Final Math Exam

1. Answer the following questions about the number sixty-seven billion, ninety million, four hundred eighty-two thousand.
2. a) Write the number using digits. answer: 67,090,482,000
3. b) What value does the digit ‘8’ have? answer: 80,000
4. c) Write the number using scientific notation. answer: 6.7090482×10^9
5. a) 478 + 25,007 + 9,302 + 19 = 34,806
6. b) 38,412 ‒ 9,728 = 28,684
7. c) 2,222 × 16 = 35,552
8. d) 3995 ÷ 47 = 85
9. e) 7^4 = 16,807
10. Write 3,779 as a Roman numeral. answer: MMMDCCLXXIX
11. Find the greatest common divisor of 36, 63, 144 and 324. answer: 36
12. Find the least common multiple of 8, 10 and 15. answer: 120
13. For the number 8
14. 7
15. 5 : a) Reduce to an improper fraction.
16. b) Reduce to a decimal number.
17. c) Reduce the improper fraction to twenty-fourths. answer: a)
18. Solve the following:
19. a) 13 5/24
20. b) 1.3962
21. c) 10.8
22. d) 3/26
23. . I paid $132 for some merchandise that had been discounted 20%. What was the original price? answer: 165$
24. . Solve the following:
25. a) ‒24 ‒ 7 = -31
26. b) 3 ‒ (‒18) = 21
27. c) ‒5 × (‒15) = 75
28. d) 108 ÷ (‒12) = -9
29. e) |‒49| ÷ | 7 | = 7
30. Evaluate the following algebraic expression for x = ‒4: answer: 21

. Convert 3 gallons to cups, using conversion factors correctly. There are 4 quarts in
a gallon, 2 pints in a quart, and 2 cups in a pint. answer: 48 cups

Julian has noticed that in the first month of the year the weatherman has been right
an average of 5 out of 7 days of the week. If there are 52 weeks in the year, find out
how many days the weatherman will be right. Then write these two ratios as a
proportion. answer: 260 days out of 365 days

For the numbers 15, 12, 14, 19, 21, 10 and 14, find the mean, the median, the
mode or modes (if any), the range and the mean absolute deviation. answer: Mean: 15

Median: 14

Mode: 14

Range: 11

Mean Absolute Deviation: Approximately 2.86

On the following coordinate graph, graph a line with a slope of2l3 and a1-
intercept of+. Then write down an equation for this line. answer: +2.5

If you roll a pair of dice twice, what is the probability that you will roll 7s on both
rolls? answer: 1 out of 6 chance

Consider the following sets:
A = { 1, 2, 3, 4, 5 }
B = { A, B, C, 1, 2, 3 }
Draw a Venn diagram for the sets. Then find A U B and A I B. answer: (A \cup B = {1, 2, 3, 4, 5, A, B, C})

(A \cap B = {1, 2, 3})

Jennifer ate 930 calories for breakfast, 1225 calories for lunch, and 120 calories
for an afternoon snack. Jennifer wants to keep her calories for the day less than 3,000
total. Write an inequality for this situation and solve it to find out how many calories
Jennifer’s dinner can have. answer: less than 725 calories

For the triangle below, find the length of side c and the area of the triangle (the
solutions will be integers).

answer: 10

If two sides of a triangle have lengths of 6.5 and 10.5, use the triangle inequality to
find out the possible values of the third side, then write it as an inequality. answer: c < 17

Find the surface area and the volume of the box below: answer: 54

. Mark and label the center, radius, diameter and circumference of the circle below.
Then find the diameter, circumference and area of the circle if the radius is 10 inches. answer: Diameter: 20 inches

Circumference: (20\pi) inches

Area: (100\pi) square inches.