and 310 are longboards. What fraction are  either shortboards or longboards?  Show your working out.	Thinking:  ⅖ shortboard 3/10 long 7/10 Answer: 7/10 total 3/10 short 4/10 long

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Fractions, Proportions and Ratios  

Compare fractions  using < > =	11. Use the < > = signs to compare these fractions:  a.36<26  b. 710<910  c.36<12  d. 58<34
Order mixed   fractions.	12. Put these fractions in order from smallest to largest. 17 5 3 1 2 14 4     48 6 4 2 4 3???

Hello! These are a set of challenges set to me by my teacher, this sheet contains a lot of fractions, in fact its even stage 7! 

If you need help for kumon maybe you could take some notes. (all of them aren't exact so feel free to correct me)