Fractions maths problems

Fractions maths problems

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about many different aspects of fractions.
Questions/instructions
 
1. What is the difference between \(3 \over 4\) and \(1 \over 4\)?
 
(A) \(3 \over 4\)
(B) \(1 \over 2\)
(C) \(1 \over 4\)
(D) 2
 

 

2. The chart above shows…
 
(A) \(1 \over 3\) of the days sunny
(B) \(1 \over 2\) of the week sunny
(C) \(3 \over 5\) of the days sunny
(D) \(1 \over 5\) of the days rainy
 
3.
Which part of the circle is missing?
(A) \(1 \over 2\)
(B) \(1 \over 4\)
(C) \(1 \over 3\)
(D) \(2 \over 3\)
 
4. A class has 35 pupils. \(1 \over 5\) come by bus, \(2 \over 5\) come by bike. How many come by other means?
 
(A) 7
(B) 14
(C) 20
(D) 21
 
5.
How much of the region below is shaded? Write this as a fraction. __________
 
 
6. How much of the region below is shaded? Write this as a fraction. __________
 
 
7. How much of the region below is shaded? Write this as a fraction. __________
 
 
8. Which part of the region is shaded?
 
(A) \(1 \over 3\)
(B) \(3 \over 8\)
(C) \(5 \over 8\)
(D) \(3 \over 5\)
 
9. How many thirds are equal to one whole?
 
(A) \(1 \over 3\)
(B) 1 
(C) 2
(D) 3
 
10.
Which fraction is equivalent to 1/2?
 
(A) \(1 \over 3\)
(B) \(1 \over 4\)
(C) \(2 \over 4\)
(D) \(2 \over 3\)
 
11. Look at the shaded part of each shape. Is it a quarter?
            
 
a) Is it a quarter? __________  
 
 
 
b) Is it a quarter? __________  
 
 
 
c) Is it a quarter? __________  
 
 
 
d) Is it a quarter? __________  
 
 
 
Task administration: 
This task can be completed with pencil and paper.
Levels:
2, 3
Description of task: 
For this NEMP task students answer a series of questions about fractions.
Learning Progression Frameworks
This resource can provide evidence of learning associated with within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
    Y4 (10/1997)
1. (B) 24%
2. (C) 31%
3. (D) 34%
4. (B) 25%
5. 1/2
15/30 , 3/6
38%
7%
6. 1/5
6/30
10% 
5%
7. 2/3
20/30 , 4/6
3% 
11%
8. (B) 28%
9. (D) 35%
10. (C) 20%
11. a)   yes
b)   no
c)   no
d)   yes
71%
56%
70%
67%

NOTE: Questions 1-7 were also done by year 8 students, see resource NM0105.