Problem Solving Using Model Drawing 2013
Problem Solving Using Model Drawing Edition 2013
Based on latest MOE Primary Mathematics Syllabus
Step-by-Step Example
Ample questions to drill on
More FREE online resource at MathsExCEL.com
Name : School : Level :
Pustaka Abdul Hafidz Attamimi © Problem Solving Using Model Drawing
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Problem Solving Using Model Drawing 2013 Your Achievement Record
Made easy for teacher, parents or tutor to take necessary action for immediate follow up for the student concern.
After the student has done the exercises and tested by teacher, please fill up the schedule below.
UNIT 1
TOPIC
MARKS
REMARK
FOLLOW UP ACTION
FUNDAMENTAL MENTAL STRATEGY
WHOLE NUMBERS 2
REVISION TEST 1 REVISION TEST 2 FACTIONS
3
REVISION TEST 3 REVISION TEST 4 FACTIONS
4 REVISION TEST 5 DECIMALS 5
REVISION TEST 6 AREA AND PERIMETER 6
REVISION TEST 7 CHALLENGING PROBLEMS 7
REVISION TEST 8
8
FUNDAMENTAL PROBLEM SOLVING STRATEGIES REVISION TEST 9
9
TABLES AND LINE GRAPHS
10
SYMMETRY
11
NON ROUTINE PROBLEMS AND THINKING SKILLS
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Problem Solving Using Model Drawing 2013
CONTENT UNIT 1 STRATEGY 1
FUNDAMENTAL MENTAL STRATEGY FORMING TENS IN ADDITION STRATEGY EXERCISE 1 - 2 ......................................................................
STRATEGY 2
PAY MORE THAN GET BACK LATER STRATEGY EXERCISE 3 - 4 ......................................................................
STRATEGY 3
ADD MORE THAN RETURN STRATEGY EXERCISE 5 - 6 ......................................................................
UNIT 2
WHOLE NUMBERS PRACTICE STEP BY STEP 1 - 5 .......................................... REVIEW 1 ............................................................................ PRACTICE STEP BY STEP 6 - 10 ........................................ REVIEW 2 ............................................................................ REVISION TEST 1 .................................................................. PRACTICE STEP BY STEP 11 - 15 ........................................ REVIEW 3 ............................................................................ PRACTICE STEP BY STEP 16 - 20 ........................................ REVIEW 4 ............................................................................ REVISION TEST 2 ..................................................................
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Problem Solving Using Model Drawing 2013 UNIT 3
FACTIONS PRACTICE STEP BY STEP 21 - 25 ...................................... REVIEW 5 ............................................................................ PRACTICE STEP BY STEP 26 - 30 ...................................... REVIEW 6 ............................................................................ REVISION TEST 3 .................................................................. PRACTICE STEP BY STEP 31 - 35 ...................................... REVIEW 7 ............................................................................ PRACTICE STEP BY STEP 36 - 40 ...................................... REVIEW 8 ............................................................................ REVISION TEST 4 ..................................................................
UNIT 4
FACTIONS PRACTICE STEP BY STEP 41 - 45 ...................................... REVIEW 9 ............................................................................ PRACTICE STEP BY STEP 46 - 50 ...................................... REVIEW 10 .......................................................................... REVISION TEST 5 ..................................................................
UNIT 5
DECIMALS PRACTICE STEP BY STEP 51 - 55 ...................................... REVIEW 11 .......................................................................... PRACTICE STEP BY STEP 56 - 60 ...................................... REVIEW 12 .......................................................................... REVISION TEST 6 ..................................................................
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Problem Solving Using Model Drawing 2013 UNIT 6
AREA AND PERIMETER PRACTICE STEP BY STEP 61 - 65 ...................................... REVIEW 13 .......................................................................... REVISION TEST 7 ..................................................................
UNIT 7
CHALLENGING PROBLEMS PRACTICE STEP BY STEP 66 - 70 ...................................... REVIEW 14 .......................................................................... REVISION TEST 8 ..................................................................
UNIT 8
FUNDAMENTAL PROBLEM SOLVING STRATEGIES PRACTICE STEP BY STEP 71 - 75 ...................................... REVIEW 15 .......................................................................... PRACTICE STEP BY STEP 76 - 80 ...................................... REVIEW 16 .......................................................................... REVISION TEST 9 ..................................................................
UNIT 9
TABLES AND LINE GRAPHS EXERCISE 1 - 5 ..........................................................................
UNIT 10
SYMMETRY EXERCISE 1 - 4 ..........................................................................
UNIT 11
NON ROUTINE PROBLEMS AND THINKING SKILLS EXERCISE 1 - 4 ..........................................................................
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Problem Solving Using Model Drawing 2013 UNIT 1 - FUNDAMENTAL MENTAL STRATEGIES STRATEGY 1:
Forming Tens in Addition Strategy
Example 1
Example 3
Example 2
14 + 18 + 36 + 12
52 - 27 + 18
36 + 19 + 14 =
50 + 19
=
70 - 27
=
50 + 30
=
69
=
43
=
80
EXERCISE 1 Find the following sums by forming tens first. Show your intermediate working clearly. 1)
12 + 19 + 28
2) 27 - 39 + 23
3)
56 + 87 + 44
4) 195 - 229 + 55
5)
32 + 97 + 18 + 13
6) 47 - 98 + 113
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Problem Solving Using Model Drawing 2013 EXERCISE 2 Find the following sums mentally by forming tens.
1)
16 + 39 + 14
2) 36 - 49 + 24
3)
12 + 19 + 28 + 41
4) 32 - 57 + 38
5)
45 + 38 + 15
6) 72 - 88 + 28
7)
175 - 57 + 25
8) 88 + 95 + 12
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Problem Solving Using Model Drawing 2013 STRATEGY 2:
Pay More then Get Back Later Strategy
Example 1
Example 2
95 - 38 = ( 95 - 40 ) + 2 = 55 + 2 = 57
305 - 97 = ( 305 - 100 ) + 3 = 205 + 3 = 208
EXERICE 3 Use the Pay More than Get Back Later Strategy to find the following differences. Show your intermediate working clearly. (1) 82 - 49
(2) 56 - 27
(3) 125 - 89
(4) 71 - 37
(5) 253 - 98
(6) 101 - 76
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Problem Solving Using Model Drawing 2013 EXERICE 4 Find the following differences mentally. (1) 152 - 25
(2) 87 - 69
(3) 73 - 47
(4) 58 - 39
(5) 253 - 98
(6) 101 - 76
(7) 86 - 58
(8) 235 - 128
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Problem Solving Using Model Drawing 2013 STRATEGY 3:
Add More then Return Strategy
Example 1
Example 2
Example 3
86 + 97 = ( 86 + 100 ) + 3 = 186 - 3 = 183
58 + 73 = ( 60 + 73 ) - 2 = 133 - 2 = 131
397 + 69 = ( 400 + 69 ) - 3 = 469 - 3 = 466
EXERICE 5 Use the Add More then Return Strategy to find the following sums. Show all your intermediate working clearly. (1) 76 + 59
(2) 87 + 78
(3) 36 + 98
(4) 297 + 85
(5) 359 + 36
(6) 496 + 58
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Problem Solving Using Model Drawing 2013 EXERICE 6 Use the mental strategy you have learnt to find the following sums mentally. (1) 54 + 78
(2) 68 + 35
(3) 396 + 89
(4) 335 + 87
(5) 89 + 54
(6) 94 + 78
(7) 297 + 84
(8) 698 + 117
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Problem Solving Using Model Drawing 2013 UNIT 2 - WHOLE NUMBERS PRACTICE STEP BY STEP 1
Example There are 3485 boys in a school. The number of girls in the school is 58 more than the number of boys. What is the enrolment of the school?
Solution Boys
3485
? Girls
58
3485 + 58 = 3543 There are 3543 girls
3485 + 3543 = 7028 The enrolment of the school is 7028.
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Problem Solving Using Model Drawing 2013 QUESTION 1 Karen has 2837 local stamps. She has 985 more foreign stamps than local stamps. How many stamps does she have altogether?
QUESTION 2 A salesman earned $2,325 in January. He earned $725 more in February. How much did he earns altogether in the 2 months?
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Problem Solving Using Model Drawing 2013 QUESTION 3 Mrs Wu bought a television set which cost $987. She bought a piano which cost $3298 more. How much did she spend altogether?
QUESTION 4 The mass of an elephant is 298 kg. A lion weighs 59 kg more than the elephant. Find the total mass of the two animals.
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Problem Solving Using Model Drawing 2013 PRACTICE STEP BY STEP 2
Example At a park, there are 96 girls. There are 724 more boys than girls. How many children are there at the park?
Solution
Girls
96 724
Boys
?
( 96 X 2 ) + 724 =
192 + 724
=
916
There are 916 children altogether.
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Problem Solving Using Model Drawing 2013 QUESTION 1 Linda has 57 local stamps. She has 95 more foreign stamps than local stamps. How many stamps has she altogether?
QUESTION 2 Paul has 86 Chinese storybooks. He has 74 more English storybooks than Chinese storybooks. How many storybooks has he altogether?
QUESTION 3 There are 890 girls in a school. There are 985 more boys than girls. What is the enrolment of the school?
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Problem Solving Using Model Drawing 2013 QUESTION 4 In a forest, there are 720 species of flowering plants. There are 2975 more species of non-flowering plants than flowering plants. How many different species of plants are there in the forest?
QUESTION 5 Zainal has $870. Ali has $7250 more than Zainal. How much money have they altogether?
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Problem Solving Using Model Drawing 2013 PRACTICE STEP BY STEP 3
Example There are 1484 apples at a fruit stall. There are 227 more apples than pears at the stall. How many apples and pears are there altogether?
Solution 1484
Apples
227
? Pears
1484 - 227 = 1257 There are 1257 pears.
1484 + 1257 = 2741 There are 2741 apples and pears altogether.
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Problem Solving Using Model Drawing 2013 QUESTION 1 Ken travelled 287 km on Sunday. He travelled 98 km less on Monday than on Sunday. How far did he travel on the 2 days?
QUESTION 2 1487 of the pupils in a school are girls. There are 799 more girls than boys. What is the enrolment of the school?
QUESTION 3 2237 of the people in an indoor stadium are males. There are 729 fewer females than males. How many people are there in the indoor stadium altogether?
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Problem Solving Using Model Drawing 2013 QUESTION 4 A farmer has 3027 chickens. He has 2388 fewer ducks than chickens. How many chickens and ducks does he have altogether?
QUESTION 5 Linda spent $7832 on a tour. She spent $3985 more than Tom. How much did they spend altogether?
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Problem Solving Using Model Drawing 2013 PRACTICE STEP BY STEP 4
Example
Felix has a total of 4920 stamps. He has 780 more local stamps than foreign stamps. How many foreign stamps does he have?
Solution Local
780
4920 Foreign ?
( 4920 - 780 ) รท 2
=
4140 รท 2
=
2070
Felix has 2070 foreign stamps.
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Problem Solving Using Model Drawing 2013 QUESTION 1 On a farm, there are total of 5960 chickens and ducks. There are 798 more ducks than chickens. How many chickens are there on the farm?
QUESTION 2 The enrolment of a school is 1095. There are 237 more girls than boys. How many boys are there in the school?
QUESTION 3 At a fruit stall, there are a total of 1246 apples and pears. There number of pears is 98 fewer than the number of apples. How many pears are there at the stall?
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Problem Solving Using Model Drawing 2013 QUESTION 4 In a theatre, there are a total of 2800 people. There are 726 more males than females. How many females are there at the theatre?
QUESTION 5* Clifford has a total of 74 notes. They are either $2-notes or $5-notes. He has 16 more pieces of $5-notes than $2-notes. a) How many pieces of $2-notes does he have? b) Find the total value of all his notes.
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Problem Solving Using Model Drawing 2013 PRACTICE STEP BY STEP 5
Example The total height of Hill A and Hill B is 3813 m. Hill B is 987 m lower than Hill A. Find the height of Hill A.
Solution ? A
987 m
3813 m B
( 3813 + 987 ) รท 2
=
4800 รท 2
=
2400
The height of Hill A is 2400 m
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Problem Solving Using Model Drawing 2013 QUESTION 1 The total cost of a blouse and a skirt is $295. How skirts costs $89 more than the blouse. Find the cost of the skirt.
QUESTION 2 In a city, there are a total of 9375 cars and buses. The number of cars is 2387 more than the number of buses. How many cars are there?
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Problem Solving Using Model Drawing 2013 QUESTION 3 A total of 7813 candidates sat for an examination. The number of failures is 1389 fewer than the number of passes. How many candidates passed their examination?
QUESTION 4 There are a total of 3265 girls in a town. The number of girls who keep long hair is 2377 fewer than the number of girls who keep short hair. How many girls in the town keep their hair short?
QUESTION 5 The total cost of a tie and a coat is $327. The coat costs $299 more than the tie. Find the total cost of 2 coats.
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Problem Solving Using Model Drawing 2013 REVIEW 1 QUESTION 1 985 participants in a 5 km cross-country race are females. The number of male participants is 1297 more than the number of female participants. How many participants are there altogether?
QUESTION 2 The enrolment of School A is 4796. The enrolment of School B is 2907 fewer than that of School A. Find the total enrolment of the two schools.
QUESTION 3 At a zoo, 728 of the animals can fly. The number of animals which cannot fly is 2986 more than those which can fly. find the total number of animals at the zoo.
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Problem Solving Using Model Drawing 2013 QUESTION 4 Carol has a total of 2875 pieces of 20-cents coins and 50-cents coins. She has 793 more 20-cents coins than 50-cents coins. How many 50-cents coins does she have?
QUESTION 5 At a park, there is total of 1325 people. There are 327 more children than adults. How many adults are there at the park?
QUESTION 6 There are 4283 residents staying in Block A. The number of residents in Block A is 1297 more than the number of residents in Block B. How many residents are there in the 2 blocks altogether?
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