
21 problems graded by difficulty (★ easy, ★★ medium, ★★★ hard). Try first, without looking at the solutions!
1 Recess tally ★★★
The students voted for their favorite recess game. Use the tally chart.
- How many students chose jump rope?
- Which game got the fewest votes?
- How many more students chose kickball than hopscotch?
2 Groups of five ★★★
For each number, tell how many full groups of five (four lines and a slash) you need, and how many single lines are left: 7, 10, and 13. Which of the three numbers needs no single lines?
3 Orchard picture graph ★★★
Four friends picked fruit at an orchard. The picture graph shows what they picked.
- How many plums were picked?
- Which fruit was picked the least?
- How many pieces of fruit were picked in all?
4 Pets at home ★★★
This bar graph shows the pets that students have at home.
- How many students have cats?
- Which pet is owned by the fewest students?
- How many more students have cats than dogs?
5 Leaf line plot ★★★
Zoe measured nine leaves to the nearest inch and made a line plot.
- How many leaves are 3 inches long?
- How long is the longest leaf?
- How long is the shortest leaf?
- How many leaves did Zoe measure?
6 True or false? ★★★
Say whether each sentence is true or false.
- A group of five tally marks has four straight lines and one slash.
- A picture graph does not need a key.
- In a bar graph, a taller bar means a smaller number.
- On a line plot, each X shows one measurement.
7 Make a tally chart ★★★
Cleo asked ten friends to pick a color. She wrote R for red, B for blue, and G for green: R B R G B R R B G R. Make a tally chart and write how many friends picked each color.
8 Sticker picture graph ★★★
Four friends collected stickers. Use the key carefully.
- How many stickers does Ben have?
- How many more stickers does Ben have than Cy?
- How many stickers do the four friends have in all?
9 Books read by four rooms ★★★
Four classrooms kept track of the books they read in a month.
- How many more books did Room A read than Room D?
- How many books did the four rooms read in all?
- Which two rooms together read exactly as many books as Room C?
10 Long jump line plot ★★★
Ten students tried a long jump. Their jumps, measured to the nearest foot, are on the line plot.
- Which jump length happened the most?
- How many students jumped more than 5 feet?
- What is the difference between the longest and the shortest jump?
11 Lunch vote ★★★
The class voted for lunch.
- How many students voted in all?
- How many more students chose tacos than pizza?
- Did pizza and pasta together get more votes than tacos? Explain.
12 Birthday seasons ★★★
A teacher made a bar graph of the seasons of her students’ birthdays.
- Which season has the most birthdays?
- How many more birthdays are in summer than in fall?
- How many students are in the class?
- How many birthdays are not in summer?
13 Draw a bar graph ★★★
Sam counted the hats in the lost-and-found box: red 4, blue 7, green 5, yellow 2. Draw a bar graph. Which scale would you choose, counting by ones or by tens? Why?
14 Make a line plot ★★★
Ivy measured ten pencils to the nearest inch: 6, 5, 7, 5, 6, 4, 5, 6, 5, 7. Make a line plot. Then tell how many pencils are 5 inches long.
15 Shell collecting ★★★
Four friends collected shells on the beach. The scale counts by fives.
Liv gives 5 of her shells to Tom. Who has the most shells now? Explain.
16 Find the mistake: picture graph ★★★
Max looked at this picture graph and said, “Room 3 read 6 books, because there are 6 circles.”
Is Max right? Explain what he forgot and give the correct answer.
17 Find the mistake: tally marks ★★★
Jo looked at a tally row with 3 full groups of five and 2 single lines. Jo said, “That is 3 + 2 = 5.”
What did Jo do wrong? What is the correct total?
18 Four-category survey ★★★
Leo asked 20 classmates, “Which free-time activity do you like best?” Each classmate chose one activity. He lost the number for skating.
| Activity | Soccer | Swimming | Biking | Skating |
|---|---|---|---|---|
| Students | 7 | 5 | 6 | ? |
- How many students chose skating?
- Which activity is the least popular?
- How many more students chose soccer than skating?
- How many students chose swimming or biking?
19 Plant heights ★★★
Twelve bean plants were measured to the nearest inch.
- How many plants are exactly 8 inches tall?
- How many plants are taller than 7 inches?
- How many plants are shorter than 7 inches?
- What is the difference between the tallest and the shortest plant?
20 Choose a scale ★★★
Ravi made a tally chart of fruit eaten at lunch. He wants to draw a bar graph.
Which scale would be best: counting by 1s, by 2s, or by 10s? Give the height of each bar. How many pieces of fruit were eaten in all?
21 Two days of cookies ★★★
A bakery sold four kinds of cookies on Friday and on Saturday.
| Cookie | Friday | Saturday |
|---|---|---|
| Oatmeal | 12 | 10 |
| Lemon | 8 | 9 |
| Chocolate | 14 | 20 |
| Ginger | 6 | 6 |
- How many cookies were sold on each day?
- Which kinds sold more on Saturday than on Friday? How many more of each?
- Which kind sold the same number on both days?
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