Fractions
Pure randomness (Math)
Case Study 1
Case Study 2
Case Study 3
100

Find the value of (1-½)(1-⅓)(1-¼)...(1-1/100)

1/100

100

Find the value of 1+2-3+4-5+...-9+10

7
100

Why candies and sweets are usually placed near the cashiers in a supermarket?

most customers are families, kids will ask their parents for sweets while queueing

100

Why the government has not fully banned tobacco?

tax revenue//encourage illegal markets to emerge//citizens’ opposition

100

Will the current accident of MTR lower the demand of people taking MTR?

Yes????????

200

If 1/a:1/b:1/c= 3:4:5, what is a:b:c?

20:15:12

200

What is the least multiple of 17 that is greater than 1234?

1241

200

Why wouldn’t government print money to pay off debt? (One word is enough)

Hyperinflation.

(supply of money increases suddenly

200

When it is known that there will be inflation in the future, will people’s current consumption increase?

Yes

200

If a tax is imposed on a good, how would the firms’ supply of the good change?

Decreased

300

There are 31 red balls, 14 blue balls and 9 yellow blues. How many balls does a blindfolded person have to pick out in order to have at least 2 balls of different colours?

32

300

Find the number of numbers smaller than 105 that is either a multiple of 3, 5 or 7.

57

300

If the price of petroleum increases, what will happen to the GDP of an economy?

(Assuming it is not a petrol-producing country)

Decrease

300

The probability that Linda answers a question correctly is ¾.  If 50 marks will be awarded for a correct answer while 30 marks will be deducted for a wrong answer, find the expected marks Linda can get in answering 2 questions.

60

300

How do we calculate unemployment rate?

no. of unemployed person / labour force

400

A secretary placed three letters randomly into three envelopes. What is the probability that at least one of the recipients gets his letter?

2/3

400

The surface area of a cube is 1734 square units. What is its volume?

4913

400

Sam earns an income of $ 200,000 tax. What is the amount of tax that he needs to pay?

Refer to picture on screen

$22000

400
  1. With given resources and technology, and assuming that only two goods (say, apples and oranges) are produced, an economy can produce various combinations of the two goods. The equation showing these various possible combinations is 12y=36-x2. If the price of an apple and an orange is the same ($5), and by using the equation, what is the greatest revenue generated for the economy?


$30

500

If 1/a:1/b:1/c = 4:7:9, then what is the ratio of a:b:c in FRACTIONS?

1/4:1/7:1/9

500

What integer does K represent?

0 → 2 → 24 → 252 → 3120 → K

Ans:  46650 (nn-n)

500

Assume the expected return for a $3000 investment for one year is $30 in 2008. $30 can buy 10 apples in that year. However, in 2010, $30 can only buy 9 apples. What is the actual real interest rate if the sum is invested for 2 years?

-9.11%

500

Suppose the government wants to 派糖of $1000 to every HK citizen who is 18 years old or above. If every individual will save 10% of the transfer payment, and spend the rest which will directly increase HK’s GDP, what is the maximum increase in HK’s GDP contributed per individual citizen?

$10000