Grade 3 Practice Problems: Data, Statistics & Probability
Examples from Standards Revision and GLEs
3D-12) Answer: 1050, 150, 200, 100, 108, 180, 462
Place each number below in one of the blanks to create the most meaningful and realistic story possible.
1050 150 200 180 462 108 100 |
This week a bookstore sold a total of ___________books, ___________an average of books each day. The high sales day of ___________ was twice the amount of the low sales day of ____________. On the second lowest day, ___________ books were sold, while ____________were sold on the second highest sales day. The books sold on the other days added up to ____________.
3D-11) Answer: 24 ways
How many different 4-letter license plates can be made using only the letters M,A,T and H? All four letters must be used on each plate. Write to help explain your best thinking using words, numbers, or pictures.
3D-10) Answer: $60
As a prize, a contest winner is to draw one bill at a time from a box containing ten $5 bills, ten $10 bills, and ten $20 bills. The drawing ends when 3 bills of the same denomination are drawn. What is the largest sum of money that can be won under these conditions? Write to help explain your best thinking using words, numbers, or pictures.
3D-9) Answer: 20 prizes
There are 4 boys and 5 girls standing outside of the new record shop. The sign in the window offers a prize to every couple (1 boy and 1 girl) that enters the store. How many prizes can the 9 people get? Write to help explain your best thinking using words, numbers, or pictures.
3D-8) Answer: 2-2; 2-4; 2-5; 2-6; 4-2; 4-4; 4-5; 4-6; 5-2; 5-4; 5-5; 5-6; 6-2; 6-4; 6-5; 6-6
The people of Domino City use dominoes to show their house numbers. Each domino has two sets of dots on it, like 4 dots with 2 dots, or 2 dots with 4 dots, or 2 dots with 2 dots. Different sets of dots are used on each street. The people who live on Peach Street use dots made with sets of 2 dots, 4 dots, 5 dots or 6 dots to make their house numbers. What are all the different house numbers that the people on Peach Street can make? Write to help explain your best thinking using words, numbers, or pictures.
3D-7) Answer: steak,Swiss,mustard; steak,Swiss,mayonnaise; steak,American,mustard; steak,American,mayonnaise; ham,Swiss,mustard; ham,Swiss,mayonnaise; ham,American,mustard; ham,American,mayonnaise; baloney,Swiss,mustard; baloney,Swiss,mayonnaise; baloney,American,mustard; baloney,American,mayonnaise
Jerry's Sub Shop makes the best submarine sandwiches in town. Look at the lists of good things Jerry puts on his sandwiches: meats -- steak, ham or baloney; cheeses -- Swiss or American; and spreads -- mustard or mayonnaise. You ask Jerry to make a sandwich with one kind of meat, one kind of cheese, and one kind of spread on it. What are all the different sandwiches Jerry could make for you? Write to help explain your best thinking using words, numbers, or pictures.
3D-6) Answer: (first,second) Þ (1,1) (1,4) (1,5) (1,7) (4,1) (4,4) (4,5) (4,7) (5,1) (5,4) (5,5) (5,7) (7,1) (7,4) (7,5) (7,7) (16 possible scores)
Dan wins points by tossing rings at a number board. There are four numbers on the board: 1, 4, 5, and 7. Dan gets to toss two rings on each round, and he never misses! He hits a number every time he tosses a ring. What are all the different ways Dan could score points in each round? For example: round 1 (first ring - 1, second ring 1); round 1 (first ring 1, second ring 4)… Write to help explain your best thinking using words, numbers, or pictures.
3D-5) Answer: round, red, happy face; round, red, bumblebee; round, orange, happy face; round, orange, bumblebee; round, yellow, happy face; round, yellow, bumblebee; heart, red, happy face; heart, red, bumblebee; heart, orange, happy face; heart, orange, bumblebee; heart, yellow, happy face; heart, yellow, bumblebee (12 kinds)
The workers in the Bumblebee Balloon Factory make many different kinds of balloons. Each balloon is round or shaped like a heart, and is red, orange, or yellow. Before the balloon leaves the factory, a worker paints a picture of a happy face or a bumblebee on it. What are all the different kinds of balloons that are made in the Bumblebee Balloon Factory? Write to help explain your best thinking using words, numbers, or pictures.
3D-4) Answer: long sleeves, pink, whale; long sleeves, pink, dinosaur; long sleeves, blue, whale; long sleeves, blue, dinosaur; long sleeves, green, whale; long sleeves, green, dinosaur; short sleeves, pink, whale; short sleeves, pink, dinosaur; short sleeves, blue, whale; short sleeves, blue, dinosaur; short sleeves, green, whale; short sleeves, green, dinosaur (12 kinds)
Aunt Andrea is shopping for a T-shirt for Diana. She is having a hard time making up her mind what T-shirt to buy. She can get long-sleeve or short-sleeve T-shirts, in pink or blue or green. Each T-shirt comes with a picture of a whale on it or a picture of a dinosaur. What are all the different T-shirts Aunt Andrea could buy for Diana? Write to help explain your best thinking using words, numbers, or pictures.
3D-3) Answer: More than one answer is possible, e.g. Monday (Sally-cheese, Sheryl-jelly, Sue-tuna); Wednesday (Sally-tuna, Sheryl-cheese, Sue-jelly); Friday (Sally-jelly, Sheryl-tuna, Sue-cheese)
Every Monday, Wednesday, and Friday morning, Aunt Samantha makes one cheese sandwich, one jelly sandwich, and one tuna sandwich. Sally, Sheryl, and Sue each take one of the sandwiches for lunch. The girls do not like to eat the same kind of sandwich more than once a week, so Aunt Samantha makes a chart to remind her who took which sandwich. What might Aunt Sam's chart look like? Write to help explain your best thinking using words, numbers, or pictures.
3D-2) Answer: 18 cardinals; 23 robins; 28 eagles
We went on a bird walk. We counted 25 robins, 32 blue jays, 19 cardinals, 4 eagles, 2 hummingbirds, and 1 owl. Make a chart that shows this. How many more cardinals are there than owls?___ How many more robins are there than hummingbirds?___ How many fewer eagles are there than blue jays?___ Write to help explain your best thinking using words, numbers, or pictures.
3D-1) Answer: 21 cards
Lynn has 54 cards. Olive has 28 cards. Gabor has 61 cards. Rachel has 73 cards. Make a graph as accurately as you can. How many more cards does Rachel have than Lynn have?___ Write to help explain your best thinking using words, numbers, or pictures.
Construct and analyze pictographs in which a picture represents more than one piece of data, frequency tables, line plots, and bar graphs.
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Examples of Probability and Statistics from the 2006 GLEs – Grade 3
Determine or develop questions needed to gather data about themselves and their classmates. Design a survey and collect and record data in easy to use formats such as tally marks, chart, or table. Describe a situation where mode is meaningful for a set of data. Explain why mode is useful for describing a set of data. Explain what the mode represents and how to find it in a given set of data. Use pictures to demonstrate understanding of mode. Determine the mode for a set of data. Make inferences based on the data or determine if the data can support inferences made. Read, explain, and summarize data from tables, charts, pictographs, and bar graphs. Read and interpret data from pictographs and bar graphs for comparative information. |