# Grade 5 Mathematics Mid-Year Assessment REVIEW

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1 Grade 5 Mathematics Mid-Year Assessment REVIEW The learning targets (Texas Essential Knowledge and Skill statements) are listed prior to sample items. The sample items are not an exhaustive list and only indicate an example to measuring a student s knowledge regarding the learning target. An R following the TEKS identification indicates this learning target is a Readiness standard in comparison to an S indicating a Supporting standard. 5.2A S: Represent the value of the digit in decimals through the thousandths using expanded notation and numerals; 1. Madelyn has 8 one-dollar bills in her purse. She also has 7 dimes and 4 pennies. Which is NOT equivalent to the amount of money in Madelyn s purse? A B. (8 x 1) + (7 x 0.1) + (4 x 0.01) C tenths + 4 hundredths D B R: Compare and order two decimals to thousandths and represent comparisons using the symbols >, <, or =; 2. Which of the following is true? A > 0.41 B > C < 0.47 D < Which symbol and number can be placed in the blank to make a true number sentence? 5.38 A. = B. < C. > D. < 5.038

2 5.2C S: Round decimals to tenths or hundredths. 4. H.E.B. gasoline prices are posted on their pumps. The price per gallon for each type of gas are displayed in the following chart. Regular Premium Ethanol \$2.219 \$2.309 \$2.559 Which shows the price of the premium gasoline rounded to the nearest hundredth? A. \$2.30 B. \$2.31 C. \$2.32 D. \$ A S: Estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division; 5. Lydia has exactly \$200 to cover the total cost of her cheerleading uniform and accessories. The skirt costs \$57.83, two shirts each cost \$32.73, a pair of shoes costs \$ Approximately how much money does it cost for her pom-poms? A. \$69 B. \$59 C. \$37 D. \$33 5.3B S: Use strategies and algorithms, including the standard algorithm, to multiply with fluency a three-digit number by a two-digit number using the standard algorithm; 6. When purchasing Pokeman cards, the set are bundled with 44 cards per set. Walmart receives delivery of 704 sets of these Pokeman cards. How many Pokeman cards are in the shipment? A. 16 B. 748 C. 30,976 D. 31,966

3 5.3C S: Use strategies and algorithms, including the standard algorithm, to solve with proficiency fluency for quotients of up to a four-digit dividend by and a two-digit divisor using strategies and the standard algorithm 7. For one hour, Roberto earns 8,940 points when playing his X-Box game. How many average points per minute were earned by Roberto? A. 894 points B points C. 149 points D. 373 points 5.3D S: represent multiplication of decimals with products to the hundredths using objects and pictorial models, including area models; 8. Each U.S. penny has a width of 2.2 cm. If four pennies are lined up, side-by-side, what is the total length of the four pennies? A. 2.2 cm B. 4.4 cm C. 6.6 cm D. 8.8 cm 5.3E-R: solve for products of decimals to the hundredths, including situations involving money, using strategies based on place-value understandings, properties of operations, and the relationship to the multiplication of whole numbers; 9. A bean plant grows an average of 1.35 cm per week. After 4 weeks, how much has the plant grown? A. 5.4 cm B. 0.4 cm C cm D. 540 cm

4 10. Needing to cut rope, Sam marked the desired length of cm as shown below. If Sam requires five identical lengths of rope, which of the following correctly calculates the total length of rope needed? A. ( ) + ( ) B. (5 x 100) + (5 x 40) + (5 x 8) + (5 x 0.3) C. (5 x 148) + ( ) D. 5(14.8) + 5(0.3) 5.3F-S: represent quotients of decimals to the hundredths, up to four-digit dividends and two- digit whole number divisors, using objects and pictorial models, including area models; 11. The entry to a school has a newly created wall tile design. The tile design is composed of 100 equal squares. The principal decorates 25 squares. Based on the figure shown, 15 students decorated the remaining squares. If the remaining squares were equally divided, what decimal number represents the part of the design decorated by each student? A B C D. 0.05

5 5.3G-R: Solve for quotients of decimals to the hundredths, up to four-digit dividends and two- digit whole number divisors, using strategies and algorithms, including the standard algorithm 12. Sarah and two of her friends help a neighbor clean his yard. The neighbor gives them \$48.75 to share among them equally. Sarah uses expanded notation to find the amount of money each person earned. Her first steps are shown: (48 3) + (0.75 3) Which shows the next correct step in Sarah s solution? A B C D H S: Represent and solve addition and subtraction of fractions with unequal denominators referring to the same whole using objects and pictorial models and properties of operations; 13. At noon, Sam took 1 of an hour to eat his lunch. Then 3 Sam used 1 of an hour to relax before returning to class. What 6 time is it when San returns to class? A) 12:30 p.m. B) 12:35 p.m. C) 12:36 p.m. D) 12:45 p.m. 14. Albert has 2 1 candy bars. He promised his sister that he would share with her ½ 3 of a candy bar. How much will Albert have left after he shares the amount promised with his sister?

6 5.3I S: Represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models; 15. Using the area model, what is 2 5 4? A) 8 20 B) 6 9 C) D) Which of the following stories does NOT represent 3 5 6? A) Isabel had 6 feet of wrapping paper. She used 3/5 of the paper to wrap some presents. How many feet of paper did she use? B) Every day Tim ran 3/5 of a mile. How far did he run after 6 days running the same amount each day? C) Sara saves \$6 each day for 3 days. She then shares the saved money among five friends. How much money does each friend receive? D) Juan earned \$6 for completing his weekly chores. He spent 3/5 of a dollar on candy. How much money does Juan have left? 5.3J S: Represent division of a unit fraction by a whole number and the division of a whole number by a unit fraction, such as 1/3 7 and 7 1/3 using objects and pictorial models, including area models 17. Which expression below represents the area model? A) B) C) D) None of these

7 5.3K R: Add and subtract positive rational numbers fluently 18. A honey bee is 4 of an inch long. A bumble bee is ¾ of an inch long. How much 10 longer is a bumble bee than a honey bee? A) 0.71 inch B) 1.15 inches C) 0.3 inch D) 0.35 inch 19. Sally ran one and a half miles on Friday, 3 miles on Sunday, and 2.75 miles on Tuesday. How far did Sally run on these three days? A) 3.92 miles B) 7.25 miles C) 5.25 miles D) 5.8 miles 5.3L R: divide whole numbers by unit fractions and unit fractions by whole numbers. 20. A fruit drink recipe requires 1 cup of sugar to 2 gallons of water. If the 2 fruit mix is divided equally among 24 servings, how much sugar will each serving contain? A) 24 cups B) 1 cup 12 C) 1 24 cup D) 1 48 cup 21. You purchase a 30-pound bag of dog food. You dog eats a half-apound of dog food per day. How many days will this sack of dog food last? A) 60 days B) 30 days C) 15 days D) None of the above

8 5.4A S: identify prime and composite numbers 22. Emily made each rectangle below using 13 tiles. These are all the arrays she could find for the number 13. Based on the arrays, what should Emily conclude about the number 13? A) The number 13 has no prime factors. B) The number 13 is composite. C) The number 13 is prime. D) The number 13 is neither prime nor composite. 5.4B R: represent and solve multi-step problems involving the four operations with whole numbers using equations with a letter standing for the unknown quantity 23. Mr. Zavala purchased 4 boxes of pears for \$16 per box and 2 watermelons for \$10 each. He paid the clerk for the items and received \$16 in change. Which equation could NOT be used to find a, the amount Mr. Zavala gave the clerk? A) a = (4 x 16) + (2 x 10) + 16 B) a + 16 = (4 x 16) + (2 x 10) C) a [(4 x 16) + (2 x 10)] = 16 D) a 16 = (4 x 16) + (2 x 10) 24. Jamon plans to save the same amount of money each week for 8 weeks. He wants to use the money to buy two used video games that cost \$15 and \$9. Jamon correctly writes and solves an equation to find a, the amount he must save each week. Which could show Jamon s equation and solution? A) a 8 = a = \$24 B) a x 8 = a = \$3 C) a x 8 = a = \$16 D) a x 8 = 15 9 a = \$3

9 5.4C R: generate a numerical pattern when given a rule in the form y = ax or y = x + a and graph. 25. CJ earns \$4 every day for watching his younger sister after school. He writes the equation y = 4x to find the total number of dollars, y, he will have earned in relation to the number of days, x, he watches his sister. Which of the following does NOT correctly align to the numerical pattern generated from the given rule? A) B) Ordered pair (10, 40) C) If CJ watches his sister for 21 days, he earns \$84. D) # of days Earned \$ John and Brad collect firewood. Due to John being bigger than his younger brother Brad, John consistently collects 5 more pounds of firewood than Brad. Given the number of pounds of firewood, x, collected by Brad, Brad writes the equation y = x + 5 to find y, the total pounds of firewood collected by his brother John. If John collects 25 pounds of firewood, how many pounds does Brad collect? A) 30 pounds B) 25 pounds C) 20 pounds D) None of these

10 5.4D S: recognize the difference between additive and multiplicative numerical patterns given a table or graph 27. The table shows the number of assists for Joaquin and Jerome during four basketball games. Jerome s Assists Joaquin s Assists Which best describes the pattern shown in the table? A) It is an additive pattern because the point (0, 0) fits the pattern. B) It is a multiplicative pattern because Jerome s assists are multiplied by 6 to find Joaquin s assists. C) It is a multiplicative pattern because Jerome s assists are doubled to find Joaquin s assists. D) It is an additive pattern because 6 is added to Jerome s assists to find Joaquin s assists. 28. Study each table below. Table A Input Output Table B Input Output Which statement about the tables is true? A) Only Table A shows an additive pattern between the input and output values. B) Only Table B shows an additive pattern between the input and output values. C) Both tables show an additive pattern between the input and output values. D) Neither table shows an additive pattern between the input and output values.

11 5.4E S: describe the meaning of parentheses and brackets in a numeric expression 29. Which sequence of operations gives the correct order of operations needed to simplify the expression below? [(4 + 3) x (8 2)] 2 A) +,, x, B), x,, + C) x,, +, D) +,,, x 5.4F R: simplify numerical expressions that do not involve exponents, including up to two levels of grouping 30. Simplify [( ) + 7)] 2 A) 5 B) 9.5 C) 6 D) Which of the following expressions has the greatest value? A) ( ) 2 5 B) 3 ( ) (2 5) 3 3 C) 3 + [(2 5) ( )] 3 3 D) 2(2 5) ( )

12 Answer Key: 1 D 11 D 21 A 2 C 12 D 22 C 3 A 13 A 23 B 4 B B 6 5 C 15 C 25 D 6 C 16 D 26 C 7 C 17 A 27 C 8 D 18 D 28 A 9 A 19 B 29 A 10 B 20 D 30 C 31 A

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