PRAKTIS GO! KSSR series features TYPC255032
various practices to supplement
the textbooks. These practices are
useful as enrichment materials and
formative assessments to gauge
pupils’ learning. The concept of
HOTS is also incorporated in the
practices to fulf l the latest
requirements.
A summative assessment
is also provided to assess
pupils’ overall achievement.
Subject/ English Mathematics Science
Year This series is indeed the best
choice to enhance teaching
1
and learning in the subject.
2
KSSR
3 KURIKULUM STANDARD SEKOLAH RENDAH
SEMAKAN
4 STANDARD KUALITI
5
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TYPC255032
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Contents
PAK-21 Activity.....................................................................................................................i.–.iv
THEME 1 Numbers and Operations
Practice 1 Whole.Numbers.and.Operations..........................................................1.–.9
Practice Praktis GO! MATHEMATICS 5, 版权所有·侵权必究
Practice 2 Fractions,.Decimals.and.Percentages............................................... 10.–.17
Practice 3 Money............................................................................................... 18.–.24
. . QQ 24
THEME 2 Measurement and Geometry
Practice 4 Time................................................................................................... 25.–.31
Practice 5 Length,.Mass.and.Volume.of.Liquid................................................32.–.38
Practice 6 Space.................................................................................................39.–.47
. QQ 47
THEME 3 Relationship and Algebra
Practice 7 Coordinates,.Ratio.and.Proportion...................................................48.–.56
. QQ 56
THEME 4 Statistics and Probability
8 Data.Handling...................................................................................57.–.64
. QQ 64
Year-end.Assessment.................................................................................................. .65.–.80
Answers..........................................................................................................................A1.–.A4
PAK-21 Activity
MIX and MATCH
1. The diagram below shows several number cards.
278 345 18 000 540 012 420 760 700 000
Praktis GO! MATHEMATICS 5, 版权所有·侵权必究
1 Make the number cards using cardboard. You can make more than number cards shown
above.
2 Pupils are divided into several groups.
3 Group 1 is given card numbers written in numerals.
4 Group 2 is given card numbers written in words.
5 Pupils who get the numbers would look for numerals and words that match the cards in their
hands.
6 Pupils who have found their matches would stand before the class with their number cards in
their hand.
7 Other pupils would respond whether the matches to the number cards are right or wrong.
8 Take turns according to the groups.
i © Penerbitan Pelangi Sdn. Bhd.
Mathematics Year 5 PAK-21 Activity
Role Play
2. The diagram below shows the models of items to be sold.
RM1 700 RM1 550 RM650 RM450.50
1 Produce the models of the items above by using cardboard.
2 Produce some sample of money.
3 Form a group of 4 members in each group.
4 Carry out a sales and purchase session and take turns according to groups.
5 Record the money spent and the income from the sales.
Example of work done:
Sales
Unit
Items sold
No. Praktis GO! MATHEMATICS 5, 版权所有·侵权必究
Total price
1 Mobile phone 3 RM5 100
2 Television 2 RM3 100
3 Cupboard 2 RM1 300
Total RM9 500
Expenditure
No. Items bought Unit Price
1 Mobile phone 1 RM1 700
2 Television 1 RM1 550
3 Fan 1 RM450.50
Total RM3 700.50
© Penerbitan Pelangi Sdn. Bhd. ii
Mathematics Year 5 PAK-21 Activity
i-THINK
Peta i-THINKmaps
3. The diagram below shows the position of vegetables on a Cartesian plane. Complete the
bridge map below based on the diagram.
y
8
7 Long bean
Praktis GO! MATHEMATICS 5, 版权所有·侵权必究
6
Carrot
Mustard
5
Cucumber
4
3 Brinjal Corn
Stink
2
beans
1 Pumpkin Cabbage
x
0
1 2 3 4 5 6 7 8 9
is a coordinates of (1, 6) (6, 5) (3, 7)
as as
Relating factor (a) (b) (c)
is at the coordinates Stink beans Cabbage Corn
as as
Relating factor (d) (e) (f)
is the coordinates of (5, 5) (2, 1) (6, 3)
as as
Relating factor (g) (h) (i)
iii © Penerbitan Pelangi Sdn. Bhd.
Mathematics Year 5 PAK-21 Activity
Fan-N-Pick
4. The diagram below shows the question cards chosen by the pupils.
How many years How many decades is How many decades is
is equivalent to 5
decades? equivalent to 20 years? equivalent to 12 years?
Praktis GO! MATHEMATICS 5, 版权所有·侵权必究
How many hours
How many years is How many hours is is equivalent to 90
equivalent to 1 century? equivalent to 3 days?
minutes?
How many months is How many minutes is How many days is
equivalent to 3 years? equivalent to 5 hours? equivalent to 4 weeks?
1 Make several question cards involving time using cardboard. The question cards can be more
than the cards shown.
2 Take turns to play each role.
Pupil 1 : Arrange the cards like a fan.
Pupil 2 : Choose the card and read the questions to the rest of the pupils.
Pupil 3 : Answer the questions.
Pupil 4 : Give a response and comment the answers given by your friend.
3 Repeat the activity with other friends.
© Penerbitan Pelangi Sdn. Bhd. iv
Name:........................................................................... Class:.............................. Date:.......................
THEME 1:
Practice Whole Numbers and
Numbers and Operations
1 Operations
Textbook pages: 1 – 64
value Praktis GO! MATHEMATICS 5, 版权所有·侵权必究
SMART NOTES
1. A whole number can be written in numerals Example:
and words. The number begins from the HTh TTh Th H T O
highest place value and is followed by the 2 4 5 6 9 0
next smaller place value. Example: 2 4 7 3 5 4
In numerals → 578 932
In words → Five hundred seventy-eight Both the digits 7 is bigger
thousand nine hundred and thirty-two are the same than 5
Therefore, 247 354 is larger than 245 690.
2. Each digit has its place value and digit value.
Example: 832 146 5. A number with extra digits has a larger value.
Example: 156 876 is larger than 95 231.
Number Place value Digit value
hundred 800 000 6. Prime numbers
8
thousands (a) Can only be divided by 1 and by itself
3 ten thousands 30 000 (b) 1 is not a prime number
2 thousands 2 000 (c) Number 2 is the only even number that
is a prime number.
1 hundreds 100
(d) Prime numbers within the range of 100
4 tens 40 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37,
6 ones 6 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83,
89, 97.
3. The whole number can be partitioned
according to the digit value and the place 7. Estimates for quantitities of objects can be
value. done based on a given set of references.
Example: 453 297 Example:
Container A has 500 pieces of chocolate.
Digit 400 000 + 50 000 + 3 000 +
200 + 90 + 7 Container B has almost half the amount of the
chocolate. The estimated pieces of chocolate
4 hundred thousands + 5 ten
Place thousands + 3 thousands + 2 in container B is about 250 pieces.
value
hundreds + 9 tens + 7 ones 8. Before rounding off any number, identify
(a) the digit at the place value that will be
4. The value of a number can be compared by rounded off
using the place value table.
(b) the digit on its right.
1 © Penerbitan Pelangi Sdn. Bhd.
Mathematics Year 5 Practice 1 Whole Numbers and Operations
Example: 11. Subtraction is the process of f nding the
Round off 563 277 to the nearest hundred difference.
thousand.
6 is larger than 5. Arrange the
Add 1 to 5 numbers in
standard Subtract Regroup if
563 277 → 600 000 written form from right necessary.
according to to left.
The digit at the their place
place value Change to 0 value.
Praktis GO! MATHEMATICS 5, 版权所有·侵权必究
that will be all the digits
rounded off on the right
12. Multiplication is a process of repeated addition.
Round off 324 987 to the nearest ten thousand.
4 is smaller than 5 Arrange the
Therefore digit 2 remains. numbers in
standard Multiply
324 987 → 320 000 written form from right Regroup if
according to to left. necessary.
The digit at the their place
place value Change to 0 value.
that is going to all the digits
be rounded. on the right.
13. Multiplication of any number with 100 and
9. The numbers arranged in a particular 1 000.
sequence are known as number patterns. 678 × 100 = 67 800
These number patterns can be determined 564 × 1 000 = 564 000
by adding, subtracting, multiplying or 14. Division is the process of gathering or sharing
dividing the numbers with the certain number equally.
consecutively.
Example: 15. Division is the inverse of the multiplication
process.
+ 200 + 200 + 200 + 200
16. Division of any number 100 or 1 000.
45 300 ÷ 100 = 453
14 000 14 200 14 400 14 600 14 800
875 000 ÷ 1 000 = 875
10. Addition is the process of f nding the total of 17. Mixed operation is a process that involves
two or more numbers.
more than one operation.
Mixed
Arrange the operation Solution
numbers in
standard Add from + and × × f rst, then +
written form right to Regroup if – and × × f rst, then –
according to left. necessary. + and ÷ ÷ f rst, then +
their place – and ÷ ÷ f rst, then –
values.
18. For a mixed operation involving brackets ( ),
solve the operations in the brackets f rst.
© Penerbitan Pelangi Sdn. Bhd. 2
Mathematics Year 5 Practice 1 Whole Numbers and Operations
Objective Questions
Instruction: Answer all questions. Choose one correct answer.
Number value 6. Which of the following sequences is in the
1.1
ascending order?
1. ‘Five hundred thirty-four thousand eight A 145 367, 145 637, 154 678, 154 778
hundred and seventy-nine’ written in B 154 778, 154 678, 145 637, 145 367
numerals is C 145 637, 145 367, 154 678, 154 778
Praktis GO! MATHEMATICS 5, 版权所有·侵权必究
A 543 978 C 534 978 D 145 367, 145 637, 154 778, 154 678
B 543 879 D 534 879
7. The diagram below shows a number
2. 654 700 in words is pattern in descending order.
A Six hundred forty-f ve thousand and
seven hundred. 764 322, 664 322, 564 322, X
B Six hundred f fty-four thousand and
seven hundred What is the value of X?
C Six hundred f fty-four thousand and A 364 233 C 464 322
seven zero B 364 332 D 464 122
D Six hundred thousand f fty-four and
seven hundred 8. The diagram below shows a number
pattern in ascending order.
3. The diagram below shows a number card.
321 510, Y, 341 510, 351 510
356 970
What is the value of Y?
What is the place value for the underlined A 321 501 C 331 501
digit? B 331 510 D 331 500
A Hundred thousands
B Ten thousands 1.2 Prime numbers
C Ones
D Thousands 9. Which of the following numbers is a prime
number?
4. 98 607 = A 1 C 7
A 90 000 + 8 000 + 600 + 70 B 6 D 8
B 90 000 + 8 000 + 600 + 7
C 90 000 + 800+ 60 + 70 10. Which of the following numbers is not a
D 90 000 + 800 + 60 + 7 prime number?
A 20 C 5
5. 5 hundred thousands + 8 thousands + B 11 D 3
3 hundreds + 9 tens + 2 ones =
A 508 392 11. Which of the following is a list of prime
B 580 392 numbers?
C 508 329 A 4, 8, 12 C 29, 43, 47
D 580 329 B 10, 12, 14 D 50, 52, 54
3 © Penerbitan Pelangi Sdn. Bhd.
Mathematics Year 5 Practice 1 Whole Numbers and Operations
Estimation 17. Which of the following becomes 474 000
1.3
HOTS
Analysing when rounded off to the nearest thousand?
12. The diagram below shows the number of A 474 900
sweets in container A. B 474 899
10 327 C 474 611
sweets D 474 374
Container A Container B Number patterns
1.5
18. The diagram below shows a number line.
Praktis GO! MATHEMATICS 5, 版权所有·侵权必究
Estimate the number of sweets in container
B. 231 640 231 644 X 231 652
A 20 645 C 20 655
B 20 654 D 60 665
Find the value of x.
13. The diagram below shows the volume of A 211 648 C 231 648
water in beaker B. B 221 648 D 231 684
19. The diagram below shows a number
BeakerB pattern.
BeakerA 600 ml
123 429, 123 431, 123 433, 123 435
State the number pattern.
Estimate the volume of water in beaker A. A Descending by tens
A 1 200 mℓ C 400 mℓ B Ascending by tens
B 900 mℓ D 300 mℓ C Descending by twos
D Ascending by twos
Rounding off numbers
1.4
1.6 Basic operations
14. Round off 350 544 to the nearest ten
thousand. 20. 870 637 + 5 546 + 113 645 =
A 350 000 C 350 540 A 998 828 C 988 828
B 350 500 D 400 000 B 989 828 D 999 828
15. Which of the following numbers becomes 21. 14 345 + 675 400 + 12 904 + 1 265 =
HOTS 600 000 when rounded off to the nearest
Analysing A 603 914 C 803 914
hundred thousand? B 703 914 D 903 914
A 543 729 C 653 729
B 553 729 D 663 729 22. 634 124 + 20 345 + = 800 000
HOTS
16. Which of the following is rounded off to the Applying A 540 577 C 154 531
nearest thousand correctly? B 254 768 D 145 531
A 25 564 → 25 000
B 32 430 → 33 000 23. 790 035 – 14 090 =
C 53 165 → 53 000 A 775 945 C 755 900
D 45 981 → 45 000 B 755 955 D 790 000
© Penerbitan Pelangi Sdn. Bhd. 4
Mathematics Year 5 Practice 1 Whole Numbers and Operations
24. 900 000 – M = 654 329. Find the value of 1.8 Using unknown
M.
A 225 671 33. State the value of the unknown P.
B 235 677
C 245 671 35 543 × P = 142 172
D 245 677 A 2 C 4
25. Find the product of 78 650 × 12. B 3 D 5
A 934 880
B 934 880 1.9 Problem solving
Praktis GO! MATHEMATICS 5, 版权所有·侵权必究
C 943 800
D 943 888 34. Several farmers collected 345 700
sapodillas and 25 300 oranges. The
26. The estimated range of the product of number of starfruits are 7 606 more than
1 356 and 23 is between sapodillas. Calculate the total amount of
A 10 thousands till 20 thousands fruits collected by the farmers.
B 20 thousands till 30 thousands A 724 306 C 371 000
C 30 thousands till 40 thousands B 716 700 D 345 700
D 40 thousands till 50 thousands 35. The number Q when multiplied with 100
27. Multiply 2 ten thousands with 34. becomes 564 000. State the value of Q.
A 688 000 C 608 000 A 5 604
B 680 000 D 600 000 B 5 644
C 5 650
28. 673 240 ÷ 8 =
A 87 155 C 85 100 D 5 640
B 86 555 D 84 155 36. There are 678 314 residents in a district.
From that total, 298 254 are male residents
29. 5 hundred thousands books are put
HOTS and the rest are female residents. What is
Applying equally in 1 hundreds boxes. Calculate the total number of female residents in the
the number of books in each box. district?
A 500 C 50 000 A 380 060
B 5 000 D 500 000
B 380 006
Mixed operations C 308 060
1.7 D 308 006
30. 765 423 + 1 639 × 12 = 37. A bakery sells 101 370 loaves of bread
A 785 091 C 988 828 in January. The number of loaves sold
B 989 828 D 999 828 in February is 3 times the number of
loaves sold in January. Calculate the total
31. Solve 532 728 ÷ (240 – 198). number of loaves of bread sold in the two
A 16 284 C 12 684 months.
B 16 248 D 12 648 A 304 110
32. 55 600 ÷ 5 + 34 670 = B 340 011
A 6 934 C 45 790 C 405 408
B 11 120 D 90 270 D 405 480
5 © Penerbitan Pelangi Sdn. Bhd.
Mathematics Year 5 Practice 1 Whole Numbers and Operations
Subjective Questions
Instruction: Answer all questions. Show your workings and write the answers in the space provided.
1. (a) The diagram below shows a number 4. The table below shows several numbers.
card.
1 2 3 4 5
978 609 6 7 8 9 10
Write the number on the card in 11 12 13 14 15
words. 16 17 18 19 20
(a) List out the prime numbers based on
the given numbers above. PL 2
(b) State in numerals f ve hundred thirty-
two thousand eight hundred and
twenty.
(b) Why are the numbers besides the
HOTS answers are not prime numbers?
Evaluating
2. The diagram below shows six number
cards.
2 0 1 8 5 6
Praktis GO! MATHEMATICS 5, 版权所有·侵权必究
(a) Form the largest six-digit number.
5. Diagram 5 shows a number card.
756 120
(b) Form the smallest six-digit number.
(a) Round off the number to the nearest
hundred thousand. PL 3
3. The diagram below shows a number card.
548 267
(b) Starting with the number on the card,
(a) What is the digit value of the list out 3 subsequence numbers that
underlined digit? form a number pattern in descending
order by sevens. PL 3
(b) Partition the number based on their
digit values.
© Penerbitan Pelangi Sdn. Bhd. 6
Mathematics Year 5 Practice 1 Whole Numbers and Operations
6. The diagram below shows two beakers (b) The number of cupcakes sold
with water, X and Y. in March is the same as the total
number of cupcakes sold in January
and February. How many cupcakes
BeakerX are sold in March? PL 5
BeakerY
800 ml
(a) Estimate the volume of the water in
Praktis GO! MATHEMATICS 5, 版权所有·侵权必究
beaker Y. PL 3
9. Pond A and pond B each contain 35 490
f sh and 120 539 f sh respectively.
(a) What is the difference between
the number of f sh in pond A and
(b) Half of the water in beaker Y is poured pond B? PL 4
out. Estimate the volume of water in
beaker Y now. PL 3
(b) It is found that 14 670 f sh in pond
B had died. Calculate the remaining
number of f sh in pond B. PL 4
7. Complete the following number patterns.
(a) 324 560 , 324 562, X, Y, 324 568
PL 3
X :
Y :
(b) 120 490, 121 490, 122 490, X, 124 490
PL 3 10. There are 9 tomatoes in a container.
X : Mr. Heng has ordered several containers
of tomatoes. The total number of tomatoes
ordered is 12 204. PL 4
8. The table below shows the number of (a) State the unknown for the situation
cupcakes sold by Ms Suzie. above.
Month Quantity
January 130 265
February 5 670 more cupcakes than
in January (b) Write a suitable mathematical
statement for the situation above.
(a) How many more cupcakes were sold
in February? PL 4
7 © Penerbitan Pelangi Sdn. Bhd.
Mathematics Year 5 Practice 1 Whole Numbers and Operations
11. A total of 123 360 packets of sugar had 12. Madam Kavitha has 320 buttons.
been divided equally by a factory to 80 (a) She buys 10 more packets of buttons.
grocery stores. Each packet has 20 buttons in it. What
(a) How many packets of sugar did each is the total number of button she has
grocery store receive? PL 4 now? PL 4
(b) Grocery store A f nished selling all the (b) She repackages the buttons into 50
Praktis GO! MATHEMATICS 5, 版权所有·侵权必究
packets of sugar in 6 months. If the packets with ten buttons in each
grocery store sells an equal number of packet and she is going to use the
sugar packets every month, calculate rest. How many buttons will be
the number of sugar packets sold in used?
each month. PL 5 PL 5
HOTS Practice
1. Mr. Lim’s factory produces 140 000 boxes of juice in the f rst month. The number of boxes of
juice produced increased by 300 boxes for each of the following months. How many boxes
of juice are produced in the f fth month?
2. The table below shows the total number of biscuits made by Puan Jamilah in three months.
Month Number of biscuits
March 1 376 pieces more than April
April 30 567
May 1 402 pieces more than March
Puan Jamilah targets to make at least 32 000 pieces of biscuits in May. Has Puan Jamilah’s
target been achieved? Prove it.
© Penerbitan Pelangi Sdn. Bhd. 8
Mathematics Year 5 Practice 1 Whole Numbers and Operations
Reinforcement
Practice 1
Instruction: Answer all questions.
1. Which of the following will become 700 6. (a) The diagram below shows f ve number
when rounded off to the nearest hundred? cards.
A 546 C 645
Praktis GO! MATHEMATICS 5, 版权所有·侵权必究
B 556 D 665 3 8 1 5 6
Form the smallest f ve-digit number.
2. Which of the following is not a prime
number?
A 2 C 12 (b) Round off 35 790 to the nearest
B 5 D 19 hundred.
3. The diagram below shows four number
cards.
7. Sarah has 850 oranges for sale. The table
50 145 63 245 X 10 345. below shows the number of oranges sold
by Sarah in two days.
The total of the numbers on all the cards Day Number of oranges sold
is 150 000. What is the value of X? Tuesday 467
A 26 265 C 26 225
B 26 256 D 26 255 Wednesday 230
Calculate the remaining oranges.
4. 195 300 ÷ 9 =
A 217 C 21 700
B 2 170 D 21 007 8. The table below shows the number of
audiences at a cinema for three months.
5. The diagram below shows four number Month Number of audience
cards.
January 11 654
20 568 22 355 27 764 26 421 February 24 276
(a) State the digit value of the underlined March 12 009
digit.
(a) Amy forms a f ve-digit number by
using all the underlined digit value in
the table above. What is the number?
(b) Calculate the difference between
the largest number and the smallest (b) The entrance fee for each audience is
number in the diagram above. RM15. Calculate the total amount of
the entrance fee for the three months.
9 © Penerbitan Pelangi Sdn. Bhd.
Name:........................................................................... Class:.............................. Date:.......................
Practice THEME 2:
Measurement and Geometry
4 Time
Textbook pages: 123 – 176
Praktis GO! MATHEMATICS 5, 版权所有·侵权必究
SMART NOTES
1. There are two ways to tell time: 3. Relationships between units of time:
(a) The 12-hour system
(i) a.m. – morning 1 minute = 60 seconds
(ii) p.m. – afternoon or evening 1 hour = 60 minutes
(b) The 24-hour system 1 day = 24 hours
(i) in numerals = 2250 hours 1 week = 7 days
(ii) in words = twenty-two f fty hours 1 year = 12 months
1 decade = 10 years
2. Duration = ending time – starting time
Ending time = starting time + duration 1 century = 10 decades
Starting time = ending time – duration 1 century = 100 years
(For the calculation of duration that involves 4. A leap year is a year that has an extra day
the number of days, one additional day compared to the normal years. A leap year
has to be added to the number of days in occurs once every four years in February.
the duration because the f rst day is also
counted.)
5. Conversion among units of time.
× 3 600
× 7 × 24 × 60 × 60
Week Day Hour Minute Second
÷ 7 ÷ 24 ÷ 60 ÷ 60
÷ 3 600
25 © Penerbitan Pelangi Sdn. Bhd.
Mathematics Year 5 Practice 4 Time
Objective Questions
Instruction: Answer all questions. Choose the correct answer.
Duration 1
4.1 5. Convert day to hours.
2
1. The table below shows Azlan’s travel time A 2 hours C 12 hours
from City A to Village S. B 6 hours D 24 hours
Departs Arrives 6. 3 year is equivalent to ________ months.
Praktis GO! MATHEMATICS 5, 版权所有·侵权必究
9:20 p.m. 4:10 a.m. 4
Tuesday Wednesday A 9 C 11
B 10 D 12
Calculate the duration of time for the
journey. 7. Convert 0.75 year to months.
A 2 hours 40 minutes A 9 months C 25 months
B 3 hours 40 minutes B 18 months D 75 months
C 6 hours 40 minutes 8. 1 decade is equivalent to ________ years.
D 6 hours 50 minutes 4
A 2.0 C 0.20
2. The table below shows the dates of the
cheap sale at a supermarket started and B 2.5 D 0.25
ended. 9. 0.20 century is __________ decades.
A 200 C 2
Start End
B 20 D 0.20
2020 2020
4 April 20 April 10. Convert 0.60 century to years.
A 600 years C 6 years
What is the duration of the campaign? B 60 years D 0.60 year
A 16 days
B 17 days Basic operations involving time
C 18 days 4.3
D 19 days 11. Which of the following is true?
3. Calculate the duration from 14 January A 0.5 minute + 0.4 minute = 60 seconds
1
2018 to 14 January 2020. B 60 seconds – minute = 45 seconds
A 700 days 1 4
B 701 days C 3 days – 12 hours = 72 hours
4
C 730 days D 2.5 days + 18 days = 20 days
D 731 days 18 hours
Relationship involving units of time 1 1
4.2 12. decade + decade = _____ years
2 5
4. 4 hours = _____ minutes A 7
5 B 8
A 36 C 60 C 9
B 48 D 72 D 10
© Penerbitan Pelangi Sdn. Bhd. 26
Mathematics Year 5 Practice 4 Time
1 2 3
13. 3 days – day = _______ hours 17. Zahirah takes hour to read a storybook.
6 3 HOTS 4
A 16 C 60 Applying How much time will be taken by Zahirah
B 56 D 90 to read two similar storybooks?
A 45 minutes C 135 minutes
14. 45 seconds – 0.25 minute = _________ B 90 minutes D 180 minutes
seconds
A 30 C 60 18. The diagram below shows the time Encik
B 50 D 70 Bakar began taking orders for banana
chips.
15. 25 years + 2 decades 3 years
Island. Praktis GO! MATHEMATICS 5, 版权所有·侵权必究
=______ decades
A 480 C 4.8
B 48 D 4
Problem Solving
4.4 He completed taking all the orders at
4:00 p.m.. What is the duration of time he
16. Puan Maria attended a course at a public worked?
university. The course began on 3 January A 8 hours
2020 and ended on 3 June 2020. What is
the duration of the course? B 8 hours 30 minutes
A 153 days C 9 hours
B 152 days D 9 hours 30 minutes
C 127 days
D 126 days
Subjective Questions
Instruction: Answer all questions. Show your workings and write the answers in the space provided.
1. Dania arrived at Langkawi Island on 2. Father’s age is 5 7 decades while
23 May 2020 at 3:45 p.m.. She was 10
2
in Langkawi Island until 25 May 2020, mother’s age is 5 decades. Calculate
5
11:45 a.m.. Calculate the duration, in the their total age, in decades and years.
days and hours, Dania was at Langkawi
PL 1 PL 4
27 © Penerbitan Pelangi Sdn. Bhd.
Mathematics Year 5 Practice 4 Time
3. The duration of time taken by Uranus to (b) Calculate the difference in the duration
make a complete cycle around the sun is of time, in minutes, taken by Puan
84 years. PL 4 Suzie and Puan Julia to f nish baking
(a) State the duration, in decades and their cakes.
years.
Praktis GO! MATHEMATICS 5, 版权所有·侵权必究
(b) Calculate the duration of time taken 5. The total age of Adam and his grandfather
HOTS
by Uranus to make 5 complete cycles Applying is 8 decades. Adam’s grandfather’s age
around the sun. Give your answer in is thrice his age. What is the difference in
centuries and years. age between Adam and his grandfather?
State the answer in years. PL 4
4. The table below shows the duration of time
HOTS
Analysing taken by 3 participants in a cake baking 6. In 4 years’ time, the total age of Ricky and
competition. PL 4 HOTS 1
Applying Josh is 46 years. Ricky’s age now is of
Participants Duration of time Josh’s age. PL 5 5
Puan Aminah 30 minutes later than (a) Calculate Ricky’s age now, in months
Puan Suzie and years.
1
Puan Suzie 4 hours
3
Puan Julia 3.75 hours
(a) What is the duration of time, in hours
and minutes, taken by Puan Aminah
to f nish baking her cake? (b) What is Josh’s age now, in months
and years?
© Penerbitan Pelangi Sdn. Bhd. 28
Mathematics Year 5 Practice 4 Time
HOTS Practice
1. A group of workers takes 368 hours to build 10 f sh ponds. Determine the duration of time,
in days and hours, that they need to build 100 f sh ponds.
Praktis GO! MATHEMATICS 5, 版权所有·侵权必究
2. A housing project will be carried out in 5 phases. The table below shows the duration for
building each phase.
Phase Duration of time
1 1 year
2 2 extra years than phase 1
3 4 years
4 5 years
5 Twice the duration of time for phase 3
(a) Calculate the duration for phase 5.
(b) Which phase needs the longest time?
(c) Calculate the total duration of the project. Give your answers in decades and years.
29 © Penerbitan Pelangi Sdn. Bhd.
Mathematics Year 5 Practice 4 Time
3. Mr. Chang is now 5.2 decades old. 1 decade later, his eldest child’s age would be half of his
age.
(a) State Mr. Chang’s age now, in decades and years.
(b) How old is his eldest child now, in years?
Praktis GO! MATHEMATICS 5, 版权所有·侵权必究
(c) Calculate their total age now, in years.
Reinforcement
Practice 4
Instruction: Answer all questions.
1. 7 centuries 45 years + ______ years Determine the duration of time for music
= 10 centuries 20 years class.
A 175 C 745 1 1
B 275 D 765 A 2 hours C 1 hours
2
2
2. The table below shows the classes B 2 hours D 1 hours
1
1
attended by Kasim in a week. The duration 4 4
of music class is not shown.
Total 3. The construction of a building began on 10
Class Duration
duration March 2019. The building was completed
1 hour after 8 months and 9 days. When was the
Taekwondo
30 minutes building completed?
1
Music 5 hours A 18 October 2019
2 B 19 October 2019
1
Swimming 1 hours C 18 November 2019
2
D 19 November 2019
© Penerbitan Pelangi Sdn. Bhd. 30
Mathematics Year 5 Practice 4 Time
4. The table below shows the incomplete (c) During the drama, advertisements
off cial departure and arrival time of two were broadcast several times.
aircraft. The total amount of time the
advertisements were broadcast
Departure
Aircraft Arrival time is 3 minutes. The duration of
time time for each advertisement is 45
X 0710 0855 seconds. How many times were the
Y 2030 advertisements broadcast throughout
The duration of time taken by both the programme?
aircrafts to arrive at airport S is the same.
Praktis GO! MATHEMATICS 5, 版权所有·侵权必究
Calculate the arrival time of aircraft Y
whose departure was delayed by
20 minutes.
A 2055 hours
B 2235 hours
C 0855 hours 6. The diagrams below show the time a
D 0915 hours session of Jim’s badminton practice started
5. The table below shows part of a broadcast and ended on an afternoon.
time of a television channel.
Broadcast
time Programme
7:30 a.m. General News
8:30 a.m. Documentary Start End
9:00 a.m. Drama
(a) Calculate the duration of time Jim
10:30 a.m. Entertainment played badminton.
11:00 a.m. Educational programme
12:30 a.m. Cookery programme
(a) State the programme that is broadcast
for an hour.
(b) On a particular day, Jim had to attend
two sessions of badminton practice
with a 30 minute break. What time
did his badminton practice end on
that day?
(b) Calculate the total broadcast duration
for the documentary and the
educational programme.
31 © Penerbitan Pelangi Sdn. Bhd.
ANSWERS
PAK-21 Activity Yes, Puan Jamilah succeeded to achieve her target.
Reinforcement
3. (a) Carrot (b) Cucumber Practice 1
(c) Long bean (d) (3, 2) 1. D 2. C 3. A 4. C
(e) (8, 1) (f) (8, 3) 5. (a) 2 000 (b) 7 196
(g) Mustard (h) Pumpkin 6. (a) 13 568 (b) 35 800
(i) Brinjal
Praktis GO! MATHEMATICS 5, 版权所有·侵权必究
7. 153 oranges
Practice 1 Whole Numbers and Operations 8. (a) 10 209 (b) RM719 085
Objective Questions Practice 2 Fractions, Decimals and Percentages
1. D 2. B 3. D 4. B 5. A Objective Questions
6. A 7. C 8. B 9. C 10. A 1. B 2. C 3. A 4. B 5. D
11. C 12. B 13. B 14. A 15. B
16. C 17. D 18. C 19. D 20. B 6. C 7. B 8. B 9. D 10. B
15. B
21. B 22. D 23. A 24. C 25. C 11. D 12. A 13. B 14. C 20. C
18. C
19. D
17. A
16. B
26. C 27. B 28. D 29. B 30. A 21. B 22. B 23. A 24. A 25. C
31. C 32. C 33. C 34. A 35. D
36. A 37. D 26. D 27. C 28. A 29. B 30. B
31. C 32. A 33. D 34. C 35. C
Subjective Questions 36. A 37. D 38. B
1. (a) Nine hundred seventy-eight thousand six Subjective Questions
hundred and nine
(b) 532 820 1. (a) R : 90% (b) 60
2. (a) 865 210 (b) 102 568 S : 240%
3. (a) 2, 3, 5, 7, 11, 13, 17, 19 2. 7.576
(b) 500 000 + 40 000 + 8 000 + 200 + 60 + 7 3. (a) 90 (b) 180
4. (a) 2, 3, 5, 7, 11, 13, 17, 19 4. (a) 2.85 kg (b) Milk powder X
(b) It is because the numbers can be divided by 5. 0.415 ℓ
other number. 6. (a) 55% (b) 135
5. (a) 800 000 HOTS Practice
(b) 756 120, 756 113, 756 106, 756 099
6. (a) 3 200 mℓ (b) 1 600 mℓ 1. (a) False (3).
7. (a) X : 324 564 (b) X : 123 490 The number of pencils taken by Ahmad
1
Y : 324 566 = × 128 = 16
8
8. (a) 135 935 cupcakes (b) 266 200 cupcakes The balance of pencils
9. (a) 85 049 f sh (b) 105 869 f sh = 128 – 16 = 112
10. (a) The number of container of tomatoes The number of the pencils given to Adam and
(b) B = number of containers of tomatoes Arif
9 × B = 12 204 = 112 ÷ 2 = 56
11. (a) 1 542 packets of sugar Therefore, Adam and Arif each received 56
(b) 257 packets of sugar pencils.
12. (a) 520 buttons (b) 20 buttons (b) True (3).
56 = 7
HOTS Practice 128 16
1. 152 000 boxes of juice 2. (a) 0.065 kg
2. March: 30 567 + 1 376 = 31 943 (b) 0.39 kg
May: 31 943 + 1 402 = 33 345
A1 © Penerbitan Pelangi Sdn. Bhd.
Mathematics Year 5 Answers
3
4. (a) 1 296 cm (b) Cuboid Subjective Questions
(c) 432 cm
3
1. (a) The value that appears the most
HOTS Practice (b) The middle value
(c) The average of the values of data
1. (a) 31 m (b) RM130.20
2
(d) The difference between the maximum value and
Reinforcement minimum value.
Practice 6 2. (a) 9 (b) 17
1. B 2. A 3. B 4. C 3. (a) 50 (b) 12.5
5. (a) 1 500 m (b) RM17 160 4. (a) 25 (b) 15
2
6. (a) 24 cm (b) 42 cm 5. (a) 6
2
2
7. (a) M: Cuboid (b) 245 cm 3 (b) Favourite food of pupils
10. 16 kg Praktis GO! MATHEMATICS 5, 版权所有·侵权必究
N: Cube 5 Bestari
7
Practice 7 Coordinates, Ratio and Proportion 6
Objective Questions 5
1. C 2. A 3. B 4. C 5. C Number of pupil 4
6. D 7. B 8. A 9. B 10. A 3
11. C 12. B 13. B 14. B 15. D 2
16. C 1
Subjective Questions Food
0
1. (a) Porridge Chicken Nasi Roti
Horizontal distance Vertical distance rice lemak canai
4 units 2 units HOTS Practice
(b) 14 km 1. (a) The number of stamps owned by 4 pupils
2. (a) 1 : 3 (b) 1 : 9
(c) 9 : 5 Arif
3. (a) 7 : 23 (b) 7 : 30 Yana
4. (a) 13 : 17 (b) 11 : 19
5. (a) RM181.50 (b) RM555 Leo
HOTS Practice Wani
1. (a) 16 : 15
(b) 19 : 50 Key: represents 5 stamps
(b) Leo (c) 22.5
Reinforcement 7
Practice Reinforcement
1. B 2. D 3. A 4. A 5. D Practice 8
2. B
6. B 1. B (b) 120 male pupils
3. (a) Badminton
7. (a) (8, 5) (b) 2 units 4. (a) 4 kg
8. (a) 2 : 3 (b) 9 : 4 (b) Mass of items bought by Mr. Heng
9. 4 hours
7
11. 240 km
6
Practice 8 Data Handling 5
Objective Questions Mass (kg) 4
3
1. C 2. B 3. A 4. A 5. C 2
6. D 7. B 8. B 9. C 10. A
11. B 12. A 13. A 14. C 15. C 1
16. C 0 Sugar Rice Flour Powdered Item
milk
A3 © Penerbitan Pelangi Sdn. Bhd.
Mathematics Year 5 Answers
9. (a) 20 cm 2
Year-end Assessment (b) Width = 4 cm
Height = 5 cm
Paper 1 Accept any pairs of measurement that give the
1. C 2. B 3. B 4. C 5. A product of 20 cm .
2
6. B 7. C 8. C 9. B 10. D 10. (a) 5 : 10
11. A 12. D 13. B 14. B 15. A (b) RM30
16. C 17. D 18. D 19. A 20. A 11. (a) 40 kg
21. B 22. D 23. B 24. C 25. B (b) 40 kg
26. D 27. C 28. C 29. B 30. B (c) 25 kg
31. C 32. C 33. B 34. B 35. B 12. (a) 0.34 ℓ
36. D 37. D 38. C 39. B 40. A (b) 110 mℓ
Praktis GO! MATHEMATICS 5, 版权所有·侵权必究
(c) 2.25 ℓ
Paper 2 35
1. (a) 470 000 13. (a) Netball: 100 × 120 = 42
(b) 7 000 20
2. (a) Badminton: 100 × 120 = 24
42 – 24 = 18.
Therefore, the statement is false.
(b) 44 pupils
14. (a) Simple interest
(b) RM124.86
(c) Encik Murad will get a higher return if he
maintains his savings in a long term.
15. (a) 40 cakes
(b) 9 or 3 (b) The number of cake
12 4 according to flavour
Accept any correct answers. Number of cakes
1
3. (a) 4 007 522, 4 million, 4 563 630, 4 563 700, 15
4 632 433 5 14
13
1
(b) 4 million 12
5 11
4. (a) 115° 10 9
(b) Has 5 vertices 8
(Accept any reasonable answers.) 7
6
5. (a) 5:30 a.m. 5
(b) 4
3
2
1
0 Cakes flavour
Chocolate Pandan Cheese
(c) 56 hours Strawberry
6. (a) 1706 hours
(b) 1227 hours; Yellow bus (c) 10 cakes
7. (a) 690 pieces
(b) 220 pieces
8. (a) 53.65 kg
3
(b) = 0.75 kg
4
53.65 kg + 0.75 kg = 54.4 kg
54.4 kg – 54.3 = 0.1 kg or 100 g
Proven.
© Penerbitan Pelangi Sdn. Bhd. A4
PRAKTIS GO! KSSR series features TYPC255032
various practices to supplement
the textbooks. These practices are
useful as enrichment materials and
formative assessments to gauge
pupils’ learning. The concept of
HOTS is also incorporated in the
practices to fulf l the latest
requirements.
A summative assessment
is also provided to assess
pupils’ overall achievement.
Subject/ English Mathematics Science
Year This series is indeed the best
choice to enhance teaching
1
and learning in the subject.
2
KSSR
3 KURIKULUM STANDARD SEKOLAH RENDAH
SEMAKAN
4 STANDARD KUALITI
5
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