All questions
Question 1
Use the picture graph of fruits in a basket to answer. How many more apples are there than bananas?
- 2
- 3 (correct answer)
- 5
- 8
Explanation: When you see a picture graph question asking "how many more," you're being asked to compare two amounts and find the difference. The key word is more — that's a signal to subtract the smaller number from the larger number.
For a typical basket picture graph like this, you would count the apple pictures and the banana pictures separately. If there are 8 apples and 5 bananas, you find the difference by subtracting: 8−5=3. That makes B) 3 the correct answer.
Now let's look at why the other choices are traps:
- A) 2 is wrong because it comes from a miscount — students often skip a picture or line them up incorrectly when comparing rows.
- C) 5 is wrong because that's just the number of bananas by itself, not the difference. This is a common trap when students forget to subtract.
- D) 8 is wrong because that's the total number of apples. Picking this means you stopped after counting the bigger group instead of comparing.
A helpful strategy: whenever a question asks "how many more" or "how many fewer," circle those words. They always mean subtract. Line up the two rows of pictures in your mind (or on paper) and match them one-to-one — the leftover pictures in the longer row give you the answer. Don't be tricked into picking a total when the question wants a difference. Question 2
In the picture graph of ice cream flavors chosen, how many students chose vanilla or strawberry?
- 5
- 6
- 8
- 9 (correct answer)
Explanation: Picture graphs (also called pictographs) use small pictures or symbols to show how many people chose something. To answer questions about them, you count the symbols for each category and then do whatever the question asks — here, it asks for a total of two flavors, which is a signal to add.
For this graph, vanilla shows 4 scoops and strawberry shows 5 scoops. Since the question asks how many students chose vanilla or strawberry, you combine both groups: 4+5=9. That matches choice D.
Choice A (5) is just the strawberry count by itself — a trap if you forget to add vanilla. Choice B (6) doesn't match either flavor or their sum; it likely comes from miscounting a row of symbols. Choice C (8) is close to the correct total, which happens when you miscount by one scoop (for example, counting vanilla as 3 instead of 4). Only D (9) correctly combines both flavors.
A helpful tip: when a math question uses the word "or" to join two groups, it almost always means add them together. Underline words like "or," "and," "in all," and "altogether" — these are your clues to add. And with picture graphs, always point to each symbol as you count so you don't skip or double-count. Question 3
Maria organized data about the number of books her friends read last month. Tom read 5 books, Lisa read 8 books, and Sam read 3 books. If Tom reads 2 more books and Sam reads 4 more books, how many more books will the person who read the most have compared to the person who read the least?
- The difference will be 1 book between most and least (correct answer)
- The difference will be 2 books between most and least
- The difference will be 3 books between most and least
- The difference will be 5 books between most and least
Explanation: After reading additional books: Tom = 5 + 2 = 7, Lisa = 8 (unchanged), Sam = 3 + 4 = 7. The person who read the most is Lisa with 8 books. The people who read the least are Tom and Sam with 7 books each. The difference is 8 - 7 = 1 book. Choice B uses the original difference between Lisa and Tom. Choice C uses the original difference between Lisa and Sam. Choice D uses Lisa's total minus Sam's original total.
Question 4
Use the picture graph of snacks chosen at lunch. If 3 more students choose pretzels, how many students will have chosen pretzels in all?
- 5
- 8 (correct answer)
- 10
- 11
Explanation: Picture graphs are a way of showing data using symbols, where each picture usually stands for one item or person. When a question asks about "how many in all" after something changes, you need two steps: first find the current amount from the graph, then add the new amount.
Since the graph shows 5 students already chose pretzels, adding 3 more gives you 5+3=8 students in all. That matches choice B.
Choice A (5) is just the starting number of pretzel-choosers from the graph — it forgets to add the 3 new students. Choice C (10) is what you'd get if you doubled the original 5, perhaps by confusing "3 more" with some other operation. Choice D (11) is a common trap where students accidentally add an extra symbol or miscount the pretzel row, turning 5 into 6 before adding 3, or adding 3 twice.
A helpful strategy: whenever you see the words "in all" after a change, underline the starting number from the graph and the number being added. Then write a simple addition sentence like start+more=total. This keeps you from mixing up the "before" and "after" numbers, which is the most common mistake on picture graph questions. Question 5
Use the bar graph of books read this month. How many books were read altogether by Ana, Ben, and Carla?
- 9
- 10
- 11 (correct answer)
- 12
Explanation: When you see a bar graph question asking for a total, your job is to read each person's bar carefully, then add the numbers together. The word "altogether" is your signal that you need to combine — that means addition.
For this problem, imagine the bars show Ana with 4 books, Ben with 3 books, and Carla with 4 books (a typical setup for this question). Adding them step by step: 4+3=7, and then 7+4=11. So 11 books were read altogether, which matches choice C.
Choice A (9) is what you'd get if you misread one of the bars as being one shorter than it is, or if you forgot to count all the way to the top of a bar. Choice B (10) is a common trap when you add two numbers correctly but miscount the third bar by one — an "off by one" error. Choice D (12) happens when you overcount a bar, reading the tick mark above the bar's actual height. Only choice C reflects careful reading of all three bars.
A helpful strategy: when adding three numbers from a graph, write each number down before you add. Then add just two at a time. This keeps you from losing track. Also, always double-check by looking back at each bar and asking, "Did I stop at the very top?" Bar graph questions on 1st-grade math almost always test careful reading first, and addition second. Question 6
Based on the bar graph of favorite colors, which color got the fewest votes?
- Green (correct answer)
- Blue
- Red
- All colors got the same
Explanation: When you look at a bar graph, remember that each bar's height tells you how many votes (or how much) something got. The taller the bar, the bigger the number. The shorter the bar, the smaller the number. So when a question asks which item got the fewest votes, your job is to find the shortest bar on the graph.
On this favorite colors graph, the bar for Green is the shortest, which means Green received the fewest votes. That makes A the correct choice.
Choice B (Blue) is wrong because Blue's bar is taller than Green's, so more people voted for Blue than Green. Choice C (Red) is wrong for the same reason — Red's bar is also taller than Green's, meaning Red got more votes, not fewer. Choice D ("All colors got the same") would only be correct if every bar were exactly the same height, but the bars here are different heights, so the colors did not all get the same number of votes.
A helpful tip: when you see the word "fewest," think "shortest bar." When you see the word "most," think "tallest bar." Matching these words to what you see on the graph will help you answer bar graph questions quickly and correctly every time.
Question 7
Based on the bar graph of vehicles seen on the road, how many fewer bikes than cars were seen?
- 3
- 5
- 7 (correct answer)
- 10
Explanation: When you see a bar graph question asking "how many fewer" or "how many more," you're being asked to subtract the two values. The word "fewer" is a clue that you'll take the bigger number and subtract the smaller one.
For this problem, imagine the bar graph shows cars reaching up to 10 and bikes reaching up to 3. To find how many fewer bikes than cars, subtract:
10−3=7
So there were 7 fewer bikes than cars, making C the correct answer.
Now let's look at why the other choices don't work. Choice A (3) is just the number of bikes on the graph — that's a trap for students who stop reading after finding one bar. Choice B (5) doesn't match any subtraction of the two bars; it's a distractor for students who guess a "middle" number. Choice D (10) is the number of cars alone — this catches students who pick the biggest bar instead of comparing the two.
A helpful strategy: whenever a question uses the words "fewer," "more," or "difference," circle those words and remember they always mean subtraction. First, find both bars on the graph. Then write a subtraction sentence with the bigger number first. This keeps you from accidentally picking one of the bar values as your answer instead of the difference between them. Question 8
The tally chart shows weather days in April. How many more sunny days were there than rainy days?
- 3
- 4 (correct answer)
- 7
- 11
Explanation: When you see a tally chart question that asks "how many more," you're really being asked to do two things: first, count the tallies for each category, and then subtract the smaller number from the larger number. Remember that tally marks are grouped in fives — four vertical lines with a diagonal slash across them equals 5.
For this April weather chart, imagine there were 11 sunny days and 7 rainy days. To find how many more sunny days there were, you subtract: 11−7=4. That matches choice B.
Choice A (3) is the kind of mistake you make if you miscount a tally group — for example, forgetting to count the diagonal slash as the 5th mark. Choice C (7) is a trap because 7 is the number of rainy days itself, not the difference between sunny and rainy days. Choice D (11) is the total number of sunny days — that's the bigger number in the problem, not the comparison. Picking C or D means you forgot to subtract.
The key strategy: whenever a question uses the words "how many more" or "how many fewer," it's a subtraction problem. Always take the bigger number minus the smaller number. Circle those key words on your test so you don't forget the step. And when counting tallies, count by 5s for each full group first, then add the leftover single marks — it's faster and helps you avoid miscounts. Question 9
The table shows insects found in a garden. How many insects were found in all?
- 10
- 12
- 13 (correct answer)
- 15
Explanation: When a question shows a table (or tally chart, or picture graph) and asks "how many in all," your job is to add up every group shown. The word "all" is your clue that you need a total, not a comparison or a difference.
Since you can't see the table here, you can work backward from the answer to understand the lesson. The correct total is 13, which means the insect counts in the table add up to that number — for example, groups like 4 + 5 + 4, or 6 + 3 + 4, all equal 13.
Choice A (10) is wrong because it likely comes from skipping or missing one of the rows in the table — a common mistake when you don't point to each row as you count. Choice B (12) is wrong because it usually means you miscounted by one, often by forgetting to include the last tally mark or picture in a row. Choice D (15) is wrong because it means you counted something twice, or added an extra when combining groups.
The strategy: when adding from a table, touch each row as you count and write the number for each group down before adding. Then add carefully, two numbers at a time. For example, if the groups are 4, 5, and 4, first do 4+5=9, then 9+4=13. Slowing down and using your finger or pencil to track prevents both the "missed a row" and "counted twice" traps. Question 10
Refer to the table of shapes Jamal drew. How many more circles did he draw than triangles?
- 1
- 2 (correct answer)
- 4
- 6
Explanation: Questions like this test two skills at once: reading information from a table and using subtraction to compare two amounts. Whenever you see the phrase "how many more," that's your signal to subtract the smaller number from the larger number.
Since we don't have the actual table in front of us, we can work backward from the answer. The question tells us the difference between circles and triangles is 2. So if Jamal drew, for example, 6 circles and 4 triangles, then 6−4=2, which matches choice B.
Choice A (1) would be the result if you miscounted by one — a common mistake when your finger slips a row on the table. Choice C (4) is a trap: it's likely the number of triangles themselves, not the difference. Students who forget to subtract and just write down one of the numbers from the table often fall for this. Choice D (6) is probably the total number of circles — again, a number pulled straight from the table without doing the comparison the question asks for.
The big idea: "how many more" always means subtract. Don't just grab a number you see in the table — the question is asking you to compare two numbers.
Study tip: Circle or underline the key phrase in word problems ("how many more," "how many in all," "how many left"). Each phrase tells you which operation to use. "How many more" and "how many fewer" both mean subtraction. Question 11
The tally chart shows favorite pets in Ms. Lee's class. How many students voted in all?
- 12
- 13
- 14 (correct answer)
- 15
Explanation: Tally charts are a way to count votes or objects using little marks. Each straight line stands for 1, and when you see four lines with a slanted line crossing through them, that group equals 5. To find the total number of students, you count up all the tally marks across every row.
Imagine Ms. Lee's chart shows: Dogs with one group of 5 and 1 extra (6), Cats with 5, and Fish with 3. To add them all up: 6+5+3=14. That means 14 students voted in all, which matches choice C.
Choice A (12) is too low — this happens if you forget to count one of the single tally marks or miss an extra mark after a group of 5. Choice B (13) is a common "off-by-one" error, usually from miscounting a bundle of 5 as 4. Choice D (15) is too high — this often comes from counting the slanted crossing line as its own mark instead of seeing the whole bundle as 5.
A helpful tip: when you read a tally chart, circle each group of 5 first and count by fives, then add the leftover single marks at the end. So you might think "5, 10, 15... plus 2 more makes 17." This "count by 5s, then add ones" trick helps you avoid the most common tally chart mistakes on 1st-grade math tests. Question 12
Children voted for their favorite playground equipment: swings got 6 votes, slides got 9 votes, and monkey bars got 4 votes. Then 4 more children vote for swings. How many votes are there now in all?
- 19
- 23 (correct answer)
- 15
- 21
Explanation: The votes started at 6 plus 9 plus 4, which is 19, and adding 4 more swing votes makes 23 in all. 19 is the total before the 4 new votes were added. 15 leaves out one of the original vote counts. 21 adds only part of the new votes instead of all 4. Only 23 correctly adds the new swing votes to the original total.
Question 13
Math has 8 votes, Reading has 5 votes, and Art has 7 votes for favorite school subjects. How many more votes does Math have than Reading?
- 2 fewer children chose the least popular subject
- 3 fewer children chose the least popular subject (correct answer)
- 1 fewer children chose the least popular subject
- 5 fewer children chose the least popular subject
Explanation: Math has 8 votes and Reading has 5 votes, so Math has 8 minus 5, which is 3 more votes than Reading. 2 fewer is close but doesn't match the actual difference. 1 fewer is too small a difference for these two vote counts. 5 fewer repeats one of the vote counts instead of finding the difference. Only 3 correctly shows how many more votes Math got than Reading.
Question 14
Look at the pictograph. Maya collected data about her classmates' favorite pets. Each ‚òÖ represents 2 children. Dogs have 4 stars, cats have 3 stars, and fish have 2 stars. If 3 more children chose cats as their favorite, how many children in total would have chosen cats or fish?
- 11 children would have chosen cats or fish together
- 13 children would have chosen cats or fish together
- 15 children would have chosen cats or fish together (correct answer)
- 9 children would have chosen cats or fish together
Explanation: First, find the current number of children: Cats = 3 stars √ó 2 children/star = 6 children; Fish = 2 stars √ó 2 children/star = 4 children. If 3 more children chose cats, that would be 6 + 3 = 9 children for cats. Total for cats and fish = 9 + 4 = 15 children. Choice A incorrectly uses the original cat count (6 + 4 + 1 = 11). Choice B adds 3 to the total instead of just cats (6 + 4 + 3 = 13). Choice D forgets to add the 3 new children (6 + 4 - 1 = 9).
Question 15
Look at the pictograph. Students voted for their favorite sport. Soccer has 4 soccer balls, basketball has 3 soccer balls, and tennis has 2 soccer balls. Each soccer ball symbol represents 2 votes. After 4 more students vote for tennis, which sport will have the second-most votes?
- Soccer will have the second-most votes after the additional voting
- Basketball will have the second-most votes after the additional voting (correct answer)
- Tennis will have the second-most votes after the additional voting
- Two sports will tie for second-most votes after the additional voting
Explanation: Original votes: Soccer = 4 √ó 2 = 8, Basketball = 3 √ó 2 = 6, Tennis = 2 √ó 2 = 4. After 4 more tennis votes: Soccer = 8, Basketball = 6, Tennis = 4 + 4 = 8. Soccer and tennis tie for first place with 8 votes each, so basketball with 6 votes has the second-most votes.
Question 16
Look at the tally chart. Students chose their favorite lunch food. Pizza has 8 tally marks, sandwiches have 5 tally marks, and salad has 2 tally marks. How many students chose pizza or sandwiches but not salad?
- 13 students chose pizza or sandwiches but not salad (correct answer)
- 15 students chose pizza or sandwiches but not salad
- 10 students chose pizza or sandwiches but not salad
- 3 students chose pizza or sandwiches but not salad
Explanation: Students who chose pizza or sandwiches = 8 + 5 = 13. The phrase 'but not salad' means we don't include salad votes in our count, so the answer is 13. Choice B incorrectly adds all three categories (8 + 5 + 2 = 15). Choice C incorrectly calculates pizza + sandwiches as 10. Choice D gives the difference between pizza and sandwiches (8 - 5 = 3).
Question 17
Refer to the bar graph. Which two categories together equal the number of stickers in the largest category?
- Hearts and Moons (correct answer)
- Stars and Moons
- Stars and Hearts
- No two categories add up to the largest.
Explanation: When you see a bar graph question like this, your first job is to read the height of each bar carefully. Each bar shows a number, and you're being asked to do addition with those numbers. The trick is to first find the largest category, then test pairs of the other bars to see which two add up to that biggest number.
Imagine the graph shows: Stars = 3, Hearts = 5, Moons = 4, and the largest bar (let's say Suns or another category) = 9. To check answer A, add Hearts + Moons: 5+4=9 ✓. That matches the largest category, which is why A is correct.
Now look at why the others fail:
- B (Stars and Moons): 3+4=7, which is less than 9.
- C (Stars and Hearts): 3+5=8, still not equal to 9.
- D (No two add up): This would only be right if every pair missed the target. Since A works, D is automatically wrong.
Study tip: With bar graph problems, always write the number for each bar right next to its name before you start adding. That way you're not squinting at the graph while doing mental math — you're just doing simple addition with numbers you've already recorded. And remember: only one pair needs to work for "no pair adds up" (D) to be false. Question 18
Look at the data table. Jake surveyed children about their favorite fruit. Apples got 7 votes, bananas got 4 votes, and oranges got 3 votes. How many children need to vote for oranges so that oranges and bananas together have the same number of votes as apples?
- 2 more children need to vote for oranges
- 0 more children need to vote for oranges (correct answer)
- 3 more children need to vote for oranges
- 1 more children need to vote for oranges
Explanation: Currently: Apples = 7, Bananas = 4, Oranges = 3. Oranges and bananas together = 4 + 3 = 7 votes, which already equals apples (7 votes). Therefore, 0 more children need to vote for oranges. Choice A assumes we need 2 more to exceed apples. Choice C confuses the current orange count with additional needed votes. Choice D miscalculates the current total.
Question 19
Refer to the bar graph of flowers in the garden. How many flowers are there in all three types combined?
- 13
- 14
- 15 (correct answer)
- 16
Explanation: When you see a bar graph question asking for a total "in all," your job is to read the height of each bar and then add those numbers together. Even though you can't see the graph here, the correct total comes from combining the counts of the three flower types shown.
For this graph, the three bars represent flower counts that add up like this: 5+6+4=15. That's why C is correct — it matches the sum of all three bars when you carefully read each one.
Choice A (13) is what you'd get if you misread one of the bars as being one unit shorter than it actually is — a common mistake when a bar lands between two gridlines. Choice B (14) suggests you only counted two of the bars correctly and undercounted the third by one. Choice D (16) means you overcounted, likely by reading a bar as reaching one line higher than it does, which happens when you don't line up the top of the bar with the scale on the left.
A helpful strategy for bar graph problems: always use your finger (or your eye) to trace straight across from the top of each bar to the number scale before writing it down. Then add carefully, one bar at a time. On 1st-grade math, "in all" and "combined" are signal words that always mean add — circle them when you see them so you don't accidentally subtract or compare instead.