Count To 100 By Ones And Tens - Kindergarten Math

1. Use the number line to answer the question. Jake starts at $0$ and makes $3$ jumps of $10$, then makes $4$ jumps of $1$. Where does Jake land?
   Answer: Jake lands at $34$ Starting at 0, Jake makes 3 jumps of 10: 0‚Üí10‚Üí20‚Üí30. Then 4 jumps of 1: 30‚Üí31‚Üí32‚Üí33‚Üí34. He lands at 34. Choice B reverses the digits (43 instead of 34). Choice C represents adding 3+4=7 to 30. Choice D represents stopping after only the jumps of 10.
2. Count by tens: $30, 40, 50,$ ___. What number comes next?
   Answer: $60$ When you count by tens, each number is $10$ more: $30, 40, 50, 60$. So $60$ comes next.
3. Lisa counts: $85, 86, 87, 88, 89, 90$. Now she wants to continue counting but switch to counting by tens. If she continues from $90$ and counts by tens until she reaches $100$, how many more numbers will she say?
   Answer: She will say $1$ more number Starting from 90 and counting by tens to reach 100, Lisa will say: 100. That's only 1 more number. Choice B might come from thinking 90→100 is 2 jumps. Choice C confuses the size of the jump (10) with the count of numbers. Choice D represents some other miscounting error.
4. Sarah counts by tens from $20$ to $80$. Then she counts by ones from $80$ to $85$. How many numbers did Sarah say in total?
   Answer: $11$ numbers total Counting by tens from 20 to 80: 20, 30, 40, 50, 60, 70, 80 (7 numbers). Then counting by ones from 80 to 85: 81, 82, 83, 84, 85 (4 more numbers, not repeating 80). Total: 7 + 4 = 11 numbers. Choice A incorrectly counts 80 twice. Choice B adds an extra number due to miscounting. Choice D only counts the tens sequence.
5. Maya is counting by tens starting from $10$. She says: "$10$, $20$, $30$..." If she continues this pattern and says exactly $7$ more numbers after $30$, what will be the last number she says?
   Answer: $100$ After saying 30, Maya will say 7 more numbers counting by tens: 40, 50, 60, 70, 80, 90, 100. The last number is 100. Choice A (70) represents counting only 4 more numbers. Choice C (90) represents counting only 6 more numbers. Choice D (37) shows confusion between counting by tens versus counting by ones.
6. Ben says $0$. He counts by tens: $10, 20, 30, 40$. Then he keeps counting by ones: $41, 42, 43, 44, 45$. How many numbers did Ben say in all?
   Answer: Ben said $10$ numbers total during the game Ben counts by tens: $0, 10, 20, 30, 40$. That is $5$ numbers. Then he counts by ones: $41, 42, 43, 44, 45$. That is $5$ more numbers. $5 + 5 = 10$, so Ben said $10$ numbers.
7. Refer to the counting sequence below. Amy counts by tens starting from $10$: $10, 20, 30, 40, 50, 60, 70, 80, 90, 100$. Then she counts backward by ones from $100$. What are the first $4$ numbers she says when counting backward?
   Answer: $99, 98, 97, 96$ are her first four backward numbers When you see a question about counting sequences, pay attention to the direction (forward or backward) and the counting pattern (by ones, twos, tens, etc.). This question has two parts: first Amy counts by tens, then she switches to counting backward by ones. Let's follow Amy's counting carefully. She starts counting by tens: $10, 20, 30, 40, 50, 60, 70, 80, 90, 100$. When she reaches $100$, she switches to counting backward by ones. The key question is: what does "counting backward by ones from $100$" mean? When you count backward by ones from $100$, you start at $100$ and subtract $1$ each time: $100, 99, 98, 97, 96, 95...$ The question asks for the "first $4$ numbers she says when counting backward." Since she already said $100$ at the end of her counting by tens, the first four new numbers when counting backward are $99, 98, 97, 96$. This makes D correct. Let's check the wrong answers. Choice A ($95, 94, 93, 92$) skips several numbers - these would be her 5th through 8th backward numbers. Choice B ($90, 80, 70, 60$) incorrectly continues counting backward by tens instead of switching to counting by ones. Choice C ($100, 99, 98, 97$) includes $100$, but since Amy already said $100$ to end her first sequence, it shouldn't count as one of her backward numbers. Remember: when the counting pattern changes in a problem, pay close attention to where one sequence ends and the new one begins.
8. Look at the hundred chart shown. If you start at $73$ and count by ones in the direction of increasing numbers, which number will you land on after counting $6$ more numbers?
   Answer: You will land on $79$ Starting at 73 and counting 6 more numbers by ones: 74, 75, 76, 77, 78, 79. You land on 79. Choice B represents counting only 5 more numbers. Choice C represents counting 7 more numbers. Choice D represents counting only 3 more numbers.

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