Grade 6. Mathematics. Student Booklet SPRING 2009 RELEASED ASSESSMENT QUESTIONS. Assessment of Reading, Writing and Mathematics, Junior Division

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1 Grade 6 Assessment of Reading, Writing and Mathematis, Junior Division Student Booklet Mathematis SPRING 2009 RELEASED ASSESSMENT QUESTIONS Please note: The format of these booklets is slightly different from that used for the assessment. The items themselves remain the same.

2 Mathematis Grade 6, Spring 2009 Whih of the following lists shows these numbers in order from least to greatest? Rebea reates a net of a retangular prism, as shown below. EQME , 12.50, 0.125, a 0.125, 12.50, 1.250, b 125.0, 12.50, 1.250, , 125.0, 0.125, d 0.125, 1.250, 12.50, * 30 m Chandra, Brittany, Ben and Daniel buy different sandwihes and salads for lunh. Their hoies are shown below. EQME21115 Chandra Brittany Ben Daniel Pries for Lunh Salad Sandwih $4.48 $3.99 $4.48 $4.99 $3.49 $4.99 $3.49 $ m What is the total surfae area of the retangular prism? a 450 m 2 b 600 m 2 5 m 5 m Whih person should reeive about $2.50 hange from $10.00? a b Chandra Brittany Ben d Daniel * 650 m 2 * d 750 m 2 Ravi makes 2.80 L of pudding. He wants to ompletely fill 350 ml ups with pudding. Whih of the following expressions an be used to find how many 350 ml ups Ravi an fill? a * EQME10294 b d Student Booklet: Mathematis

3 Grade 6, Spring 2009 Mathematis If a 24, what is the value of e in the equation a e 27? EQME21102 a 3 * b 9 15 d 51 Consider the five terms in the following pattern. EQME10193 If the pattern ontinues in the same way, how many irles will be in the seventh term? a 21 b 25 d * KU-MP05 Student Booklet: Mathematis 3

4 Mathematis Grade 6, Spring 2009 Construt a pentagon on the grid below that meets the following onditions. EQME21089 exatly 1 line of symmetry 2 obtuse angles 2 right angles 1 aute angle at least 1 side with a length of 3 units Draw the line of symmetry on your pentagon. 4 Student Booklet: Mathematis

5 Grade 6, Spring 2009 Mathematis Keenan plaes 3 green marbles, 4 yellow marbles and 1 blue marble in a bag. EQME21119 Keenan then adds 1 green marble and 1 yellow marble to the bag. Does the probability that Keenan will randomly hoose a yellow marble inrease, derease or stay the same? Cirle one: Inreases Dereases Stays the same Justify your answer. Student Booklet: Mathematis 5

6 Mathematis Grade 6, Spring 2009 Ms. Lewis has 50 bloks. She uses 22 of these bloks to make the pattern shown below. EQME21138 Stage 1 Stage 2 Stage 3 Stage 4 How many stages will Ms. Lewis be able to omplete with the 50 bloks? Justify your answer. 6 Student Booklet: Mathematis

7 Grade 6, Spring 2009 Mathematis Determine the area of the parallelogram below. EQME units 2 units 4 units The area of the parallelogram is. Draw a triangle and a retangle eah with the same area as the parallelogram. Use the grid below. Justify your answers. Student Booklet: Mathematis 7

8 Mathematis Grade 6, Spring 2009 The bar graph shows the number of pages the boys and girls in Miss Jaya s lass read in one week. EQME21140 Number of Pages Read in Miss Jaya s Class The spinner below has 8 equal-sized setions Number of pages read Monday Tuesday Wednesday Day Thursday Friday The spinner is spun one time. What is the probability that the arrow will land in a setion with a number greater than 3? EQME10211 a b * d Legend Boys Girls Whih onlusion an be made about the number of pages read? a b d The boys read more pages than the girls during this week. The girls read more pages than the boys during this week. The students read more pages on Tuesday than on Monday. The boys and the girls read the same number of pages during this week. * 8 Student Booklet: Mathematis

9 Grade 6, Spring 2009 Mathematis The pitograph below shows the number of goals sored by three hokey teams. EQME21031 Hokey team Eah A B C Key Goals Number represents 12 goals. Number of goals Goals vs. Team A B C Teams Whih bar graph represents the data shown in the pitograph? a Number of goals Goals vs. Team d Number of goals Goals vs. Team A B C 0 A B C Teams Teams b 64 Goals vs. Team * AP-MD06 56 Number of goals A B C Teams Student Booklet: Mathematis 9

10 Mathematis Grade 6, Spring 2009 Whih rule desribes the following pattern? 1, 2, 4, 8 EQME10282 Look at the ladybug below. EQME21021 a b d Start with 1 and add 1 to find the next term. Start with 1 and add 2 to find the next term. Start with 1 and divide by 2 to find the next term. Start with 1 and multiply by 2 to find the next term. * The ladybug is rotated three times in the following order. 90 ounter-lokwise 180 lokwise If 6 a 54 and b a 14, what is a b? a 32 b 45 EQME lokwise Whih of the following best illustrates the ladybug s position after the three rotations? a 126 d 207 * b * d 10 Student Booklet: Mathematis

11 Grade 6, Spring 2009 Mathematis Points A, B and C lie on a line in the polygon shown below. EQME21063 C D Angle A B C Type Aute Straight Obtuse B D Right E Right Whih table best lassifies the angles of the polygon? a b A Angle A B C D E Angle A B C D E Type Obtuse Straight Aute Aute Right Type Aute Right E Obtuse Obtuse Straight d * Angle Type A regular polygon is reated with angles of 60 and sides of 4 m in length. Whih statement below desribes this polygon? EQME21080 a b d A B C D E Aute Straight Obtuse Obtuse Right triangle with perimeter of 12 m * PS-MG04 triangle with perimeter of 16 m rhombus with perimeter of 12 m rhombus with perimeter of 16 m Student Booklet: Mathematis 11

12 Mathematis Grade 6, Spring 2009 What is the area of the triangle shown below? 13 m a 60 m 2 * b 65 m m 2 d 156 m 2 5 m 24 m 13 m EQME21130 Elda has a retangular piee of paper with an area of 0.12 m 2. She uts this piee of paper into small retangles eah with an area of 200 m 2. EQME21083 What is the maximum number of these small retangles that Elda an ut? Natasha is 12 years old. Her teaher is 36 years old. Whih ratio represents Natasha s age in 4 years to her teaher s age in 4 years? EQME21142 a 1:3 b 2:5 * 3:10 d 4:9 Mrs. Evans has 30 students in her lass. The lass has about 75% girls. What is the best estimate of the number of boys in Mrs. Evans s lass? EQME10237 a 3 b 8 * 15 d 23 a 6 * b 12 A repeating pattern is shown below. EQME d 60 A diagonal of a parallelogram is drawn forming 2 triangles. If the area of one of the triangles is 34 m 2, what is the area of the parallelogram? a 17 m 2 EQME10185 b 34 m 2 68 m 2 * What is the 16 th figure in the pattern? a b d 136 m 2 d * 12 Student Booklet: Mathematis

13 Grade 6, Spring 2009 Mathematis Anya shows a pattern on the grid below. EQME21133 y The shape below is refleted aross the dotted line and then rotated 90 lokwise about point X x Whih of the following shows the shape after the two transformations? EQME21060 a X X If the pattern ontinues in the same way, whih oordinates represent a point in this pattern? a (6, 11) * b (6, 12) (7, 11) d (7, 12) b X X d * X Student Booklet: Mathematis 13

14 Mathematis Grade 6, Spring 2009 The table below shows the weekly video sales at a store over a five-week period. EQME21104 Videos Sold Week Number of videos sold Draw a broken-line graph to represent this data. Show titles and labels on the graph. Explain why a broken-line graph is the most appropriate graph to represent this data. 14 Student Booklet: Mathematis

15 Grade 6, Spring 2009 Mathematis Carmen wants to install a fene. Eah setion of fene is 2.4 metres long and osts $6.00 per metre. Carmen will need 16 setions of fene. How muh hange should he reeive from $250? EQME10229 Show your work. Student Booklet: Mathematis 15

16 Mathematis Grade 6, Spring Consider the frations and 1. EQME Whih of these frations is larger? PS-MN04 Justify your answer. The larger fration is. 3 3 Find a fration between and Justify your answer. 3 3 A fration between and 1 is Student Booklet: Mathematis

17 Grade 6, Spring 2009 Mathematis Plot and label the following points to form parallelogram PQRS on the grid below. EQME21135 P (9, 12) Q (9, 8) R (7, 6) S (7, 10) y x Rotate parallelogram PQRS 90 ounter-lokwise about point R. Draw the new parallelogram on the grid above. Student Booklet: Mathematis 17

18 Mathematis Grade 6, Spring 2009 It takes Nadeem 22 minutes to walk 1 kilometre. At this rate, approximately how long will it take Nadeem to walk 5 kilometres? a 1 hour EQME21048 Samantha spills a milkshake on a retangular piee of paper as shown below. EQME10256 b 2 hours * d 100 hours 110 hours Whih expression is equivalent to 128 2? a (120 2) (8 2) * b (120 2) (8 2) (120 2) (8 2) d (120 2) (8 2) EQME21099 Whih of the following best approximates the area of the entire spill? a 100 m 2 b 300 m 2 * 400 m 2 d 600 m 2 18 Student Booklet: Mathematis

19 Grade 6, Spring 2009 Mathematis Whih expression an be used to find the area of the shaded region? EQME10259 Judith reords the amount of rainfall at her shool for one week. EQME21139 Amount of Rainfall Day Amount of rainfall (mm) 6 m 4 m Sunday 20 3 m Monday Tuesday m Wednesday Thursday a * b d A lass reords the olour of the ars that drive past the shool in a short period. These data are shown in the table below. EQME21062 Car Colour What is the mean amount of rainfall for the week? a 20 mm * b d Friday Saturday 22 mm 23 mm 25 mm Colour Blak Blue Grey Red White Number of ars Based on these data, if 40 ars drive past the shool, how many ars ould be expeted to be blue? a 3 b * d 30 Student Booklet: Mathematis 19

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