Fractions, decimals and percentages

Transcription

1 Fractions, decimals and percentages 1. What is 1/ of 18?. What is 1/ of 8?. What is 1/ of 6?. What is 1/ of?. What is 1/6 of 18? 6. What is 1/ of 1? 7. What is 1/ of 1? 8. What is 1/ of 16? 9. What is 1/ of 1?. What is 1/ of? 1. What is / of 18?. What is / of 8?. What is / of 6?. What is / of?. What is /6 of 18? 6. What is / of 1? 7. What is / of 1? 8. What is / of 16? 9. What is / of 1?. What is / of? 1. What is / of 7?. What is / of 6?. What is / of 81?. What is / of 6?. What is /6 of? 6. What is / of 7? 7. What is / of 7? 8. What is / of 9? 9. What is / of 19?. What is / of 8? 1. What is / of 168?. What is / of 18?. What is / of 16?. What is / of?. What is /9 of 8? 6. What is / of 1? 7. What is / of 61? 8. What is / of 16? 9. What is / of 11?. What is / of 00? Copy and complete the table. Use the fractions you know to convert these fractions to decimals. 1) ) 9) 1) ) 6) ) 1) 0 ) 7) 11) 1) Convert these fractions to decimals to fractions /. 7/0 ) 8) 1) 16) 8 0 0

2 . 9/00. /0. 7/ / 7. 9/0 8. 1/0 9. 1/00. 6/00 Convert these fractions to percentages 1. 1/. /0. 1/0. 8/. 9/ 6. 6/ 7. 6/ / 9. 1/0. / / 1. 1/16 1. / 1. 19/ /19 Convert these fractions to decimals (you can put these into simplest form first if you need to). 1. 1/. /0. 1/0. 8/. 9/ 6. 6/ 7. 6/ / 9. 1/0. / / 1. 1/16 1. / 1. 19/ /19 Percentage of amounts 0% of 160 = % of 160 = 7% of 160 = 1% of 160 = % of 160 = % of 160 = 0% of 0 = % of 0 = 7% of 0 = 1% of 0 = % of 0 = % of 0 = 0% of 80 = % of 80 = 7% of 80 = 1% of 80 = % of 80 = % of 80 = 0% of 8 = % of 8 = 7% of 8 = 1% of 8 = % of 8 = % of 8 = 1 x = 17 x = 6 x = 78 x =.8 x = 78 x = 89 x = 97 x = 1. x = x = 19 x = 1 x =. x = x = 79 x = x = 68. x = 1. x 00 = 6 x 00 = 96 x 00 = 71 x =.61 x 00 = 7 x 00 =.7 x 00 = 8 x =. x 00 = 7 x 00 =.09 x 00 = 96 x = 17. x 00 = 1 x 00 = 9.87 x 00 = $1 x = 1. x = 7 x = 86. x = 6 x = 6 x = x = 7 x = 786 x 0 = 8 x 0 = 67 x 0 = 7.6 x 0 = x 0 = 7 x 0 =. x 0 = 8 x 0 = 1 x 0 = 8 x 0 = 6 x 0 = 61 x 0 = 1. x 0 = 8 x 0 = 196 x 0 = x 0 = 18 x = 97 x = 11 x = 8 x = 7 x = 9 x = 77 x = 6 x = 8 x = 99 x = 8.8 x = 18 x = 61 x = 79 x = 61. x = x = x = 89 x 0= 9.68 x =

3 x = 8 x = x 1 = x = 6 x = x 7 = 1 x = x 7 = 7 x = x = x 6 = x 1 = 1 x = x = x 8 = x 9 = x 7 = 9 x = x = x 11 = x 11 x x = x x 1 = 8 x 1 = 1 x 1 = 1 x = 6 x 1 = 1 x 7 = 1 x = 1 x 7 = 7 x 1 = x 1 = 1 x 6 = 1 x 1 = 1 x 1 = x 1 = 1 x 8 = 1 x 9 = 1 x 7 = 9 x 1 = 1 x = 1 x 11 = x 1 11 x 1 1 x = x 1 x = 8 x = x 1 = x = 6 x = x 7 = 1 x = x 7 = 7 x = x = x 6 = x 1 = 1 x = x = x 8 = x 9 = x 7 = 9 x = x = x 11 = x 11 x x = x x = 8 x = x 1 = x = 6 x = x 7 = 1 x = x 7 = 7 x = x = x 6 = x 1 = 1 x = x = x 8 = x 9 = x 7 = 9 x = x = x 11 = x 11 x x = x x = 8 x = x 1 = x = 6 x = x 7 = 1 x = x 7 = 7 x = x = x 6 = x 1 = 1 x = x = x 8 = x 9 = x 7 = 9 x = x = x 11 = x 11 x x = x Mental test support 1. A teacher interviewed pupils to review their progress. Each pupil was allocated seven minutes. What was the minimum number of half hour lessons needed to carry out all of the interviews?. A teacher interviewed 7 pupils to review their progress. Each pupil was allocated seven minutes. What was the minimum number of half hour lessons needed to carry out all of the interviews?. A teacher interviewed 6 pupils to review their progress. Each pupil was allocated seven minutes. What was the minimum number of half hour lessons needed to carry out all of the interviews?. Three fifty-five seater coaches are booked for a school trip. Five classes of twenty seven pupils, five teachers and eight parents are booked on the trip. How many more pupils could go on the trip?. Three fifty-five seater coaches are booked for a school trip. Five classes of twenty one pupils, five teachers and nine parents are booked on the trip. How many more pupils could go on the trip? 6. Three fifty-five seater coaches are booked for a school trip. Five classes of twenty eight pupils, six teachers and seven parents are booked on the trip. How many more pupils could go on the trip? 7. A school s end of key stage English test result for a class of twenty five pupils, showed that twenty four pupils achieved level and above. What percentage was this? 8. A school s end of key stage English test result for a class of twenty pupils, showed that fourteen pupils achieved level and above. What percentage was this? 9. A school s end of key stage English test result for a class of twenty five pupils, showed that seventeen pupils achieved level and above. What percentage was this?. Four hundred pupils correctly completed a sponsored spelling test of thirty five words. Each pupil was sponsored at seven pence a word. How much money did the pupils raise in total?

4 11. five hundred pupils correctly completed a sponsored spelling test of sixty five words. Each pupil was sponsored at eight pence a word. How much money did the pupils raise in total? 1. Six hundred pupils correctly completed a sponsored spelling test of forty five words. Each pupil was sponsored at nine pence a word. How much money did the pupils raise in total? 1. What is 0.0 multiplied by. Give your answer as a decimal. 1. What is 0.08 multiplied by. Give your answer as a decimal. 1. What is 0.1 multiplied by 1. Give your answer as a decimal. 16. In a group of pupils 6. per cent passed a GCSE examination. What fraction did not pass? Give your answer in its lowest terms. 17. In a group of pupils 6 per cent passed a GCSE examination. What fraction did not pass? Give your answer in its lowest terms. 18. In a group of pupils 1. per cent failed a GCSE examination. What fraction did not pass? Give your answer in its lowest terms. 19. Pupils spent twenty five hours in lessons each week. eight hours per week were allocated to English. What percentage of lesson time per week was spent on other subjects? 0. Pupils spent twenty five hours in lessons each week. nine hours per week were allocated to English. What percentage of lesson time per week was spent on other subjects? 1. Pupils spent twenty hours in lessons each week. seven hours per week were allocated to English. What percentage of lesson time per week was spent on other subjects?. Four fifths of a group of one hundred and seventy five pupils took part in voluntary work. How many pupils was this?. Three fifths of a group of two hundred and five pupils took part in voluntary work. How many pupils was this?. Two fifths of a group of one hundred and ninety five pupils took part in voluntary work. How many pupils was this?. A teacher completed a claim form for the number of miles travelled to and from six ICT training sessions. The journey one way was seventeen and a half miles. What was the total number of miles claimed? 6. A teacher completed a claim form for the number of miles travelled to and from six ICT training sessions. The journey one way was seventeen and a half miles. What was the total number of miles claimed? 7. A teacher completed a claim form for the number of miles travelled to and from six ICT training sessions. The journey one way was seventeen and a half miles. What was the total number of miles claimed? 8. A pupil scored 71 per cent in a test. In a later test the pupil scored 16 out of. What was the difference between the percentage scores obtained by the pupil in the two tests? 9. A pupil scored 68 per cent in a test. In a later test the pupil scored 1 out of. What was the difference between the percentage scores obtained by the pupil in the two tests? 0. A minibus travelled two hundred miles and used 0. litres of fuel per mile. Fuel cost eighty four pence per litre. What was the cost of the journey? 1. A minibus travelled three hundred miles and used 0.7 litres of fuel per mile. Fuel cost eighty five pence per litre. What was the cost of the journey?. A test takes one hour fifty minutes. A pupil is allowed ten percent extra time. The test starts at thirteen thirty, at what time must the pupil finish the test? Give your answer using the twenty four hour clock.. A test takes one hour thirteen minutes. A pupil is allowed twenty percent extra time. The test starts at ten forty, at what time must the pupil finish the test? Give your answer using the twenty four hour clock.

5 Homework for Statistics support For questions 1, refer to the box & whisker graph below which shows the test results of a math class. Test Scores (as %) for 6 th Period What was the high score on the test?. What percent of the class scored above a 7?. What was the median score on the test?. What percent of the class scored between 88 & 96? For questions the next questions refer to the box & whisker graph below that shows how much time was spent per night on homework for sophomore class at a certain high school during September. Average Minutes Per Night Spent On Homework What percent of the sophomores spend more than 60 minutes on homework per night? 8. What is the range of times that the middle 0% of the sophomores spend on homework per night? 9. How many sophomores do not do homework?. What percent of the sophomores spend less than 0 minutes per night on homework? 11. Would you expect the mean number of minutes per night to be higher or lower than the median? Explain.

6 For questions 1, refer to the box & whisker graphs below that compare homework time per night with TV time per night for the same group of sophomores. TV & Homework Minutes per Night Time Homework TV Time What percent of the sophomores watch TV for at least 1 minutes per night? 1. What is the rd quartile for the TV time data? For questions the next questions, identify if each statement is true, false, or cannot be determined. homework. 1. Some sophomores didn t watch TV that month. 16. The TV box & whisker graph contains more data than the homework graph. 17. % of the sophomores spend between 8 & 60 minutes per night on 18. 1% of the sophomores didn t watch TV that month. 19. In general, these sophomores spend more time watching TV than doing homework. 0. The TV data is more varied than the homework data. 1. The ratio of sophomores who spend more than 1 minutes per night watching TV to those who spend less is about :1.. sophomores watch TV.. Twice as many sophomores watch TV for more than 1 hour than do homework for more than 1 hour.. Suppose that one family kept track of how many DVDs they rented each month for a two year period. The numbers for each month are shown in the table below. Make a box & whisker graph from this data.

7 J F M A M J J A S O N D J F M A M J J A S O N D For question, refer to the box & whisker graphs below that show the average monthly high temperatures for Milwaukee, Wisconsin & Honolulu, Hawaii. Average Monthly High Temperatures Milwaukee Honolulu. Write a short paragraph comparing the temperatures in both cities.

8 6. In the table below, the average monthly temperatures for Pullman and Seattle are shown. Draw a box & whisker graph (using the same scale) for each city from the data. Then write a short paragraph summarizing what your graphs tell you. Month Pullman Averages Seattle Averages January..7 February March 7.0. April.9 9. May June July August September October November.7.0 December For questions 7, refer to the following data that shows the total number of points scored in each of the rose bowls from 1970 until 006. Year Total Points Year Total Points Year Total Points Year Total Points

9 Make a box & whisker graph for the total points scored in each decade. Make sure your graphs are drawn with the same scale so you can compare them. Refer to your box & whisker graphs to answer the following questions. 8. In which decade is the total points scored the most consistent? 9. In which decade is the total points scored the most diverse? 0. In which decade is the largest number of total points scored? 1. In which decade is the rd quartile the highest?. In which decade is the median the highest?. In which decade is the 1 st quartile the highest?