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Fractions OF THE REMAINDER HANDOUT FOR STUDNETS 260918

Of the remainder

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Fractions OF THE REMAINDER HANDOUT FOR STUDNETS 260918

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  1. Name: _____________________________________ Date:_________________ Mathematics OF THE REMAINDERS SUMS: When working these types of sums, you should, ➢Read the sum carefully ➢Analyze (observe and think deeply about) the information given ➢Pay attention to and underline oWhat is given oWhat is asked for ☺ ☺ Ask yourself: 1)Is a tangible whole given (a TOTAL that you can see, touch or count)? 2)If a tangible WHOLE is NOT given, you need to use the WHOLE as a CONCEPT. WHOLE AS A CONCEPT: 1 OR numerator equal to denominator (E.g. 12 12 ,100 100 ,20 20,8 8 ,15 15 ) OR 100% l Think about the remainder:Whenever you see “of the remainder” it means that there was a remainder after the first OF THE REMAINDER: WHEN THE WHOLE IS GIVEN amount was shared or given out. (the amount left after the first sharing)

  2. OF THE REMAINDER: WHEN THE WHOLE IS GIVEN Clive picked 65 mangoes from his tree. He gave his friend 2/5, made chow with 2/3 of the remainder and amchar with the rest. 1)How many mangoes he gave his friend? ___________ 2)How many he made mango chow with? _______________ 3)How many he made amchar with? Mr. Joe receives a monthly salary of $12 000. Mr. Joe spends 1/3 of his salary on rent and ¼ of the remainder of his salary on food. a)How much does Mr. Joe spend on rent?____________ b)How much is spent on food?______________ c)Mr. Joe banks 35% of his remaining salary each month. How much is his monthly savings?__________ A farmer harvested 640 sweet peppers from his garden. He threw away 1/10 which was spoilt, gave his neighbours 1/3 of the remainder and sold the rest. Calculate the number of sweet peppers: a)He threw away: ___________ b)He gave the neighbours: _________ c)He sold:___________ Robby shared 540 salt prunes with his cousins. Kate got 1/3 of the salt prunes, Tim got 3/5 and Indra got ¼ of the remainder. Calculate how many salt prunes Indra received. Ans:__________________________

  3. Anya collected 120 stamps. She sold 2/3 of her stamps and gave 1/5 of the remainder to her friend Ranna. With how many stamps was she left? Ans:_______________________ A farmer picked 480 mangoes from his trees on his farm. He gave his neighbour Thomas 1/5 of the mangoes, his best friend, Joseph 331 Calculate: a)The number of mangoes Joseph got Ans:______________________ b)The total number of mangoes sold by the farmer. Ans:______________________ Mitch had a total of 520 mangoes, he gave Joe 20% of the mangoes. Amy received 5/8 of the remainder. He sold the balance for $0.50 per mango. How much money did he earn from selling the mangoes? Ans:______________________ 3% of the remainder and sold 121 2% of the rest.

  4. OF THE REMAINDER: WHEN THE WHOLE IS NOT GIVEN Nadira spent ¼ of her all her money on shoes. She spent 50% of the remainder on clothes. a)What fraction was spent on clothes? Ans:_______________________________ b)What fraction remained after spending on clothes? Ans:_______________________________ Josh gave Aden 1/5 of his apples and Kaleen 0.375 of the remainder. a)What fraction of the apples did Kaleen get? Ans:_____________________________________ b)What fraction of the apples did Josh have left? Ans:_____________________________________ Jim gave Jane 25% of his mangoes and sold 33 1/3 % of the remainder. Calculate: a)What fraction did he sell? Ans:__________________________ b)What fraction of mangoes did he remain with? Ans:__________________________ Emily gave Melani ¼ of her pizza. Her brother took 0.33..of the remainder. a)What fraction did the brother take? Ans:___________________________ b)What fraction did Melani get for herself? Ans:____________________________

  5. OF THE REMAINDER AND FINDING THE WHOLE Ram gave his brother ¼ of marbles and his friend 5/12 of the remainder. Ram remained with 35 marbles. Calculate how many marbles Ram had before sharing. Ans:______________________________ Ranjit bought a bag of chocolates. He sold 1/3 and gave ¼ of the remainder to his friends. He was left with 85 chocolates. How many chocolates did Ranjit buy at first? Ans:______________________________ After sharing 0.25 of the mangoes from his tree, uncle John sold 1/3 of the remainder at the market. He then remained with 12 mangoes. a)What fraction of the mangoes remained? Ans:__________________________ b)How many mangoes did he have at first? Ans:__________________________ Hank spent 3/5 of his allowance on snacks, ¼ of the remainder on food and saved the rest which was $24.00 a)What fraction did he save? Ans:__________________________ b)How much money did he have at first? Ans:___________________________

  6. Anna gave 3/5 of her oranges to Nicky and ate ¼ of the remainder. If she now has 30 oranges, calculate how many oranges she had at first. Ans:_____________________ Kate had a certain sum of money. She gave her brother 1/3 of her money and her best friend Ken 3/8 of the remainder. If Kate had $60.00 remaining, how much money did she have at first? Ans:________________________ Tania had a certain sum of money. She gave 1/5 to her sister, Lucy and ½ of the remainder to her friend, Lin and kept $312.00 for herself. a)What fraction of the money did Tania keep for herself? Ans:_______________________ b)How much money did Lin receive? Ans:_____________________

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