Name: 
 

Lesson 8: Solving Problems Using Logical Reasoning



 1. 

Which decimal matches the following clues?
   
Clue 1: A decimal hundredth that is between mc001-1.jpg and 0.5.
Clue 2: The number of tenths is an even number.
Clue 3: The number of hundredths is 7.
a.
0.47
b.
0.74
c.
0.44
d.
0.77
 

 2. 

Which decimal matches the following clues?
   
Clue 1: A decimal thousandth that is between 0.45 and mc002-1.jpg.
Clue 2: The number of hundredths is an odd number.
Clue 3: The number of thousandths is 1.
Clue 4: The number of tenths is the sum of 2 and 3
a.
0.175
b.
0.517
c.
0.571
d.
0.715
 

 3. 

Which fraction matches the following clues?
   
Clue 1: The decimal equivalent is between 0.35 and 0.60.
Clue 2: The numerator is an odd number.
Clue 3: The denominator is 2 times the numerator.
a.
mc003-1.jpg
b.
mc003-2.jpg
c.
mc003-3.jpg
d.
mc003-4.jpg
 

 4. 

Which fraction matches the following clues?
   
Clue 1: The decimal equivalent is between 0.555 and 0.870.
Clue 2: The numerator is an odd number.
Clue 3: The denominator is 3 more than the numerator.
a.
mc004-1.jpg
b.
mc004-2.jpg
c.
mc004-3.jpg
d.
mc004-4.jpg
 

 5. 

An unknown fraction is equivalent to mc005-1.jpg. The sum of its numerator and denominator is 24. What is the fraction?
a.
mc005-2.jpg
b.
mc005-3.jpg
c.
mc005-4.jpg
d.
mc005-5.jpg
 

 6. 

An unknown decimal is less than mc006-1.jpg. The number of tenths is 5. The number of thousandths  is the same as the number of tenths. The number of hundredths is 2 more than the number of tenths. What is the decimal?
a.
0.257
c.
0.557
b.
0.755
d.
0.575
 

 7. 

Patrick has a fruit stand. He has 21 bananas, 14 pears, and 16 oranges. He sells mc007-1.jpg of his bananas, mc007-2.jpg of his pears, and mc007-3.jpg of his oranges.
                   mc007-4.jpg

How many bananas did he sell?
a.
14
c.
16
b.
12
d.
15
 

 8. 

How many pears did Patrick sell?
a.
6
c.
7
b.
8
d.
10
 

 9. 

How many oranges did Patrick sell?
a.
1
c.
4
b.
2
d.
3
 

 10. 

How many pieces of fruit did Patrick have left over?
a.
26
c.
30
b.
25
d.
28
 



 
Check Your Work     Start Over