2011 Mathematics Assessment for Learning Program Grade 5 Student Question Booklet

Transcription

1 2011 Mathematics Assessment for Learning Program Grade 5 Student Question Booklet

2 INSTRUCTIONS You CANNOT USE A CALCULATOR for any part of this assessment. Please use the Help Sheet on page ii to help you answer the questions. Diagrams are not drawn to scale. Your answers to these questions are very important. Please think carefully about each question before you answer it. Try to answer ALL the questions. Mark your answers for the multiple-choice questions on the scan form provided in the Student Answer Booklet. Shade in the circle beside the letter of the best answer. Mark only one answer per question. Fill the circle in completely and do not put any marks in circles not selected. Example 1. What is 3 + 4? a) 7 b) 12 c) 34 d) 43 1 a. b. c. d. Good 1 a. b. c. d. Not good 1 a. b. c. d. Not good When you finish, check over your booklet and your scan form. Make sure you have tried EVERY question in the booklet. You may show your work beside each question. Remember to transfer your answers to the scan form in the Student Answer Booklet. i

3 Help Sheet Area is the total surface covered by a shape or region. It is expressed in square units (m 2, cm 2, etc.). To find the area of a rectangular figure, multiply the length by the width. Mean (average) is found by dividing the total of all of the numbers by how many numbers are in the group. A double bar graph is a graph that uses pairs of bars to show relationships between data. Average Heights Height (cm) Age (years) Boys Girls Faces are the surfaces of a three-dimensional object. Face Edges are where the faces of a three-dimensional object meet. Edge Perimeter is the total distance around the outside of a figure. It is expressed in linear units (km, m, cm, etc.). To find the perimeter of a figure, find the sum of the lengths of all the sides. Volume is the amount of space occupied by an object. It is expressed in cubic units (m 3, cm 3, etc.). To find the volume of a rectangular prism, multiply the length, the width and the height. Referent is a real representation of a unit of measure used to estimate. OTHER 1 L = 1000 ml 1 km = 1000 m 1 m = 100 cm 1 dozen items = 12 items 1 m = 1000 mm 1 cm = 10 mm 1 min = 60 sec 1 hour = 60 min 1 day = 24 hrs 1 week = 7 days 1 year = 365 days ii

4 1. In 2009, the population of Calgary reached one million people. A number of other cities around the world were also close to a population of one million people. City Population Detroit, USA Naples, Italy Querétaro, Mexico Sao Luis, Brazil Based on the above table, which city s population was closest to one million? a) Detroit b) Naples c) Querétaro d) Sao Luis 2. Ashley was given the set of number cards shown below. What is the largest possible number she could create by rearranging these six cards? a) b) c) d)

5 3. When multiplying 24 50, Samuel divided by 2 and then changed 50 to 100, as shown below. 24 x 50 = 24 x 50 x2 2 = 12 x 100 = 1200 What strategy did Samuel use to help him multiply the two numbers? a) Skip counting b) Partial products c) Front end rounding d) Halving and doubling 4. Tasha is reading a large numeral aloud to her class. What is the proper way for her to read the numeral ? a) Seventy five hundred ninety-two b) Seven hundred fifty thousand ninety-two c) Seven hundred fifty thousand and ninety-two d) Seven hundred and fifty thousand and ninety-two 2

6 5. Donovan Bailey holds the Canadian record for running 100 metres. His record time is 9.84 seconds. Usain Bolt of Jamaica holds the world record with a time of 9.58 seconds. How many seconds faster is Usain Bolt s record? a) 0.36 seconds b) 0.34 seconds c) 0.26 seconds d) 0.24 seconds 6. The number of aluminum cans collected by a school s recycling club is shown below. If you were to estimate by rounding each week s collection to the nearest 10, approximately how many cans were collected in total? Day Cans Collected Friday, April Friday, April Friday, April Friday, May 6 89 Friday, May Friday, May Friday, May a) 460 b) 490 c) 500 d) 530 3

7 7. Momma Bear cut her whole blueberry pie in half and gave a piece to Papa Bear. She then cut the piece that was left in half and gave one to Baby Bear. Finally, she cut the last piece in half and shared it with Goldilocks. In decimal form, what part of the pie did Baby Bear get? a) b) c) d) Papa Bear s Piece Mamma Bear s Piece Goldilocks Piece Baby Bear s Piece 8. Karl took $2.00 and two books to his school s book exchange. He sold his books for $0.25 each. He then bought three books for $0.25 each. How much money does Karl have at the end of this exchange? a) $1.25 b) $1.75 c) $2.00 d) $2.25 4

8 9. Tyler needs to read his 158 page mystery novel in 7 days. To make sure he finishes on time, he plans to read an equal number of pages each day except for the seventh day. How many extra pages will he have to read on the seventh day so he can finish on time? a) 6 b) 5 c) 4 d) In which of the following situations would it be best to underestimate? a) The amount of air needed to put in a scuba diver s tanks b) The amount of food needed to take on a week-long canoe trip c) The amount of jet fuel needed to fly from Regina to Saskatoon d) The amount of time needed to seek shelter before a tornado strikes 5

9 11. Karlee is the starting sprinter on her school s relay team. Her best time is seconds. What is her time represented as a fraction? a) b) c) d) 13 2 seconds seconds seconds seconds A bus, traveling from Mathville to Whoburg, runs out of gas 4 3 of the way there. Which town is nearest the stranded bus? Multiply Town Numbertoon Decimalton Problem City Mathville Add River Geomsley St. Fraction Whoburg a) Add River b) Geomsley c) Numbertoon d) St. Fraction 6

10 13. Brooklyn shaded a fraction of a circle as shown below. Which circle below shows a fraction shading that is equivalent to Brooklyn s? a) b) c) d) 7

11 14. What is the next shape in the pattern shown below? a) b) c) d) 15. Taylor earned $36.00 babysitting on the weekend. After buying a birthday present for her sister, she had $28.00 left. If p represents the amount Taylor spent on the present, which equation best represents this situation? a) $36.00 p $28.00 b) p $ $ c) $ p $ d) p $ $

12 16. At 8:00 a.m., Emily s thermometer shows an outside temperature of 15 C. The weather forecast predicts the temperature will rise steadily by 2 C each hour until it reaches a high of 25 C. At what time will it be 25 C? a) 11:00 a.m. b) 12:00 p.m. c) 1:00 p.m. d) 2:00 p.m. 17. To prepare herself for the new hockey season, Britney sets up an exercise schedule. She keeps the same rotation for four weeks. On what day in Week 4 will Britney go rollerblading? Week 1 Week 2 Week 3 Britney s Workout Schedule Sunday Monday Tuesday Wednesday Thursday Friday Saturday Ride Jog two Go 200 Jog two Lift weights exercise Free kilometres rollerblading Sit ups kilometres bike Lift weights Go rollerblading Week 4? Go rollerblading Ride exercise bike 200 Sit ups Ride exercise bike 200 Sit ups 200 Sit ups Free Free Jog two kilometres Jog two kilometres Lift weights Lift weights Go rollerblading Free???? a) Thursday b) Friday c) Saturday d) Sunday 9

13 18. Which of the following equations has a solution of n 3? a) 6 n 2 b) 16 2 n c) n d) 2 n The Winter Concert director lined up all the students in the school in a long straight line. She decided every fifth student would be a reindeer, as shown below. How many students would be in line in front of the 9 th reindeer? 1 st Reindeer. 2 nd Reindeer a) 8 b) 36 c) 44 d) 45 10

14 20. Which item from your bathroom would be the best referent for 1 litre? a) Bathtub b) Perfume bottle c) Shampoo bottle d) Toothpaste tube 21. William is following a recipe that calls for 500 ml of water, but he doesn t have a measuring cup. He does, however, have an empty 1 L milk carton. How much of the carton should he fill to get the required amount of water? a) 1 of the carton 4 b) 1 of the carton 2 c) 1 full carton d) 2 full cartons 22. Professional football fields, soccer fields, and basketball courts are all examples of what type of quadrilateral? a) Rectangle b) Rhombus c) Square d) Trapezoid 11

15 23. Which of the following roads in Prince Albert is parallel to 15 th Street? Highway # 2 15 th Street 28 th Street Canam Highway Cooke Municipal Golf Course 15 th Avenue Google Maps Canada a) Canam Highway b) Highway #2 c) 15 th Avenue d) 28 th Street 12

16 24. Regan wants to make brownies for his class party. He would like them to be 5 cm by 5 cm and he would like as many pieces as possible. He has four different sized pans to choose from. Which pan will give him the greatest area, allowing him to make the most brownies? a) Pan 1: 35 cm by 65 cm b) Pan 2: 40 cm by 60 cm c) Pan 3: 45 cm by 55 cm d) Pan 4: 50 cm by 50 cm 25. Count Dracula is selling his coffin on ebay and wants to provide some detailed information with his advertisement. How many faces and edges are on the outside of his 3-dimensional coffin? a) 7 faces and 15 edges b) 7 faces and 19 edges c) 5 faces and 15 edges d) 5 faces and 19 edges 13

17 26. Paula and Alice are taking a ride on a Ferris wheel at the local fair. They get on when the chair is at the lowest point, as shown to the right. Which of the following shows their position after rotating one-quarter of a turn clockwise? a) b) c) d) 14

18 27. To help raise money for Telemiracle, your principal shaves his head. Your class then tracks his hair growth by measuring its length each week. Which would be the best unit of measurement for recording his weekly hair growth? a) Centimetre b) Kilometre c) Metre d) Millimetre 28. Jonah is curious about the volume of his plastic G.I. Joe. Using a graduated cylinder and water, Jonah measures 40 ml of water into the cylinder. He then drops G.I. Joe into the cylinder and measures the new volume. Cylinder Before G.I. Joe Is Added Cylinder After G.I. Joe Is Added 100 ml 90 ml 80 ml 70 ml 60 ml 50 ml 40 ml 30 ml 20 ml 10 ml 100 ml 90 ml 80 ml 70 ml 60 ml 50 ml 40 ml 30 ml 20 ml 10 ml What is the volume of G.I. Joe? a) 20 ml b) 40 ml c) 60 ml d) 100 ml 15

19 29. Which of the following statements is true regarding these two rectangles? 4 m 3 m 6 m 6 m 8 m 8 m 4 m 3 m a) The rectangles have the same area and different perimeters. b) The rectangles have different areas and the same perimeter. c) The rectangles have the same area and the same perimeter. d) The rectangles have different areas and different perimeters. 16

20 30. The quadrilaterals below have been sorted into two groups. What rule has been used to sort them? Group 1 Group 2 a) All shapes with four right angles are in Group 1. b) All shapes with four equal sides are in Group 1. c) All shapes with four corners are in Group 1. d) All shapes with four sides are in Group 1. 17

21 31. The rectangular trailer on Tanner s toy semi-truck has a volume of exactly 20 cube-a-link blocks. Tanner s trailer is 2 blocks wide and 2 blocks high as shown in the diagram below. How many blocks long is Tanner s trailer? 2 blocks? blocks 2 blocks a) 16 blocks b) 10 blocks c) 5 blocks d) 4 blocks 18

22 32. The following graph shows the favourite ice cream flavours for grade one and grade five students in Stanley School. Both classes have 25 students. From the information on the graph, which flavour of ice cream do the grade fives like the best? 12 Favourite Flavours of Ice Cream Number of Students Grade One Grade Five 0 Chocolate Grape Strawberry Tiger Tiger Vanilla Walnut Ice Cream Flavours a) Chocolate b) Grape c) Vanilla d) Walnut 19

23 33. When Julie s pen went dry during her math test, Mr. Brady went to his jar of lost pens to get one to lend to her. The following coloured pens were available: 5 green pens 6 purple pens 6 red pens 7 black pens 8 blue pens Which two pens are equally likely to be picked? a) a red pen and a blue pen b) a red pen and a purple pen c) a blue pen and a black pen d) a green pen and a black pen 34. A grade five class is trying to decide on a class pet. Their teacher suggests they begin by collecting some first-hand data. Which of the following is an example of first-hand data? a) An online video clip showcasing pets that are easy to care for b) A graph of Best Class Pets from the newspaper c) A magazine article from Class Pets Weekly d) A class survey of students favourite pet 20

24 35. Ms. Berkley asks Jeremy to create a spinner with four different activities to determine the school s noon-hour activity. Jeremy s two favourite activities are basketball and volleyball. Which spinner follows Ms. Berkley s directions and gives Jeremy the best chance of doing one of his favourite activities? a) Volleyball Basketball b) Volleyball Basketball Dodgeball Floor Hockey c) Basketball Dodgeball Floor Hockey Volleyball d) Basketball Dodgeball Volleyball Floor Hockey 21

25 36. Buttons numbered from 1 to 20 are placed in a hat. If one button was pulled from the hat, which of the following statements would be TRUE? a) It is more likely that a 1 digit number will be pulled than a 2 digit number. b) It is more likely that a 2 digit number will be pulled than a 1 digit number. c) It is equally likely that a 1 digit number or a 2 digit number will be pulled. d) It is impossible to tell if a 1 digit number or a 2 digit number is more likely. Make sure you have marked all of your answers onto the scan form located in your Student Answer Booklet. 22