AIMS Sample Test Mathematics Grade 6 MATHEMATICS. 24 Revised

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IMS Sample Test Mathematics MTHEMTIS 24 Revised 4-4-06

IMS Sample Test Mathematics IMS Reference Sheet PLNE FIGURES: PERIMETERS N RES Name Triangle Rectangle ircle Parallelogram Trapezoid Notation a, b, c = sides b = base r = radius d = diameter a, b = sides a, b, c, d = sides 1 = long base 2 = short base Perimeter (P) ircumference () P = a + b + c rea () 1 b h bh or = 2 2 P = 2(h + b) b h 2 = πd or = 2πr r P = 2(a + b) b h P = a + b + c + d () h 2 1 2 Use 3.14 or 22 7 for π. GEOMETRI SOLIS: VOLUMES Name Notation Volume (V) Rectangular Prism l = length w = width V l w h Rectangular Pyramid = area of the base 1 h V h or V= 3 3 Right ylinder r = radius 2 V r h Right one r = radius 2 1 2 V r h or V r h 3 3 Sphere r = radius 4 3 V r 3 GEOMETRI SOLIS: SURFE RES Name Notation Surface rea (S) Rectangular Prism l = length w = width S = 2lw + 2lh + 2wh Right ylinder r = radius S 2() r 2 rh 25 Revised 4-4-06

Mathematics IRETIONS: IMS Sample Test Mathematics Read each question and choose the best answer. 1 Sofia ate 3 4 of her candy. What is the 3 Which of these is best describes the rule for the x and y values in the table below? decimal equivalent of 3 4? 0.75 0.50 0.25 Input Output (x) (y) 6 14 7 17 8 20 9 23 10 26 0.20 3x 4 = y 2 Kevin predicted that the arrow on the spinner shown below would stop on S more than any other letter. 2x 4 = y 3x + 4 = y 2x + 4 = y S P 4 Which of the following is the value of P for the problem below? R Q 2304 P 72 2232 Kevin recorded the results of 20 spins. Which of the following most likely represents the results of Kevin s spins? P 4 Q 6 R 6 S 4 2160 72 31 P 2 Q 1 R 9 S 8 P 2 Q 10 R 2 S 6 P 6 Q 4 R 2 S 8 26 Revised 4-4-06

5 Which of the following parallelograms have the same area? IMS Sample Test Mathematics 7 Figure is a rhombus. What should be the coordinates of point? P R P and Q P and R Q and R R and S S Q 10 9 8 7 6 5 4 3 2 1 0 y (3, 5) (1, 3) (3, 1) 1 2 3 4 5 6 7 8 9 10 x 6 group is planning to go to an amusement park. (5, 3) There will be 237 people going on the trip. Only 46 people can ride the rollercoaster at one time. No one will be allowed a second ride until everyone has had a turn. 8 What is the correct placement of the decimal point in the product of the problem below? 1.234 0.90 What is the least number of rollercoaster rides needed for everyone to have a turn? 10 8 111.06 11.106 1.1106.11106 6 3 27 Revised 4-4-06

9 Roscoe wanted to find out which video games to play at his birthday party. Which of the following questions would best help him decide which game to play? IMS Sample Test Mathematics 12 What is the measure of the line segment below to the nearest 1 8 inch? o you like TV better than video games? What do you like to do in your spare time? o you like fruit punch or soda to drink? inches 1 2 3 4 5 What is your favorite video game? 1 2 2 in. 10 What is the least common multiple (LM) of 4 and 14? 3 2 8 in. 1 2 8 in. 2 2 in. 14 28 56 13 aroline and 2 friends are going to the mall on a bus. In how many different orders can the girls get into the front of the bus? 11 rt used an input/output model for the following numbers. Input Output 114 38 111 37 108 36 What is the rule for the input/output model? 3 6 9 12 add 3 subtract 3 multiply by 3 divide by 3 28 Revised 4-4-06

14 Use the clues below to label each cat. IMS Sample Test Mathematics 16 The graph below displays the amount of money collected by Mrs. Rice s class for Pennies for Pets. 1 2 3 4 The gray cat is not first. The tabby cat is to the right of the white cat. The white cat is not last. The black cat is between the tabby and gray cats. Which of the following lists has the cats labeled in the correct order? Money ollected $24 $20 $16 $12 $8 $4 Pennies for Pets 1 2 3 4 5 6 Week white, tabby, black, gray tabby, black, white, gray tabby, black, gray, white white, tabby, gray, black uring which two-week period did the amount of money collected decrease the most? Week 2 and Week 3 Week 4 and Week 5 15 Janae would like to buy a lip gloss and nail polish for each person coming to her party, at the prices given below. Week 1 and Week 2 Week 3 and Week 4 Lip gloss: $2.75 each Nail polish: $1.79 each If Janae has 21 people coming to her party, what will be the total cost before tax is added? $37.59 $57.75 $74.34 $95.34 17 What is the solution to the problem below, in lowest terms? 4 63 16 63 1 3 9 2 3 9 8 2 9 7 29 Revised 4-4-06

18 IMS Sample Test Mathematics arien wants to take the shortest route from her house to school. Elena s home 127 ll distances in meters 60 81 post office store 127 77 36 49 59 113 168 park 31 103 bike shop 70 school Which of the following routes is the shortest path for her to take? home store park school home Elena s park school home store bike shop school home post office Elena s school 19 lexandra spun the arrow of the spinner below 25 times. Her results are shown in the table below. green red yellow blue lexandra s Results olor Number of Occurrences Red 4 lue 6 Yellow 7 Green 8 If lexandra repeats the experiment and spins the arrow of the same spinner 150 times, which of the following is the most reasonable prediction? The arrow will land on the green section 45 times. The arrow will land on the yellow section 28 times. The arrow will land on the blue section more than any other section. The arrow will land on the red section more often than any other color. 30 Revised 4-4-06

IMS Sample Test Mathematics 20 The bus taking Mr. Scott s class on a field trip had a flat tire on the way to the zoo. lass Field Trip to the Zoo istance from School (in miles) 50 40 30 20 10 8:00 8:30 9:00 9:30 10:00 10:30 11:00 Time ased on the graph, approximately when did the bus tire go flat? 8:00 8:30 9:00 9:30 9:30 10:00 10:30 11:00 21 Which of the following shapes has only 1 line of symmetry? R S T U circle hexagon isosceles square triangle R S T U 31 Revised 4-4-06

IMS Sample Test Mathematics 22 The expression 32y is used to convert quarts to ounces, where y is the number of quarts. Using this expression, how many ounces are in 30 quarts? 6 25 Which of the following expressions represents a number (n) less than 12? n 12 62 ounces 12 n 96 ounces n + 12 620 ounces 12 + n 960 ounces 26 What type of solid figure is represented by the drawing below? 23 What is the simplified form of the expression below? 45 2 2 11 14 21 24 cone cylinder pyramid 24 What is the area of this rectangle? prism 7 27 What is the solution to the following problem, in lowest terms? 12 ft. 5 ft. 1 5 8 7 17 ft. 2 5 56 24 ft. 2 34 ft. 2 60 ft. 2 7 40 6 15 5 7 32 Revised 4-4-06

28 IMS Sample Test Mathematics Which pair of figures below shows a reflection across the line? 29 The graph below shows the number of books read each month by Ms. Givens students. Number of ooks Read Each Month Number of books 30 25 20 15 10 5 Team Team Jan. Feb. Mar. pr. Month In which month did Team read more books than Team? January February March pril 33 Revised 4-4-06

30 IMS Sample Test Mathematics Norma will use the grid to plot the ordered pairs (3, 4), (4, 6), (7, 6), and (8, 4). If she connects the four points with line segments, which figure will represent her drawing? y y O x O x y y O x O x 34 Revised 4-4-06

IMS Sample Test Mathematics 31 local restaurant is advertising a combination dinner special. onna can choose one entrée, one side, and one drink. Entrée Hamburger hicken Sandwich Lasagna Side Salad Fruit hips rink Milk Juice Soda ccording to the menu, from how many different dinner combinations can onna choose? 27 18 9 3 32 The shaded area in the rectangle below is 96 square yards. Which of the following is the most reasonable estimate of the area of the entire rectangle? 200 square yards 250 square yards 300 square yards 350 square yards 35 Revised 4-4-06

33 Which of the following terms could not be used to describe the polygon below? IMS Sample Test Mathematics 35 The rule for the pattern below is to multiply the preceding term by 3. 2, 6, 18, ontinuing with this pattern, what number would be the 5 th term? quadrilateral square parallelogram 1,458 486 162 54 rhombus 34 Using the map below, what is the measure of the shortest route from the playground to the cafeteria? 36 Which number is missing from the numerical pattern? 20, 36, 52,, 84, 100, 116 25 5 21 Playground 64 68 32 38 21 23 33 76 10 8 27 3 78 afeteria ll distances in meters 81 meters 70 meters 65 meters 38 meters 36 Revised 4-4-06

37 Use the protractor below to find the measure of IMS Sample Test Mathematics. What appears to be the measure of? 105 80 75 70 37 Revised 4-4-06