Algebra
Real Life Context
Fun with Bala
Mysterious Topic
Problem Sums
100

You deposit $10,000 into the United Bank Of BBSS. 

If the bank gives you an interest of x% per 6 month.

You will get $9000 at the end of 5 years. Find X.

X=9

100

The sum of the age of all the elderly living in the Old Folks Home is 1156. Assuming that there are 17 elderly in the Home, find the average age of the elderly.

68

100

Bala finds $16 per step he takes and he found $8000 at the end of the day.

 Assuming he took X amount of step. Find X.

X=500

100

Find the average of the first ten prime numbers.

12.9

100

State the y intercept of the striaght line y= 8x-3.

-3

200

A block gives out 10 gems if you break it. 

You break 20 block per second. 

By the end of 1 day you will get X amount of gems. Find X.

X=17280000

200

Jeremy receives a weekly pocket money of $28.

If he decides to save 20% of it, find his

a) savings in a year,

b) spending in a year.

Assuming that there are 52 weeks in a year.

a) $291.2

b) $1164.8

200

Bala walks into a store A to buy some prata. One prata is $3. They are having a sale “Buy two get one free for the price of 4” 

On the other hand, Store B is selling pratas at a price of one for $5. 

If Bala want 69 pratas, which store should he buy from for the most value.

Store A

200

Jeremy needs 200 pieces of ribbon, each of length 110cm, to decorate a room for a party.

Ribbons is sold in rolls of 25m each.

Find the number of rolls of ribbon Jeremy needs to buy.

10

200

Does the equation y=-5x+3 cut through the origin (0,0)?

No

300

Terence ran for the Class President Election in Class 2A4. 

Terence has 6 votes, Ben has 7 votes, John has 3 votes and Jane has 24 votes.

In an attempt to overtake Jane in the numbers of votes and win the Class President Election, Terence needs to buy X voters over from Jane. 

What is the minimum value of X?

X=10

300

The winning prize for the Squid Game is ₩45,600,000,000. 

Given that the conversion rate is $1SGD = ₩881.20, calculate the amount of the winning prize in SGD.

Correct your answer to 3 s.f.

$51,700,000

300

Bala went to the Museum of BBSS to buy a artifact.

All of the artifacts cost $50000 each.

He went to buy 2 artifacts and sold 1 of his artifact he bought to the black market at $163589. 

How much would he have profited?

*Hint* (Profits = Total amount gained-total amount spent)

$63589

300

In an election, Candidate A gotten 75% of the total valid votes counted. 

15% of the total votes were declared invalid.

The total number of votes casted is 560000.

Find the amount of votes polled in favour of Candidate A.

357000

300

A shopkeeper bought 600 oranges and 400 bananas. He found 15% of oranges and 8% of bananas were rotten. 

Find the percentage of fruits in good condition.


87.8%

400

A forest in 1990 had approximately 2500x trees. However, in 2020, the numbers have dropped to 25x.

(i) Find the difference in terms of x for the number of trees in the forest in 1990 and 2020.


(ii) Given that x = 10000, find the percentage decrease of the number of trees in the forest from 1990 to 2020.

(i)2475x


(ii)99%

400

A property agent charges a commission of 5% on the first $50,000 and 2.25% on the remaining selling price of a piece of property. 

Given that the agent sells a property for $240,000, find the amount of commission he will receive.

$6775

400

Bala buys a new car and it costs $127,000.

After one year, its value is $119,380. 

Find the percentage decrease in the value of the car.

6%

400

Donald Trump orders one bowl of noodles at a restaurant which offers a 10% discount.

There is a service charge of 10% and GST is at 7%. 

Given that he pays a total of $7.94

Find the marked price of the noodles. (Round off to 3s.f.)

$7.54

400

Lucy and Betty used $61.20 each to buy some egg tarts. 

Lucy has a 15% discount coupon and bought 6 more egg tarts than Betty.

What is the cost of egg tart with no discount?

$1.80

500

Josette's weekly income is $69x. 

She spent $9x on a handbag and gave 30% of the remaining to Bala. She was being robbed of $38 but Janice gave her $42. She then deposited the remaining amount into her bank account.

a) Find in terms of x the remaining amount she has.

b) The following day, Josette is given $(10x + 7) by her parents. She then deposits this money into her bank account. 

Let x be 50 and find how much money she has in her bank account in total.

a)$(42x+4)

b)$2611

500

Master Oogway goes to the market to buy food for his family consisting of his wife and 2 children, Bob and Jeff. 

Jeff eats (p+40) grams of food whereas Bob only eats (p+12) grams of food. His wife and him eat (p+69) grams of food each. 

Let p be 20. Every 3g of food costs $0.5. 

Find the amount of money Master Oogway spent to buy food for his family.

$45

500

Bala saves $500,000 in his bank.

Every year, he gets 5% interest of the total value in his bank.

How much will he have in the bank at the end of 5 years?

(Round off to 3s.f.)

$638000

500

You have 10000 dollars as your budget. When hiring Josette Lim, your budget decreases by 10%.  

But if you hire Jin, your budget decreases by $2000.

You hired both of them and bought a death insurance for both of them for free.

You will gain 1500 dollars if any of them dies each. 

If Josette Lim kills Jin, how much money would you have left?

$8500

500

Thomas The Train was scheduled to reach the train station at 5pm. He left for the train station at 12pm.

Unfortunately Thomas is a steam engine and had to refill his coal every 1 hour, which would take 15min.

 If he does not reach the train station on time, every hour that he is late will cost the company a loss of $200.

There were 500 passengers waiting to board Thomas and they paid $30 per ticket. How much money did the train company earn?

$14750

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