_______________________________________________________ 2010 ISAT Mathematics Form LM Sample Book - Grade 5
_______________________________________________________ 2010 ISAT Mathematics Form LM Sample Book - Grade 5 3484053 3 3484053_AR1 3484054 4 A pizza is cut into 8 equal pieces. Ben eats 2 pieces. Sam eats 3 pieces. 3484054_AR1 A store is having a sale. The items are 50% off regular price. Items on Sale 3 5 A B ≥ Regular Price (including tax) Hat Shirt CD Coat $ 10.95 $ 21.05 $ 15.95 $ 21.92 About how much money is needed to buy 1 of each item at the sale price? What fractional part of the pizza did Ben and Sam eat? 3 8 Item 5 8 8 5 $30 C D A $35 ≥B $60 $70 C D 3484055 5 A school has fifty teachers. Six out of every ten teachers have a pet. How many teachers have a pet? A 6 B 10 ≥C 30 D 66 GO ON 6 _______________________________________________________ 2010 ISAT Mathematics Form LM Sample Book - Grade 5 3484056 6 3528387 8 Anish went to sleep at 9:00 P.M. and woke up at 6:30 A.M. 3528387_AR1 Use your centimeter ruler to answer this question. How long did he sleep? A 3 1 hours 2 B 7 1 hours 2 C 8 1 hours 2 ≥D 9 1 hours 2 Which is closest to the perimeter of this triangle? 3484057 7 3484057_AR1 A 5 cm B 7 cm ≥C 12 cm D 15 cm What is the perimeter of the figure? 3484058 9 6 feet What is the value of the expression below when m = 4? m+m-3 5 feet 1 A 2 feet 10 feet ≥ 5 B 11 C 13 D ? ? 36 feet ≥A 28 feet 23 feet 13 feet B C D GO ON 7 _______________________________________________________ 2010 ISAT Mathematics Form LM Sample Book - Grade 5 3484059 10 3484059_AR1 12 The drawing below is an input-output machine. What is n ? Input ≥ 3347613 Add 7 Subtract 3 Output The input is 5. What is the output? A B ≥ 9 12 C D ne 4 XIJ321.AR1 El Pi 2 XIJ321 13 m Ash Maple 3484060 11 Oak Mr. Smith is 36 years old. His son is 8 years old. Mrs. Smith is n years old. Their three ages added together equals 77. Which correctly represents this information? Which streets do not intersect? A Elm and Pine 36 # n ! 8 " 77 B Oak and Maple C 77 # 36 ! 8 " n C Pine and Ash ≥D 36 ! n ! 8 " 77 D Ash and Oak A 77 ! 36 ! 8 " n B GO ON 8 _______________________________________________________ 2010 ISAT Mathematics Form LM Sample Book - Grade 5 3347619 14 3347619_AR1 What type of angle is made by the hands of the clock? 1112 1 2 10 9 3 8 4 76 5 ≥A B Obtuse C Acute Right D Straight 3484062 15 3484062_AR1 Which two figures look congruent? M N P O O and M N and P A B Q N and R ≥ C R P and Q D GO ON 9 _______________________________________________________ 2010 ISAT Mathematics Form LM Sample Book - Grade 5 3484061 16 3484061_AR1 3484064 17 3484064_AR1 The graph shows daily temperatures for North Town. What is the distance from point G to point H? Average Daily Temperature G 10 A 3 units ≥B 10 units C 13 units D 26 units 35° 20 Temperature (°F) 0 H 30° 25° 20° 15° 10° 5° 0° Sun. Mon. Tues. Wed. Thurs. Fri. Sat. Day What is the difference in the average daily temperatures for Monday (Mon.) and Wednesday (Wed.)? 0 °F ≥A 5 °F 10 °F 25 °F B C D GO ON 10 _______________________________________________________ 2010 ISAT Mathematics Form LM Sample Book - Grade 5 3408731 18 XIF606 20 Beth recorded the highest temparature for seven days. XIF606.AR1 to AR5 Tim’s mother put these cookies on a plate. 90°, 87°, 95°, 96°, 93°, 88°, 88°. What is the mean (average) temparature? 88° 90° A B ≥ 91° 96° C D 3484065 19 Tim takes a cookie without looking. 3484065_AR1 Which will he most likely get? The spinner has six equal parts. 1 6 2 5 3 A C ≥B D 4 What is the probability that the arrow will land in a space labeled with an odd number? 1 6 2 6 A B ≥ 3 6 4 6 C D GO ON 11 _______________________________________________________ 2010 ISAT Mathematics Form LM Sample Book - Grade 5 21 22 3347639 The dimensions of a rectangular prism are shown below. !"#$%&'(#$)"*+)$%"#$&,#&$-. )/0&,#$1-(#)$2*,$3$4-22#,#.%$)%&%#)5 !"#$%*%&($.01'#,$*2$)/0&,#$1-(#)$2*,$ %",##$)%&%#)$-)$66786395 2 in. State Square Miles State Square Miles Illinois 55,593 Hawaii 6,423 Ohio Vermont Wisconsin 6 in. 5 in. 40,953 9,249 What is the volume of this rectangular prism? (Volume " l $ w $ h) 54,314 :"-;"$<$)%&%#)$&,#$-.$%"#$%*%&(= ≥A Illinois, Vermont, Wisconsin B Vermont, Wisconsin, Hawaii C Wisconsin, Ohio, Vermont D Ohio, Hawaii, Illinois A 13 cubic inches B 30 cubic inches C 60 cubic inches D 104 cubic inches GO ON 12 _______________________________________________________ 2010 ISAT Mathematics Form LM Sample Book - Grade 5 3347613 23 25 On Todd's map, 1 inch = 200 miles. It is 5 Which is true about the prism? iinches from Todd's house to his friend's house on the map. B A How many miles is it from Todd's house to his friend's house? ≥ D F E 24 C G H A AD intersects BF . B BC is parallel to CG . C GH is parallel to AE . D AE is perpendicular to EH . >,&.4*.$+#-?")$3@$A*0.4)5$B&%# +#-?")$(#))$%"&.$>,&.4*.5 C2$B&%#$+#-?")$. A*0.4)8$+"-;" *2$%"#)#$-)$%,0#? A n % 58 B C n " 58 n & 58 D n ! 58 STOP 13 _______________________________________________________ 2010 ISAT Mathematics Form LM Sample Book - Grade 5 Short-Response Sample Items Followed by Scoring Rubric Student Samples Using Short-Response Samples Beginning with the spring 2008 ISAT, the sample short-response question and answer (shown below) that appeared in the 2006 and 2007 ISAT test directions will no longer be included in the directions immediately prior to session 2. ISBE encourages educators to practice these types of items with students during the course of the school year so they are familiar with them prior to ISAT testing. SAMPLE SHORT-RESPONSE QUESTION Sam can buy his lunch at school. Each day, he wants to buy juice that costs 50¢, a sandwich that costs 90¢, and fruit that costs 35¢. Exactly how much money does Sam need to buy lunch for 5 days? Show your work and label your answer. SAMPLE SHORT-RESPONSE ANSWER $1.75 50¢ + 90¢ + 35¢ =each day for My answer $8.75 3 2 1.75 1.75 1.75 1.75 5 1.7_ +_ _ $8.75 for five days Please refer to the 2006 and 2007 ISAT sample books for additional short-response items and student samples (online at www.isbe.net/assessment/htmls/sample_books.htm). 16 _______________________________________________________ 2010 ISAT Mathematics Form LM Sample Book - Grade 5 3484066 1 Draw a closed figure with 5 sides. Make 2 of the angles right angles. 3484066 1 Dibuja una figura cerrada con 5 lados. Haz que 2 de los ángulos sean rectos. NO ESCRIBAS AQUÍ. USA LA PÁGINA __ EN TU DOCUMENTO DE RESPUESTAS PARA CONTESTAR LA PREGUNTA 1. 20 GO ON _______________________________________________________ 2010 ISAT Mathematics Form LM Sample Book - Grade 5 3347656 2 Draw a rectangle in your answer document, and label the vertices E, F, G, and H. List all the pairs of line segments that are parallel. 3347656 2 Dibuja un rectángulo en tu respuesta, y señala los vértices con E, F, G y H. Enumera los pares de líneas que son paralelas. NO ESCRIBAS AQUÍ. USA LA PÁGINA __ EN TU DOCUMENTO DE RESPUESTAS PARA CONTESTAR LA PREGUNTA 2. 21 GO ON _______________________________________________________ 2010 ISAT Mathematics Form LM Sample Book - Grade 5 3347658 3 3347658_AR1 Triangle ABC is similar to triangle DEF. D A ? 5 4 B 3 E C 6 F Find the measure of DE. Show your work. DO NOT WRITE HERE. USE PAGE __ IN YOUR ANSWER DOCUMENT TO ANSWER QUESTION 3. 22 GO ON _______________________________________________________ 2010 ISAT Mathematics Form LM Sample Book - Grade 5 3347658 3 3347658_AR1 Triángulo ABC es similar al triángulo DEF. D A ? 5 4 B 3 E C 6 F Calcula la medida de DE. Muestra tu trabajo. NO ESCRIBAS AQUÍ. USA LA PÁGINA __ EN TU DOCUMENTO DE RESPUESTAS PARA CONTESTAR LA PREGUNTA 3. 23 STOP _______________________________________________________ 2010 ISAT Mathematics Form LM Sample Book - Grade 5 Using Extended-Response Samples Beginning with the spring 2008 ISAT, the sample extended-response problem and solution (shown below) that appeared in the 2006 and 2007 ISAT test directions will no longer be included in the directions immediately prior to session 3. ISBE encourages educators to practice these types of items with students during the course of the school year so they are familiar with them prior to ISAT testing. SAMPLE EXTENDED-RESPONSE PROBLEM Mrs. Martin wants to put tiles on the floor by the front door of her house. She wants to use 3 different colors of tiles in her design. She also wants 1 — of the tiles to be blue, 2 1 — of the tiles to be gray, and 4 1 — of the tiles to be red. 4 Use the grid below to design a floor for Mrs. Martin. Label each tile with the first letter of the color that should be placed there. Show all your work. Explain in words how you found your answer. Tell why you took the steps you did to solve the problem. SAMPLE EXTENDED-RESPONSE SOLUTION B B G R B B G R B B G R B B G R B B G R B B G R –1 2 blue –1 gray 4 –1 4 red First, I know that there are 4 equal rows, so 2 rows is half and 1 row is –41 . So I made 2 rows B for blue because she wants half the tiles blue. Then I made 1 row G for gray because she wants –41 of the tiles to be gray. Since she wants gray and red to be the same amount of tiles, I made the last row R for red. Please refer to the 2006 and 2007 ISAT sample books for additional extended-response items and student samples (online at www.isbe.net/assessment/htmls/sample_books.htm). 35 _______________________________________________________ 2010 ISAT Mathematics Form LM Sample Book - Grade 5 3484067 1 The number of fifth-grade students going to the museum is greater than 30 but less than 50. Each student will have a partner on the bus. At the museum, there will be groups of exactly 6 students. How many students could be going to the museum? Show all your work. Explain in words how you found your answer. Tell why you took the steps you did to solve the problem. 3484067 1 La cantidad de alumnos de quinto grado que va al museo es mayor de 30 pero menor de 50. Cada estudiante tendrá un socio en el autobús. En el museo habrá grupos de exactamente 6 estudiantes. ¿Cuántos estudiantes podrán ir al museo? Demuestra tu trabajo. Explica con palabras cómo llegaste al resultado. Relata por qué seguiste esos pasos para solucionar el problema. NO ESCRIBAS AQUÍ. USA LA PÁGINA __ EN TU DOCUMENTO DE RESPUESTAS PARA CONTESTAR LA PREGUNTA 1. 40 GO ON _______________________________________________________ 2010 ISAT Mathematics Form LM Sample Book - Grade 5 3347647 2 There were 84 students at a party. Square tables and round tables were used for seating. Each square table had 8 seats, and each round table had 10 seats. How many square tables and round tables could have been used so that all 84 students had a seat and there were no empty seats? Show all your work. Explain in words how you found your answer. Tell why you took the steps you did to solve the problem. 2 3347647 En una fiesta hay 84 estudiantes. Para sentarlos se usaron mesas redondas y cuadradas. Cada mesa cuadrada tiene 8 lugares, y cada mesa redonda 10 lugares. ¿Cuántas mesas cuadradas y redondas se usaron para ubicar a los 84 estudiantes, sin que hayan sobrado sillas? Demuestra tu trabajo. Explica con palabras cómo llegaste al resultado. Relata por qué seguiste esos pasos para solucionar el problema. NO ESCRIBAS AQUÍ. USA LA PÁGINA __ EN TU DOCUMENTO DE RESPUESTAS PARA CONTESTAR LA PREGUNTA 2. 41 STOP
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