Number 3c: 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. Express 20 : 28 in its simplest form.

  A  
  B  
  C  
  D  
10 : 14
5 : 7
1 : 14
0.71 : 1
    
2. Write 0.6 m to 1.8 m in its simplest form.

  A  
  B  
  C  
  D  
0.6 : 1.8
6 : 18
2 : 6
1 : 3
    
3. Leah and Oscar share out their chocolates in the ratio 3 : 4. If Leah gets 24 chocolates, how many does Oscar receive?

  A  
  B  
  C  
  D  
18
28
32
56
    
4. What is the ratio of 45 minutes to 2 hours in its simplest form?

  A  
  B  
  C  
  D  
45 : 120
45 : 2
1 : 2.67
3 : 8
    
5. The ratio of girls to boys in 8X is 2 : 3. Which of these numbers can not be the number of pupils in 8X?

  A  
  B  
  C  
  D  
20
24
25
30
    
6. Mark and Petrina share a bag of sweets. Petrina gets three times as many as Mark. What fraction of the total number of sweets does Petrina receive?

  A  
  B  
  C  
  D  
14
13
23
34
    
7. Farmer Coombe harvests pears. He spits his crop into Premium, Budget and Reject pears in the ratio 4 : 7 : 2. Calculate the number of pears he picked if he had 16 rejects.

  A  
  B  
  C  
  D  
104
88
55
56
    
8. Molly is making a fruit drink using orange juice, pineapple juice and blackcurrant juice in the ratio 5 : 3 : 2. She has lots of orange juice and blackcurrant juice but only 90 ml of pineapple juice. How much fruit drink can she make?

  A  
  B  
  C  
  D  
180 ml
300 ml
450 ml
900 ml
    
9. The lengths of two pieces of wood are in the ratio 4 : 5. What fraction of the total length is the shorter piece?

  A  
  B  
  C  
  D  
45
54
49
59
    
10. The lengths of two pieces of wood are in the ratio 4 : 5. What fraction of the shorter piece is the longer piece?

  A  
  B  
  C  
  D  
45
54
49
59
    
11. A small box of screws contains 24 flat head screws and 36 cross head screws. How many flat head would be in a similar box if there are 140 screws altogether in the box?
  A  
  B  
  C  
  D  
56
70
72
84
    
12. Sarah has been collecting stamps for a number of years. She splits her stamps into European, Asian and American in the ratio 7 : 2 : 4. If she has 546 non-European stamps, how many Asian stamps does she have?

  A  
  B  
  C  
  D  
84
156
182
273
    
For Questions 13, 14 and 15, you will need to answer them using paper and pencil and then click the 'Check' button to see if you have done them correctly.
13. The ratio of blue soccer shirts to red soccer shirts sold in a sports shop is 4 : 7.
If the shop sold 54 more red shirts than blue shirts, how many blue shirts did they sell?     
14. Petra has a large collection of action figures. The ratio of male to female is 4 : 3. For her birthday her brother gave her 5 more female figures. The ratio of male to female figures was then 8 : 7.
How many female figures has Petra now got in her collection?     
15. Three enterprising students in Year 8 decided to set up their own sweet shop in the playground at break time and lunch time selling chocolate bars. Initially James put £25 into the kitty, Sara put £15 and Adrianne put in £10. They agreed to split profits in the ratio of their initial contributions. At the end of the first month, Sara's share was £16 less than James' share.
How much was Adrianne's share of the profits?     
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