Algebra 2b: 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 graph below can be used to change between pounds (£) and Australian dollars (A$).

What is £40 converted into A$?

  A  
  B  
  C  
  D  
A$25
A$60
A$64
A$70
    
2. Using the same conversion graph as Q1, what is A$40 converted into £?

  A  
  B  
  C  
  D  
£20
£25
£64
£70
    
3. What is the output from this functon machine?

Input5 →   + 4    →   × 3   → ?output

  A  
  B  
  C  
  D  
19
23
27
40
    
4. What is the output from this functon machine?

Input8 →   × 6    →   − 4    →   ÷ 2   → ?output

  A  
  B  
  C  
  D  
46
20
25
22
     
5. What is the input for this functon machine?

Input? →   − 3    →   ÷ 4   → 12output

  A     B     C     D  
0
6
45
51
    
6. This functon machine calculates the cost, £C, of a rail journey of d kilometres.

Inputd →   × 0.6    →   + 10   → ?output

What is the cost of a journey of 80km?

  A  
  B  
  C  
  D  
£14.80
£50.80
£58
£480
    
7. Using the same functon machine as in Q6, the correct formula for working out the cost, £C, of a journey of d kilometres is:

  A  
d = 10 + 0.6C
   B  
C = 10 × 0.6 + d
  C  
C = 10d + 0.6
  D  
C = 0.6d + 10
    
8. This formula relates the number of chirps per minute (x) made by a snowy tree cricket to the ambient temperature in degrees Fahrenheit (y).

y = 0.25x + 36

What is the temperature in °F if the number of chirps per minute is 60?

  A  
  B  
  C  
  D  
15
24
51
52
    
9. The soluton of the equaton 8x = 36 is:

  A  
  B  
  C  
  D  
28
4
4.5
288
    
10. The soluton of the equaton x - 7 = 21 is:

  A  
  B  
  C  
  D  
14
28
3
147
    

11.
The soluton of the equaton 
x
 = 18 is:
3

  A  
  B  
  C  
  D  
6
15
21
54
    
12. Which of these tables shows that y is directly proportonal to x?

  A  
  B  
  C  
  D  
    
13. If y is directly proportional to x, what is the missing value in this table?

  x  
  4  
  10  
  12  
y
10
25
?

  A  
  B  
  C  
  D  
20
30
40
50
    
14. If y is directly proportional to x, what is the missing value in this table?

  x  
  3  
  7  
  ?  
y
18
42
54

  A  
  B  
  C  
  D  
8
9
11
12
    
15. A recipe for 10 flapjacks needs 20g of butter, 30g of sugar and 50g of oats.
How many flapjacks can I make if I have 160g of butter, 180g of sugar and 220g of oats?

  A  
  B  
  C  
  D  
80
60
40
4
    
16. A craft project for 5 pupils requires 10m of string, 15 cotton reels and 60 beads.
How much of each commodity do I need for 12 pupils?

  A  
25m of string
30 cotton reels
120 beads
   B  
24m of string
36 cotton reels
144 beads
  C  
24m of string
30 cotton reels
144 beads
  D  
25m of string
36 cotton reels
120 beads
    
17. If 450g of cheese cost £2.70, what is the price per 100g?

  A  
  B  
  C  
  D  
30p
50p
60p
70p
    
18. A local supermarket offers 4 different multi-packs of identical packets of crisps. Which of these offers the best value for money?

  A  
  B  
  C  
  D  
3 for £1.05
5 for £1.70
8 for £2.15
10 for £3.50
    
19. The local hardware shop sells screws in bags containing multiples of 100. Which of these represents the best value for money?

  A  
  B  
  C  
  D  
200 for
£1.98
300 for
£2.94
500 for
£4.90
800 for
£7.80
    
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