Grade 7 Mathematics Final Examination Sample June Section A. Selected Response. Constructed Response

Transcription

1 NAME: Grade 7 Mathematics Final Examination Sample June 2009 Section A Non-Calculator Selected Response Constructed Response 10 Marks 10 Marks Grade 7 Math Final Exam (Sample) June 2009 Page 1

2 Section A: Selected Response [10 Marks] 1. Which set of numbers are factors of 48? A) {2, 3, 5} B) {2, 3, 6} C) {2, 3, 9} D) {2, 3, 10} 2. The factors of 18 and 45 will be placed in the Venn diagram. Which set of numbers belongs in the intersection of the two sets? A) {3, 9} B) {5, 9} C) {2, 3, 5} D) {2, 3, 6} Factors of 18 Factors of What is the difference between -25 and +6? A) -31 B) -19 C) +19 D) Which situation represents an overall change of +8? A) Mary paid $15.00 for a DVD, and then she received a $5 rebate from the store. B) Ned kicked a soccer ball 15m forward. Bill kicked the ball back 7m. C) Oliver had walked 25 metres when he realized he had to go back and pick up a book he had dropped 10 metres ago. D) Paula noticed that the temperature on Monday was -4 o C, and on Tuesday the temperature was +12 o C. 5. If , , and , what is? A) B) C) D) Grade 7 Math Final Exam (Sample) June 2009 Page 2

3 6. Which is equivalent to ? A) B) C) D) 7. What is A) 0.36 written as a decimal? B) 0.36 C) 2.75 D) What is A) B) C) D) +? 9. What is A) B) C) D)? 10. Solve for t: 10 A) 2 B) 5 C) 10 D) 50 Grade 7 Math Final Exam (Sample) June 2009 Page 3

4 NAME: Write your answers in the space provided,, and show all workings to achieve full marks. 1. Sketch a model (i.e. integer counters, number line, etc.) to calculate: [3 marks] (-2) (+4) 2. A) What is 40% of 50? [2 marks] B) Evaluate: [2 marks] 3. Jimmy and Johnny had to share the family computer. Jimmy said that he had used of the memory on the hard drive, and Johnny said that he had used of the memory. Is this possible? Explain. [3 marks] Grade 7 Math Final Exam (Sample) June 2009 Page 4

5 NAME: Grade 7 Mathematics Final Examination Sample June 2009 Section B Calculator Permitted Selected Response Constructed Response 30 Marks 30 marks Answers to Constructed Response questions are to be written in the spaces provided for each question. Complete answers with all workings are required to achieve full marks. Grade 7 Math Final Exam (Sample) June 2009 Page 5

6 1. What is the value of 3n 2 when n equals 4? A) 5 B) 10 C) 14 D) Consider this pattern Diagram 1 Diagram 2 Diagram 3 Which equation represents the relation between the Number of Blocks (B) and the Diagram Number (d)? A) B d + 4 B) B d + 5 C) B 2d + 3 D) B 2d What integer is modeled in the diagram? A) -3 B) -2 C) +2 D) Mike recorded the changes in the height of the snow bank in front of his house for six weeks. Week 1 Week 2 Week 3 Week 4 Week 5 Week 6-2 cm -1 cm -3 cm +3 cm -1 cm +2 cm If the snow bank was 206 cm in the beginning, what was its final height? A) 194 cm B) 204 cm C) 208 cm D) 218 cm Grade 7 Math Final Exam (Sample) June 2009 Page 6

7 5. Which expression is illustrated in the diagram? A) (+3) + (-5) B) (+8) (-5) C) (+3) + (+5) D) (+3) (-5) Which is equivalent to 0.7? A) 0.7% B) 7.0% C) 70% D) 700% 7. Byron has a circular swimming pool with a stone patio around it, and he wants to build a fence around the outside of the patio. The measurements are indicated in the diagram. How much fencing is needed? A) 3.14 m Patio B) 6.28 m C) 9.42 m Use π m 1m D) m Pool Fence 8. What is the area of the circle? A B A) 47.1 cm 2 B) cm 2 ABCD is a square. C) cm 2 D) cm 2 D 15 cm C 9. ABCD is a parallelogram; what is the area of ACD? A) 9 cm 2 D 10 cm A B) 18 cm 2 C) 40 cm 2 8 cm D) 80 cm 2 C B Grade 7 Math Final Exam (Sample) June 2009 Page 7

8 10. Four identical triangles are arranged to form a larger triangle. Using the measurements in the diagram, what is the area of the shaded region? A) 3 cm 2 B) 6 cm 2 C) 12 cm 2 6 cm D) 24 cm 2 4 cm 11. What is the best estimate for the circumference of a circle with a diameter of 8 cm? A) 12 cm B) 24 cm C) 36 cm D) 48 cm 12. What is the radius of a circle that has a diameter of 16.5 cm? A) cm B) 8.25 cm C) 16.5 cm D) 33 cm 13. Sarah bought 4 cans of paint to use while painting her house. She used 1 of a can on her garage and another 2 Sarah have left? cans on her porch. How many cans of paint did A) B) C) 1 D) 3 Grade 7 Math Final Exam (Sample) June 2009 Page 8

9 14. Calculate: A) B) C) D) 15. Calculate: 1 +1 A) 1 B) 2 C) 2 D) Which addition sentence represents the sum illustrated in the diagram? A) B) C) D) What is the next step required to solve the equation 2x 1 4? A) Add 1 to each side. B) Divide both sides by 2. C) Subtract 1 from each side. D) Subtract 2 from each side. Grade 7 Math Final Exam (Sample) June 2009 Page 9

10 18. Jason is solving a problem using algebra tiles. He is at this step; Note: Shaded tiles are negative. Which diagram shows the next step Jason should take to solve this problem? A) B) C) D) 19. The perimeter of a regular hexagon (all sides are equal) is 84 cm. Which equation would you use to find the length of one side? A) 84s 6 B) 6s 84 C) Perimeter 84 cm D) 84 s 6 S 20. Henry needs to buy one pair of pants and several pairs of socks. The pants cost $25.00 and socks cost $5.00 per pair. If Henry has $50 to spend, how many pairs of socks can he buy? A) 2 B) 5 C) 10 D) 25 Grade 7 Math Final Exam (Sample) June 2009 Page 10

11 21. When a number is doubled and increased by seven the result is nineteen. What is the number? A) 6 B) 12 C) 26 D) Which number in this set is an outlier? { 15, 15, 17, 20, 23, 24, 87 } A) 15 B) 20 C) 72 D) What is the mode of this set of numbers? { 22, 35, 50, 75, 75 } A) 35 B) 50 C) 53 D) The data below represents the temperatures at noon on April 3, 2009 measured at five different weather stations in Newfoundland. What is the mean temperature? A) 3.4 o C B) 3.5 o C C) 4.5 o C D) 5.1 o C Grade 7 Math Final Exam (Sample) June 2009 Page 11

12 25. John has written 4 math tests this year and so far his average is 78%. John really wants to raise his average to 80%. What score does he need on his next test in order for his average to go to 80%? A) 64% B) 79% C) 85% D) 88% 26. A cookie jar contains 4 Oreos, 5 Fudgeeos, 6 Chocolate Chip cookies, and 8 Oatmeal Raisin cookies. What is the probability of reaching into the jar, grabbing a cookie and getting either an Oreo or a Chocolate Chip cookie? A) B) C) D) 27. What is the probability of spinning this spinner and landing on red? A) Blue Red B) Red Yellow C) D) 4 Yellow Red Blue Red 28. On a coordinate plane, in which quadrant is the point (-3, 4) located? y A) Quadrant 1 B) Quadrant 2 C) Quadrant 3 D) Quadrant 4 x Grade 7 Math Final Exam (Sample) June 2009 Page 12

13 29. The points A (-3, 2) and B (5, 2) are plotted on a coordinate plane. They are connected to create the line segment. What is the length of line segment? y A) 2 B) 7 C) 8 D) 9 x 30. appears on the coordinate plane. It is translated 2 units right, and 4 units down to create A B C. This image is then reflected in the y-axis to form A B C What are the coordinates of the point B? y A) (-4, 2) B) (-2, 0) C) (0, -2) D) (2, 0) A B C x Grade 7 Math Final Exam (Sample) June 2009 Page 13

14 NAME: Section B: Constructed Response [30 Marks] Write your answers in the spaces provided, and show all workings to achieve full marks. 1. Nancy s math teacher told her that in an expression, the variable was b, the constant was 2, and the numerical coefficient was 3. A) What is the expression? [1 mark] B) Use this expression to complete the input/output table. [2 marks] Input b Output Two different relations are shown in the input/output tables. [2 marks] Input Output Input Output b 4n b 2n Table 1 Table 2 Complete the tables. How do the different expressions affect the values of the outputs in each table? [1 mark] Grade 7 Math Final Exam (Sample) June 2009 Page 14

15 3. Jewellery boxes regularly cost $58 but right now they are on sale for 15% off. What is the sale price of a jewellery box? [2 marks] 4. Stephanie drew a table and tracked her activities on a Saturday. Using the table below: A) Write each activity as a fraction and percent of the total number of hours. [1 mark] B) Write each percent in Part A) as a number of degrees. [1 mark] C) Construct a circle graph. [2 marks] Activity # of hours Fraction Percent Degrees Eating 4 Sleeping 12 Watching TV, MSN, Texting, Friends 8 Total Stephanie s Saturday Grade 7 Math Final Exam (Sample) June 2009 Page 15

16 5. Natasha takes $80 to the mall to buy gifts. She spends $28.75 on a DVD. She wants to purchase a magazine for $8.99 and a purse for $ Does she have enough money to buy the purse and magazine? Justify your answer. [2 marks] 6. Dennis parents left him alone for the weekend and for three days the only thing he ate was pizza. On Friday he ate of a pizza, on Saturday he ate another of a pizza, and finally on Sunday he ate of a pizza. How much pizza did Dennis eat that weekend? [3 marks] 7. Alex decides to use a two pan balance model to solve the equation 3x 9-6. Fill in the boxes with the missing steps and determine the value of x. [2 marks] 3x 9-6 3x 9-6 3x x Grade 7 Math Final Exam (Sample) June 2009 Page 16

17 8. Sarah has 3 pairs of shorts (blue, green, and white), and 2 tops (blue and white). A) Sarah wants to pick out a top and a pair of shorts to wear. Draw a diagram or table to identify the sample space (a list of all possible outcomes). [2 marks] B) Sarah decides to choose a top and a pair of shorts without looking. What is the probability that she will pick shorts and a top that are the same colour? [1 mark] 9. Construct the perpendicular bisector of the line segment. [2 marks] A B Grade 7 Math Final Exam (Sample) June 2009 Page 17

18 10. Without using a protractor, construct the angle bisector of the angle in the diagram. [2 marks] 11. Plot A(0, 3), B(3, 6) and C(3, 3) on a coordinate plane. Connect the points to form. Rotate 180 o around the origin to form A B C. [4 marks] y x Grade 7 Math Final Exam (Sample) June 2009 Page 18