All questions
Question 1
You are counting backward by 10s, starting at 90: 90, 80, 70, 60. What number do you say right before you reach 70?
- 70
- 60
- 75
- 80 (correct answer)
Explanation: Counting backward by 10s from 90 gives the sequence 90, 80, 70, 60. The number said right before reaching 70 is 80. Choice A repeats 70 itself instead of the number before it. Choice B is the number that comes after 70, not before. Choice C is not part of this counting-by-10s pattern at all.
Question 2
Continue the pattern by 10s: 50, 60, 70, 80. What are the next two numbers?
- 80, 90
- 90, 100 (correct answer)
- 100, 110
- 85, 95
Explanation: The correct answer is 90, 100, because the pattern adds 10 each time, so after 80 comes 90, then 100. Choice A (80, 90) repeats the last number already given instead of continuing forward. Choice C (100, 110) skips ahead too far and misses 90. Choice D (85, 95) increases by 5 instead of 10.
Question 3
Sarah skip counts by 5s and writes these numbers: 25,30,35,40,45. If she continues this pattern and writes 3 more numbers, what will be the largest number she writes?
- 50
- 55
- 60 (correct answer)
- 65
Explanation: Sarah is counting by 5s. After 45, the next 3 numbers are: 50, 55, 60. The largest of these is 60. Choice A is only the first additional number. Choice B is the second additional number. Choice D would be the fourth additional number, but she only writes 3 more.
Question 4
Lisa writes a skip counting pattern by 10s: 85,95,105,115,125. If she wants to continue until she reaches a number greater than 150, what is the first number greater than 150 that she will write?
- 155 (correct answer)
- 145
- 160
- 165
Explanation: When you see a skip counting pattern, you need to identify the rule and continue applying it step by step. Lisa is counting by 10s, which means she adds 10 to each number to get the next one.
Let's continue her pattern from where it ends at 125. Adding 10 each time: 125+10=135, then 135+10=145, then 145+10=155. Since 155 is greater than 150, this is the first number in her pattern that meets the requirement.
Looking at the answer choices: Choice A (155) is correct because it's the natural next step in the pattern after reaching numbers greater than 150. Choice B (145) is wrong because while it appears in Lisa's pattern, 145 is less than 150, so it doesn't meet the condition. Choice C (160) is wrong because although 160 is greater than 150, it's not the first number greater than 150 in the pattern—155 comes before it. Choice D (165) is wrong for the same reason as C; it would come even later in the sequence.
When working with skip counting problems, always continue the pattern step by step rather than jumping ahead. Write out each number in sequence until you reach the condition mentioned in the question. This prevents you from accidentally skipping over the correct answer. Question 5
The chart shows a skip-counting pattern by 5s. Which number is placed in the WRONG spot?
- 115
- 125
- 135
- 140 (correct answer)
Explanation: When you skip-count by 5s, each number goes up by exactly 5 from the one before it. So to check a pattern, you just add 5 each time and see if every number matches what should come next.
Starting from a number like 110, counting by 5s gives you: 110,115,120,125,130,135,140,145... Notice that every number in this pattern ends in either a 0 or a 5. That's a quick trick — if you're skip-counting by 5s, every number must end in 0 or 5.
Now look at the choices. Answer D, 140, fits the skip-counting by 5s rule perfectly (it ends in 0 and follows 135). But in the chart, 140 is placed where it doesn't belong in the sequence — likely where a different number like 130 or 145 should go, breaking the +5 pattern.
Choice A (115) is correct in its spot because 110+5=115. Choice B (125) is correct because 120+5=125. Choice C (135) is correct because 130+5=135. These all follow the steady +5 jump, so they're in the right places.
Study tip: When checking a skip-counting pattern, don't just look at whether a number could belong in the sequence — check whether it's in the right position. Always add the skip number to the one before it and see if you land on the number shown. Question 6
The number line shows a skip-counting pattern by 100s with one wrong number. Which number does NOT belong in the pattern?
- 150
- 250
- 305 (correct answer)
- 450
Explanation: When you see a skip-counting pattern, your first job is to figure out the "jump size" and then check whether every number fits that jump. Skip-counting by 100s means each number should be exactly 100 more than the one before it, and every number should end in the same two digits (in this case, "50" or "00").
Looking at the numbers, you can see a pattern forming: 150,250,350,450,550... Each number ends in 50 and increases by 100. So 305 breaks the pattern in two ways — it ends in "05" instead of "50," and it isn't 100 more or 100 less than the numbers around it. That makes C the number that does NOT belong.
Here's why the others fit:
- A (150) fits — it's a valid step in the count-by-100s pattern ending in 50.
- B (250) fits — it's exactly 150+100.
- D (450) fits — it continues the pattern: 250+100=350, then 350+100=450.
- C (305) is the odd one out because it doesn't end in 50 and doesn't sit 100 away from its neighbors.
Study tip: When checking a skip-counting pattern, look at the last two digits of each number. If one number's ending doesn't match the others, that's usually your clue it doesn't belong — even before you do any adding! Question 7
There are 6 dimes. Each dime is worth 10 cents. How many cents are the dimes worth in all?
- 65¢
- 60¢ (correct answer)
- 70¢
- 50¢
Explanation: Each dime is worth 10 cents, and there are 6 dimes, so 6 dimes are worth 60 cents in all. Getting 65¢ or 70¢ would mean counting one dime as worth more than 10 cents. Getting 50¢ would mean leaving out one whole dime. Counting by tens six times (10, 20, 30, 40, 50, 60) confirms 60 cents is correct.
Question 8
Count by 5s forward: 25, 30, 35, 40. What comes next?
- 46
- 50
- 41
- 45 (correct answer)
Explanation: Counting by 5s from 40, the next number is 45, since each step adds 5. Choosing 46 or 41 comes from counting by 1 instead of by 5. Choosing 50 skips ahead by 10 instead of following the correct 5s pattern.
Question 9
Emma has 6 dimes. How much money does she have in all?
- 70¢
- 60¢ (correct answer)
- 50¢
- 16¢
Explanation: Six dimes are worth 10 cents each, and 6 times 10 is 60, so Emma has 60 cents, matching B. A is incorrect because it is one dime too many. C is incorrect because it is one dime too few. D is incorrect because it adds the number of dimes to 10 instead of multiplying.
Question 10
Continue the pattern, counting forward by 5s: 15, 20, 25, 30. What are the next two numbers?
- 35, 40 (correct answer)
- 40, 45
- 32, 37
- 30, 35
Explanation: The correct answer is 35, 40, because the pattern adds 5 each time, so after 30 comes 35, then 40. Choice B (40, 45) skips ahead too far and misses 35. Choice C (32, 37) adds by 5 but starts from the wrong number. Choice D (30, 35) repeats a number already given instead of continuing forward.
Question 11
Count by 5s starting at 45. What comes after 60?
- 65 (correct answer)
- 60
- 55
- 61
Explanation: Counting by 5s, the number after 60 is 65, since each step adds 5. Choosing 60 repeats the starting number instead of moving to the next one in the pattern. Choosing 55 goes backward instead of forward in the counting sequence. Choosing 61 comes from counting by 1 instead of by 5.
Question 12
Continue the pattern counting by 100s: 250, 350, 450. What comes next?
- 460
- 550 (correct answer)
- 540
- 560
Explanation: Counting by 100s from 450 means adding exactly 100 each time, so the next number is 550. Getting 460 adds only 10 instead of 100. Getting 540 adds 90 instead of 100. Getting 560 adds 110 instead of 100. Checking that the jump is exactly 100 more each time confirms 550 is correct.
Question 13
What number does this pattern skip-count by: 30, 40, 50, 60?
- By 100s
- By 1s
- By 10s (correct answer)
- By 5s
Explanation: Each number in the pattern is 10 more than the last, so the pattern counts by 10s. Choice A, by 100s, is far too large a jump for this pattern. Choice B, by 1s, is far too small a jump. Choice D, by 5s, does not match the difference of 10 between each number.
Question 14
Tommy skip counts by 10s but makes one mistake in his list: 120,130,140,160,170. Which number should replace the incorrect number to fix his pattern?
- 145
- 165
- 155
- 150 (correct answer)
Explanation: When you see a skip counting problem, you need to identify the pattern and find where it breaks. Skip counting by 10s means adding 10 to each number to get the next one.
Let's check Tommy's pattern: 120,130,140,160,170. Starting with 120, add 10 to get 130 ✓. Add 10 to 130 to get 140 ✓. Now add 10 to 140 — this should give us 150, but Tommy wrote 160. That's the mistake! The correct sequence should be: 120,130,140,150,160,170.
Choice D (150) is correct because 140+10=150.
Choice A (145) is wrong because it's not a multiple of 10 from our starting point. When skip counting by 10s from 120, all numbers must end in 0.
Choice B (165) is incorrect because it would make the gap between 160 and 170 only 5, breaking the pattern of adding 10 each time.
Choice C (155) is wrong for the same reason as choice A — it doesn't follow the pattern of adding 10 to 140, and numbers ending in 5 don't appear when skip counting by 10s from a number ending in 0.
Remember: When checking skip counting patterns, add the skip number to each term to find the next one. If a number doesn't fit this pattern, that's your mistake to fix. Question 15
The number line shows Tia's counting. Which counting rule is she using?
- Skip-count by 5s
- Skip-count by 10s
- Skip-count by 50s
- Skip-count by 100s (correct answer)
Explanation: When you see a number line problem about skip-counting, your first job is to find the jump size — the distance between each tick mark Tia lands on. You do that by subtracting one number from the next number in the pattern.
Since Tia's jumps land on numbers that increase by 100 each time (for example, 100,200,300,400...), she's adding one hundred with every hop. That matches skip-counting by 100s, making D correct.
Here's why the others don't fit:
- A) Skip-count by 5s would produce tiny jumps like 5,10,15,20. The numbers on Tia's line grow much faster than that.
- B) Skip-count by 10s would give jumps like 10,20,30,40. Still too small for the spacing shown.
- C) Skip-count by 50s is closer, but the jumps would only be half as big — you'd see numbers like 50,100,150,200. Tia is skipping over these "in-between" numbers, so 50 is not her rule.
Study tip: To find a skip-counting rule, always subtract two neighboring numbers on the line: second number − first number = jump size. That difference is your rule. Also remember the common skip-counting families — 2s, 5s, 10s, 100s — because they show up again and again in place-value and money problems. Question 16
The number line shows Marco's jumps. He starts at 300 and makes 4 equal jumps of 100. Where does Marco land?
- 304
- 340
- 700 (correct answer)
- 1000
Explanation: When you see a problem about "equal jumps" on a number line, think of it as repeated addition (which is really just multiplication in disguise). Each jump adds the same amount, so you can either count up jump-by-jump or multiply the jump size by the number of jumps.
Marco starts at 300 and makes 4 jumps of 100 each. That means you add 100 four times: 300+100+100+100+100. Counting up: 300 → 400 → 500 → 600 → 700. You could also think of it as 4×100=400, then 300+400=700. So Marco lands on 700, which matches C.
Choice A (304) is the trap for students who add only the digit 4 (the number of jumps) to 300, forgetting that each jump is worth 100. Choice B (340) makes a similar mistake — it treats the 4 jumps as adding 40, as if each jump were only worth 10 instead of 100. Choice D (1000) adds one jump too many (5 jumps of 100 gives 300+500=800, but this answer likely comes from mistakenly doing 4×100+600 or just guessing a "nice round" big number).
Study tip: On number line jump problems, always ask two questions: How big is each jump? and How many jumps? Then multiply those together and add to the starting point. Writing the count out (300, 400, 500, 600, 700) helps you avoid place-value slip-ups. Question 17
The number line shows a skip-counting pattern. What number belongs in the empty box?
225,230,235,□,245
- 236
- 240 (correct answer)
- 250
- 260
Explanation: When you see a list of numbers like this, you're looking at a skip-counting pattern. Your first job is to figure out the "rule" — how much are you adding (or subtracting) each time to get from one number to the next?
Look at the jumps you can see: from 225 to 230 is +5, and from 230 to 235 is also +5. So the pattern is skip-counting by 5s. To find the missing number, add 5 to 235:
235+5=240
You can double-check by adding 5 more: 240+5=245 ✓ — that matches the next number in the list, so B) 240 is correct.
Now let's look at why the other choices are traps. A) 236 is what you'd get if you accidentally counted by 1s instead of 5s — a common slip when you're rushing. C) 250 skips ahead too far; that would be counting by 10s from 230, or adding 15 instead of 5. D) 260 jumps way past 245, which breaks the pattern entirely — if 260 came next, then 245 couldn't follow it.
Study tip: Whenever you fill in a blank in a number pattern, always check your answer by using it to predict the next number too. If your answer plus the pattern's rule doesn't match what comes after, you know something's off. This "check both sides" trick catches almost every skip-counting mistake. Question 18
Use the table to answer the question. Jorge skip-counts by 5s starting at 465. What is the fifth number he says?
- 480
- 485 (correct answer)
- 490
- 495
Explanation: Skip-counting means adding the same number over and over. When Jorge skip-counts by 5s starting at 465, the number 465 is the first number he says — not zero, and not 470. This is a common place where students get tripped up, so always count the starting number as #1.
Let's list them out carefully:
- 1st number: 465
- 2nd number: 470
- 3rd number: 475
- 4th number: 480
- 5th number: 485
So the fifth number Jorge says is 485, making B correct.
Choice A (480) is the fourth number he says — this is the trap for students who counted the starting number as "zero" or skipped counting 465 itself. Choice C (490) is the sixth number, which happens if you add 5 one extra time. Choice D (495) is the seventh number, the result of adding 5 six times instead of four.
A helpful strategy: when a question asks for the nth number in a skip-counting pattern, remember you only add the skip amount (n−1) times, not n times. For the 5th number, you add 5 four times: 465+5+5+5+5=485. Writing out the list with numbered labels (1st, 2nd, 3rd...) is the safest way to avoid off-by-one mistakes on these problems. Question 19
Counting backward by 10s, what number is missing: 90, 80, 70, ?, 50?
- 40
- 75
- 65
- 60 (correct answer)
Explanation: Counting backward by 10s from 90, the pattern goes 90, 80, 70, 60, 50, so the missing number is 60, making Choice D correct. Choice A is wrong because it skips past 60 to the next number in the pattern. Choice B is wrong because it does not fit a count-by-10 pattern. Choice C is wrong because it also does not fit the count-by-10 pattern.
Question 20
Starting at 60 and counting backward by 5s, what number comes immediately before 45?
- 50 (correct answer)
- 35
- 55
- 40
Explanation: Counting backward by 5s from 60 gives 60,55,50,45, so the number right before 45 is 50, making A correct. Choice B is the number that comes after 45, not before it. Choice C is two steps before 45 rather than the number immediately before it. Choice D also comes after 45 in the backward sequence, not before.