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Grade 6 Assessment of Reading, Writing and Mathematics, Junior Division Student Booklet Mathematics Spring 2013 RELEASED ASSESSMENT QUESTIONS Record your answers on the Multiple-Choice Answer Sheet. Beginning in 2013, EQAO will make approximately half, rather than all, of its test items (questions) public after each assessment. This process allows EQAO to build up a bank of items that can be used in future years. The best practice for supporting students is to review their achievement of the knowledge or skills being assessed, rather than focus on the specific test items. To facilitate that process, items that are not being published have been described in this booklet, including a reference to the knowledge or skill they assessed. Test booklets and examples of student answers from the past five years also remain available at www.eqao.com. Mathematics Section 1 Section 1: Mathematics Grade 6, Spring 2013 1 Points P and Q are two vertices of a rectangle. y 2 Mrs. Sherman asks students to record their favourite subjects. The data is shown in the graph below. 10 Favourite Subjects 9 8 36 5 6 7 8 9 10 x 6 Which set of ordered pairs could represent the other two vertices of the rectangle? b (8, 4) and (8, 9) c (1, 3) and (1, 8) d (3, 1) and (8, 1) ym La (4, 8) and (9, 8) G a 0 t 4 Ar 3 e 2 nc 1 ie 0 12 Sc 1 18 ge 2 ua 3 24 ng Q h P 4 at 5 30 M 6 Number of students 7 Subjects According to the graph, how many more students chose math as their favourite subject than chose gym? a 7 b 12 c 21 d 33 Student Booklet: Mathematics 3 Section 1: Mathematics Grade 6, Spring 2013 3 Consider the growing pattern shown on the grid below. 5 A parallelogram is shown below. T 6 cm 11 5 cm 10 Term 9 8 12 cm 7 Which rectangle has the same area as this parallelogram? 6 5 a 4 3 5 cm 2 1 0 1 2 3 4 5 n Term number 6 cm b The pattern continues in the same way. What ordered pair represents the next point to be plotted in this pattern? a (4, 9) b (10, 4) c (9, 4) d (4, 10) 4 cm 12 cm c 5 cm 12 cm 4 There are 12 books in a case. There are 6 cases in a box and 24 boxes in a container. If each container of books costs $2592, what is the cost of one book? a $1.50 b $9.00 c $18.00 d $36.00 4 d 6 cm 12 cm Student Booklet: Mathematics Section 1: Mathematics Grade 6, Spring 2013 6 If n × 3 = 24 and n + 40 − s = 36, what is the value of s? a 8 b 10 c 12 d 14 7 The diagram below shows a shoebox without a lid. 29.5 cm es o Sh 9.5 cm 18.0 cm A student covers the outside of the shoebox with construction paper. If the student does not cover the lid, what is the surface area that is covered? a 982.25 cm2 b 1433.50 cm2 c 1964.50 cm2 d 5044.50 cm2 Student Booklet: Mathematics 5 Section 1: Mathematics Grade 6, Spring 2013 8 A store has 11.2 kg of potatoes. Maria buys 572 g of potatoes from the store and Colin buys 1.42 kg of potatoes from the store. After these two purchases, how many grams of potatoes does the store have left? Show your work. The store has __________ grams of potatoes left. 6 Student Booklet: Mathematics Section 1: Mathematics Grade 6, Spring 2013 9 Rotate the hexagon below 90° counter-clockwise about Point X. Draw this image of the hexagon. y 15 14 13 12 11 10 9 X 8 7 A 6 F 5 B 4 D 3 2 E C 1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 x Record the coordinates of the image of Point C. Image of Point C: ( Student Booklet: Mathematics , ) 7 Section 1: Mathematics Grade 6, Spring 2013 10 Consider the two spinners below. Spinner A is divided into 10 equal sections, and Spinner B is divided into 5 equal sections. Spinner A red Spinner B yellow red yellow green blue red red red green pink blue pink red yellow Which colours have the same probability of being spun on Spinner A as they do on Spinner B? Justify your answers. 8 Student Booklet: Mathematics Grade 6, Spring 2013 Section 1: Mathematics 11 A Grade 6 class is having a fundraiser. The class buys 3 bags of apples. Each bag has 24 apples. The total cost of the 3 bags of apples is $12.24. The class sells the apples for $0.75 each. How much money will the class gain per apple? Show your work. The class gains _________ per apple. Student Booklet: Mathematics 9 Section 1: Mathematics 12 Which of the following fractions has the smallest value? Grade 6, Spring 2013 15 Consider the repeating pattern below. a 4 5 b 4 4 c 4 3 b d 4 2 c If the pattern continues in the same way, what will the 54th term be? a d 13 There are 2 blue, 5 green, 6 red and 7 purple marbles in a bag. Erin picks one marble from the bag without looking. What is the probability that she will pick a marble that is purple? a 7% b 20% c 35% d 54% 14 Wasim’s hair grows 0.4 cm each week. At this rate, which is closest to the increase in length of Wasim’s hair over 3 months if it is not cut? a 1 cm b 5 cm c 8 cm d 12 cm 10 16 Which set of data has a mean that is equal to its median? a 4, 5, 5, 7, 9 b 4, 5, 6, 7, 8 c 4, 4, 6, 7, 7, 7, 7 d 5, 5, 5, 5, 6, 8, 8 17 What unit of measure is the most appropriate to estimate the thickness of a dime? a cm b dam c m d mm Student Booklet: Mathematics Grade 6, Spring 2013 Section 1: Mathematics 18 What type of angle is shown below? a acute b right c obtuse d straight Student Booklet: Mathematics 11 Mathematics Section 2 Section 2: Mathematics Grade 6, Spring 2013 Beginning in 2013, EQAO will make approximately half, rather than all, of its test items (questions) public after each assessment. This process allows EQAO to build up a bank of items that can be used in future years. The best practice for supporting students is to review their achievement of the knowledge or skills being assessed, rather than focus on the specific test items. To facilitate that process, items that are not being published have been described in this booklet, including a reference to the knowledge or skill they assessed. Test booklets and examples of student answers from the past five years also remain available at www.eqao.com. 1 compare whole numbers to 100 000 10 describe transformations on a grid 2 estimate quantities using percentage 11 sort polygons by number of lines of symmetry (Application) benchmarks (Thinking) 3 determine relationship between fraction and percent (Knowledge and Understanding) 4 compare and order decimal numbers (Application) 5 demonstrate an understanding of precise measurements (Knowledge and Understanding) 6 conversion of metric units to solve a problem (Application) 7 calculate area of a triangle (Application) 8 calculate volume of a rectangular prism (Thinking) 9 classify polygon by geometric properties (Thinking) (Application) 12 identify and extend a geometric pattern (Knowledge and Understanding) 13 represent a pattern in a table of values (Application) 14 identify a pattern rule (Knowledge and Understanding) 15 extend patterns to solve a problem (Thinking) 16 interpret data on a graph (Application) 17 determine the theoretical probability of an outcome in a probability experiment (Application) 18 demonstrate an understanding of mean (Thinking) (Thinking) Student Booklet: Mathematics 13 2 Carlton Street, Suite 1200, Toronto ON M5B 2M9 Telephone: 1-888-327-7377 Web site: www.eqao.com © 2013 Queen’s Printer for Ontario