All questions
Question 1
Look at 40 shown as 4 ten-rods and 0 ones. 40 is tens and ones.
- 4 tens and 0 ones (correct answer)
- 0 tens and 4 ones
- 4 tens and 4 ones
- 40 tens and 0 ones
Explanation: When you work with two-digit numbers, think of them as groups: each ten-rod stands for a bundle of 10, and each ones cube stands for a single 1. The number tells you how many bundles of ten and how many leftover ones you have.
Here you can see 4 ten-rods and 0 ones cubes. Counting the tens gives 4 × 10 = 40, and there are no extra ones to add. So 40 is made of 4 tens and 0 ones — exactly what the picture shows.
Now look at why the other choices don't fit. "0 tens and 4 ones" flips the picture backwards; that would only make 4, not 40. "4 tens and 4 ones" adds four extra ones that aren't in the picture, giving 44 instead of 40. "40 tens and 0 ones" confuses the whole number with the number of tens — but 40 tens would actually be 40 × 10 = 400, way too big.
A helpful trick: in a two-digit number, the first digit tells you the tens and the second digit tells you the ones. In 40, the 4 is in the tens place and the 0 is in the ones place, so it must be 4 tens and 0 ones. Whenever you see ten-rods, just count the rods for tens and the loose cubes for ones.
Question 2
Look at the number 50. It is tens and ones.
- 5 tens and 0 ones (correct answer)
- 0 tens and 5 ones
- 5 tens and 5 ones
- 50 tens and 0 ones
Explanation: When you see a two-digit number, each digit has a special job called its place value. The digit on the left tells you how many tens you have, and the digit on the right tells you how many ones. Think of tens as groups of 10 and ones as single leftover units.
Look at 50. The digit on the left is 5, which sits in the tens place, so that means 5 tens. The digit on the right is 0, which sits in the ones place, so that means 0 ones. If you count 5 groups of ten, you get 10 + 10 + 10 + 10 + 10 = 50, which matches perfectly! So the answer is 5 tens and 0 ones.
The choice "0 tens and 5 ones" flips the two digits around — that would actually spell the number 5, not 50. The choice "5 tens and 5 ones" adds an extra 5 ones, giving 50 + 5 = 55, which is too big. The choice "50 tens and 0 ones" confuses the whole number with the tens count — 50 tens would be 50 × 10 = 500, way too large.
A helpful trick: for any two-digit number, just read it left to right. The first digit is your tens, and the second digit is your ones. Practice by covering one digit at a time and naming its place value — soon it will feel automatic!
Question 3
Sofia has 30 as 3 bundles of 10 and 0 loose sticks. How many ones?
- 3
- 30
- 0 (correct answer)
- 10
Explanation: This question tests 1st grade understanding that decade numbers (10, 20, 30...90) represent multiples of ten with 0 ones (CCSS.1.NBT.2.c). Decade numbers—10, 20, 30, 40, 50, 60, 70, 80, and 90—are special because they contain only tens and no ones. For example, 30 is 3 tens and 0 ones, which we can see by showing 3 bundles of 10 sticks with no loose sticks; the digit in the tens place tells us how many tens, and the 0 in the ones place tells us there are no loose ones. The stimulus shows 30 represented with 3 bundles of 10 sticks and no loose sticks. Choice C is correct because 30 is composed of 3 tens and 0 ones, shown by 3 bundles. Choice A is a common error where students reverse tens and ones (think 3 ones instead of 0); this happens because the 0 in ones place is sometimes overlooked and students confuse decade structure with teen structure. To help students: Use base-10 blocks extensively—show only ten-rods with explicit empty space where ones would be; emphasize 0 ones verbally and visually; practice counting by tens (10, 20, 30...90); connect decade numbers to skip counting; compare decades to non-decades (30 vs 33: both have 3 tens, but 33 also has 3 ones); write equations showing 3 tens+0 ones=30; use place value charts highlighting the 0 in ones place; have students build each decade with blocks. Question 4
A number has 6 tens and 0 ones. Kim adds 3 tens to this number. How many tens does the new number have?
- The new number has 3 tens
- The new number has 6 tens
- The new number has 9 tens (correct answer)
- The new number has 30 tens
Explanation: The original number has 6 tens (which is 60). Adding 3 tens means 6 + 3 = 9 tens total. Choice A shows only the tens added. Choice B shows only the original tens. Choice D incorrectly multiplies 6 × 3 = 18, then doubles it.
Question 5
Look at the pattern: 20,30,40,50. The tens in these numbers are 2,3,4,5. If the pattern continues for two more numbers, how many tens will the last number have?
- The last number will have 6 tens
- The last number will have 7 tens (correct answer)
- The last number will have 60 tens
- The last number will have 70 tens
Explanation: The pattern of tens is 2, 3, 4, 5, and continues 6, 7. So the last number after two more steps will have 7 tens (which would be the number 70). Choice A gives the second-to-last number of tens. Choices C and D confuse the number of tens with the actual number value.
Question 6
Lily has 90 stickers arranged in groups of ten. She gives away 30 stickers to her friends. How many groups of ten does she have left?
- 6 (correct answer)
- 3
- 9
- 60
Explanation: Lily starts with 9 groups of ten and gives away 3 groups of ten, leaving 6 groups. 3 is how many groups she gave away, not how many she has left. 9 repeats her starting number of groups without subtracting any. 60 mixes up the number of stickers with the number of groups. Only 6 correctly shows how many groups of ten Lily has left.
Question 7
Amir has 7 tens and 0 ones. What number is that?
- 7
- 70 (correct answer)
- 17
- 77
Explanation: This question tests 1st grade understanding that decade numbers (10, 20, 30...90) represent multiples of ten with 0 ones (CCSS.1.NBT.2.c). Decade numbers—10, 20, 30, 40, 50, 60, 70, 80, and 90—are special because they contain only tens and no ones. For example, 70 is 7 tens and 0 ones, which we can see by showing 7 ten-rods with no unit cubes; the digit in the tens place tells us how many tens, and the 0 in the ones place tells us there are no loose ones. The stimulus describes Amir having 7 tens and 0 ones, and asks what number that is. Choice B is correct because 70 is composed of 7 tens and 0 ones. Choice C is a common error where students confuse decade structure with teen structure (1 ten and 7 ones for 17); this happens because decade numbers look similar to teens but have different structure. To help students: Use base-10 blocks extensively—show only ten-rods with explicit empty space where ones would be; emphasize 0 ones verbally and visually; practice counting by tens (10, 20, 30...90); connect decade numbers to skip counting; compare decades to non-decades (70 vs 77: both have 7 tens, but 77 also has 7 ones); write equations showing 7 tens + 0 ones = 70; use place value charts highlighting the 0 in ones place; have students build each decade with blocks.
Question 8
How is 40 different from 43?
- 40 has 4 tens and 0 ones (correct answer)
- 40 has 0 tens and 4 ones
- 40 has 4 tens and 3 ones
- 40 has 3 tens and 0 ones
Explanation: This question tests 1st grade understanding that decade numbers (10, 20, 30...90) represent multiples of ten with 0 ones (CCSS.1.NBT.2.c). Decade numbers—10, 20, 30, 40, 50, 60, 70, 80, and 90—are special because they contain only tens and no ones. For example, 40 is 4 tens and 0 ones, while 43 is 4 tens and 3 ones; we can see this by showing 4 ten-rods with no units for 40 versus adding 3 units for 43, highlighting the role of the ones place. The stimulus asks how 40 is different from 43, focusing on their place value composition. Choice A is correct because 40 has 4 tens and 0 ones, whereas 43 has 4 tens and 3 ones, showing the difference in ones. Choice C is a common error where students include ones when there are none (4 tens and 3 ones for 40, confusing it with 43); this happens because students miscount or blend the two numbers. To help students: Use base-10 blocks extensively—show only ten-rods with explicit empty space where ones would be; emphasize 0 ones verbally and visually; practice counting by tens (10, 20, 30...90); connect decade numbers to skip counting; compare decades to non-decades (40 vs 43: both have 4 tens, but 43 also has 3 ones); write equations showing 4 tens + 0 ones = 40; use place value charts highlighting the 0 in ones place; have students build each decade with blocks.
Question 9
Chen has 3 tens and 0 ones. What number is it?
- 13
- 33
- 3
- 30 (correct answer)
Explanation: 3 tens and 0 ones makes the number 30. 13 mixes up the order of the tens and ones digits. 33 adds an extra 3 in the ones place that isn't there. 3 counts only the number of tens groups, not the value they represent. Only 30 correctly shows the number made from 3 tens and 0 ones.
Question 10
What do 10, 20, and 30 have in common?
- They all have 3 tens
- They all have 0 ones (correct answer)
- They all have 5 ones
- They are teen numbers
Explanation: This question tests 1st grade understanding that decade numbers (10, 20, 30...90) represent multiples of ten with 0 ones (CCSS.1.NBT.2.c). Decade numbers—10, 20, 30, 40, 50, 60, 70, 80, and 90—are special because they contain only tens and no ones. For example, 10 is 1 ten and 0 ones, 20 is 2 tens and 0 ones, and 30 is 3 tens and 0 ones; we can see this by showing ten-rods with no unit cubes, where the tens digit varies but ones is always 0. The stimulus asks what 10, 20, and 30 have in common. Choice B is correct because they all have 0 ones, a key feature of decade numbers. Choice A is a common error where students focus on one number's tens (3 tens for 30) instead of the shared trait; this happens because the 0 in ones place is sometimes overlooked. To help students: Use base-10 blocks extensively—show only ten-rods with explicit empty space where ones would be; emphasize 0 ones verbally and visually; practice counting by tens (10, 20, 30...90); connect decade numbers to skip counting; compare decades to non-decades (30 vs 33: both have 3 tens, but 33 also has 3 ones); write equations showing varying tens + 0 ones = decade; use place value charts highlighting the 0 in ones place; have students build each decade with blocks.
Question 11
Maya has 4 bundles of 10 straws and 0 loose straws. What number do the bundles represent?
- 4
- 44
- 40 (correct answer)
- 30
Explanation: 4 bundles of 10 straws make 40, since 4 tens equal 40. 4 counts only the number of bundles, not the value they represent. 44 mistakenly adds 4 loose straws that Maya doesn't have. 30 would only be 3 bundles of 10, not 4. Only 40 correctly matches 4 bundles of 10 with none left over.
Question 12
Use the chart to answer the question. Which two numbers from the chart have a total of 7 tens when you add their tens together?
- 30 and 40 have 7 tens total
- 20 and 50 have 7 tens total (correct answer)
- 60 and 10 have 7 tens total
- 40 and 20 have 7 tens total
Explanation: Looking at the tens in each number: 20 has 2 tens, 50 has 5 tens, and 2 + 5 = 7 tens total. Choice A: 3 + 4 = 7 tens but 40 is not in the chart. Choice C: 6 + 1 = 7 tens but 60 is not in the chart. Choice D: 4 + 2 = 6 tens, not 7.
Question 13
Look at the number line. Point A shows a number that has the same number of tens as which other number?
- 25 has the same tens
- 82 has the same tens (correct answer)
- 90 has the same tens
- 38 has the same tens
Explanation: Point A is at 80, which has 8 tens. The number 82 also has 8 tens (8 tens and 2 ones). Choice A has 2 tens, Choice C has 9 tens, and Choice D has 3 tens.
Question 14
Study the table. Which statement about the tens in these numbers is correct?
- Number C has more tens than Number A and Number B combined (correct answer)
- Number B has more tens than Number A and Number C combined
- Number A has more tens than Number B and Number C combined
- All three numbers have exactly the same number of tens
Explanation: From the table: Number A (20) has 2 tens, Number B (30) has 3 tens, Number C (60) has 6 tens. Number C has 6 tens, which is more than A and B combined (2 + 3 = 5 tens). Choice B: 3 is not greater than 2 + 6 = 8. Choice C: 2 is not greater than 3 + 6 = 9. Choice D: 2, 3, and 6 are not equal.
Question 15
Jamal shows 60 with ten-rods only. How many tens?
- 0
- 60
- 6 (correct answer)
- 5
Explanation: This question tests 1st grade understanding that decade numbers (10, 20, 30...90) represent multiples of ten with 0 ones (CCSS.1.NBT.2.c). Decade numbers—10, 20, 30, 40, 50, 60, 70, 80, and 90—are special because they contain only tens and no ones. For example, 60 is 6 tens and 0 ones, which we can see by showing 6 ten-rods with no unit cubes; the digit in the tens place tells us how many tens, and the 0 in the ones place tells us there are no loose ones. The stimulus describes Jamal showing 60 with ten-rods only. Choice C is correct because 60 is composed of 6 tens and 0 ones, shown by 6 ten-rods. Choice B is a common error where students count the total value instead of number of tens (says 60 = 60 tens); this happens because place value is abstract and the total count can be confused with the number of tens. To help students: Use base-10 blocks extensively—show only ten-rods with explicit empty space where ones would be; emphasize 0 ones verbally and visually; practice counting by tens (10, 20, 30...90); connect decade numbers to skip counting; compare decades to non-decades (60 vs 66: both have 6 tens, but 66 also has 6 ones); write equations showing 6 tens+0 ones=60; use place value charts highlighting the 0 in ones place; have students build each decade with blocks. Question 16
Jamal shows 60 with 6 ten-rods and 0 ones. How many tens are in 60?
- 6 (correct answer)
- 0
- 60
- 5
Explanation: This question tests 1st grade understanding that decade numbers (10, 20, 30...90) represent multiples of ten with 0 ones (CCSS.1.NBT.2.c). Decade numbers—10, 20, 30, 40, 50, 60, 70, 80, and 90—are special because they contain only tens and no ones. For example, 60 is 6 tens and 0 ones, which we can see by showing 6 ten-rods with no unit cubes; the digit in the tens place tells us how many tens, and the 0 in the ones place tells us there are no loose ones. The stimulus shows 60 represented with 6 ten-rods and no unit cubes. Choice A is correct because 60 contains exactly 6 tens with 0 ones. Choice C is a common error where students count the total value instead of number of tens (says 60 = 60 tens); this happens because place value is abstract and students confuse the total count with the number of tens. To help students: Use base-10 blocks extensively—show only ten-rods with explicit empty space where ones would be; emphasize 0 ones verbally and visually; practice counting by tens (10, 20, 30...90); connect decade numbers to skip counting; compare decades to non-decades (60 vs 66: both have 6 tens, but 66 also has 6 ones); write equations showing 6 tens + 0 ones = 60; use place value charts highlighting the 0 in ones place; have students build each decade with blocks.
Question 17
Ben counts by tens: 10,20,30,40,50. Sarah counts the tens in each number: 1,2,3,4,5. If Ben says 80 next, what should Sarah say next?
- Sarah should say 6
- Sarah should say 80
- Sarah should say 8 (correct answer)
- Sarah should say 10
Explanation: Sarah counts how many tens are in each number. Since 80 has 8 tens (8 tens and 0 ones), Sarah should say 8. Choice A continues the pattern incorrectly as 6. Choice B repeats Ben's number. Choice D gives the next multiple of ten incorrectly.
Question 18
Maria has some tens blocks and ones blocks. She makes the number 70. Then she trades 2 tens blocks for 20 ones blocks. How many tens blocks does she have now?
- 5 tens blocks (correct answer)
- 7 tens blocks
- 9 tens blocks
- 2 tens blocks
Explanation: To make 70, Maria needs 7 tens blocks (and 0 ones blocks). When she trades 2 tens blocks for 20 ones blocks, she has 7 - 2 = 5 tens blocks remaining. Choice B incorrectly keeps the original number of tens. Choice C incorrectly adds instead of subtracts. Choice D shows only the number traded away.
Question 19
Maya has 70 as 7 bundles of 10 and 0 loose ones. 70 is how many tens?
- 0
- 7 (correct answer)
- 70
- 8
Explanation: This question tests 1st grade understanding that decade numbers (10, 20, 30...90) represent multiples of ten with 0 ones (CCSS.1.NBT.2.c). Decade numbers—10, 20, 30, 40, 50, 60, 70, 80, and 90—are special because they contain only tens and no ones. For example, 70 is 7 tens and 0 ones, which we can see by showing 7 bundles of 10 sticks with no loose sticks; the digit in the tens place tells us how many tens, and the 0 in the ones place tells us there are no loose ones. The stimulus shows 70 represented with 7 bundles of 10 sticks and no loose sticks. Choice B is correct because 70 is composed of 7 tens and 0 ones, shown by 7 bundles. Choice C is a common error where students count the total value instead of number of tens (says 70 = 70 tens); this happens because place value is abstract and students confuse the total count with the number of tens. To help students: Use base-10 blocks extensively—show only ten-rods with explicit empty space where ones would be; emphasize 0 ones verbally and visually; practice counting by tens (10, 20, 30...90); connect decade numbers to skip counting; compare decades to non-decades (70 vs 77: both have 7 tens, but 77 also has 7 ones); write equations showing 7 tens + 0 ones = 70; use place value charts highlighting the 0 in ones place; have students build each decade with blocks.
Question 20
Look at 80 shown with 8 ten-rods and 0 ones. How many ones are in 80?
- 8
- 80
- 0 (correct answer)
- 10
Explanation: This question tests 1st grade understanding that decade numbers (10, 20, 30...90) represent multiples of ten with 0 ones (CCSS.1.NBT.2.c). Decade numbers—10, 20, 30, 40, 50, 60, 70, 80, and 90—are special because they contain only tens and no ones. For example, 80 is 8 tens and 0 ones, which we can see by showing 8 ten-rods with no unit cubes; the digit in the tens place tells us how many tens, and the 0 in the ones place tells us there are no loose ones. The stimulus shows 80 represented with 8 ten-rods and no unit cubes. Choice C is correct because 80 is composed of 8 tens and 0 ones, shown by 8 ten-rods. Choice A is a common error where students reverse tens and ones (think 8 ones instead of 0); this happens because the 0 in ones place is sometimes overlooked and students confuse decade structure with teen structure. To help students: Use base-10 blocks extensively—show only ten-rods with explicit empty space where ones would be; emphasize 0 ones verbally and visually; practice counting by tens (10, 20, 30...90); connect decade numbers to skip counting; compare decades to non-decades (80 vs 88: both have 8 tens, but 88 also has 8 ones); write equations showing 8 tens + 0 ones = 80; use place value charts highlighting the 0 in ones place; have students build each decade with blocks.