Choose the best answer for each of the 10 questions about times as many and bar models. Read each question carefully, then check the explanation to learn from any mistake.
Question 1 Which number is 5 times as many as 7?
A \(12\)B \(35\)C \(2\)D \(57\)5 times as many as 7 is 5 × 7 = 35. Adding 5 and 7 gives 12, which is not a times-as-many comparison.
Question 2 Which equation shows that 42 is 6 times as many as 7?
A \(42 = 6 + 7\)B \(42 = 7 \times 7\)C \(42 = 6 \times 7\)D \(6 = 42 \times 7\)"6 times as many as 7" means 6 × 7, and 6 × 7 = 42. Addition is for 'more than' comparisons.
Question 3 Which sentence is a multiplicative comparison?
A Ana has 3 more stickers than Ben.B Ana has 3 fewer stickers than Ben.C Ana has 3 times as many stickers as Ben.D Ana has 3 stickers and Ben has 4.'Times as many' tells you to multiply. 'More' and 'fewer' are additive comparisons.
Question 4 Ben 4 Mia 4 4 4 4 4 Ben has 4 books and Mia has 20 books. Mia has how many times as many books as Ben?
A 5B 16C 4D 24Mia's 20 books are made of five groups of 4, so she has 5 times as many. The number 16 is how many more books Mia has.
Question 5 Sam has 9 cards. Pia has 8 times as many cards as Sam. How many cards does Pia have?
A \(17\)B \(1\)C \(81\)D \(72\)8 times as many as 9 is 8 × 9 = 72. Adding gives 17.
Question 6 A game costs $63. A card costs $9. The game costs how many times as much as the card?
A 54B 7C 72D 8Divide: 63 ÷ 9 = 7. Subtracting gives 54, which is how many dollars more the game costs.
Question 7 Bush b Tree b b b b A tree is 28 feet tall and 4 times as tall as a bush. How tall is the bush?
A 7 feetB 24 feetC 32 feetD 112 feet28 = 4 × b, so b = 28 ÷ 4 = 7. Adding or multiplying the wrong way gives 32 or 112.
Question 8 Which sentence is an additive comparison?
A Ana has 6 times as many stickers as Ben.B Ana has twice as many stickers as Ben.C Ana has 3 times as many stickers as Ben.D Ana has 6 more stickers than Ben.'More than' is additive. Each other choice uses 'times as many', which is multiplicative.
Question 9 Priya has 12 pencils. Diego has 3 times as many pencils as Priya. How many more pencils does Diego have than Priya?
A \(36\)B \(24\)C \(15\)D \(4\)Diego has 3 × 12 = 36 pencils. Then 36 - 12 = 24 more. The number 36 is how many Diego has in all.
Question 10 Eli 5 Zoe 5 5 5 5 Max 5 5 5 5 +3 Eli has 5 books. Zoe has 4 times as many. Max has 3 more than Zoe. How many books does Max have?
A \(23\)B \(20\)C \(12\)D \(60\)Zoe has 4 × 5 = 20 books. Max has 3 more: 20 + 3 = 23. The number 20 is Zoe's amount.