All questions
Question 1
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?
- Lily now has 3 blue crayons remaining
- Lily now has 4 blue crayons remaining (correct answer)
- Lily now has 5 blue crayons remaining
- Lily now has 6 blue crayons remaining
Explanation: 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.
Question 2
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?
- 1 more circle needs to be drawn
- 2 more circles need to be drawn
- 3 more circles need to be drawn (correct answer)
- 8 more circles need to be drawn
Explanation: 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.
Question 3
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?
- The right side should have 2 dots total (correct answer)
- The right side should have 3 dots total
- The right side should have 4 dots total
- The right side should have 8 dots total
Explanation: 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.
Question 4
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?
- You need to add 2 more dots to the second group
- You need to add 3 more dots to the second group
- You need to add 4 more dots to the second group (correct answer)
- You need to add 6 more dots to the second group
Explanation: 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.
Question 5
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?
- The frog must jump 5 spaces forward
- The frog must jump 6 spaces forward (correct answer)
- The frog must jump 7 spaces forward
- The frog must jump 14 spaces forward
Explanation: 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.
Question 6
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?
- She should use 1 block for the second tower
- She should use 3 blocks for the second tower
- She should use 2 blocks for the second tower (correct answer)
- She should use 18 blocks for the second tower
Explanation: 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. Question 7
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?
- They will have 9 cars together in total
- They will have 11 cars together in total
- They will have 10 cars together in total (correct answer)
- They will have 13 cars together in total
Explanation: 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. Question 8
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?
- 2 blue blocks
- 17 blue blocks
- 4 blue blocks
- 3 blue blocks (correct answer)
Explanation: 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. Question 9
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?
- 9+1=10, so she gave him 1 sticker (correct answer)
- 9+2=11, so she gave him 2 stickers
- 10−9=19, so she gave him 19 stickers
- 9+10=19, so she gave him 10 stickers
Explanation: 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.
Question 10
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?"
- The mystery number is 3
- The mystery number is 16
- The mystery number is 5
- The mystery number is 4 (correct answer)
Explanation: 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.