Name:    Lesson 8: Solving Problems Using Logical Reasoning

1.

Which decimal matches the following clues?

 Clue 1: A decimal hundredth that is between 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 .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. b. c. d.

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. b. c. d.

5.

An unknown fraction is equivalent to . The sum of its numerator and denominator is 24. What is the fraction?
 a. b. c. d.

6.

An unknown decimal is less than . 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 of his bananas, of his pears, and of his oranges.

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