MAG50105 Quiz 1- Real-World Applications of Numerical Expression

In a rapidly growing metro city, the population increases at the following rate.

• Year 1: 500,000

• Year 2: 520,000  

• Year 3: 545,000  

• Year 4: 575,000   

• Year 5: 610,000 

What will the population in year 6?

• 630,000

• 650,000

• 660,000

• 645,000

Answer explanation

Identify increases:

Year 1 to Year 2: +20,000

Year 2 to Year 3: +25,000

Year 3 to Year 4: +30,000

Year 4 to Year 5: +35,000

Determine the pattern:

Each year, the increase grows by 5,000.

Calculate the increase for Year 6:

Year 5 to Year 6: 35,000 + 5,000 = 40,000

Add the increase to the Year 5 population:

Year 5 population: 610,000

Year 6 prediction: 610,000 + 40,000 = 650,000

Emily is saving money to buy a toy. She saves a different amount of money each week.

In Week 1, Emily saves $20.

In Week 2, she saves $18.

In Week 3, she saves $16.

In Week 4, she saves $14.

If Emily continues to save money in this manner, how much money will she save in Week 5?

• 12

• 16

• 13

• 10

Answer explanation

Solution -

Week 1: $20

Week 2: $18 (which is $2 less than Week 1)

Week 3: $16 (which is $2 less than Week 2)

Week 4: $14 (which is $2 less than Week 3)

The amount of money Emily saves each week decreases by $2. 

To find the amount saved in Week 5, subtract $2 from the amount saved in Week 4.

Amount saved in Week 5=14−2=12 So, Emily will save $12 in Week 5.

Find the next term in the sequence: 

10, 12, 9, 11, 8, 10……

• 13

• 7

• 11

• 9

Answer explanation

Given Pattern : 10, 12, 9, 11, 8, 10……

Solution: 7

• 10 + 2 = 12

• 12 - 3 = 9

• 9 + 2 = 11

• 11 - 3 = 8

• 8 + 2 = 10

The pattern alternates between adding 2 and subtracting 3. Thus, the next term is 10 - 3 = 7.

Find the next 2 terms in the sequence: 

2, 1, 4, 3, 6, 5, 8, 7, .... , ....

• 9 , 10

• 10 , 12

• 10 , 9

• 9 , 11

Answer explanation

Given Pattern: 2, 1, 4, 3, 6, 5, 8, 7, .........

This pattern consists of – 

Pattern A: 2, 4, 6, 8….

Next term of pattern A = 10

Pattern B: 1, 3, 5, 7…..

Next term of pattern B = 9

So the next two terms are 10,9.

An ice cream cone contains 100 grams of ice cream. Each hour, 50% of the remaining ice cream melts. After how many hours will only 12.5 grams of ice cream remain?

• 2 hours

• 2.5 hours

• 3 hours

• 1 hour

Answer explanation