All questions
Question 1
Carlos has 12 toy cars. Yuki has 3 times as many toy cars as Carlos. How many toy cars does Yuki have?
- 9 toy cars
- 15 toy cars
- 12 toy cars
- 36 toy cars (correct answer)
Explanation: Choice D is correct because Yuki has 3 times as many toy cars as Carlos, and 3 times 12 is 36. Choice A is incorrect because 9 is less than Carlos's own total, which does not match 3 times as many. Choice B is incorrect because it does not result from multiplying 12 by 3. Choice C is incorrect because it simply repeats Carlos's total instead of tripling it.
Question 2
Maya has 8 trading cards. Keisha has 4 times as many trading cards as Maya. How many trading cards does Keisha have?
- 32 trading cards (correct answer)
- 4 trading cards
- 12 trading cards
- 40 trading cards
Explanation: 32 trading cards is correct because 4×8=32. 4 trading cards is incorrect because it uses only one of the two given numbers. 12 trading cards is incorrect because it results from adding instead of multiplying (8+4=12). 40 trading cards is incorrect because it results from multiplying by 5 instead of 4. Question 3
Chen saved $48, which is 6 times as much as Amir saved. How much did Amir save?
- $8 (correct answer)
- $42
- $54
- $288
Explanation: This question tests 4th grade ability to multiply or divide to solve word problems involving multiplicative comparison, distinguishing multiplicative comparison from additive comparison (CCSS.4.OA.2). Multiplicative comparison uses 'times as many/much' language—'A is n times as many as B' means A = n × B, where A is the larger quantity (product), n is the multiplier (how many times), and B is the reference quantity (what's being multiplied). This is different from additive comparison ('A is n more than B' means A = B + n). To solve multiplicative comparisons: if finding the larger quantity (product), multiply; if finding how many times (multiplier) or the reference quantity, divide. This problem states Chen saved $48, which is 6 times as much as Amir saved, identifying $48 as the product, 6 as the multiplier, and asking for the reference quantity (Amir's savings), with the equation 48 = 6 × ? requiring division to solve. Choice A is correct because dividing the product by the multiplier, 48 ÷ 6 = 8, gives the reference quantity, demonstrating understanding of multiplicative comparison and choosing the correct operation. Choice C represents subtracting instead of dividing (48 - 6 = 42), which happens when students confuse the operations or misinterpret 'times as much' as an additive difference. To help students: Distinguish multiplicative from additive comparison—MULTIPLICATIVE: 'times as many/much' → multiply or divide; ADDITIVE: 'more than, less than' → add or subtract. For multiplicative problems, identify three parts: (1) Reference quantity, (2) Multiplier, (3) Product, then use Product = Multiplier × Reference, dividing product by multiplier if reference unknown; practice with bar models and language distinction to avoid confusing 'times as many' with 'more than.'
Question 4
A toy store has red, blue, and green bouncy balls. There are 48 red balls, which is 6 times as many as blue balls. The green balls number 3 times as many as blue balls. What is the total number of bouncy balls in the store?
- 56 total bouncy balls
- 72 total bouncy balls
- 80 total bouncy balls (correct answer)
- 104 total bouncy balls
Explanation: Blue balls: 48 ÷ 6 = 8 blue balls. Green balls: 8 × 3 = 24 green balls. Total: 48 + 8 + 24 = 80 balls. Choice A adds 48 + 8 only. Choice B adds 48 + 24 only. Choice D incorrectly calculates green balls as 48 + 8 = 56, then adds all incorrectly.
Question 5
A farmer has chickens and cows on his farm. He has 60 chickens, which is 5 times as many as the number of cows. Each cow produces 3 gallons of milk per day. If the farmer sells milk for $2 per gallon, how much money does he make from milk in one day?
- $36 from milk daily
- $72 from milk daily (correct answer)
- $120 from milk daily
- $360 from milk daily
Explanation: Number of cows: 60 ÷ 5 = 12 cows. Total milk: 12 × 3 = 36 gallons per day. Money earned: 36 × $2 = $72 per day. Choice A stops at the gallons amount. Choice C uses 60 × 2 incorrectly. Choice D uses 60 × 3 × 2 incorrectly.
Question 6
Keisha has 45 shells. This is 5 times as many shells as Maya has. How many shells does Maya have?
- 50 shells
- 5 shells
- 40 shells
- 9 shells (correct answer)
Explanation: 9 shells is correct because 45÷5=9. 50 shells is incorrect because it results from adding instead of dividing. 5 shells is incorrect because it matches the multiplier itself rather than the answer. 40 shells is incorrect because it results from subtracting instead of dividing. Question 7
Sofia has 8 stickers. Jamal has 5 times as many stickers as Sofia. How many stickers does Jamal have?
- 45 stickers
- 13 stickers
- 40 stickers (correct answer)
- 8 stickers
Explanation: Jamal has 40 stickers because "times as many" means multiplying: 8 × 5 = 40. Choice B adds 8 + 5 instead, treating "times as many" like "more than." Choice A adds 5 extra onto the correct product. Choice D repeats Sofia's total instead of finding Jamal's.
Question 8
Emma has 7 marbles. Marcus has 49 marbles. Marcus has how many times as many marbles as Emma? Use the equation 49=?×7.
- 56 times as many
- 7 times as many (correct answer)
- 9 times as many
- 42 times as many
Explanation: This question tests 4th grade ability to multiply or divide to solve word problems involving multiplicative comparison, distinguishing multiplicative comparison from additive comparison (CCSS.4.OA.2). Multiplicative comparison uses 'times as many/much' language—'A is n times as many as B' means A = n × B, where A is the larger quantity (product), n is the multiplier (how many times), and B is the reference quantity (what's being multiplied). This is different from additive comparison ('A is n more than B' means A = B + n). To solve multiplicative comparisons: if finding the larger quantity (product), multiply; if finding how many times (multiplier) or the reference quantity, divide. This problem states Emma has 7 marbles and Marcus has 49 marbles, asking how many times as many Marcus has as Emma, identifying 49 as the product, 7 as the reference quantity, and asking for the multiplier, with the equation 49 = ? × 7 requiring division to solve. Choice B is correct because dividing product by reference: 49 ÷ 7 = 7 times as many, which demonstrates understanding of multiplicative comparison and choosing the correct operation. Choice A represents multiplying instead of dividing (7 × 6 = 42, perhaps miscounting), which happens when students divide in the wrong direction or confuse operations. To help students: Distinguish multiplicative from additive comparison. MULTIPLICATIVE: 'times as many/much' → multiply or divide. ADDITIVE: 'more than, less than' → add or subtract. For multiplicative problems, identify three parts: (1) Reference quantity (being compared to), (2) Multiplier (how many times), (3) Product (result). Then: Product = Multiplier × Reference. If product unknown → multiply. If multiplier unknown → divide product by reference. If reference unknown → divide product by multiplier. Use bar models: draw small bar for reference, large bar for product (n times as long), label multiplier. Compare: '5 times as many as 7' = 5 × 7 = 35, but '5 more than 7' = 7 + 5 = 12 (very different!). Practice distinguishing language. Watch for: confusing 'times as many' with 'more than,' using addition when should multiply, dividing wrong direction, and not identifying which quantity is unknown.
Question 9
Marcus ran 28 laps, which is 7 times as many laps as Emma ran. How many laps did Emma run?
- 4 laps (correct answer)
- 21 laps
- 7 laps
- 35 laps
Explanation: Since Marcus ran 7 times as many laps as Emma, dividing his total by 7 gives Emma's laps: 28 / 7 = 4. Choice C (7 laps) mistakes the multiplier itself for the answer. Choices B (21) and D (35) come from subtracting or adding instead of dividing.
Question 10
Carlos has 10 toy cars. Yuki has 3 times as many toy cars as Carlos. How many toy cars does Yuki have?
- 13 toy cars
- 30 toy cars (correct answer)
- 7 toy cars
- 3 toy cars
Explanation: 30 toy cars is correct because 3×10=30. 13 toy cars is incorrect because it results from adding instead of multiplying. 7 toy cars is incorrect because it results from subtracting instead of multiplying. 3 toy cars is incorrect because it matches the multiplier itself rather than the answer. Question 11
Amir has 63 points in a game. Chen has 7 times as many points as Amir. How many points does Chen have?
- 9 points
- 441 points (correct answer)
- 70 points
- 56 points
Explanation: Chen has 7 times as many points as Amir, so 63 x 7 = 441 points. Choice A comes from dividing 63 by 7 instead of multiplying. Choice C is close to an estimate but does not reflect multiplying 63 by 7 correctly. Choice D reflects an incomplete multiplication rather than the full product.
Question 12
Jamal has 42 baseball cards. Sofia has 6 baseball cards. How many times as many baseball cards does Jamal have as Sofia?
- 48
- 36
- 7 (correct answer)
- 6
Explanation: The correct answer is C, 7, because 42 divided by 6 equals 7. Choice A, 48, comes from adding 42 and 6 instead of dividing. Choice B, 36, comes from subtracting 6 from 42 instead of dividing. Choice D, 6, simply restates Sofia's number of cards instead of comparing the two amounts.
Question 13
At a carnival, the Ferris wheel has 36 seats. This is 9 times as many seats as the bumper car ride. The roller coaster has 5 times as many seats as the bumper cars, but 12 of its seats are broken. How many working seats does the roller coaster have?
- 8 working roller coaster seats (correct answer)
- 15 working roller coaster seats
- 20 working roller coaster seats
- 32 working roller coaster seats
Explanation: The bumper cars have 36÷9=4 seats. The roller coaster has 5×4=20 seats, but 12 are broken, leaving 20−12=8 working seats. Choice B does not match any correct intermediate step. Choice C gives the roller coaster's total seats before subtracting the broken ones. Choice D uses an incorrect number of bumper car seats. Question 14
A bakery sold 144 muffins on Saturday. They sold 6 times as many muffins as cookies on Saturday. On Sunday, they sold 4 times as many cookies as they sold on Saturday. How many cookies did they sell on Sunday?
- 24 cookies on Sunday
- 36 cookies on Sunday
- 96 cookies on Sunday (correct answer)
- 576 cookies on Sunday
Explanation: Saturday's cookie total equals 144 muffins divided by 6, which is 24 cookies. Sunday's cookies are 4 times that amount: 4 x 24 = 96. Choice A (24) stops after finding Saturday's total and forgets to multiply by 4. Choice D (576) multiplies the muffin count instead of the cookie count. Choice B (36) doesn't match either step of the correct calculation.
Question 15
Jake collected 56 baseball cards last month. This month he collected 7 times as many cards as his friend Sam collected this month. If Jake collected the same number this month as last month, how many cards did Sam collect this month?
- 7 baseball cards this month
- 8 baseball cards this month (correct answer)
- 49 baseball cards this month
- 63 baseball cards this month
Explanation: Jake collected 56 cards this month too, and that equals 7 times what Sam collected. Dividing 56 by 7 gives 8 cards for Sam. Choice C (49) subtracts 7 from 56 instead of dividing. Choice D (63) adds 7 to 56 instead of dividing. Choice A (7) mistakes the multiplier itself for the answer.
Question 16
Sofia has 36 stickers. Jamal has 9 stickers. Sofia has how many times as many stickers as Jamal?
- 45 times as many
- 3 times as many
- 27 times as many
- 4 times as many (correct answer)
Explanation: 4 times as many is correct because 36÷9=4. 45 times as many is incorrect because it results from adding instead of dividing. 3 times as many is incorrect because it does not match the actual quotient. 27 times as many is incorrect because it results from subtracting instead of dividing (36−9=27). Question 17
A movie theater has 3 screens. Screen 1 has 120 seats. Screen 2 has 4 times as many seats as Screen 3. Screen 1 has 2 times as many seats as Screen 3. If all screens are completely full for a show, how many people are watching movies total?
- 300 people watching movies
- 360 people watching movies
- 480 people watching movies
- 420 people watching movies (correct answer)
Explanation: Since Screen 1 has 2 times as many seats as Screen 3, Screen 3 has 120 / 2 = 60 seats. Screen 2 has 4 times as many seats as Screen 3, or 4 x 60 = 240 seats. Adding all three screens gives 120 + 60 + 240 = 420 people. Choices A, B, and C come from mixing up which screen the multipliers apply to.
Question 18
Sofia read 32 pages, which is 4 times as many pages as Jamal read. How many pages did Jamal read?
- 4 pages
- 128 pages
- 28 pages
- 8 pages (correct answer)
Explanation: Since Sofia read 4 times as many pages as Jamal, 32÷4=8 pages is what Jamal read. Choice A is far too small. Choice B comes from multiplying instead of dividing (32×4). Choice C comes from subtracting instead of dividing (32−4). Question 19
Emma ran 27 laps, which is 3 times as many laps as Marcus ran. How many laps did Marcus run?
- 9 laps (correct answer)
- 3 laps
- 81 laps
- 24 laps
Explanation: The correct answer is A, 9 laps. Since Emma's 27 laps are 3 times as many as Marcus ran, dividing gives 27 divided by 3 equals 9. Choice B, 3 laps, comes from dividing by 9 instead of 3. Choice C, 81 laps, comes from multiplying 27 by 3 instead of dividing. Choice D, 24 laps, comes from subtracting 3 from 27 instead of dividing.
Question 20
Emma ran 27 laps. Marcus ran 9 laps. Emma ran how many times as many laps as Marcus?
- 18
- 3 (correct answer)
- 36
- 2
Explanation: Dividing Emma's laps by Marcus's laps gives 27 divided by 9, which equals 3, so Emma ran 3 times as many laps. Choice A reflects a subtraction-based comparison rather than division. Choice C reflects a multiplication error rather than division. Choice D is close but does not match the exact quotient of 27 divided by 9.