Algebra 3a: Mastery Questions

Guidance Notes - To answer each question, click on the letter that corresponds to the correct answer. You then need to click the 'Check' button to see if you are correct. If your answer is incorrect, you will be given a hint on how to get the correct answer. You then need to click the 'Try again' button to attempt the question once more.
1. The nth term of a sequence is 5n − 4.
What is the 20th term of this sequence?

  A  
  B  
  C  
  D  
104
96
80
20
    

2. Here is a pattern made of red and blue tiles

A shape has 42 blue tiles. How many red tiles does it have?

  A  
  B  
  C  
  D  
41
83
20
22
    

3. In Question 2, the general rule for the number of blue tiles in shape n is

  A  
  B  
  C  
  D  
n + 2
4n
4n + 2
2n + 2
    

4. In Question 2, the general rule for the total number of tiles in shape n is

  A  
  B  
  C  
  D  
n + 3
3n + 2
3n + 1
4n + 2
    

5. The first three terms of a linear sequence are

83, 78, 73, ...

What is the rule for the nth term of this sequence?

  A  
  B  
  C  
  D  
-5n + 88
-5n + 78
5n + 78
-5n
    

6. What name best describes this sequence?

1, 3, 6, 10, 15, ...

  A  
The factors of 30
  B  
Odd, odd, even, even, odd
  C  
Prime numbers
  D  
Triangle numbers
    

7. Find the nth term for this sequence

9, 15, 21, 27, ...

  A  
  B  
  C  
  D  
6n + 3
6n
Add 6
9n + 6
    

8. What name best describes this sequence?

1, 1, 2, 3, 5

  A  
Fibonacci
  B  
Odd, odd, even, odd, odd
  C  
Prime numbers
  D  
Triangle numbers
    

9. The first three terms of a linear sequence are

3⁄5, 4⁄7, 5⁄9, ...

  A  
  B  
  C  
  D  
3n⁄3n + 2
n + 2⁄n + 4
n + 2⁄2n + 3
2n + 1⁄2n + 3
    

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