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
Page 1
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 AREA & PERIMETER
4
REVISION TEST 5 REVISION TEST 6 DECIMALS
5
REVISION TEST 7 REVISION TEST 8 RATIO
6
REVISION TEST 9 REVISION TEST 10 CHALLENGING PROBLEMS
7
REVISION TEST 11 REVISION TEST 12 AVERAGE
8
REVISION TEST 13 REVISION TEST 14
P5 MathsExCEL - Problem Solving Using Model Drawing
Page 2
Problem Solving Using Model Drawing 2013 UNIT
TOPIC
MARKS
REMARK
FOLLOW UP ACTION
VOLUME OF CUBE & CUBOID 9
REVISION TEST 15 REVISION TEST 16 PERCENTAGE
10
REVISION TEST 17 REVISION TEST 18
11
FUNDAMENTAL PROBLEM SOLVING STRATEGIES REVISION TEST 19 REVISION TEST 20
P5 MathsExCEL - Problem Solving Using Model Drawing
Page 3
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 ..................................................................
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 ..................................................................
P5 MathsExCEL - Problem Solving Using Model Drawing
Page 4
Problem Solving Using Model Drawing 2013 UNIT 4
AREA AND PERIMETER 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 ..................................................................
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
AVERAGE PRACTICE STEP BY STEP 71 - 75 ...................................... REVIEW 15 .......................................................................... REVISION TEST 9 ..................................................................
UNIT 9
VOLUME OF CUBE AND CUBIOD PRACTICE STEP BY STEP 76 - 80 ...................................... REVIEW 15 .......................................................................... REVISION TEST 10...............................................................
P5 MathsExCEL - Problem Solving Using Model Drawing
Page 5
Problem Solving Using Model Drawing 2013 UNIT 10
PERCENTAGE PRACTICE STEP BY STEP 81 - 85 ...................................... REVIEW 16 .......................................................................... REVISION TEST 11...............................................................
UNIT 11
FUNDAMENTAL PROBLEM SOLVING STRATEGIES PRACTICE STEP BY STEP 86 - 90 ...................................... REVIEW 17 .......................................................................... PRACTICE STEP BY STEP 91 - 95 ...................................... REVIEW 18 .......................................................................... REVISION TEST 10 ..................................................................
P5 MathsExCEL - Problem Solving Using Model Drawing
Page 6
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
P5 MathsExCEL - Problem Solving Using Model Drawing
Page 7
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
P5 MathsExCEL - Problem Solving Using Model Drawing
Page 8
Problem Solving Using Model Drawing 2013 UNIT 2 - WHOLE NUMBERS PRACTICE STEP BY STEP 1
Example 1 Kelvin paid $281.40 for a camera and a radio. The camera cost $87.80 more than the radio. How much did the camera cost?
Solution
Radio $281.40 Camera
$87.80
?
$281.40 - $87.80 = $193.60 $193.60 รท 2 = $96.80 The radio cost $96.80
$96.80 + $87.80 = $184.60 The camera cost $184.60
P5 MathsExCEL - Problem Solving Using Model Drawing
Page 9
Problem Solving Using Model Drawing 2013 Example 2 The total mass of Siti, Emilia and Cindy is 131kg. Siti is 18kg lighter than Cindy and Emilia is 7kg lighter than Cindy. What is Siti's mass?
Solution
18 kg
7 kg
Siti
131 kg
Emilia Cindy
3 units
= 131kg - 18kg - 11kg = 102kg
Siti
= 102kg รท 3 = 34kg
Siti's mass is 34kg
P5 MathsExCEL - Problem Solving Using Model Drawing
Page 10
Problem Solving Using Model Drawing 2013 QUESTION 1 Peter and Fiona have $142.30 altogether. Fiona has $19.90 less than Peter. How much does Fiona have?
QUESTION 2 Jason, Simon and Linda have 238 stickers altogether. Jason has 25 fewer stickers than Simon. Simon has 46 more stickers than Linda. How many stickers does Simon have?
P5 MathsExCEL - Problem Solving Using Model Drawing
Page 11
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.
P5 MathsExCEL - Problem Solving Using Model Drawing
Page 12
Problem Solving Using Model Drawing 2013 QUESTION 5 Mrs Smith had $637. She gave all the money to her 4 children. Andrew, Bill, Claire and Daniel. Andrew received the most while Daniel received the least. The difference between the amount Andrew received and the amount each of the siblings received were $20. How much did Andrew receive?
QUESTION 6 Jack, Sam and Tom had a total of 360 marbles. Sam had 20% more marbles than Jack while Tom had 20% less marbles than Jack. How many more marbles did Sam have than Tom?
P5 MathsExCEL - Problem Solving Using Model Drawing
Page 13
Problem Solving Using Model Drawing 2013 PRACTICE STEP BY STEP 2 QUESTION 1 A group of pupils share a packet of sweets. If each pupil gets 8 sweets, there will be 4 sweets left over. If each pupil gets 9 sweets, there will be a shortage of 4 sweets. (a) How many pupils are there in the group? (b) How many sweets are there in the packet?
QUESTION 2 Rachel bought 5 durian cakes and 3 dozens of durians of durian puffs. Each durian cake cost 6 times as much as a durian puff. If she paid a total of $198, how much more did a durian cake cost than a durian puff?
P5 MathsExCEL - Problem Solving Using Model Drawing
Page 14
Problem Solving Using Model Drawing 2013 QUESTION 3 Susan bought some purses and 3 fewer tote bags for $273. Each tote bag cost $28 and each purse cost $23. How many purses did Sarah buy?
QUESTION 4 Justin has $48 less than Ken. Lincoln has $152 more than the total amount of money Justin and Ken have. If Lincoln has $272 more than Ken, how much money does Lincoln have?
P5 MathsExCEL - Problem Solving Using Model Drawing
Page 15
Problem Solving Using Model Drawing 2013 QUESTION 5 The cost of one sweater and a pair of shoes was $100. Clive bought 4 sweaters, 2 pairs of shoes and a tennis racket for $351. If the cost of one sweater and one tennis racket was $115, find the cost of a sweater.
QUESTION 6 Jacob and Isaac went shopping with an equal amount of money. After Jacob spent $70 and Isaac spent $302, Jacob had 5 times as much money left as Isaac. How much did each of them bring along for shopping?
P5 MathsExCEL - Problem Solving Using Model Drawing
Page 16
Problem Solving Using Model Drawing 2013 QUESTION 7 Daniel has 4 times as many stamps as Edward. How many stamps must Daniel give to Edward so that each of them will have 245 stamps?
QUESTION 8 When Henry is 12 years old, his mother is 4 times as old as he. How old will Henry be when his mother is 3 times as old as he?
P5 MathsExCEL - Problem Solving Using Model Drawing
Page 17
Problem Solving Using Model Drawing 2013 QUESTION 9 Bill and Jill have some money. If Bill gives Jill $85, they will have the same amount of money. If Jill gives Bill $85, Bill will have twice as much money as Jill. How much money does each person have?
QUESTION 10 Kenny, Denny, Ronnie and Benny have a total of 360 cards. If Kenny loses 28 cards, Ronnie buys 18 cards and Benny triples the number of cards he has, then all of them would have an equal number of cards. How many cards does Benny have at first?
P5 MathsExCEL - Problem Solving Using Model Drawing
Page 18
Problem Solving Using Model Drawing 2013 QUESTION 11 Howard earns $8 more per day than Ivan but Howard spends $6 more than Ivan per day. After 90 days, who will save more, and by how much more?
QUESTION 12 A bill of $83 was paid with $10, $5 and $1 notes. If 15 notes were used, how many notes of each kind were used?
P5 MathsExCEL - Problem Solving Using Model Drawing
Page 19