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
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Pustaka Abdul Hafidz Attamimi © Problem Solving Using Model Drawing
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Problem Solving Using Model Drawing 2013
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UNIT
TOPIC
CHAPTER 1
MARKS
REMARK
FOLLOW UP ACTION
WHOLE NUMBERS
NUMBERS UP TO 10 000 1.1
REVISION 1 REVISION 2 ADDITION AND SUBTRACTION
1.2
REVISION 3 REVISION 4 MULTIPLICATION AND DIVISION
1.3 REVISION 5 CHAPTER 2 2.1
FUNDAMENTAL MENTAL STRATEGY
FORMING TENS IN ADDITION STRATEGY EXERCISE 1 - 2 FORMING SUBTRACTIONS
2.2 EXERCISE 3 - 4
2.3
FORMING MULTIPLICATION & DIVISION STRATEGY EXERCISE 5 - 6
CHAPTER 3
FRACTIONS
EQUIVALENT FRACTIONS 3.1 REVISION TEST 6 & 7 ADDITION AND SUBTRACTION 3.2 REVISION TEST 8 & 9
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Problem Solving Using Model Drawing 2013 UNIT
TOPIC
CHAPTER 4
MARKS
REMARK
FOLLOW UP ACTION
MEASUREMENT
LENGTH, MASS AND VOLUME 4.1
REVISION 10 REVISION 11
CHAPTER 5
TIME
TIME 5.1
REVISION 12 REVISION 13
CHAPTER 6
MONEY
MONEY 6.1
REVISION 14 REVISION 15
CHAPTER 7
AREA AND PERIMETER
AREA AND PERIMETER 7.1
REVISION 16 REVISION 17
CHAPTER 8
GEOMETRY
PERPENDICULAR AND PARALLEL LINES 8.1
REVISION 18 REVISION 19 ANGLES
8.2
EXERCISE 1 - 5
CHAPTER 9 9.1
DATA ANALYSIS
BAR GRAPHS EXERCISE 1 - 5
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Problem Solving Using Model Drawing 2013
CONTENT UNIT 1
WHOLE NUMBERS NUMBERS UP TO 10 000 PRACTICE STEP BY STEP 1 - 5 .......................................... REVIEW 1 ............................................................................ REVIEW 2 ............................................................................ ADDITION AND SUBSTRACTION PRACTICE STEP BY STEP 6 - 10 ........................................ REVIEW 3 ............................................................................ REVIEW 4 ............................................................................ REVISION TEST 1 .................................................................. MULTIPLICATION AND DIVISION PRACTICE STEP BY STEP 11 - 15 ........................................ REVIEW 5 ............................................................................ REVISION TEST 2 ..................................................................
UNIT 2 STRATEGY 1
FUNDAMENTAL MENTAL STRATEGY FORMING ADDITION STRATEGY INVOLVING TWO 2-DIGIT NUMBERS EXERCISE 1 - 2 ......................................................................
STRATEGY 2
FORMING SUBTRACTION STRATEGY INVOLVING TWO 2-DIGIT NUMBERS EXERCISE 3 - 4 ......................................................................
STRATEGY 3
MULTIPLICATION AND DIVISION STRATEGY EXERCISE 5 - 6 ......................................................................
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Problem Solving Using Model Drawing 2013 UNIT 3
FACTIONS EQUIVALENT FRACTIONS PRACTICE STEP BY STEP 21 - 25 ...................................... REVIEW 6 ............................................................................ PRACTICE STEP BY STEP 26 - 30 ...................................... REVIEW 7 ............................................................................ REVISION TEST 3 .................................................................. ADDITION AND SUBTRACTION PRACTICE STEP BY STEP 31 - 35 ...................................... REVIEW 8 ............................................................................ PRACTICE STEP BY STEP 36 - 40 ...................................... REVIEW 9 ............................................................................ REVISION TEST 4 ..................................................................
UNIT 4
MEASUREMENT PRACTICE STEP BY STEP 41 - 45 ...................................... REVIEW 10 ............................................................................ PRACTICE STEP BY STEP 46 - 50 ...................................... REVIEW 11 .......................................................................... REVISION TEST 5 ..................................................................
UNIT 5
TIME PRACTICE STEP BY STEP 51 - 55 ...................................... REVIEW 12 .......................................................................... PRACTICE STEP BY STEP 56 - 60 ...................................... REVIEW 13 .......................................................................... REVISION TEST 6 ..................................................................
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Problem Solving Using Model Drawing 2013 UNIT 6
MONEY PRACTICE STEP BY STEP 61 - 65 ...................................... REVIEW 14 .......................................................................... REVIEW 15 .......................................................................... REVISION TEST 7 ..................................................................
UNIT 7
AREA AND PERIMETER PRACTICE STEP BY STEP 66 - 70 ...................................... REVIEW 16 .......................................................................... REVIEW 17 .......................................................................... REVISION TEST 8 ..................................................................
UNIT 8
GEOMENTARY PRACTICE STEP BY STEP 71 - 75 ...................................... REVIEW 18 .......................................................................... PRACTICE STEP BY STEP 76 - 80 ...................................... REVIEW 19 .......................................................................... REVISION TEST 9 ..................................................................
UNIT 9
ANGLES EXERCISE 1 - 5 ..........................................................................
UNIT 10
BAR GRAPHS EXERCISE 1 - 5 ..........................................................................
UNIT 11
NON ROUTINE PROBLEMS AND THINKING SKILLS EXERCISE 1 - 4 ..........................................................................
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Problem Solving Using Model Drawing 2013 UNIT 1 - WHOLE NUMBERS PRACTICE 1.1
A.
Write the correct numbers.
1.
One thousand one hundred and eighty-seven = ____________
2.
Six thousands four hundreds one ten = ____________
3.
Three thousand nine hundred and three = ____________
4.
Five thousands seven tens six ones = ____________
B.
Write in thousands, hundreds, tens and ones.
1.
8609 is ______________________________________________
2.
4527 is ______________________________________________
3.
6030 is ______________________________________________
C.
Fill in the missing numbers.
1.
2000 + 500 + 30 + 8 = ____________
2.
5000 + ____________ + 3 = 5803
3.
3000 + 300 + 70 + 4 = 3300 + ____________
4.
7000 + ____________ = 7900
5.
1852 = One thousand + _____ hundreds + _____ tens + two ones
6.
6000 + 40 = 7040 - ____________
7.
3200 = ____________ - 200
8.
4037 = _____ thousands + _____ hundreds + _____ tens + 7 ones
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Problem Solving Using Model Drawing 2013 D.
Circle the largest number.
1.
3123 , 3213 , 3013 , 3223
2.
4022 , 5022 , 5011 , 4122
3.
9099 , 9909 , 9009 , 9990
E.
Arrange the numbers in ascending order.
1.
964 , 4952 , 4981 , 2450
2.
7567 , 7657 , 6757 , 5677
3.
1325 , 999 , 1022 , 896
F.
Complete the number patterns.
1.
845 , 855 , ____________ , 875
2.
1010 , ___________ , 1210 , 1310
3.
4899 , 5899 , 6899 , ____________
4.
235 , ____________ , 245 , 250
5.
____________ , 2150 , 3150 , 4150
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Problem Solving Using Model Drawing 2013 PRACTICE 1.2 Solve the following exercises mentally. 1.
[
] - 18 = 9
2.
[
] - 13 = 8
3.
[
] - 15 = 15
4.
[
] - 20 = 25
5.
[
] - 30 = 60
6.
[
] - 65 = 100
7.
[
] - 73 = 127
PRACTICE 1.3 Find the value of the following. Show your working clearly. 1.
3490 + 2146 =
2.
9045 + 9398 =
3.
4859 + 2920 =
4.
7019 - 1381 =
5.
5050 + 3377 =
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Problem Solving Using Model Drawing 2013 PRACTICE STEP BY STEP 1 Example Siti had some stamps. After she gave away 260 stamps to her brother, she had 750 stamps left. How many stamps did Siti have at first?
?
Give brother
260
Left
750
260 + 750 = 1,010 Siti has 1,010 stamps at first.
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Problem Solving Using Model Drawing 2013 QUESTION 1 Mrs Sim went shopping. She spent $135 on books. Then she had $126 left. How much money did she have at first?
QUESTION 2 Jenny had some money in her piggy bank. Then she took out $25 to buy a birthday present for her brother. After that she had $45 left in her piggy bank. How much money was there in her piggy bank at first?
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Problem Solving Using Model Drawing 2013 QUESTION 3 John had some stamps in his album. Then he gave 155 stamps to his sister. He found that he had only 345 stamps left. How many stamps did he have at first?
QUESTION 4 Ahmad wanted to pack his picture cards into a box. The box could hold only 290 cards. He still had 216 more cards left over. How many picture cards did he have altogether?
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Problem Solving Using Model Drawing 2013 QUESTION 5 Many children visited the zoo on Sunday. The first 200 children were given a free balloon each. 170 children were disappointed because they did not receive any balloons. How many children visited the zoo on Sunday?
QUESTION 6 Mr Zaki bought a packet of sweets for a children's party. The children ate 168 sweets. after the party, Mr Zaki still had 72 sweets left. How many sweets were there in the packet?
QUESTION 7 After spending $55.50, Jun had $25.50 left. How much money did Jun have at first?
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Problem Solving Using Model Drawing 2013 PRACTICE STEP BY STEP 2 Example There were 820 students in Perry Primary School in January. In June, some students left to join another school. Only 215 students remained in the school. How many students went to join the other school?
820 students
go to another school
?
remain
215
820 - 215 = 605 605 students went to join the other school.
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Problem Solving Using Model Drawing 2013 QUESTION 1 Mary went to a book store to buy a assessment books. He gave the cashier a $120 note. He got back $32 change. How much did the assessment books cost?
QUESTION 2 On Monday, a store had 2 348 toy cars for sale. By Wednesday there were only 456 toy cards left. How many toy cars were sold?
QUESTION 3 Zaitoon has $37.00. Zaitoon has $7.50 less than Mariah. a) How much money does Zaitoon have? b) How much money do both of them have altogether?
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Problem Solving Using Model Drawing 2013 QUESTION 4 George and Ben bought a present for Ann. George paid $6.80 and Ben paid $4.90. a) How much did the present cost? b) How much less did Ben pay?
QUESTION 5 Mr Tan has $175. He needs $15.90 more to buy a watch. How much does the watch cost?
QUESTION 6 2 545 people visited the circus last Sunday. 966 were adults and the rest were children. a) How many of the visitors were children? b) How many more children than adults visited the circus?
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Problem Solving Using Model Drawing 2013 PRACTICE STEP BY STEP 3 (PART 1) Example 2570 people visited the museum in the morning. 5095 people visited the museum in the afternoon. Which session has more visitors and by how many more?
? (a)
Morning
? (b)
2,570 ? (b)
Afternoon
5,095
(a) There are more visitors in the afternoon.
5,095 - 2,570 = 2,525 (b) There are 2,525 more people in the afternoon than the morning session.
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Problem Solving Using Model Drawing 2013 QUESTION 1 Mr Tam earns $5200 a month. Mrs Tam earns $350 more than Mr Tam. How much do they earn altogether?
QUESTION 2 Siti saved $4800. Zainab saved $550 less than Siti but $990 more than Malik. How much did Siti and Zainab save altogether?
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Problem Solving Using Model Drawing 2013 QUESTION 3 John had $1939. He spent $430 on new clothes and another $458 on a television set. How much did he give his mother if he saved $990?
QUESTION 4 1523 students attended the school assembly. 553 were boys. How many more girls were at the assembly?
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Problem Solving Using Model Drawing 2013 PRACTICE STEP BY STEP 3 (PART 2)
QUESTION 1
There are 1800 children in the hall. 890 of them are boys. How many girls are there?
QUESTION 2 There are 304 guppies in a fish pond. 53 of them died. How many of them are alive?
QUESTION 3 Yellow group had 585 points. Today, the group scored another 143 points. How many points does Yellow group have now?
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Problem Solving Using Model Drawing 2013 QUESTION 4 Mrs Toh had $2000. She bought a dress for $389 and $170 on handbag. She spent the rest of the money on a sofa set. How much did the sofa set cost?
QUESTION 5 Mr Sham spent $150 on a tennis racket. He had $175 at first. How much money had he left?
QUESTION 6 School A has 270 Primary 2 pupils. School B has 35 more Primary 2 pupils than School A. How many Primary 2 pupils does School B have?
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Problem Solving Using Model Drawing 2013 QUESTION 7 Mick spent $36 on his lunch. He spent $15.50 on some snacks. Then, he bought a book that cost $42. How much money did he spend in all?
QUESTION 8 There were 365 days in a year. 105 of them days were rainy days. How many days in the year were not rainy days?
QUESTION 9 At first, Mr Saiful had 304 Primary 4 pupils in his junior soccer club. Last week, 237 Primary 3 pupils joined the club. How many pupils does he have in his club now?
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Problem Solving Using Model Drawing 2013 PRACTICE STEP BY STEP 4
QUESTION 1 There were 733 boys and 906 girls in a school. Later 246 pupils went to another school. (a) How many pupils were there in the school at first? (b) How many pupils were there in the school in the end?
(a) There were ___________ pupils in the school at first.
(b) There were ___________ pupils in the school in the end.
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Problem Solving Using Model Drawing 2013 QUESTION 2 Mrs Angela has 278 girls and 503 boys in her library club. Later, 125 pupils joined her library club. (a) How many pupils were there in her library club at first? (b) How many pupils were there in her library club in the end?
(a) There were ___________ pupils in her library club at first.
(b) There were ___________ pupils in her library club in the end.
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Problem Solving Using Model Drawing 2013 QUESTION 3 There were 234 dogs and 118 rabbits in a pet shop. Then, 87 dogs and 43 rabbits were sold. (a) How many animals were there in the pet shop on first? (b) How many animals were sold? (c) How many animals were there in the pet shop in the end?
QUESTION 4 Pavi has 1200 beads. Vani has 429 beads fewer than Pavi. (a) How many beads does Vani have? (b) How many beads do they have altogether?
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Problem Solving Using Model Drawing 2013 QUESTION 5 Lawrence has $1589. His brother has $283 more than him. (a) How much money does his brother have? (b) How much money do they have altogether?
QUESTION 6 Mr Hamsah sold 2530 cups of lemonade. He sold 1200 fewer cups of fruits punch than lemonade. (a) How many cups of fruit punch did he sell? (b) How many cups of fruit punch and lemonade did he sell altogether?
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Problem Solving Using Model Drawing 2013 QUESTION 7 Boon Yeow's essay has 2650 words. Maverick's composition has 455 more words than Boon Yeow's essay. (a) How many words are there in Maverick's essay? (b) How many words are there in both the boys' essay?
QUESTION 8 There are 290 Primary 1 pupils. There are 70 more Primary 2 pupils than Primary 1 pupils. (a) How many Primary 2 pupils are there? (b) How many pupils are there in Primary 1 and 2?
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Problem Solving Using Model Drawing 2013 QUESTION 9 Mdm Rani mad 1500 curry puffs. Mdm Siti mad 450 fewer curry puffs than Mdm Rani. (a) How many curry puffs did Mdm Siti make? (b) How many curry puffs did they make altogether?
QUESTION 10* Mr Lim needed $5900 to pay for his child's medical fees. He earned $3660 last week. He earned $200 more this week than last week. (a) How much money did he earn this week? (b) How much money did he earn over these two weeks? (c) Did he earn enough over the two weeks to pay for his child's medical fees? (d) How much more or how much less did he earn?
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