Algebra 1a: 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. What are the next two terms in this sequence?

4, 9, 14, 19, 24, ...

  A  
  B  
  C  
  D  
28, 33, ...
29, 34, ...
34, 39, ...
39, 44, ...
     
2. Look at this number sequence. What are the missing numbers?

3, , 17, , 31, 38, ...

A
B
C
D
10 and 25
9 and 25
9 and 24
10 and 24
    
3. What is the term to term rule for this sequence?

6, 11, 16, 21, 26, ...

  A  
The term increases by adding 6
  B  
The term is multiplied by 5 and add 1
  C  
The term increases by adding 5
  D  
The term is multiplied by 5
     
4. What are the next two terms in this sequence?

3, 6, 12, 24, 48, ...

  A  
  B  
  C  
  D  
60, 72, ...
72, 96, ...
72, 84, ...
96, 192, ...
     
5. Look at this number sequence.

6, 14, 22, 30, 38, ...

How many terms would you need to exceed 100?

  A     B     C     D  
11
12
13
14
    
6. Look at this repeating pattern.

Think about the 20th and 21st marbles.
What colours would they be?

  A  
blue, red
   B  
blue, blue
  C  
red, blue
  D  
red, red
    
7. Here are the first three patterns in a sequence.

How many circles will there be in pattern 4?

  A  
  B  
   C     D  
4
12
13
14
    
8. If the pattern in Question 7 continues, how many circles will there be in pattern 10?

  A  
  B  
  C  
  D  
37
39
41
43
    
9. This formula gives the cost of a ferry crossing:

Cost = £50 per car + £20 per passenger

What is the cost for a car and 3 passengers?

  A  
  B  
  C  
  D  
£70
£170
£210
£110
    
10. This rule gives the next number in the number chain:

Subtract 3 and then multiply by 2.
7 ⮕ 8 ⮕ 10 ⮕ 14 ⮕ ...

What is the next number in the chain?

  A  
  B  
  C  
  D  
36
22
25
33
    
11. The position to term rule for a sequence is multiply the term number by 4 and add 7.
What is the 5th term in this sequence?

  A     B     C     D  
5
20
27
39
    
12. The nth term of a sequence is 2n + 5.
What is the 8th term in this sequence?

  A     B     C     D  
21
8
13
26
    
13. Look at this sequence.

8, 15, 22, 29, 36, ...

What is the position to term rule?

  A  
The term increases by adding 7
  B  
The term number is multiplied by 7 then add 1
  C  
The number is multiplied by 8 then take away 1
  D  
None of these
     
14. Look at this sequence.

2, 11, 20, 29, 38, ...

What is the nth term?

  A  
  B  
  C  
  D  
+ 9
2n + 9
9n − 7
2 + 9n
    
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