Find Pairs That Make 10 - Kindergarten Math

1. Carlos has some toy cars. He gives $3$ cars to his friend. After giving away the cars, Carlos has $7$ cars left. If Carlos and his friend put all their cars together now, how many cars will they have?
   Answer: They will have $10$ cars together in total This problem is about addition and subtraction with real-world context. When you see word problems like this, break them down step by step to find what information you have and what you need to figure out. Let's work through this together. Carlos gives away $3$ cars and has $7$ cars left. To find how many cars Carlos started with, you add: $7 + 3 = 10$ cars originally. Now Carlos has $7$ cars, and his friend has the $3$ cars that Carlos gave him. When they put all their cars together, you add: $7 + 3 = 10$ cars total. Looking at the wrong answers: Answer A ($9$ cars) might come from accidentally subtracting instead of adding Carlos's remaining cars and his friend's cars: $7 - 3 = 4$, though this doesn't directly give $9$. Answer B ($11$ cars) could happen if you mistakenly added Carlos's original amount ($10$) plus his friend's cars ($3$) but forgot that this double-counts the $3$ cars. Answer D ($13$ cars) might result from adding all the numbers in the problem without thinking: $3 + 7 + 3 = 13$, but this incorrectly counts the $3$ given-away cars twice. The correct answer is C: they will have $10$ cars together in total. Remember this strategy: in word problems involving giving away items, the total number of items doesn't change—they just move from person to person. So Carlos's $7$ remaining cars plus his friend's $3$ cars equals the $10$ cars Carlos originally had.
2. Look at the domino shown. The domino has dots on both sides. If you want the total number of dots on the domino to equal $10$, how many dots should be on the right side?
   Answer: The right side should have $2$ dots total The left side of the domino shows 8 dots. To make 10 dots total, the right side needs 8 + 2 = 10, so 2 dots. Choice B (3) would give 8 + 3 = 11 dots total. Choice C (4) would give 8 + 4 = 12 dots total. Choice D (8) would give 8 + 8 = 16 dots total.
3. Look at the ten frame shown. Some circles are filled in and some are empty. If you want to fill all $10$ spaces, how many more circles do you need to draw?
   Answer: $3$ more circles need to be drawn The ten frame shows 7 filled circles. To make 10 total, we need 7 + 3 = 10, so 3 more circles are needed. Choice A (1) would give 7 + 1 = 8. Choice B (2) would give 7 + 2 = 9. Choice D (8) incorrectly counts the filled circles instead of the empty ones.
4. Emma has some red blocks and some blue blocks. She counts $7$ red blocks. If she puts all her blocks together, she will have exactly $10$ blocks total. How many blue blocks does Emma have?
   Answer: $3$ blue blocks When you see a problem about combining groups of objects, you're working with addition and subtraction. The key is to understand what you know and what you need to find. Emma has $7$ red blocks, and when she puts all her blocks together, she gets exactly $10$ blocks total. To find how many blue blocks she has, you need to figure out what number, when added to $7$, equals $10$. You can think of this as: $7 + ? = 10$. To solve this, you subtract what you know from the total: $10 - 7 = 3$. So Emma has $3$ blue blocks. Let's check why the other answers don't work. Choice A says $2$ blue blocks. If Emma had $2$ blue blocks, she would have $7 + 2 = 9$ blocks total, which is less than $10$. Choice B suggests $17$ blue blocks, which would give her $7 + 17 = 24$ blocks total—way more than $10$. Choice C claims $4$ blue blocks, which would mean $7 + 4 = 11$ blocks total, still too many. Only choice D works: $7 + 3 = 10$ blocks total, exactly what the problem tells us. Remember this strategy: when you know part of a group and the whole group, subtract the part from the whole to find what's missing. This "part + part = whole" thinking will help you solve many math problems as you continue learning.
5. Look at the picture showing dots in two groups. If you want to have exactly $10$ dots total, how many more dots do you need to add to the second group?
   Answer: You need to add $4$ more dots to the second group The first group has 4 dots and the second group has 2 dots, making 6 dots total currently. To reach 10 dots total, we need 6 + 4 = 10, so 4 more dots are needed in the second group. Choice A (2) would give 6 + 2 = 8 total. Choice B (3) would give 6 + 3 = 9 total. Choice D (6) would give 6 + 6 = 12 total.
6. Look at the number line. A frog starts at the number $4$ and wants to jump to the number $10$. If the frog makes just one jump, how many spaces must it jump?
   Answer: The frog must jump $6$ spaces forward Starting at 4 and ending at 10 means the frog jumps 4 + 6 = 10, so 6 spaces. We can count: 4‚Üí5‚Üí6‚Üí7‚Üí8‚Üí9‚Üí10 is 6 jumps. Choice A (5) would land at 4 + 5 = 9. Choice C (7) would land at 4 + 7 = 11. Choice D (14) comes from incorrectly adding 4 + 10 = 14.
7. Jake is playing a number game. He picks a mystery number and says: "When I add my mystery number to $6$, I get $10$. What is my mystery number?"
   Answer: The mystery number is $4$ When you see a mystery number problem, you're solving a simple equation by thinking about what number makes the math statement true. Jake says that his mystery number plus $6$ equals $10$. So you need to find what number, when added to $6$, gives you $10$. You can think of this as: mystery number $+ 6 = 10$. To find the mystery number, ask yourself: "What do I add to $6$ to get $10$?" You can count up from $6$ to $10$: $6, 7, 8, 9, 10$. That's $4$ more numbers, so the mystery number is $4$. You can check this: $4 + 6 = 10$ ✓ Let's see why the other answers don't work: A) If the mystery number were $3$, then $3 + 6 = 9$, not $10$. B) If the mystery number were $16$, then $16 + 6 = 22$, which is way too big. C) If the mystery number were $5$, then $5 + 6 = 11$, which is one too many. The correct answer is D) $4$. Strategy tip: For mystery number problems, always check your answer by plugging it back into the original statement. If Jake's mystery number is $4$, does $4 + 6 = 10$? Yes! This checking step will help you catch mistakes and feel confident in your answer.
8. Lily is counting her crayons. She has $5$ red crayons and some blue crayons. When she counts all her crayons together, she gets $10$. Later, she gives away $1$ blue crayon to her brother. How many blue crayons does Lily have now?
   Answer: Lily now has $4$ blue crayons remaining Lily has 5 red crayons and 10 total crayons, so she started with 5 + 5 = 10, meaning 5 blue crayons. After giving away 1 blue crayon, she has 5 - 1 = 4 blue crayons left. Choice A (3) subtracts 2 instead of 1. Choice C (5) forgets to subtract the given away crayon. Choice D (6) incorrectly adds instead of subtracts.
9. Maria is making towers with building blocks. She builds one tower with $8$ blocks and wants to build a second tower so that both towers together have exactly $10$ blocks. How many blocks should she use for the second tower?
   Answer: She should use $2$ blocks for the second tower When you see a problem asking how many more items you need to reach a total, you're working with addition and finding missing parts. Think about what you know and what you're trying to find. Maria already has one tower with $8$ blocks, and she wants both towers together to have exactly $10$ blocks total. To find how many blocks the second tower needs, you can think: "$8$ blocks plus how many more blocks equals $10$ blocks?" This gives you the equation $8 + ? = 10$. To solve this, you can count up from $8$ to $10$: "$8$, $9$, $10$" — that's $2$ more blocks needed. Or you can subtract: $10 - 8 = 2$. So Maria needs $2$ blocks for her second tower. Looking at the wrong answers: Choice A suggests $1$ block, but $8 + 1 = 9$, which is less than the target of $10$ blocks. Choice B suggests $3$ blocks, but $8 + 3 = 11$, which exceeds the target. Choice D suggests $18$ blocks, but $8 + 18 = 26$, which is way too many — this choice might tempt students who mistakenly add $8 + 10$ instead of finding the missing part. The correct answer is C: $2$ blocks for the second tower. Memory tip: When finding a missing part, always check your answer by adding it to what you already have. Your total should match exactly what the problem asks for.
10. Sam has $9$ stickers in his collection. His sister gives him some more stickers. Now Sam has exactly $10$ stickers. Which equation shows how many stickers his sister gave him?
    Answer: $9 + 1 = 10$, so she gave him $1$ sticker Sam started with 9 stickers and ended with 10 stickers. So 9 + ? = 10, which means ? = 1. The equation 9 + 1 = 10 is correct. Choice B shows 9 + 2 = 11, but Sam has 10, not 11. Choice C has incorrect arithmetic (10 - 9 = 1, not 19). Choice D adds the starting and ending amounts incorrectly.

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