Math Placement Test Practice Test Part 1

Math Placement Test Practice Test IMPORTANT NOTE: This document strives to be ADA compliant. If you use assistive technology, please read the information provided in Appendix A for guidance on navigating this document and for access to the web version of this content. Math Tiers 1, 2, and 3 Overview There are three RISE math placement tests. Students must earn a 70% on each test to advance to the next. That is, if students earn a 70% or higher on Test 1, then they can take Test 2. If students do not earn a 70% or higher on Test 2, then they cannot take Test 3. Each test takes approximately 60 minutes to complete. See the lists below of the content areas for each of the tests. Tier 1/Test 1 Whole Numbers Fractions and Mixed Numbers Decimals Ratios, Rates and Proportions Percents Measurement Geometry Real Numbers Tier 2/Test 2 Solving Equations and Inequalities Graphing Exponents and Polynomials Concepts in Statistics Tier 3/Test 3 Factoring Rational Expressions and Equations Radical Expressions and Equations and Quadratic Equations Functions Tier 1 Practice Test Questions Whole Numbers 1. You open up a shop in Hawaii and want to offer customers four days of extreme experiences. On the first 2 days the customer can choose a water activity: snorkeling, fishing and water skiing. The next 2 days, the customer can choose from more extreme activities: zip lining, sky diving, rock climbing, and cave exploring. In how many ways can a customer choose a water activity for the first 2 days and then another water activity for last 2 days? a. b. c. d. 12 7 13 4 2. Constance wants brand new carpet for her square-shaped bedroom. Her bedroom is 11 ft. by 11 ft. How much carpeting will Connie need to purchase to cover half of the floor? a. 121 sq. ft. b. 60.5 sq. ft. c. 120 sq. ft. d. 65 sq. ft. 3. The Krispy Creme “donuts are ready” sign at three different Krispy Crème locations, lights up when the donuts are ready at every 10 minutes, 15 minutes and 20 minutes, respectively. If the time is 9:00 pm and donuts are ready at all three shops, how many minutes will it take for the signs to again light up at the same time? a. b. c. d. 30 minutes 40 minutes 50 minutes 60 minutes (Test continued on next page) 2 Fractions 4. In Figure 1, below, there are 3 out of 5 triangles shaded blue. In Figure 2, below, there are 6 out of 10 triangles shaded blue. What fraction represents the total blue shaded triangles between Figure 1 and 2? a. 6/5 b. 10/12 c. 9/15 d. 9/10 Figure 1 (Test continued on next page) 3 Figure 2 Decimals Figure 3 5. In Figure 3, above, the area of each square represents 1/100 of a square inch. As a decimal, which one of the following is true? a. Since the area of each square represents 1/100 of a square inch, then the portion of Figure shaded is representing 0.2 as an equivalent decimal. b. Since the area of each square represents 1/100 of a square inch, then the portion of Figure shaded is representing 0.27 an equivalent decimal. c. Since the area of each square represents 1/100 of a square inch, then the portion of Figure shaded is representing 0.25 as an equivalent decimal. d. Since the area of each square represents 1/100 of a square inch, then the portion of Figure shaded is representing 0.23 as an equivalent decimal. Ratios, Rates and Proportions 6. A lime sherbet punch can be made from 2 pints of lime sherbet and 4-liters of Ginger Ale. If I triple the lime sherbet, how many liters of Ginger Ale will be needed to make the punch? a. b. c. d. 4 10 liters 11 liters 12 liters 13 liters 7. The following prices for pecans are all in proportion except, a. b. c. d. $2 per oz. equals $6 per 3 oz. $4 per 2 oz equals $20 per 10 oz. $9 per 4.5 oz equals $36 per 18 oz. $13 per 6 oz equals $29 per 12 oz. Percent Figure 4 8. In Figure 4 above, what is the percent of unshaded blocks? a. b. c. d. 60% 65% 70% 75% 9. What is the discounted price for a pair of shoes that cost $ 75.00, if the discount is 25%? a. $55.00 b. $56.25 c. $57.50 d. $58.00 (Test continued on next page) 5 10. What is the original cost of a sofa if it has been discounted 40% and the amount after the discount is $165.00? a. b. c. d. $275.00 $660.00 $231.00 $412.50 Measurement Figure 5 11. Figure 5, above, shows the relationship between metric prefixes. If the base unit is meter, convert 87,000 mm to km. a. b. c. d. 0.87 km 0.0087 km 0.087 km 0.00087 km 12. Laurence purchased a 200 ml bottle of juice and purchased a second 3-liter bottle of juice. What is the difference in liters between the two juice bottle amounts? a. b. c. d. 6 2.08 L 2.008 L 2.8 L 28 L Figure 6 13. Figure 6, above, shows a digital scale and the weight of Ms. Roberson’s grandson, Romiin in kg. How many pounds is Romiin? (Round to the nearest whole number) a. b. c. d. 125 lbs 26 lbs 109 lbs 59 lbs Geometry  3.14 c  d 14. The circumference of a circle is given by the formula, , where .The radius of the tire of a Lexus is 17 inches. Find the circumference of the tire. Round your final answer to the nearest whole number. a. b. c. d. 227 inches 53 inches 907 inches 107 inches (Test continued on next page) 7 15. Given the right triangle in Figure 7 below, if a = 3 ft and c = 5 ft, find b, the missing side. a. b. c. d. 3.5 ft 2 ft 4 ft 16 ft Figure 7 16. Evaluate: 169 a. b. c. d. 84.5 -169 13 28,561 (Test continued on next page) 8 17. For Figure 8 below, find the perimeter of the polygon. Figure 8 a. b. c. d. 48.1 ft 52.1 ft 40.1 ft 76 ft Real Numbers 18. Simplify a. b. c. d.  6 16.5 4 0 19. Simplify a. b. c. d.  83 26 4 36  50   70 35  . 21 -79 -9 91 (Test continued on next page) 20. Translate and evaluate the expression, x divided by 4 plus 9, if x = 4. 9 a. b. c. d. 4/13 10 19 1/13 2  2 21. Simplify the expression 4 5 . a. b. c. d. -9 9 1 -2 0 15 9  8     22. Simplify the expression  6 6  9 . a. b. c. d. 1/9 -7/18 1 0 23. Simplify a. b. c. d. 6 3 216 18 -216 -18 (End of Tier 1 test) 10 .