MATH FCAT PREP 2011 - 2012

1. MATH FCAT PREP 2011 - 2012 6TH GRADE

2. A product of prime factors can be written using exponents and a base. Numbers expressed using exponents are called powers.Ex: 4² can be written in expression form as 4 x 4 or can have a value of 16. Write each product using an exponent. Then find the value of the power. a. 2·2·2·2·2 b. 9·9 c. 4·4·4 d. 10·10 e. 5·5·5 f. 3·3·3·3 Write each power as a product. Then find the value of the product. g. 7² h. 8³ i. 2⁸ j. 3⁶ September 6, 2011

3. Order of Operations: (PEMDAS) Find the Value of each expression. a. 7 + 2 x 3 b. 12 ÷ 3 + 5 c. 16 – (4 + 5) d. 8 x 8 ÷ 4 e. 10 + 14 ÷ 2 f. 3 x 3 + 2 x 4 g. 80 – 8 x 3² h. 11 x (9 – 2²) i. 25 ÷ 5 + 6 x (12 -4) September 7, 2011

4. VARIABLES AND EXPRESSIONS Evaluate each expression if x=7, y=15 & z=8. a. 4x – 3z b. z² ÷ 4 c. x² + 30 – 18 d. xz – 2y + 8 e. 15y + x² f. 3y x 40x – 1,000 g. 6z – 5z h. 9y ÷ (2x +1) i. x + y + z September 8, 2011

5. Compare. Use <, >, or =. a. 4.69 ___ 4.96 b. 37.063 ___ 3.7063 c. 7.64 ___ 7.640 d. 2.50 ___ 2.05 Write in order from least to greatest. 53,482; 53,842; 56,324 f. 8.4; 8.04; 8.104; 8.004 492,924; 492,249; 492, 429 h. 1.7; 1.78; 1.7008; 1.8 October 3, 2011

6. Find the product. a. 4.6 b. 7.7 c. 0.61 x 9 x 65x 33 d. 5.73 e. 2.76 x 0.601 x 70 x 2.23 Find the quotient. f. 7.1 ÷ 2.8 g. 20.8 ÷ 4 h. 11.8 ÷ 0.05 October 4, 2011

7. Solve. Show your work. The combined height of Jack and Bob is 340 cm. This is 158 cm more than Al’s height. Al is 8 cm taller than Jack. How tall is Bob? A local call costs $0.13 for the first minute, plus $0.08 for each additional minute. What is the cost of a 10-minute call? There are 24 hours in one day. How many hours are there in one year of 365 days? A loaf of raisin bread has 3,630 calories. There are 22 slices in a loaf. How many calories are there in each slice? 5. A number has 6 in the thousandths place, 5 in the ones place and 8 in the ten-thousands place. All other places have zero in them. Write the number as a decimal. October 5, 2011

8. Converting Fractions to Decimals Write each decimal as a fraction or mixed number in simplest form. a. 0.25 b. 4.58 c. 0.824 d. 2.75 e. 0.64 f. 1.4 Write each fraction or mixed number as a decimal. g. 2 ¼ h. 7/8 i. 2 3/5 j. 4/9 k. 5 6/14 l. 11/12 October 6, 2011

9. Copy and complete the statement with >, <, or =. a. 2/3 ___ 5/6 b. ¾ ___ 0.8 c. 2.5 ___ 12/5 d. 1 3/5 ___ 1.35 e. 7/8 ___ 14/16 f. 3 7/10 ___ 3 5/8 Order the following numbers from least to greatest. g. ¾, 7/8, 8/12 h. 1/3, 4/9, ½ i. 3/10, 7/8, 4/5 j. 2 4/5, 23/10, 2.1, 2.35 October 31, 2011

10. Conversion: Customary Units Complete: a. 4 lb = _____ oz b. 29 ft = _____yd ____ft c. 14 c = _____ pt d. 288 in. = ____yd e. 6 ½ gal = ____ pt f. 32 qt = ____ pt g. 2.5 mi = ____ ft h. 2 yd 1 ft = ____ ft i. 1 1/3 yd = ____ ft j. Jeff is 58 ¼ in. tall. What is Jeff’s height in feet and inches? 1 foot = 12 inches 1 yard = 3 feet 1 mile = 5280 feet 1 cup = 8 fl oz. 1 pint = 2 cups 1 quart = 2 pints 1 gallon = 4 quarts 1 pound = 16 oz 1 ton = 2000 lbs November 1, 2011

11. Solve. Show your work. In four football games Fred gained 125 yd, 100 yd, 75 yd, and 115 yd. What is the total gains for the four games? Admission for the school sports event cost $3.50 for adults and $2.00 for children. Mr. Ross paid $21.00 for admission for his group. How many adults and children attended? The line for an overdue videotape at Janet’s library is $1.25 for the first night and $0.25 per hour for each hour after 9:00 am that the tape is overdue. Janet borrowed a tape that was due on September 20. She returned it at 1:00 pm on September 21. What is the fine? 4. Each row of chairs in a large room has 27 chairs. There are 18 rows of chairs. How many chairs are there all together? November 2, 2011

12. DIVISIBILITY PATTERNS Tell whether each number is divisible by 2, 3, 4, 5, 6, 9, or 10. Then classify the number as even or odd. a. 80 b. 93 c. 324 d. 23,512 e. 268 f. 665 g. 24,681 h. 7,000 November 3, 2011

13. PRIME FACTORIZATION Find the prime factorization of each number. HINT: (factor tree) a. 125 b. 44 c. 56 d. 120 e. 114 f. 81 November 28, 2011

14. MEASURES OF TIME Add or subtract. a. 4 h 18 min 11 s b. 6 h 7 min 42 s -3 h 15 min 4 s +2 h 12 min 38 s Find each elapsed time. c. 4:25 p.m. to 11:55 p.m. d. 9:20 a.m. to 5:05 p.m. e. 10:30 a.m. to 1:43 p.m. f. 11:40 a.m. to 1:52 p.m. November 29, 2011

15. PERCENTS & FRACTIONS Write each percent as a fraction in simplest form. a. 20% b. 35% c. 70% d. 60% e. 150% f. 225% Write each fraction as a percent. g. ²/₁₀₀ h. ⁸/₅ i. ⁴/₁₀ November 30, 2011

16. RATIOS & UNIT RATES Write each ratio as a fraction in simplest form. a. 2 guppies out of 6 fish b. 12 puppies to 15 kittens c. boys out of 10 students d. 25 Dodge to 100 Honda Write each ratio as a unit rate. (1) a. 6 eggs for 3 people f. $12 for 4 pounds g. 40 pages in 8 days h. 24 slices for 8 people December 1, 2011

17. PROPORTIONS Solve each proportion. a. 2 = 8 b. 3 = 12 c. 2 = y 3 n 4 x 4 8 d. 3 = b e. 1.2 = c f. d = 3 5 15 9 1.5 16 8 g. x = 1.5 h. 2 = 6i. 0.1 = 0.5 2.6 1.3 y 9 2.6 z January 9, 2012

18. METRIC SYSTEM CONVERSIONS Complete. a. 2.5 L = __?__ mL b. 8.4 g = __?__mg c. __?__ m = 5.6 km d. 900 mg = __?__g e. 0.6 kg = __?__ g f. __?__ km = 500 m g. 400 mm = __?__cm h. 3.2 m = __?__mm January 10, 2012

19. 1 ft = 12 in 1 mi = 5,280 ft1 yd = 36 in 1mi = 1,760 yds1 yd = 3 ft Using the conversion table, convert the following problems. 1. 5 yd = __ ft 5. 9ft = __in 2. 36 in = __ ft 6. 48in = __ft 3. 3 mi = __ yd 7. 144 in = __ yd 4. 10,560 ft = __mi 8. 2 yd = __ in January 11, 2012

20. Write each decimal as a fraction or mixed number. 1. 0.15 7. 1.25 2. 0.34 8. 2.6 3. 5.71 9. 0.31 4. 0.1 10. 6.3 5. 0.19 11. 3.23 6. 3.84 12. 0.25 January 12, 2012

21. Write the fraction or mixed number as a decimal. • 2/5 7. 2 7/8 • 2. 1/3 8. 1/8 • 3. 3/8 9. 4 4/5 • 4. 3 11/40 10. 5/8 • 5. 4 1/10 11. 3/4 • 6. 1/2 12. 1/7 February 6, 2012

22. Write the mixed number as an improper fraction. 1 3/5 6. 4 1/6 2. 3 1/7 7. 11 4/9 3. 18 3/5 8. 5 1/3 4. 9 ¼ 9. 4 9/11 5. 2 3/8 10. 7 5/8 February 7, 2012

23. Compare. Write <, >, or =. 2/5 ___ 4/5 6. 1/10 ___ 3/10 2. 4/8 ___ 16/24 7. 1/9 ___ 2/9 3. 1/4 ___ 5/6 8. 3/10 ___ 2/3 4. 3/8 ___ 4/9 9. 3/5 ___ 2/21 5. 7/12 ___ 13/30 10. 24/41 ___ 2/7 February 8, 2012

24. Tell whether each number is divisible by 2,3,4,5,6,9, and 10. 741 6. 387 2. 48 7. 432 3. 189 8. 25 90 9. 405 5. 72 10. 677 February 9, 2012

25. Find the mean, median, mode and range of the data set. What is the outlier of the data? Find the mean of the data with the outlier removed. March 19, 2012

26. Solve the word problem . Show all work. The width of a rectangle is 15ft. What is the perimeter of the rectangle if the length is 5ft longer than the width. 2. What is the perimeter of the polygon with length of 2.7cm and width 3.9 cm? 3. If the diameter of a pond is 5 yards, what is the circumference? 4. If the radius of the garden is 7 yards, what I the circumference? March 20, 2012

27. Nearly Rectangular States New Mexico is the 5th largest state in the United States. What is its approximate total area? Kansas is the 15th largest state in the United States. What is its approximate total area? Find the difference between the total area and water area of North Dakota. March 21, 2012

28. Area of Circles. Use 3.14 for Π Which ring is the largest? What area does it have? What is the area of the inner 10 scoring ring? What is the area of coring ring 7? What area does it have? Which ring is the smallest? What is its area? March 22, 2012

29. Write an expression for each input-output table. 1. 2. 3. 4. April 9, 2012

30. Solving Two-Step Equations Solve. Check each answer. 1. 5x + 2 = 7 2. 4 + 3y = 43 3. 3x – 5 = 1 4. 11 = 3t + 5 5. x + 4 = 27 3 6. w + 5 = 13 8 7. r – 10 = 13 2 April 10, 2012