Semester Exam Review
Write each mixed number as an improper fraction. Write each improper fraction as a mixed number.
1.
2.
Use the Banana Berry Smoothie recipe to answer each question.
Banana Berry Smoothie (7 servings)
Blend together:
cups yogurt
cup mashed bananas
cups strawberries
cup raspberries
cups ice cubes
cup blueberries
3. What total amount of Banana Berry Smoothie does the recipe make?
4. How many more cups of blueberries are used than raspberries?
Calculate each product. Simplify your answers and do not leave answers as improper fractions.
5.
6.
Calculate each quotient. Simplify your answers and do not leave answers as improper fractions.
7.
8.
9.
10.
11. Three common benchmarks for estimating with fractions are 0,
, and 1. For each benchmark, describe the
relationship between the numerator and denominator of a fraction close to that benchmark.
a.
0
b.
c.
___________________________________________________________________________
___________________________________________________________________________
1
___________________________________________________________________________
List the fractions in order from least to greatest. Explain your reasoning.
12.
Calculate the sum or difference. Simplify the answer, if possible.
13.
14.
15.
16.
17. Terry wrote down her favorite numbers. The numbers are 1, 4, 7, 14, 15, 16, 19, 20, 23, 28, and 31.
a.
What are the prime numbers in Terry’s list?
b.
What are the composite numbers in Terry’s list?
c.
What are the even numbers in Terry’s list?
d.
What are the perfect squares in Terry’s list?
18. What number is the multiplicative identity? Explain. Give a multiplication example that demonstrates this
property.
19. Complete a factor tree for each number. Then, write the prime factorization using powers.
a. 882
____ 20. Which of the following is a prime number?
a.
b.
c.
d.
7
8
9
10
____ 21. What are the common factors of 32 and 28?
a.
b.
c.
d.
1, 2, and 4
1, 2, 4, and 7
1, 2, 4, and 8
1, 2, 4, 7, 8, 14, 16, 28, and 32
____ 22. Which of the following is a square number?
a.
b.
c.
d.
64
72
83
91
____ 23. Which of the following is a composite number?
a.
b.
c.
d.
11
15
17
19
b. 504
____ 24. In the expression 54, what is the “5”?
a.
b.
c.
d.
the power
the base
the exponent
the multiple
Determine the greatest common factor for each pair of numbers using prime factorization. Create factor trees
if you need help determining the prime factorization of each number.
25. 54 and 72
26. 135 and 225
Identify the base and exponent in each power. Then, write each power in words and calculate its value.
27. 63
28. 35
29. Derek wrote 8, 9, 12, and 15 on the black board. Which pairs of these numbers are relatively prime