Venn Diagram and Percentage Calculation

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24 Questions

What percentage of students in the English class are not in Augustine, Deacon, or Muluridji?

37.5%

What is the overall percentage discount on the guitar?

31.25%

What is the final selling price of the computer after both the increase and decrease?

$1,275

What is the original price of the shirt?

$48

What percentage of people do not like chocolate or strawberry ice-cream?

20%

What is the probability that a student selected at random from the class is in Augustine?

1/5

What is the overall percentage change in the price of the computer?

2.5%

What is the discounted price of the guitar after the first discount?

$341

If a store is having a 15% sale, and a shirt originally costs $80, how much will you pay for the shirt after the discount?

$76

A book costs $50, and after a 20% increase, it costs $60. What percentage increase is this?

20%

In a class, 30% of students like football, and 20% like cricket. If 10 students like both, how many students are there in the class?

100

A basketball increased in value from $50 to $80 after it had been signed by Patty Mills. What is the percentage increase?

50%

At a school, 15% of 120 students were absent. How many students were absent?

24

What is the probability that a toddler, selected at random, likes oranges or pears?

More than 0.5

A surfboard originally costs $2800, and there is a 20% discount. What is the sale price of the surfboard?

$2240

If 27 students out of 180 are left-handed, what percentage of students are left-handed?

18%

What is the mode of the number of books read by students?

9

If a toddler is selected at random, what is the probability that they like oranges?

7/24

What is the effect of adding a student who has read 31 books to the data set on the mean?

It will increase

What is the probability of selecting a green ticket from the box?

5/12

What is the percentage decrease in the price of the shirt?

20%

What is the percentage increase in the population of the town?

20%

What will be the new price of the pie after the 6% increase?

$5.25

What is the probability that a person surveyed likes chocolate ice-cream?

0.8

Study Notes

Probability and Statistics

  • To draw a Venn diagram, it's essential to determine the percentage of people who don't like chocolate or strawberry ice-cream.
  • The probability of a student selected at random from a class being in McAuley is determined by finding the probability that a student is not in Augustine, Deacon, or Muluridji.

Discounts and Percentages

  • If a guitar's original price is $440, and it's discounted by 25%, then further discounted by 10%, the final price and overall percentage discount can be calculated.
  • A store raises the price of a computer by 15% and then reduces it by 10% during a sale; the final selling price and overall percentage change in the price can be determined.
  • A shirt's original price can be found if it's discounted by 15% and the new price is $41.65.

Data Analysis

  • The mean, mode, and median of a dataset can be calculated, and the range and effect of an outlier on these values can be determined.
  • The probability of selecting a green ticket from a box of red, black, and green tickets can be calculated.

Percentage Changes

  • The percentage decrease in the price of a shirt from $40 to $32 can be calculated.
  • The percentage increase in a town's population from 20,000 to 24,000 can be calculated.
  • The new price of a pie after a 6% increase from $5 can be calculated.

Surveys and Venn Diagrams

  • A survey determines which flavors of ice-cream a shop should sell; 80 people were surveyed, and Venn diagrams can be used to represent the findings.
  • The probability of a toddler liking oranges or pears can be calculated from survey data.

Revision Sheet

  • Trevor's sports shop has a sale of 20% off surfboards; the discount and new price can be calculated.
  • The percentage of left-handed students in a group and the percentage of right-handed students can be calculated.
  • The number of absent students if 15% of 120 students are absent can be calculated.
  • The increase and percentage increase in the value of a basketball signed by Patty Mills can be calculated.

Quiz questions on drawing a Venn diagram and calculating percentage of people who don't like certain ice-cream flavors and a separate question on fractions of students in different classes.

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