Name: Model Drawing: More Than/Less Than Question 1. WHOLE NUMBERS Sharon and Josh had some sweets at first. Sharon had 10 sweets more than Josh. After Josh ate 4 of his sweets, Sharon had thrice as many sweets as Josh. How many sweets did Sharon have at first? Question 2. David had 36 less stamps than Ali. After David gave away 14 stamps, Ali had 3 times as many stamps as him. How many stamps did David have at first? 1 P a g e
Question 3. A number of students were separated into two groups for a run. Group A had 23 more students than Group B. After 6 students from Group B had finished the run and left for home, there were twice as many students in Group A than in Group B. How many students were there at first? Question 4. Jenny had 17 more red marbles than blue marbles in a bag. After she removed 6 blue marbles from the bag, the number of red marbles was twice the number of blue marbles. How many marbles did she have at first? 2 P a g e
Question 5. Luke had a bag containing a number of red and blue marbles. There were 29 more red marbles than blue marbles. After putting in 11 more red marbles and taking out 12 blue marbles, he had thrice as many red marbles as blue marbles. How many red marbles did he have at first? Question 6. Ahmad, Sandra and Glen had some jellybeans. Ahmad had 34 more jellybeans than Sandra. Sandra had 43 more jellybeans than Glen. After Glen ate 7 jellybeans, Ahmad had three times as many jellybeans as Glen. How many jellybeans did Ahmad had? 3 P a g e
Question 7. There were three bags of clips. Bag A contained 22 more clips than Bag B. Bag B contained 18 more clips than Bag C. After 12 clips were removed from Bag C, there were twice as many clips in Bag A than in Bag C. How many clips were there in Bag C at first? Question 8. A bag of ice cream sticks were shared among John, Kate and Pan. John were given 16 more sticks than Kate and 21 more sticks than Pan. When Pan lost 13 of her ice cream sticks, John had thrice as many ice cream sticks as Pan. How many ice cream sticks were in the bag initially? 4 P a g e
Question 9. There were some students in Class A, B and C. Class A had 20 more students than Class B. Class B had 10 more students than Class C. When 15 students left Class C, there were 2 times as many students in Class A than in Class C. How many students did Class C have at first? Question 10. John s father is 26 years older than John. 5 years ago, his father was twice his age. How old is John s father now? WHOLE NUMBERS 5 P a g e
Model Drawing: More Than/Less Than Solutions Question 1. 3 units Sharon 1 unit 4 10 Josh 1 unit 4 Therefore 4 + 10 = 14 1 unit 14 2 = 7 Number of sweets Sharon had at first 1 unit + 4 + 10 7 + 14 = 21 (Ans) Question 2. 3 units Ali 1 unit 14 36 David 1 unit 14 Therefore 14 + 36 = 50 1 unit 50 2 = 25 Number of stamps David had at first 1 unit + 14 25 + 14 = 39 (Ans) 6 P a g e
Question 3. Group A 1 unit 6 23 Group B 1 unit 6 1 unit Therefore 1 unit 6 + 23 = 29 Total number of students 1 unit + 1 unit + 6 + 6 + 23 29 + 29 + 35 = 93 (Ans) Question 4. Red 1 unit 6 17 Blue 1 unit 6 1 unit Therefore 1 unit 6 + 17 = 23 Total number of marbles 1 unit + 1 unit + 6 + 6 + 17 23 + 23 + 29 = 75 (Ans) 7 P a g e
Question 5. Red 1 unit 12 29 11 Blue 1 unit 12 3 units Therefore 12 + 29 + 11 = 52 1 unit 52 2 = 26 Number of red marbles at first 1 unit + 12 + 29 26 + 41 = 67 (Ans) Question 6. 3 units Ahmad 1 unit 7 43 34 Sandra 1 unit 7 43 Glen 1 unit 7 Therefore 7 + 43 + 34 = 84 1 unit 84 2 = 42 Number of jellybeans Ahmad had at first 3 units 42 x 3 = 126 (Ans) 8 P a g e
Question 7. Bag A 1 unit 12 18 22 Bag B 1 unit 12 18 Bag C 1 unit 12 1 unit Therefore 1 unit 12 + 18 + 22 = 52 Number of clips in bag C at first 1 unit + 12 52 + 12 = 64 (Ans) Question 8. 3 units John 1 unit 13 5 16 Kate 1 unit 13 5 Pan 1 unit 13 Therefore 13 + 5 +16 = 34 1 unit 34 2 = 17 Number of ice cream sticks in total at first 3 units + (13x3) + (5x2) + 16 51 + 65 = 116 (Ans) 9 P a g e
Question 9. Class A 1 unit 15 10 20 Class B 1 unit 15 10 Class C 1 unit 15 1 unit Therefore 1 unit 10 + 20 + 15 = 45 Number of students in class C at first 1 unit + 15 45 + 15 = 60 (Ans) Question 10. John s father 1 unit 5 21 5 John 1 unit 5 1 unit Therefore 1 unit 21 + 5 = 26 John s father age now 1 unit + 5 + 21 + 5 26 + 31 = 57 (Ans) 10 P a g e