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Jamal has 1 bundle of 10 sticks and 7 loose sticks. How many ones?
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1st Grade Math
Practice Test 12 for 1st Grade Math: real questions and explanations from the Varsity Tutors practice-test pool.
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Question 1 of 25
Jamal has 1 bundle of 10 sticks and 7 loose sticks. How many ones?
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Jamal has 1 bundle of 10 sticks and 7 loose sticks. How many ones?
Explanation: This question tests 1st grade understanding that teen numbers (11−19) are composed of 1 ten and ones (CCSS.1.NBT.2.b). All teen numbers—11, 12, 13, 14, 15, 16, 17, 18, and 19—have the same structure: exactly 1 ten plus some ones (between 1 and 9 ones). For example, 17 is made of 1 ten and 7 ones, which we can also write as 10+7=17. This structure helps students understand place value and connects the teen number names to their composition. The scenario describes Jamal with 1 bundle of 10 sticks and 7 loose sticks, focusing on identifying the ones in a teen number. Choice B is correct because the 7 loose sticks represent the ones in 17. Choice C is a common error where students count the total instead of just the ones. To help students: Use base-10 blocks extensively—always show 1 ten-rod plus unit cubes for teens; connect number names to structure ('seven-teen' = 7+10); practice building each teen number with 1 ten and ones repeatedly; emphasize ALL teen numbers have 1 ten, only the ones vary; use ten-frames with one full frame (the ten) and partial second frame (the ones); write equations (10+7=17); practice decomposing teens into 10+ones; compare teens to show same ten structure.
Sofia adds 7+3+4. Which grouping makes it easiest by making 10?
Explanation: This question tests 1st grade understanding of properties of operations as addition strategies (CCSS.1.OA.3). The associative property of addition means that when adding three numbers, we can group them in different ways and get the same answer: (a + b) + c = a + (b + c). This is especially useful for making 10: in 7 + 3 + 4, we can group 7 + 3 first to make 10, then add 4 to get 14. Choosing the right grouping makes computation much easier. The problem asks which grouping for 7 + 3 + 4 makes it easiest by making 10. Choice C is correct because grouping (7 + 3) + 4 gives 10 + 4 = 14, demonstrating the associative property. Choice A is a common error where students make a calculation error and don't recognize that grouping two numbers that make 10 is easier; this happens because students need extensive experience with many examples. To help students: Provide many concrete examples showing both orders/groupings give same answer; use physical objects to demonstrate commutative property (count group A then B, or B then A—same total); explicitly teach making-10 pairs and how to use them with associative property; practice with equations side by side (8+3=11, 3+8=11); use visual models like ten-frames; emphasize 'order doesn't matter' for commutative, 'we can make 10 first' for associative; connect properties to efficient mental math strategies; practice identifying pairs that make 10 in three-number problems.
9−4=? matches 4+?=9. What is the missing number?
Explanation: This question tests 1st grade understanding of subtraction as an unknown-addend problem (CCSS.1.OA.4). Subtraction can be solved by thinking about addition, where instead of taking away, we ask what number added to the subtrahend equals the minuend. For example, to solve 9 - 4, we can think '4 plus what equals 9?' or write it as 4 + ? = 9, and finding the missing addend (5) gives the subtraction answer. This strategy highlights the inverse relationship between addition and subtraction, making it easier for young learners to compute differences by counting on. The problem presents the subtraction 9 - 4 as matching the unknown addend equation 4 + ? = 9. Choice C is correct because when we add 5 to 4, we get 9, so 4 + 5 = 9, which means 9 - 4 = 5. Choice B is a common error where students add the two numbers instead of finding the difference, resulting in 13, which happens because the connection between addition and subtraction can be abstract for beginners. To help students: Use part-part-whole diagrams showing the relationship; practice on number lines with counting-on (start at 4, count forward to 9); teach fact families explicitly (4+5=9, 5+4=9, 9-4=5, 9-5=4); use 'think addition' language consistently ('to subtract 9-4, think what plus 4 equals 9'); provide many examples connecting subtraction to unknown addend; emphasize that this strategy is especially useful when numbers are close together; use context problems where 'how many more needed' feels natural; practice writing both forms of the problem.
What number comes after 99 in counting?
Explanation: This question tests 1st grade ability to count to 120, starting at any number less than 120 (CCSS.1.NBT.1). Students must know the counting sequence from 1 to 120 and be able to start counting at any number within that range. Important transitions occur at decade boundaries (29→30, 99→100) and in teen numbers (11-19). The stimulus asks for the number that comes after 99 in counting. Choice B is correct because after 99 comes 100, entering the three-digit numbers. Choice D is a common error where students skip to 101, confusing the transition from 99 to 100, which happens because decade transitions require understanding place value. To help students: Use hundreds charts for visual reference; practice counting aloud daily, starting from different numbers; emphasize decade transitions explicitly (29→30, 99→100); provide practice reading and writing numerals with immediate feedback; use physical objects organized in groups of 10 to show quantities; teach teen numbers as 'ten and ' (thirteen = 10 and 3); practice skip counting by 10s regularly; connect counting to real contexts (pages, calendar dates, collections).
Read the problem. Emma has 5 red marbles, 5 blue marbles, and 4 green marbles. How many marbles does Emma have in all?
Explanation: This question tests 1st grade ability to add three whole numbers with sum ≤20 (CCSS.1.OA.2). When adding three numbers, students can use helpful strategies to make it easier. One strategy is to look for two numbers that make 10 (like 6+4 or 7+3), add those first, then add the third number; another strategy is to look for doubles (like 4+4) or numbers that are easy to add together, combine those first, then add the remaining number; students can add in any order because of the commutative and associative properties. The story presents three quantities: 5 red marbles, 5 blue marbles, and 4 green marbles. Choice B is correct because adding all three numbers gives 5 + 5 + 4 = 14; we can add the doubles 5+5=10 first, then 10+4=14. Choice C is a common error where students make a calculation error, such as adding 5+5=10 and then 10+5=15 by mistakenly using 5 again instead of 4, or trying to use a strategy but applying it incorrectly; this happens because students may focus on two numbers and lose track of the third, and applying strategies requires practice. To help students: Use physical objects in three groups that students can count and combine; teach making-10 strategy explicitly with pairs that sum to 10; practice doubles facts (3+3, 4+4, 5+5); model different groupings using parentheses: (5+5)+4 or 5+(5+4); use visual representations showing three groups; emphasize that order doesn't matter; have students explain their strategy; practice with various number combinations; connect to real contexts with three groups.
Jamal has 60 blocks. He puts away 10 blocks. How many left?
Explanation: This question tests 1st grade subtraction of multiples of 10 in the range 10-90 (CCSS.1.NBT.6). When subtracting multiples of 10, use place value strategy: subtract tens from tens. Since both numbers end in 0 (have 0 ones), we only work with the tens place. The scenario is a story where Jamal has 60 blocks and puts away 10. Choice D is correct because 6 tens −1 ten =5 tens =50. Choice A is a common error where students add instead of subtract, getting 60+10=70, which happens because subtraction is more challenging than addition. To help students: Use base-10 blocks to physically remove ten-rods, counting what remains; practice on number lines with backward jumps of 10; emphasize 'subtract tens from tens' strategy; connect to skip counting backward by 10s; provide many examples showing pattern; use place value charts to organize tens; connect to addition as inverse (60−10=50, check: 50+10=60); practice mental math with quick subtraction of tens; relate to real contexts like packages, dimes, groups of 10.
Refer to the diagram shown. Anna measured her crayon box using small squares of paper, all the same size. The squares are placed with no gaps or overlaps. What is the length of the crayon box?
Explanation: Counting the squares from left to right that span the crayon box completely, there are 6 squares total. Each square represents one unit of length, and they are placed end-to-end with no gaps or overlaps. Choice B undercounts by one square. Choice C overcounts by one square. Choice D significantly undercounts.
Look at the sequence: 58, 59, . What number comes next?
Explanation: This question tests 1st grade ability to count to 120, starting at any number less than 120 (CCSS.1.NBT.1). Students must know the counting sequence from 1 to 120 and be able to start counting at any number within that range. Key skills include recognizing what number comes next, reading numerals accurately, writing numerals correctly, and representing quantities with written numerals. Important transitions occur at decade boundaries (29→30, 99→100) and in teen numbers (11-19). The stimulus shows a number sequence: 58, 59, . Choice C is correct because 60 comes immediately after 59, marking a decade transition. Choice B is a common error where students might skip to 69, confusing the sequence; this happens because decade transitions require understanding place value. To help students: Use hundreds charts for visual reference; practice counting aloud daily, starting from different numbers; emphasize decade transitions explicitly (29→30, 99→100); provide practice reading and writing numerals with immediate feedback; use physical objects organized in groups of 10 to show quantities; teach teen numbers as 'ten and ' (thirteen = 10 and 3); practice skip counting by 10s regularly; connect counting to real contexts (pages, calendar dates, collections).
Start at 47 and count on: 47, 48, 49, .
Explanation: This question tests 1st grade ability to count to 120, starting at any number less than 120 (CCSS.1.NBT.1). Students must know the counting sequence from 1 to 120 and be able to start counting at any number within that range. Key skills include recognizing what number comes next, reading numerals accurately, writing numerals correctly, and representing quantities with written numerals. The stimulus shows a number sequence with a missing number: 47, 48, 49, . Choice A is correct because 50 comes immediately after 49 in the counting sequence. Choice C is a common error where students repeat the previous number, like writing 49 again, which happens because the counting sequence to 120 is extensive and requires practice. To help students: Use hundreds charts for visual reference; practice counting aloud daily, starting from different numbers; emphasize decade transitions explicitly (29→30, 99→100); provide practice reading and writing numerals with immediate feedback; use physical objects organized in groups of 10 to show quantities; teach teen numbers as 'ten and ' (thirteen = 10 and 3); practice skip counting by 10s regularly; connect counting to real contexts (pages, calendar dates, collections).
Look at the circle that is divided into equal parts. Emma takes 1 part and says 'I have a fourth of the circle.' Then she takes 1 more part and says 'Now I have a half of the circle.' What do you know about Emma's statements?
Explanation: If Emma can correctly call 1 part 'a fourth,' then the circle must be divided into 4 equal parts (fourths/quarters). When she takes 1 part out of 4, she has 1 fourth. When she takes 2 parts out of 4, she has 2 fourths, which equals 1 half. Both of her statements are mathematically correct. Choice A is wrong because she used the correct fraction words. Choice B is wrong because her second statement is also correct (2 fourths = 1 half). Choice D is wrong because her first statement is correct.
Chen is on page 119. What page is next?
Explanation: This question tests 1st grade ability to count to 120, starting at any number less than 120 (CCSS.1.NBT.1). Students must know the counting sequence from 1 to 120 and be able to start counting at any number within that range. Key skills include recognizing what number comes next, reading numerals accurately, writing numerals correctly, and representing quantities with written numerals. The stimulus asks what page comes after 119 for Chen. Choice B is correct because 120 comes immediately after 119 in the counting sequence. Choice C is a common error where students skip over 120 to 121, which happens because the counting sequence to 120 is extensive and requires practice. To help students: Use hundreds charts for visual reference; practice counting aloud daily, starting from different numbers; emphasize decade transitions explicitly (29→30, 99→100); provide practice reading and writing numerals with immediate feedback; use physical objects organized in groups of 10 to show quantities; teach teen numbers as 'ten and ' (thirteen = 10 and 3); practice skip counting by 10s regularly; connect counting to real contexts (pages, calendar dates, collections).
What number comes after 19 in counting?
Explanation: This question tests 1st grade ability to count to 120, starting at any number less than 120 (CCSS.1.NBT.1). Students must know the counting sequence from 1 to 120 and be able to start counting at any number within that range. Important transitions occur at decade boundaries (29→30, 99→100) and in teen numbers (11-19). The stimulus asks for the number that comes after 19 in counting. Choice C is correct because after 19 comes 20, transitioning to the next decade. Choice A is a common error where students confuse teen numbers with decade numbers (19 vs 29), which happens because teen numbers have unusual names that don't match their structure. To help students: Use hundreds charts for visual reference; practice counting aloud daily, starting from different numbers; emphasize decade transitions explicitly (29→30, 99→100); provide practice reading and writing numerals with immediate feedback; use physical objects organized in groups of 10 to show quantities; teach teen numbers as 'ten and ' (thirteen = 10 and 3); practice skip counting by 10s regularly; connect counting to real contexts (pages, calendar dates, collections).
Look at the number line. Point A shows a number that has 3 tens. What other information do you need to know the exact number?
Explanation: If a number has 3 tens, it could be 30, 31, 32, 33, 34, 35, 36, 37, 38, or 39. To know the exact number, you need to know how many ones to add to the 30. Choice B is unnecessary since we already know it has 3 tens. Choice C is not helpful since all these numbers have 2 digits. Choice D would just tell us it has 3 tens, which we already know.
Put the paper strip, straw, and craft stick longest to shortest.
Explanation: This question tests 1st grade ability to order and compare objects by length (CCSS.1.MD.A.1). To order three objects, compare them pair by pair: the shortest is shorter than both others, the longest is longer than both others, but here it's from longest to shortest. Reversing order from longest to shortest requires understanding the sequence direction. The stimulus shows a paper strip, straw, and craft stick for direct comparison. Choice B is correct because the order from longest to shortest is paper strip, straw, craft stick based on lengths. Choice A is a common error where students mix up the direction, ordering shortest to longest instead. To help students: Provide physical objects to manipulate and compare hands-on; emphasize aligning one endpoint when comparing; practice vocabulary explicitly (longer/shorter/longest/shortest); model both ascending and descending orders with pairs.
Use the bar graph shown to answer this question. Which two fruits together have exactly 12 votes?
Explanation: From the graph: Apples = 6, Bananas = 4, Oranges = 8, Grapes = 8. Checking combinations: Bananas (4) + Grapes (8) = 12. Choice A: 6 + 4 = 10. Choice B: 8 + 8 = 16. Choice D: 6 + 8 = 14.
Chen has some pencils. He gets 7 more pencils. Now he has 16 pencils. How many pencils did Chen have at the start? ?+7=16
Explanation: This question tests 1st grade ability to solve addition and subtraction word problems within 20 (CCSS.1.OA.1). This is an adding to problem with start unknown. We add to an unknown starting amount to reach a total, and find the start. The story tells us Chen has some pencils, gets 7 more, and now has 16 pencils. Choice C is correct because to find how many pencils Chen had at the start, we subtract: 16 - 7 = 9. We can represent this as ? + 7 = 16. Choice B is a common error where students select a number from the story without solving, such as picking the amount added, 7. This happens because in start unknown problems, students need to reverse the typical operation. To help students: Act out problems with physical objects; draw pictures representing the situation; teach problem type structures explicitly (adding to, taking from, putting together, taking apart, comparing); use consistent language for each type; practice writing equations with boxes for unknowns; emphasize keywords carefully ('more' can mean add or compare); model thinking aloud ('I added 7 to reach 16, need to find the start, so I subtract'); practice all unknown positions; connect to familiar experiences.
Which is easier using the commutative property: 2+9 or 9+2?
Explanation: This question tests 1st grade understanding of properties of operations as addition strategies (CCSS.1.OA.3). The commutative property of addition means that the order of numbers doesn't matter when adding: a + b = b + a. For example, if we know that 2 + 9 = 11, we also know that 9 + 2 = 11, and starting with the larger number can make counting on easier. The problem asks which is easier using the commutative property: 2 + 9 or 9 + 2. Choice B is correct because the commutative property allows us to reorder to 9 + 2, which is easier by counting on from the larger number. Choice C is a common error where students don't understand that order doesn't affect the sum, this happens because properties are abstract concepts and need concrete examples. To help students: Provide many concrete examples showing both orders give same answer; use physical objects to demonstrate commutative property; practice with equations side by side (2+9=11, 9+2=11); use visual models like ten-frames; emphasize 'order doesn’t matter' for commutative; connect to efficient mental math strategies like counting on from larger.
Look at the number 16. If you take away 1 ten, what number do you get?
Explanation: When you see a question about taking away tens from a number, think about place value - how numbers are built with tens and ones. The number 16 is made of 1 ten and 6 ones. You can think of it as 10+6=16. When the question asks you to "take away 1 ten," you're removing that group of 10 and keeping only the ones place. So 16−10=6. Let's look at why the other answers don't work. Choice A (15) is what you'd get if you took away 1 one instead of 1 ten - that's 16−1=15. Choice C (26) is backwards - that's what you'd get if you added 1 ten instead of taking it away: 16+10=26. Choice D (10) is just the value of 1 ten by itself, but the question asks what's left after you take the ten away, not what you took away. The correct answer is B (6) because when you remove 1 ten from 16, you're left with just the 6 ones. Remember this trick: when taking away tens, look at the ones place of your starting number - that's often your answer! The ones place of 16 is 6, which matches what's left when you subtract the ten.
Maya has 3 pennies and 1 nickel in her pocket. She drops 2 pennies on the ground. What is the total value of the coins she still has in her pocket?
Explanation: Maya starts with 3 pennies (3¢) and 1 nickel (5¢) = 8¢ total. After dropping 2 pennies, she has 1 penny (1¢) and 1 nickel (5¢) left, which equals 6¢. Choice B represents her original total before dropping coins. Choice C shows only the nickel value. Choice D shows only the penny value she kept.
Which three numbers can you add together to make 10, if one of the numbers must be 2 and another must be 3?
Explanation: When you see a problem asking you to find three numbers that add up to a target number, you're working with addition facts. Since two of the numbers are already given (2 and 3), you need to find what third number will make the total equal 10. Start by adding the two numbers you already know: 2+3=5. Now you need to figure out what number to add to 5 to make 10. Think: "5 plus what equals 10?" You can count up from 5 to 10: 6,7,8,9,10. That's 5 more numbers, so 5+5=10. This means the third number must be 5. Let's check each answer choice. Choice A gives us 2+3+7=12, which is too big. Choice B gives us 2+3+4=9, which is too small. Choice C gives us 2+3+6=11, which is also too big. Choice D gives us 2+3+5=10, which is exactly what we need. When solving problems like this, always add up the numbers you already know first, then figure out what's missing to reach your target number. You can use counting, number lines, or think about addition facts you've memorized. Double-check your answer by adding all three numbers together to make sure they equal the target number.
Amir shows 1 ten-rod and 9 cubes. What is 19 made of?
Explanation: This question tests 1st grade understanding that teen numbers (11-19) are composed of 1 ten and ones (CCSS.1.NBT.2.b). All teen numbers—11, 12, 13, 14, 15, 16, 17, 18, and 19—have the same structure: exactly 1 ten plus some ones (between 1 and 9 ones). For example, 19 is made of 1 ten and 9 ones, which we can also write as 10 + 9 = 19. This structure helps students understand place value and connects the teen number names to their composition. The stimulus shows Amir with 1 ten-rod and 9 cubes, asking what 19 is made of. Choice A is correct because 19 is composed of 1 ten and 9 ones. Choice B is a common error where students reverse tens and ones (9 tens and 1 one instead of 1 ten and 9 ones). To help students: Use base-10 blocks extensively—always show 1 ten-rod plus unit cubes for teens; connect number names to structure ('nine-teen' = 9 + 10); practice building each teen number with 1 ten and ones repeatedly; emphasize ALL teen numbers have 1 ten, only the ones vary; use ten-frames with one full frame (the ten) and partial second frame (the ones); write equations (10 + 9 = 19); practice decomposing teens into 10 + ones; compare teens to show same ten structure.
Amir adds 67+30. What is the sum?
Explanation: This question tests 1st grade addition within 100, specifically adding two-digit and one-digit numbers or two-digit and multiples of 10 (CCSS.1.NBT.4). When adding within 100, use place value strategies: add tens to tens and ones to ones. For two-digit plus multiple of 10, like 67 + 30, add the tens (6 tens + 3 tens = 9 tens), keeping the ones the same (7 ones). The question states Amir adds 67 + 30. Choice B is correct because adding 6 tens + 3 tens gives 9 tens, and the 7 ones stay the same, making 97. Choice A is a common error where students forget to add the ones or add incorrectly; this happens because students don't yet fluently recognize when to compose. To help students: Use base-10 blocks extensively to show tens combining with tens, ones with ones; demonstrate regrouping with physical exchange (10 unit cubes for 1 ten-rod); use place value charts to organize thinking; practice language 'add tens to tens, ones to ones'; teach 'when ones add to 10 or more, compose a new ten'; connect visual models to written equations; provide many examples with and without composing; use number lines for counting on; relate to real contexts (stickers, toys, pages).
Jake writes a number that has 4 tens. Emma writes a number that has 2 more tens than Jake's number. What could be Emma's number?
Explanation: Jake's number has 4 tens. Emma's number has 4 + 2 = 6 tens. The number 60 has exactly 6 tens (6 tens and 0 ones). Choice A has 4 tens, same as Jake. Choice C has 2 tens, which is 2 fewer than Jake, not 2 more. Choice D has 4 tens in the tens place but students might confuse this as having 6 total parts.
Keisha has some balloons. She gives away 5 balloons. Now she has 9 balloons. How many balloons did Keisha have at first?
Explanation: This question tests 1st grade ability to solve addition and subtraction word problems within 20 (CCSS.1.OA.1). This is a taking from problem with start unknown. We subtract from an unknown starting amount to reach a result, and find the start. The story tells us Keisha has some balloons, gives away 5, and now has 9. Choice B is correct because to find how many balloons Keisha had at first, we add back: 9 + 5 = 14. We can represent this as an equation with unknown: ? - 5 = 9. Choice A is a common error where students subtract instead of adding back (9 - 5 = 4); this happens because start unknown problems require reversing the typical operation. To help students: Act out problems with physical objects; draw pictures representing the situation; teach problem type structures explicitly (adding to, taking from, putting together, taking apart, comparing); use consistent language for each type; practice writing equations with boxes for unknowns; emphasize keywords carefully ('more' can mean add or compare); model thinking aloud ('Ended with 9 after giving away 5, need start, so I add back'); practice all unknown positions; connect to familiar experiences.
Without counting by ones, find 79+10. What is it?
Explanation: This question tests 1st grade ability to mentally find 10 more or 10 less than a two-digit number (CCSS.1.NBT.C.5). To add or subtract 10 mentally, use place value understanding: since 10 equals 1 ten and 0 ones, adding 10 means adding 1 ten (so the tens digit increases by 1), while the ones digit stays the same. For example, 79 + 10 = 89 because 7 tens + 1 ten = 8 tens, and the 9 ones remain unchanged. The scenario involves finding 79 + 10 without counting by ones, with a hint that ones stay the same. Choice C is correct because adding 10 to 79 means adding 1 ten: 7 tens + 1 ten = 8 tens, ones stay 9, giving 89. Choice B is a common error where students change the ones digit instead of tens, like adding 20 to get 99; this happens because they might confuse place values or not use the efficient mental strategy. To help students: Use base-10 blocks to show physically adding 1 ten-rod while ones stay constant; practice on hundred charts (add 10 = down one row); emphasize pattern 'tens change by 1, ones stay same'; provide many examples showing ones digit constant; connect to skip counting by 10s; use number lines with jumps of 10; practice mental math daily with quick '10 more' questions; explain why this is efficient compared to counting by ones; make the place value connection explicit.