PART 2 STRAIT REGIONAL SCHOOL BOARD GRADE 7 ASSESSMENT June, 2009 NAME _________________________ Teacher _________________________ School _________________________ MULTIPLE CHOICE: Please write the letter of the best possible answer in the space at the left. ( 1 point each) 24. __C___ The order of rotational symmetry of a regular hexagon is A) 2 B) 3 C) 6 D) 12 25. ___D____ Which number is halfway between 10% and 11%? A) 10.5 B) 10.2 C) 1.05 D) 0.105 26. __C____ What is the value of -10 – ( -64 8) ? A) 2 B) -18 C) -2 D) 6.75 27. ___C__ Joe received these test scores: 80, 96, 84, 91, 90, 84, 60, 88. If he wants to impress his mother, which of the following would he choose to represent his marks? A) Mean B) Mode C) Median D) Range 28. __D__ Kelly ate one-fifth of a pizza, Freda ate 0.3 of the pizza and Jones ate 40% of the pizza. How much of the pizza was left uneaten? A) 90% B) 30% C) 20% D) 10% 29. __B__ Which subtraction statement is represented by the set of diagrams at the right? ( Shaded markers are positive.) A) (+4) – (+5) B) (+4) – (-5) C) (-4) – (+5) D) (-4) – (-5) 30. ___D_ What is the value of 6n – 5 when n = 0? A) 0 B) 1 C) 5 D) -5 31.__A__ Nick traveled from the top of Fox Mountain at an elevation of 1008 m above sea level, to the bottom of Mist Valley which was 86 m below sea level. What was the change in altitude between Fox Mountain and Mist Valley? A) -1094 m B) -922 m C) 922 m D) 2188 m 32. __B__ Which equation is modeled by this diagram. A) x + 3 = 11 B) 2x + 3 = 11 C) 2x + 3 = 9.2 D) 2x – 3 = 11 33.___B__ Which choice below expresses 182 000 in scientific notation? A) 18.2 x 104 B) 1.82 x 105 C) 1.82 x 103 D) 0.182 + 106 34.__C__ Which equation fits the table at the left? A) s = 4h B) h = 3s +1 h s 1 4 C) s = 3h +1 2 7 3 10 10 31 D) h = 3s - 1 35. _B__ Rodney had a cube made from Play Dough. He sliced a small regular pyramid from each of its vertices. The solid Rodney made after cutting had A) 8 vertices B) 14 faces C) 12 edges D) 24 faces 36. _A___Which statement could be inferred from reading the histogram on the right? A) Few seniors older than 85 live in apartments. B) More than half of seniors older than 80 live in apartments. C) Most seniors own their own condominiums. D) The median age of seniors living in apartments is 80. 37. __C__Braemore Co-Op sells oranges for $5.58/dozen. What will 8 oranges cost at this price? A) $2.68 B) $3.78 C) $3.72 D) $4.10 38.__D__ Sam was running home from the soccer field. He stopped to rest for a moment, realized that he had forgotten his Jersey at the soccer field and ran back to get it. Which graph below best fits Sam’s situation? PART B: Please show all of your work for this part of the assessment. Be sure to attempt all questions because marks will be given for partial answers. ( 3 points each) 39. Pierre drives 75 km/h in winter. If he drives for 2 h and 20 minutes at this speed, what distance will he travel? Show all work. 40. Use a model of you choice to show how to find: (+4) x (-2). Write a sentence to explain your model. 2 h 20 min = (2 x 60 + 20) min = 140 min Use double-sided counters. The white side of the counters are positive. This statement can be interpreted as “Put on 4 sets of (-2).” Use equivalent rates: 75 km = 15 km = 5 km = 2.5 km = 175 km 60 min 12 min 4 min 2 min 140 min OR Use a unit rate. 75 km/60 min = 1.25 km/ min 140 min x 1.25 km/min = 175 km This makes a set of (-8) 41. Draw an equilateral triangle using FG as one of its sides. Describe your method. Be sure to state what tools you used. F G Students can use Bullseye or compass to create 3 equal sides. Protractor and ruler to make base angles of 60 degrees. Ruler and protractor to make perpendicular bisector and a point equidistant from F and G. 42. Describe one or more transformations that would move the white shape on top of the shaded shape. EITHER Reflect the white pre-image through the vertical line. Then take the resulting image and translate it [0, -2] OR Translate the white pre-image [0, -2]. Then take the resulting image and reflect it through the vertical line. 43. Mr. Smith has 10 math students . When he gave back his Math test, he found the following: Mean: 72% Mode: 65% Later Mr. Smith found an error in the answer key and decided to increase every student’s grade in the class by 5%. A) How did this affect the mean, median, and the mode? All three measures of central tendency increased by 5 %. Median: 65% B) Create a set of ten marks that will fit the mean, median and mode before the correction was made. (The lowest mark was 53% before corrections were made.) Many possible solutions. Students should use the extreme, the mode and the fact that the sum must be 10 x the mean = 720. One possibility 53, 65, 65, 65, 65, 65, 85, 85, 85, 87 44. Amanda wanted a pair of soccer shoes that sold regularly for $125.00. She waited until they were put on sale at a 30% discount. What total must she pay if she buys them on sale and the HST is 13%? Discount = 30% of $125.00 = 0.3 x $125.00 = $37.50 Sale Price: $125.00 - $37.50 = $87.50 HST = 13% of $87.50 = 0.13 x $87.50 = $11.375 or $11.38 Total = $87.50 + $11.38 = $ 98.88 PART C: 6 points each. Show all steps here. Points will be given for partial answers. 45. John is making a pattern from 1 cm cubes. A) Draw the next three sketches in his pattern. B) Write an equation that relates the number of cubes used to the diagram number and use your equation to find what diagram number requires 96 cubes. Diagram 1, Diagram 2, Diagram 3, Diagram 4 Diagram 5 Diagram 6 B) Use drawings I see a blank square that is enclosed by cubes along each of its sides and then 4 corner cubes are added. Each time the diagram number increases, the length of the blank square increases by 1 and four extra cubes must be added to enclose the centre square. This means that the number of cubes needed is 4 times the diagram number plus 4 more cubes to fill in the corners. Equation: c = 4d + 4 OR Construct a table. d 1 2 3 4 5 c 8 12 16 20 24 I notice that the number of cubes used increases by 4 for each increase in diagram number so this tells me that the equation will have a multiply by 4 term. c = 4n + 4 works for all the sections of the table For 96 cubes, c = 4d + 4 96 = 4d + 4 96 - 4 = 4d + 4 -4 92= 4d 92= 4d 4 4 23 = d The 23rd diagram requires 96 cubes. 46. Mary likes playing games of chance. She bets $0.25 only if the probability of winning is greater than 50%. If a player wins when the arrows on both spinners land on Red, should she bet on this game? Justify your answer. Red Red Red Blue Tree diagram of possibilities : Outcomes List: Spinner 1 Red, Red Red, Red Red, White Red Red Blue Spinner 2 Red Red White Red Red White Red Red White Red White Red, Red Red, Red Red, White Blue, Red Blue, Red Blue, White There are a total of nine outcomes. Four of these show Red on both spinners so the probability of 4 spinning double Red is or 0.4444 or about 44%. 9 Since Mary bets only when the probability of winning is above 50%, she should not bet in this case.