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Name:________________________ Class:_______ Date:________ Scroll: Heuristics & Question Types >> Model Approach >> ps (3465) Written Instructions: For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided.. For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided. Leave your answers in the simplest form or correct to two decimal places.
1) Barry and Crystal had an equal number of marbles. After Barry sold 12 marbles and Crystal bought another 40 marbles, Crystal had 5 times as many marbles as Barry. Find the number of marbles each of them had at first.
Answer:_______________
2) Elbert and Alice had an equal number of flowers. After Elbert gave 18 flowers away and Alice bought another 75 flowers, Alice had 4 times as many flowers as Elbert. Find the number of flowers each of them had at first.
Answer:_______________
3) Harry and Jill had an equal number of sweets. After Harry ate 12 sweets and Jill
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bought another 20 sweets, Jill had thrice as many sweets as Harry. Find the number of sweets each of them had at first.
Answer:_______________
4) Siti and Henry had an equal number of pencils. After Siti sold 14 pencils and Henry bought 45 pencils, Henry had twice as many pencils as Siti. Find the number of pencils each of them had at first.
Answer:_______________
5) Harry and Doria had an equal number of marbles. After Harry sold 24 marbles and Doria bought another 72 marbles, Doria had 5 times as many marbles as Harry. Find the number of marbles each of them had at first.
Answer:_______________
6) Kelvin and Alice had an equal number of flowers. After Kelvin gave 18 flowers away and Alice bought another 78 flowers, Alice had 4 times as many flowers as Kelvin. Find the number of flowers each of them had at first.
Answer:_______________
7) Harry and Crystal had an equal number of sweets. After Harry ate 14 sweets and Crystal bought another 22 sweets, Crystal had thrice as many sweets as Harry. Find the number of sweets each of them had at first.
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Answer:_______________
8) Tsha and Dave had an equal number of pencils. After Tsha sold 14 pencils and Dave bought 33 pencils, Dave had twice as many pencils as Tsha. Find the number of pencils each of them had at first.
Answer:_______________
9) Don and Athena had an equal number of marbles. After Don sold 28 marbles and Athena bought another 60 marbles, Athena had 5 times as many marbles as Don. Find the number of marbles each of them had at first.
Answer:_______________
10) Ahmad and Angie had an equal number of flowers. After Ahmad gave 12 flowers away and Angie bought another 45 flowers, Angie had 4 times as many flowers as Ahmad. Find the number of flowers each of them had at first.
Answer:_______________
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1) Barry and Crystal had an equal number of marbles. After Barry sold 12 marbles and Crystal bought another 40 marbles, Crystal had 5 times as many marbles as Barry. Find the number of marbles each of them had at first. Answer : 25 SOLUTION 1 :
- 40 (Bought)
Crystal
Barry
+ 12 (sold)
?
Step 1: 4 units = 12 + 40 = 52 1 unit = 52 ÷ 4 = 13 Step 2: 13 + 12 = 25 Each of them had 25 marbles at first.
2) Elbert and Alice had an equal number of flowers. After Elbert gave 18 flowers away and Alice bought another 75 flowers, Alice had 4 times as many flowers as Elbert. Find the number of flowers each of them had at first. Answer : 49 SOLUTION 1 :
- 75 (Bought)
Alice
Elbert
?
+ 18 (gave)
Step 1: 3 units = 18 + 75
http://www.kungfu-math.com/worksheets/grade5-heuristics-questions.html[26/1/2015 5:57:48 PM]
= 93 1 unit = 93 ÷ 3 = 31 Step 2: 31 + 18 = 49 Each of them had 49 flowers at first.
3) Harry and Jill had an equal number of sweets. After Harry ate 12 sweets and Jill bought another 20 sweets, Jill had thrice as many sweets as Harry. Find the number of sweets each of them had at first. Answer : 28 SOLUTION 1 :
- 20 (Bought)
Jill
Harry
+ 12 (ate)
?
Step 1: 2 units = 12 + 20 = 32 1 unit = 32 ÷ 2 = 16 Step 2: 16 + 12 = 28 Each of them had 28 sweets at first.
4) Siti and Henry had an equal number of pencils. After Siti sold 14 pencils and Henry bought 45 pencils, Henry had twice as many pencils as Siti. Find the number of pencils each of them had at first. Answer : 73 SOLUTION 1 :
- 45 (Bought)
Henry
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Siti
+ 14 (sold)
?
Step 1: 1 unit = 14 + 45 = 59 Step 2: 59 + 14 = 73 Each of them had 73 pencils at first.
5) Harry and Doria had an equal number of marbles. After Harry sold 24 marbles and Doria bought another 72 marbles, Doria had 5 times as many marbles as Harry. Find the number of marbles each of them had at first. Answer : 48 SOLUTION 1 :
- 72 (Bought)
Doria
Harry
+ 24 (sold) ?
Step 1: 4 units = 24 + 72 = 96 1 unit = 96 ÷ 4 = 24 Step 2: 24 + 24 = 48 Each of them had 48 marbles at first.
6) Kelvin and Alice had an equal number of flowers. After Kelvin gave 18 flowers away and Alice bought another 78 flowers, Alice had 4 times as many flowers as Kelvin.
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Find the number of flowers each of them had at first. Answer : 50 SOLUTION 1 :
- 78 (Bought)
Alice
Kelvin
+ 18 (gave)
?
Step 1: 3 units = 18 + 78 = 96 1 unit = 96 ÷ 3 = 32 Step 2: 32 + 18 = 50 Each of them had 50 flowers at first.
7) Harry and Crystal had an equal number of sweets. After Harry ate 14 sweets and Crystal bought another 22 sweets, Crystal had thrice as many sweets as Harry. Find the number of sweets each of them had at first. Answer : 32 SOLUTION 1 :
- 22 (Bought)
Crystal
Harry
?
+ 14 (ate)
Step 1: 2 units = 14 + 22 = 36 1 unit = 36 ÷ 2 = 18 Step 2: 18 + 14 = 32
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Each of them had 32 sweets at first.
8) Tsha and Dave had an equal number of pencils. After Tsha sold 14 pencils and Dave bought 33 pencils, Dave had twice as many pencils as Tsha. Find the number of pencils each of them had at first. Answer : 61 SOLUTION 1 :
- 33 (Bought)
Dave
Tsha
+ 14 (sold)
?
Step 1: 1 unit = 14 + 33 = 47 Step 2: 47 + 14 = 61 Each of them had 61 pencils at first.
9) Don and Athena had an equal number of marbles. After Don sold 28 marbles and Athena bought another 60 marbles, Athena had 5 times as many marbles as Don. Find the number of marbles each of them had at first. Answer : 50 SOLUTION 1 :
- 60 (Bought)
Athena
Don
+ 28 (sold)
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?
Step 1: 4 units = 28 + 60 = 88 1 unit = 88 ÷ 4 = 22 Step 2: 22 + 28 = 50 Each of them had 50 marbles at first.
10) Ahmad and Angie had an equal number of flowers. After Ahmad gave 12 flowers away and Angie bought another 45 flowers, Angie had 4 times as many flowers as Ahmad. Find the number of flowers each of them had at first. Answer : 31 SOLUTION 1 :
- 45 (Bought)
Angie
Ahmad
+ 12 (gave)
?
Step 1: 3 units = 12 + 45 = 57 1 unit = 57 ÷ 3 = 19 Step 2: 19 + 12 = 31 Each of them had 31 flowers at first.
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