My level 4 stage 7

 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 = 5¼  b. 152 = 7½  c.2710 = 2 7/10
	2. Convert the following mixed numbers into improper fractions: a. 4 23 14/3 b. 3 12 7/2 c. 3 35 18/5
	3. Write these fractions in their simplest form:  a.515 ⅓  b. 1025 2½ c.416 ¼

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Fractions, Proportions and Ratios  

	4. Find the missing number in these to make these fractions  equivalent:  a.25 = 1320 b. 58 = 2040  c.56 = 2530
	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:  6+2+1=9 + 22=31 Answer:31?
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  2.05-1=1.05 75%-10%=65%  0.50-0.25=0.25

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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 divided by 7 is 3 and 3x3=9 also 3x7=21 Answer:9
	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 divided by 5=8  8x4=32 Answer:32
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:  ⅛ + ⅝ = 6/8  Answer:6/8
	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: ⅖x2=4/10 shortboards  3/10 longboards Answer:7/10

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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. 4/8, 21/4,  3, 4, 4, 17