Grade 6. Mathematics. Student Booklet. Spring Assessment of Reading, Writing and Mathematics, Junior Division RELEASED ASSESSMENT QUESTIONS
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1 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
2 Mathematics Section 1
3 Grade 6, Spring 2013 Section 1: Mathematics 1 Points P and Q are two vertices of a rectangle. y P Which set of ordered pairs could represent the other two vertices of the rectangle? a (, 8) and (9, 8) b (8, ) and (8, 9) c (1, 3) and (1, 8) d (3, 1) and (8, 1) Q x 2 Mrs. Sherman asks students to record their favourite subjects. The data is shown in the graph below. Number of students 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 Gym Favourite Subjects Math Language Subjects Science Art Student Booklet: Mathematics 3
4 Section 1: Mathematics Grade 6, Spring Consider the growing pattern shown on the grid below. 5 A parallelogram is shown below. T Term n 6 cm Which rectangle has the same area as this parallelogram? a 5 cm 5 cm 12 cm 6 cm The pattern continues in the same way. What ordered pair represents the next point to be plotted in this pattern? a (, 9) Term number b cm 12 cm b (10, ) c c (9, ) d (, 10) 5 cm There are 12 books in a case. There are 6 cases in a box and 2 boxes in a container. If each container of books costs $2592, what is the cost of one book? a $1.50 d 6 cm 12 cm b $9.00 c $ cm d $36.00 Student Booklet: Mathematics
5 Grade 6, Spring 2013 Section 1: Mathematics 6 If n 3 = 2 and n + 0 s = 36, what is the value of s? a 8 b 10 c 12 d 1 7 The diagram below shows a shoebox without a lid cm Shoes 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 cm 2 b cm 2 c cm 2 d cm 2 Student Booklet: Mathematics 5
6 Section 1: Mathematics Grade 6, Spring A store has 11.2 kg of potatoes. Maria buys 572 g of potatoes from the store and Colin buys 1.2 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
7 Grade 6, Spring 2013 Section 1: Mathematics 9 Rotate the hexagon below 90 counter-clockwise about Point X. Draw this image of the hexagon. y X 7 6 A 5 F B 3 D 2 1 E C x Record the coordinates of the image of Point C. Image of Point C: (, ) Student Booklet: Mathematics 7
8 Section 1: Mathematics Grade 6, Spring Consider the two spinners below. Spinner A is divided into 10 equal sections, and Spinner B is divided into 5 equal sections. Spinner A Spinner B red red yellow yellow blue red green red red pink green 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
9 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 2 apples. The total cost of the 3 bags of apples is $12.2. 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
10 Section 1: Mathematics Grade 6, Spring Which of the following fractions has the smallest value? 15 Consider the repeating pattern below. a b c 5 3 If the pattern continues in the same way, what will the 5th term be? a b d 2 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 5% 1 Wasim s hair grows 0. 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 b c d 1 cm 5 cm 8 cm 12 cm c d 16 Which set of data has a mean that is equal to its median? a, 5, 5, 7, 9 b, 5, 6, 7, 8 c,, 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 b c d cm dam m mm 10 Student Booklet: Mathematics
11 Grade 6, Spring 2013 Section 1: Mathematics 18 What type of angle is shown below? a b c d acute right obtuse straight Student Booklet: Mathematics 11
12 Mathematics Section 2
13 Grade 6, Spring 2013 Section 2: Mathematics 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 1 compare whole numbers to estimate quantities using percentage benchmarks (Thinking) 3 determine relationship between fraction and percent (Knowledge and Understanding) compare and order decimal numbers 5 demonstrate an understanding of precise measurements (Knowledge and Understanding) 6 conversion of metric units to solve a problem 7 calculate area of a triangle 8 calculate volume of a rectangular prism (Thinking) 9 classify polygon by geometric properties (Thinking) 10 describe transformations on a grid (Thinking) 11 sort polygons by number of lines of symmetry 12 identify and extend a geometric pattern (Knowledge and Understanding) 13 represent a pattern in a table of values 1 identify a pattern rule (Knowledge and Understanding) 15 extend patterns to solve a problem (Thinking) 16 interpret data on a graph 17 determine the theoretical probability of an outcome in a probability experiment 18 demonstrate an understanding of mean (Thinking) Student Booklet: Mathematics 13
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2. If C is the midpoint of AB and B is the midpoint of AE, can you say that the measure of AC is 1/4 the measure of AE?
MATH 206 - Midterm Exam 2 Practice Exam Solutions 1. Show two rays in the same plane that intersect at more than one point. Rays AB and BA intersect at all points from A to B. 2. If C is the midpoint of