All questions
Question 1
Sofia has 10 pennies. They are the same as 1 dime. 10 ones equals ten.
- 0
- 1 (correct answer)
- 2
- 10
Explanation: This question is all about grouping in our number system. Whenever you count objects, once you gather 10 of something small, you can bundle them into 1 of the next bigger unit. That's the heart of place value.
Look at the clue the problem gives you: 10 pennies are the same as 1 dime. This is exactly like ones and tens! Just as 10 pennies bundle into 1 dime, 10 ones bundle into 1 ten. So 10 ones = 1 ten. That makes 1 the correct answer.
Now let's see why the others don't work. Choosing 0 would mean 10 ones make no tens at all — but you clearly have enough to make one full group of ten, so it can't be zero. Choosing 2 would mean 10 ones make two tens, but two tens would be 20 ones, and you only have 10. Choosing 10 confuses the number of ones with the number of tens — you have 10 ones, but they only build 1 ten, not 10 tens (that would be 100!).
A handy way to remember: 10 ones = 1 ten, just like 10 pennies = 1 dime. Whenever you collect exactly 10 small units, you trade them for 1 of the next unit up. Watch out for the trap of repeating the number 10 as your answer — the question is asking how many tens you can make, not how many ones you started with.
Question 2
A full ten-frame (all 10 spaces filled) shows ten.
- 0
- 1 (correct answer)
- 2
- 10
Explanation: A ten-frame is a special tool with exactly 10 spaces arranged in two rows of five. Whenever you see a ten-frame question, remember that the whole frame is built to help you think in groups of ten. So the key idea here is: what does a completely filled ten-frame represent?
When all 10 spaces are filled, you have 10 ones grouped together. And 10 ones make exactly 1 ten. That's the whole point of the ten-frame — it bundles single dots into one neat group of ten. So a full ten-frame shows 1 ten.
The choice "0" would mean the frame is empty with nothing filled in, but here every space has a counter, so it can't be zero. The choice "2" would mean you'd need two full ten-frames (20 filled spaces), but a single frame only holds 10, so there's only one group. The choice "10" is a tempting trap — it's true that you filled in 10 dots, but the question asks how many tens you made, not how many ones. Ten single dots equal just one group of ten.
The trick to remember: a ten-frame counts ones until it's full, and then that full frame becomes 1 ten. Watch the wording carefully — "how many tens?" is asking about groups, while "how many?" would be asking about single counters. Ten ones always bundle into one ten.
Question 3
Emma counts 10 ones. She groups them. Now she has ten.
- 0
- 1 (correct answer)
- 2
- 10
Explanation: Whenever you see a question about grouping ones, remember the big idea of place value: a ten is just a bundle of 10 ones packed together. When you gather 10 single things and group them, they become one single group called a ten.
So when Emma counts 10 ones and groups them, all 10 of those ones fit together into exactly 1 ten. That's why the answer is 1. Think of it like a bundle of 10 sticks tied with a rubber band — 10 loose sticks become 1 bundle.
Now let's look at why the other choices don't work. The answer 0 would mean she has no tens at all, but she has enough ones to make a group, so she definitely has more than zero. The answer 2 is too many — you'd need 20 ones to make 2 tens, and Emma only has 10. The answer 10 is a trap: it's the number of ones she started with, not the number of tens she made. It's easy to just repeat the number you saw, but grouping changes what you're counting — you go from counting ones to counting tens.
A helpful way to remember this: 10 ones always make 1 ten. Whenever a problem says "group 10 ones," picture squishing them into one neat bundle. The next time you see 20 ones, you'll know that makes 2 tens, and 30 ones makes 3 tens — the pattern grows by one ten for every ten ones.
Question 4
Look at 10 straws with a rubber band. What is it?
- one one
- one ten (correct answer)
- two tens
- ten tens
Explanation: This question tests 1st grade understanding that 10 ones can be bundled as one ten (CCSS.1.NBT.B.2.a). In our number system, 10 individual ones can be grouped or bundled together to make one ten. This doesn't change the amount—10 ones and 1 ten are the same quantity—but bundling helps us count and organize larger numbers more efficiently. For example, 10 unit cubes placed separately are the same as 1 ten-rod (which contains 10 cubes stuck together). The stimulus shows 10 straws with a rubber band, representing a bundled group. Choice B is correct because the bundled group of 10 ones is called 'one ten.' Choice A is a common error where students think it remains 'one one'; this happens because the terminology 'one ten' is confusing when it represents 10 ones. To help students: Provide extensive hands-on practice with base-10 blocks, physically bundling 10 unit cubes to match a ten-rod; use real objects like craft sticks with rubber bands to bundle 10 into 'one ten'; emphasize 'same amount, different name' when showing 10 ones = 1 ten; use ten-frames consistently; practice language explicitly ('ten ones' vs 'one ten'); demonstrate trading: exchange 10 ones for 1 ten; connect to counting by tens; avoid moving too quickly to symbolic notation.
Question 5
Look at 10 dots circled together. How many tens?
- 10
- 1 (correct answer)
- 2
- 0
Explanation: This question tests 1st grade understanding that 10 ones can be bundled as one ten (CCSS.1.NBT.B.2.a). In our number system, 10 individual ones can be grouped or bundled together to make one ten. This doesn't change the amount—10 ones and 1 ten are the same quantity—but bundling helps us count and organize larger numbers more efficiently. For example, 10 unit cubes placed separately are the same as 1 ten-rod (which contains 10 cubes stuck together). The stimulus shows 10 dots circled together, representing a group of 10. Choice B is correct because the circled group of 10 ones is 1 ten. Choice A is a common error where students think the group represents 10 tens instead of 1 ten; this happens because the terminology 'one ten' is confusing when it represents 10 ones. To help students: Provide extensive hands-on practice with base-10 blocks, physically bundling 10 unit cubes to match a ten-rod; use real objects like craft sticks with rubber bands to bundle 10 into 'one ten'; emphasize 'same amount, different name' when showing 10 ones = 1 ten; use ten-frames consistently; practice language explicitly ('ten ones' vs 'one ten'); demonstrate trading: exchange 10 ones for 1 ten; connect to counting by tens; avoid moving too quickly to symbolic notation. Question 6
Look at a full ten-frame. It shows ten.
- 0
- 1 (correct answer)
- 2
- 10
Explanation: When you work with a ten-frame, you're learning one of the most important ideas in early math: how small parts group together to make bigger units. A ten-frame is a rectangle with 10 boxes—two rows of 5. When every single box is filled, you have 10 counters all together, and those 10 ones combine to form exactly one group of ten.
So a full ten-frame shows 1 ten. That's the answer, because "one ten" is just another way of saying "10 ones grouped together." Counting tens, not ones, is the key here—the question is asking how many groups of ten you can see.
Now let's look at why the other choices don't fit. Saying it shows 0 tens would mean the frame is empty, but a full frame clearly has counters in it, so it can't be zero. Saying 2 tens would mean you'd need two full ten-frames (20 counters), but you only have one filled frame here. And 10 is a tempting trap: there are 10 counters, but the question asks how many tens, not how many ones. Ten single counters make just one ten.
A helpful tip: whenever a question asks "how many tens?", pause and ask yourself, "Am I counting the little pieces, or am I counting the groups?" A full ten-frame always equals 1 ten and 0 ones. Remembering that 10 ones = 1 ten will help you as you move on to bigger numbers like 20, 30, and beyond.
Question 7
Emma has 10 ones. What can she trade for them?
- one ten (correct answer)
- one one
- ten tens
- two ones
Explanation: This question tests 1st grade understanding that 10 ones can be bundled as one ten (CCSS.1.NBT.2.a). In our number system, 10 individual ones can be grouped or bundled together to make one ten. This doesn't change the amount—10 ones and 1 ten are the same quantity—but bundling helps us count and organize larger numbers more efficiently. The scenario involves Emma having 10 ones and trading them for an equivalent bundled unit. Choice A is correct because 10 ones can be traded for one ten. Choice C is a common error where students confuse 10 ones with ten tens; this happens because place value terminology is challenging. To help students: Provide extensive hands-on practice with base-10 blocks, physically bundling 10 unit cubes to match a ten-rod; use real objects like craft sticks with rubber bands to bundle 10 into 'one ten'; emphasize 'same amount, different name' when showing 10 ones = 1 ten; use ten-frames consistently; practice language explicitly ('ten ones' vs 'one ten'); demonstrate trading: exchange 10 ones for 1 ten; connect to counting by tens; avoid moving too quickly to symbolic notation.
Question 8
Look at 10 cubes. 10 ones is the same as ten.
- 0
- 1 (correct answer)
- 2
- 10
Explanation: Whenever you see a question about "ones" and "tens," picture your place-value blocks. A one is a single little cube, and a ten is a group of exactly 10 ones bundled together into one long rod. This is all about learning how we trade small units for bigger ones.
Here you have 10 cubes, and each cube is one "one." When you gather 10 ones together, they make exactly one group of ten. So 10 ones is the same as 1 ten. That's why the answer is 1 — you bundled your 10 single cubes into a single ten-stick.
Now look at the traps. Choosing 0 would mean your 10 cubes make no tens at all, but 10 is enough to make a group — so this is wrong. Choosing 2 would mean you had 20 ones (two full groups of ten), but you only have 10 cubes, not 20, so there aren't enough for 2 tens. Choosing 10 is the tempting trick: you see the number 10 in the question and grab it, but 10 is how many ones you have, not how many tens. Ten ones equal only 1 ten, not 10 tens (which would be 100 cubes!).
A helpful way to remember: 10 ones always trade for 1 ten, just like trading 10 pennies for 1 dime. Whenever you count 10 single things, wrap them up into one bigger group.
Question 9
Look at 10 dots circled as one group. How many tens are shown?
- 10
- 1 (correct answer)
- 0
- 2
Explanation: This question tests 1st grade understanding that 10 ones can be bundled as one ten (CCSS.1.NBT.B.2.a). In our number system, 10 individual ones can be grouped or bundled together to make one ten. This doesn't change the amount—10 ones and 1 ten are the same quantity—but bundling helps us count and organize larger numbers more efficiently. The stimulus shows 10 dots circled as one group, representing 10 ones bundled into one ten. Choice B is correct because the grouped 10 ones equal 1 ten. Choice A is a common error where students think the 10 ones mean 10 tens, confusing the units; this happens because the terminology 'one ten' is confusing when it represents 10 ones. To help students: Provide extensive hands-on practice with base-10 blocks, physically bundling 10 unit cubes to match a ten-rod; use real objects like craft sticks with rubber bands to bundle 10 into 'one ten'; emphasize 'same amount, different name' when showing 10 ones=1 ten; use ten-frames consistently; practice language explicitly ('ten ones' vs 'one ten'); demonstrate trading: exchange 10 ones for 1 ten; connect to counting by tens; avoid moving too quickly to symbolic notation. Question 10
Amir groups 10 counters to count faster. Why bundle 10 ones?
- To make counting easier (correct answer)
- To make 11
- To turn 10 into 5
- To make more counters
Explanation: This question tests 1st grade understanding that 10 ones can be bundled as one ten (CCSS.1.NBT.B.2.a). In our number system, 10 ones can be grouped or bundled together to make one ten. This doesn't change the amount—10 ones and 1 ten are the same quantity—but bundling helps us count and organize larger numbers more efficiently. The scenario involves Amir grouping 10 counters to count faster, highlighting the purpose of bundling. Choice A is correct because bundling 10 ones makes counting easier without changing the quantity. Choice B is a common error where students believe bundling changes the quantity to 11; this happens because understanding that grouping doesn't change quantity requires concrete experiences. To help students: Provide extensive hands-on practice with base-10 blocks, physically bundling 10 unit cubes to match a ten-rod; use real objects like craft sticks with rubber bands to bundle 10 into 'one ten'; emphasize 'same amount, different name' when showing 10 ones = 1 ten; use ten-frames consistently; practice language explicitly ('ten ones' vs 'one ten'); demonstrate trading: exchange 10 ones for 1 ten; connect to counting by tens; avoid moving too quickly to symbolic notation. Question 11
Emma trades 10 ones. How many tens does she get?
- 10
- 0
- 1 (correct answer)
- 11
Explanation: Trading exactly 10 ones makes 1 ten, since ten ones equal one ten. 10 mistakes the number of ones traded for the number of tens received. 0 assumes the trade loses all value instead of regrouping it. 11 mixes up the ones and tens instead of converting them. Only 1 ten correctly represents the trade.
Question 12
Use the number line to answer the question. Emma jumps by tens from 0 to 30, then adds individual ones. She lands on 37. How many bundles of ten and individual ones does this represent?
- 3 bundles of ten and 7 individual ones (correct answer)
- 37 bundles of ten and 0 individual ones
- 30 bundles of ten and 7 individual ones
- 7 bundles of ten and 3 individual ones
Explanation: The number 37 can be broken down as 3 tens and 7 ones. Emma jumped by tens (10, 20, 30) which represents 3 bundles of ten, then added 7 individual ones to reach 37. Choice B treats 37 as bundles instead of the total. Choice C confuses 30 as the number of bundles. Choice D reverses the tens and ones places.
Question 13
Look at 10 cubes. They are grouped into 1 ten. 10 ones is the same as ten.
- 0
- 1 (correct answer)
- 2
- 10
Explanation: When you're learning about place value, the big idea is that we can bundle small units into bigger groups. A "ten" is simply a group made from 10 single cubes, or 10 "ones." Think of it like gathering 10 loose pencils and wrapping them into 1 bundle — the bundle is still the same amount, just grouped differently.
In this question, you start with 10 cubes (10 ones), and they get grouped together into 1 group. So 10 ones = 1 ten. That's why the answer is 1 ten.
Now let's check the others. Saying 10 ones equals 0 tens would mean the cubes disappeared or that a full group of ten doesn't count as a ten at all — but you clearly have a group, so it's not zero. Saying it equals 2 tens would mean you had 20 cubes, since 2 tens is 2 × 10 = 20; you only have 10, so that's too many. Saying it equals 10 tens would mean you had 100 cubes, because 10 tens is 10 × 10 = 100 — that's way more than the 10 you started with. That choice mixes up the number 10 with the group it forms.
A helpful trick to remember: 10 ones always make exactly 1 ten. Whenever you count up 10 single things, you can trade them for one single bundle. Watch out for questions that repeat the number "10" to tempt you — the group you make is always just 1 ten.
Question 14
Jake made 4 bundles of ten pencils each. Then he used 6 individual pencils from one bundle for his homework. How many complete bundles of ten does Jake have now?
- 34 complete bundles of ten
- 4 complete bundles of ten
- 3 complete bundles of ten (correct answer)
- 10 complete bundles of ten
Explanation: When you see problems about bundles and individual items, you need to carefully track what happens to complete groups when some items are removed.
Jake starts with 4 complete bundles of ten pencils each. When he takes 6 individual pencils from one bundle, that bundle is no longer complete - it now has only 4 pencils left (10−6=4). Since a complete bundle must have exactly 10 pencils, this broken bundle doesn't count anymore.
This means Jake now has 3 complete bundles of ten pencils, plus one incomplete bundle with 4 pencils. The question asks specifically for complete bundles, so the answer is 3.
Let's examine why the other choices are wrong:
Choice A (34 complete bundles) makes no sense - Jake never had anywhere near this many bundles to begin with.
Choice B (4 complete bundles) is the trap answer. This would be correct if Jake hadn't touched any bundles, but once he removed pencils from one bundle, it's no longer complete.
Choice D (10 complete bundles) also makes no mathematical sense given that Jake started with only 4 bundles total.
Remember this key strategy: when solving bundle problems, always check whether groups remain "complete" after items are added or removed. The moment you take something out of a complete group, that group is no longer complete, even if other items remain in it. Question 15
Look at the table showing different students' collections. Which student needs exactly 3 more individual items to make their next complete bundle of ten?
- Lisa needs 3 more individual items (correct answer)
- Mike needs 3 more individual items
- Anna needs 3 more individual items
- Tom needs 3 more individual items
Explanation: Looking at each student: Lisa has 1 bundle + 7 individual = 17 total, so she needs 3 more to reach 20 (next bundle). Mike has 2 bundles + 4 individual = 24 total, needs 6 more. Anna has 0 bundles + 8 individual = 8 total, needs 2 more. Tom has 1 bundle + 2 individual = 12 total, needs 8 more. Only Lisa needs exactly 3 more.
Question 16
Carlos has 26 stickers total. He puts them into bundles of ten and individual stickers. Then he trades 1 bundle of ten for 8 individual stickers with his friend. How many individual stickers does Carlos have after the trade?
- 6 individual stickers after trading
- 14 individual stickers after trading (correct answer)
- 8 individual stickers after trading
- 26 individual stickers after trading
Explanation: This problem tests your understanding of place value and trading with tens and ones. When you see questions about bundling items into groups of ten, think about how numbers can be broken down into tens and ones.
Let's work through this step by step. Carlos starts with 26 stickers. First, he organizes them into bundles of ten and individual stickers. Since 26=20+6, he has 2 bundles of ten and 6 individual stickers.
Next, Carlos trades 1 bundle of ten for 8 individual stickers. After the trade, he has 1 bundle of ten left (since 2−1=1). For individual stickers, he started with 6, then gained 8 more from the trade, giving him 6+8=14 individual stickers.
Looking at the wrong answers: Choice A (6) only counts Carlos's original individual stickers and ignores the 8 he gained from trading. Choice C (8) only counts the stickers he received in the trade and forgets his original 6 individual stickers. Choice D (26) incorrectly suggests all his stickers became individual stickers, but he still has 1 bundle of ten that wasn't traded.
The correct answer is B: 14 individual stickers after trading.
When solving place value problems with trading, always track what happens to both the tens and ones separately. Make sure to account for what you start with, what you give away, and what you receive. Question 17
Sarah has some bundles of ten blocks and some individual blocks. She counts 10,20,30,31,32. Which statement best describes what Sarah has?
- 3 bundles and 32 individual blocks
- 5 bundles and 0 individual blocks
- 2 bundles and 12 individual blocks
- 3 bundles and 2 individual blocks (correct answer)
Explanation: When you see counting problems with bundles of ten, you need to understand place value - how we group numbers into tens and ones.
Let's follow Sarah's counting: 10,20,30,31,32. She starts by counting by tens (10,20,30), which means she's counting bundles of ten blocks. That's 3 bundles total. Then she continues 31,32, counting individual blocks one by one. Since she went from 30 to 32, she added 2 individual blocks.
So Sarah has 3 bundles of ten and 2 individual blocks, making answer D correct.
Let's check why the other answers don't work. Answer A says 3 bundles and 32 individual blocks. If Sarah had 32 individual blocks, she wouldn't count 10,20,30 first - she'd count each block separately. Answer B suggests 5 bundles and 0 individual blocks, but Sarah only counted three tens (10,20,30), not five, and she clearly has individual blocks since she counted 31,32. Answer C claims 2 bundles and 12 individual blocks, but Sarah counted three tens, not two.
When solving place value problems, listen carefully to the counting pattern. Counting by tens tells you about bundles, while counting by ones after that tells you about individual items. The switch from counting by tens to counting by ones is your key clue for separating the tens place from the ones place. Question 18
Jamal has 10 ones. Are they the same as 1 ten?
- Yes, same amount (correct answer)
- No, 10 ones is more
- No, 1 ten is more
- No, they make 11
Explanation: This question tests 1st grade understanding that 10 ones can be bundled as one ten (CCSS.1.NBT.B.2.a). In our number system, 10 individual ones can be grouped or bundled together to make one ten. This doesn't change the amount—10 ones and 1 ten are the same quantity—but bundling helps us count and organize larger numbers more efficiently. For example, 10 unit cubes placed separately are the same as 1 ten-rod (which contains 10 cubes stuck together). The scenario involves Jamal having 10 ones and comparing them to 1 ten. Choice A is correct because 10 ones and 1 ten represent the same quantity. Choice D is a common error where students add 10 ones and 1 ten to get 11 instead of understanding they're the same; this happens because place value is abstract and challenging. To help students: Provide extensive hands-on practice with base-10 blocks, physically bundling 10 unit cubes to match a ten-rod; use real objects like craft sticks with rubber bands to bundle 10 into 'one ten'; emphasize 'same amount, different name' when showing 10 ones = 1 ten; use ten-frames consistently; practice language explicitly ('ten ones' vs 'one ten'); demonstrate trading: exchange 10 ones for 1 ten; connect to counting by tens; avoid moving too quickly to symbolic notation.
Question 19
Maya bundles 10 sticks with a rubber band. What is it called?
- one ten (correct answer)
- ten tens
- ten ones
- one one
Explanation: This question tests 1st grade understanding that 10 ones can be bundled as one ten (CCSS.1.NBT.B.2.a). In our number system, 10 individual ones can be grouped or bundled together to make one ten. This doesn't change the amount—10 ones and 1 ten are the same quantity—but bundling helps us count and organize larger numbers more efficiently. The scenario describes Maya bundling 10 sticks with a rubber band, representing the grouping of 10 ones into one ten. Choice A is correct because the bundled group of 10 ones is called 'one ten.' Choice B is a common error where students believe bundling creates ten tens, confusing the unit; this happens because the terminology 'one ten' is confusing when it represents 10 ones. To help students: Provide extensive hands-on practice with base-10 blocks, physically bundling 10 unit cubes to match a ten-rod; use real objects like craft sticks with rubber bands to bundle 10 into 'one ten'; emphasize 'same amount, different name' when showing 10 ones = 1 ten; use ten-frames consistently; practice language explicitly ('ten ones' vs 'one ten'); demonstrate trading: exchange 10 ones for 1 ten; connect to counting by tens; avoid moving too quickly to symbolic notation.
Question 20
Jamal groups 10 counters. How many tens is that?
- 2
- 1 (correct answer)
- 10
- 5
Explanation: This question tests 1st grade understanding that 10 ones can be bundled as one ten (CCSS.1.NBT.2.a). In our number system, 10 individual ones can be grouped or bundled together to make one ten. This doesn't change the amount—10 ones and 1 ten are the same quantity—but bundling helps us count and organize larger numbers more efficiently. The scenario describes Jamal grouping 10 counters, which forms one bundled ten. Choice B is correct because grouping 10 counters equals 1 ten. Choice C is a common error where students think the number of ones directly equals the number of tens; this happens because understanding grouping requires concrete experiences. To help students: Provide extensive hands-on practice with base-10 blocks, physically bundling 10 unit cubes to match a ten-rod; use real objects like craft sticks with rubber bands to bundle 10 into 'one ten'; emphasize 'same amount, different name' when showing 10 ones = 1 ten; use ten-frames consistently; practice language explicitly ('ten ones' vs 'one ten'); demonstrate trading: exchange 10 ones for 1 ten; connect to counting by tens; avoid moving too quickly to symbolic notation.