MAG50104 Quiz 1 - Writing and Solving Multi-Level Expressions

What are the next two terms of the following pattern?

3 , 7 , 11 , 15 , 19 , _ , _

• 22 , 26

• 23 , 27

• 23 , 28

• 22 , 27

Answer explanation

Pattern: 3,7,11,15,19…… 

Find the rule with which the pattern changes.

Each number in the sequence increases by 4. 

To find the next 2 terms, continue the pattern by adding 4 repeatedly.

Start with the last term given .

19 + 4 = 23  

23 + 4 = 27 

Find the 10th term of the sequence
1,3,5,7,9…… , _

• 11

• 19

• 17

• 21

Answer explanation

Pattern: 1,3,5,7,9…… 

Find the rule with which the pattern changes.

Each number in the sequence increases by 2. 

To find the 10th term, continue the pattern by adding 2 repeatedly.

Count the Terms:

Start with the last term given .

9 + 2 = 11 (6th term)

11 + 2 = 13 (7th term)

13 + 2 = 15 (8th term)

15 + 2 = 17 (9th term)

17 + 2 = 19 (10th term)

Find the 8th term of the sequence

2,4,6,8,10…… , _

• 20

• 14

• 16

• 18

Answer explanation

Pattern: 2,4,6,8,10……

Find the rule with which the pattern changes.

Each number in the sequence increases by 2. 

To find the 8th term, continue the pattern by adding 2 repeatedly.

Count the Terms.

Start with the last term given.

10 + 2 = 12 (6th term)

12 + 2 = 14 (7th term)

14 + 2 = 16 (8th term)

What are the next two terms of the following pattern?

30, 27, 24, 21, 18, _ , _

• 9 , 6

• 12 , 15

• 12 , 9

• 15 , 12

Answer explanation

Pattern: 30, 27, 24, 21, 18..

Find the rule with which the pattern changes.

Each number in the sequence decreases by 3. 

To find the next 2 terms, continue the pattern by subtracting 3 repeatedly.

Start with the last term given.

18 - 3 = 15

15 - 3 = 12

What are the next two terms of the following pattern?

3, 9, 27, 81, _ , _.

• 729 , 243

• 81 , 243

• 729 , 2187

• 243 , 729

Answer explanation

Pattern: 3, 9, 27, 81…

Find the rule with which the pattern changes.

Each number in the sequence is the previous number multiplied by 3. 

To find the next 2 terms, continue the pattern by multiplying 3 repeatedly.

Start with the last term given.

81 x 3 = 243

243 x 3 = 729

What are the next two terms of the following pattern?

800 , 400 , 200 , 100 , _ , _.

• 200 , 400

• 50 , 25

• 25 , 50

• 80 , 50

Answer explanation

Find the next 2 terms 

1, 4, 9, 16, 25, _, _.

• 50 , 100

• 49 , 64

• 49 , 36

• 36 , 49

Answer explanation

Pattern: 1, 4, 9, 16, 25……

Find the rule with which the pattern changes.

Each number in the sequence is the square of the number starting from 1. 

To find the next 2 terms, continue the pattern by squaring the next 2 numbers.

6 x 6 = 36

7 x 7 = 49

Find the next 2 terms 

1, 8, 27, 64, _, _.

• 216 , 125

• 81 , 100

• 1 , 8

• 125 , 216

Answer explanation

Pattern: 1, 8, 27, 64……

Find the rule with which the pattern changes.

Each number in the sequence is the cube of the number starting from 1. 

To find the next 2 terms, continue the pattern by cubing the next 2 numbers.

5 x 5 x 5 = 125

6 x 6 x 6 = 216

Find the next 4 terms

2 , 3 , 5 , 7 , 11 , 13 , 17 , _ , _ , _ , _.

• 19,23,29,31

• 19,21,23,25

• 19,20,21,22

• 19,21,23,27

Answer explanation

Pattern: 2,3,5,7,11,13,17…

This is a prime number sequence.

The next four prime numbers are –

19,23,29,31