Name: 
 

Lesson 7: Solve Problems Using Logical Reasoning



 1. 

The following chart shows the percent of students that read a book a week in 5 classes at Charmaine’s school.

Class
Number of students in class
Percent of students that read a book a week
6A
25
20%
6B
24
25%
7A
30
20%
7B
35
20%
8
32
25%

In which class do the greatest number of students read a book a week?
a.
Class 6A
b.
Class 8
c.
Class 7B
d.
Class 7A
 

 2. 

In which class do the least number of students read a book a week?
a.
Class 7B
b.
Class 6B
c.
Class 8
d.
Class 6A
 

 3. 

In order to graduate from high school all students must complete 40 hours of community service. Erica has completed 70% of her hours. How many more hours does she need to complete?
a.
28
b.
12
c.
26
d.
14
 

 4. 

Miguel completed 65% of his 40 hours of required community service. How many more hours does he need to complete?
a.
14
b.
16
c.
24
d.
26
 

 5. 

In a class, 10% of the students failed the last math test. If the class consists of 30 students, how many students passed the test?
a.
3
b.
20
c.
27
d.
10
 

 6. 

Janice got 85% on her science test. The test had 60 questions. How many questions did Janice answer incorrectly?
a.
8
b.
11
c.
10
d.
9
 

 7. 

There are 78 students in Grade 7 at Madison’s school. This represents 15% of the total number of students at the school. How many students go to Madison’s school in total?
a.
480
b.
520
c.
640
d.
580
 

 8. 

25% of the students at Madison’s school are in Grade 5. How many students are in Grade 5?
a.
130
b.
150
c.
90
d.
210
 

 9. 

A great white shark has a mass of 2250 kg. The tiger shark’s mass is 40% of the mass of the great white shark. What is the mass of the tiger shark?
a.
850 kg
b.
1000 kg
c.
900 kg
d.
1200 kg
 

 10. 

An albatross has a wingspan of 3.4 m. The wingspan of a bald eagle is 70% of that of the albatross. What is the wingspan of the bald eagle?
a.
2.83 m
b.
3.8 m
c.
3.28 m
d.
2.4 m
 



 
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