Perfect PBD Mathematics Year 5

Perfect PELANGI
PBDPentaksiran Bilik Darjah
5Year
Penerbitan Pelangi Sdn Bhd. All Rights ReservedPBD FokusKSSR

• Fulfil the requirements of

Pentaksiran Bilik Darjah
• Based DSKP
• Based on Textbook
• Integrates PAK-21

& PdPc

UPSR Fokus Mathematics

100% Practice
towards UPSR

INFO HOTS Leow Yong Wei

CONTENTS

Rekod Pencapaian Pentaksiran Murid Penerbitan Pelangi Sdn Bhd. All Rights Reserved (iii) - (iv)

UNIT 1 Whole Numbers and Operations 1
UNIT 2 Fractions, Decimals and Percentages Online Quick Quiz QR code 25
UNIT 3 Money
UNIT 4 Time 27
UNIT 5 Length, Mass and Volume of Liquid Online Quick Quiz QR code 41
UNIT 6 Space
UNIT 7 Coordinates, Ratio and Proportion 43
UNIT 8 Data Handling Online Quick Quiz QR code 56

Pre-UPSR Model Paper 58
Answers Online Quick Quiz QR code 71

73
Online Quick Quiz QR code 90

92
Online Quick Quiz QR code 104

106
Online Quick Quiz QR code 119

121
Online Quick Quiz QR code 131

133 – 148

A1 - A8

© Penerbitan Pelangi Sdn. Bhd. ii

unit Date: ......................................
Theme: Numbers and Operations
2
Fractions, Decimals and
Percentages

Smart Notes
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1. Solving fraction and mixed number.

Case 1: 1 × 2 = 1 ×2 Case 2: 3 × 1 3 = 3 × 7 convert to improper
5 5 4 4 fraction

= 2 = 21 convert the answer to a
5 4 mixed number

= 5 1
4

Case 3: 1 × 1 = 1 × 1 numerator × numerator Case 4: 1 1 × 1 1 = 3 1 7 2 reduce 3 and 6
2 3 2 × 3 denominator × denominator 2 6 2 6 by multiple of 3
×

= 1 = 7
6 4

= 1 3
4

2. Rounding off decimal numbers Round off 3.7258 to 3 decimal places
2 decimal places
1 decimal place +1
+1
+0 3.7258 → 3.726
3.7258 → 3.73
3.7258 → 3.7

3. Addition and subtraction of decimals (b) 9 – 1.234 =
(a) 2.3 + 4.18 =

2.3 0 add zero at the empty 8 9 9 10 Common mistake:
+ 4.1 8 place value to make
calculations easier 9.0 0 0 9.
6.4 8 – 1.234 – 1.234
the decimal points are
Teacher’s Signature: arranged in one straight 7.7 6 6 8.2 3 4

line Date:

27 © Penerbitan Pelangi Sdn. Bhd.

Mathematics Year 5 Unit 2 Fractions, Decimals and Percentages

4. Multiplications of decimals

(a) 3 × 4.58 = regroup when the (b) 10 × 0.456 = 4.56
total multiplication is
12 when a decimal point is multiplied with 10, 100 or
10 or more 1 000, the decimal point will be moved once, twice or
4.5 8 thrice to the right based on the “number of zeroes”
×3 the decimal point of the
answer based on the
13.7 4
number of decimal points
in the question

Penerbitan Pelangi Sdn Bhd. All Rights Reserved5. Divisions of decimals

(a) 6.3 ÷ 2 = place the decimal point in (b) 14.58 ÷ 10 = 1.458
the answer according to the
3. 1 5 decimal point in the question when a decimal point is divided with 10, 100 or
1 000, the decimal point will be moved once, twice or
2 6. 3 0 add 0 to continue dividing
–6 if that has a remainder thrice to the left based on the “number of zeroes”
03
–2
10
–1 0
0

6. Converting mixed number to percentage and vice versa.

(a) A mixed number can be converted to a percentage based on the following steps.

(i) Multiply the whole number and the fraction with 100% separately.

Example 1 : 2 3 = (2 × 100%) + ( 3 × 20 %)
5 5
1 100

= 200% + (3 × 20%)
= 200% + 60%

= 260%

(ii) Conversion table that must be memorised:

1 1312341
2 4 4 5 5 5 5 10

50% 25% 75% 20% 40% 60% 80% 10%

(b) Percentage can be converted to a mixed number based on the following steps.
(i) Divide the percentage with 100% separately
(ii) Simplify the fraction if needed.

Example 2 : 325% = 300% + 25%

=3 300% + 25% 1
100% 100% 4

= 3 1
4

7. Value of a quantity in a percentage INFO

(a) 20% of 50 = (b) 120% of 50 =

20% of 50 120% of 50

= 20 × 50 value of percentage (20%) < 100%, = 120 × 50 value of percentage (120%) > 100%,
100 answer < 50 100 answer > 50
Teacher’s Signat=ur1e0:
= 60 Date:

© Penerbitan Pelangi Sdn. Bhd. 28

Mathematics Year 5 Unit 2 Fractions, Decimals and Percentages

PBD Module DSKP Practice Achieved Textbook Pages: 65 – 69

2.1 Fractions Not yet achieved

Performance Level (PL)

PL 1: Read number sentences involving fractions, decimals and percentages.
PL 3: Multiply fractions involving whole numbers, proper fractions and mixed

numbers.

1. Solve the following multiplications. L.S. 2.1.1 PL 1 PL 3
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(a) 2 × 3 (b) 7 × 2 (c) 2 1 × 5
7 8 4

= = =

(d) 1 × 4 (e) 2 × 3 (f) 3 1 × 3
6 7 9 4 2 4

= = =

(g) 5 × 1 1 (h) 1 2 × 4 1 (i) 1 1 × 2 1
6 2 5 2 3 6

= = =

Teacher’s Signature: Date:
29 © Penerbitan Pelangi Sdn. Bhd.

Mathematics Year 5 Unit 2 Fractions, Decimals and Percentages

2.2 Decimals Achieved Textbook Pages: 70 – 79

Performance Level (PL) Not yet achieved

PL 2: Round off decimals. L.S. 2.2.1 PL 2

2. Round off the following decimals according to its given place value. three decimal
places
one decimal two decimal
place places

Penerbitan Pelangi Sdn Bhd. All Rights Reserved(a) 0.2915
(b) 1.3266
(c) 2.0874
(d) 3.5678
(e) 4.9139

3. Complete the following bridge maps. Bridge map L.S. 1.2.1 PL 2

round off to 0.4293 kg 2.1564 kg 4.8652 kg 6.3571 kg
1 decimal (a)
as as as
place
(b) (c) (d)
Relating
factor

round off to 1.075  3.4068  5.9176  7.2405 
2 decimal
as as as
places
(f) (g) (h)
Relating
factor (e)

round off to 8.1357 m 6.3618 m 4.6854 m 2.7749 m
3 decimal
as as as
places
(j) (k) (l)
Relating
factor (i)

Teacher’s Signature: Date:
30
© Penerbitan Pelangi Sdn. Bhd.

Mathematics  Year 5  Unit 2 Fractions, Decimals and Percentages   

Performance Level (PL) Achieved Not yet achieved

PL 1: Read number sentences involving fractions, decimals and percentages.

PL 3: Justify the answer in solving basic operations and mixed operations
number sentences involving decimals.

4. Solve the following mixed operations. L.S. 2.2.2 PL 3
(a) 1.5 + 7.65 – 3.9 =
(b) 5.2 – 1.38 + 2.7 =

(c) 4.36 – 2.8 + 5.991 =Penerbitan Pelangi Sdn Bhd. All Rights Reserved(d) 3.2 + 4.97 – 6.265 =

(e) 2.49 + 8.5 – 1.564 = (f) 9.1 – 7.265 + 5.05 =

Teacher’s Signature: Date:

31 © Penerbitan Pelangi Sdn. Bhd.

Mathematics Year 5 Unit 2 Fractions, Decimals and Percentages Achieved Not yet achieved

Performance Level (PL)

PL 1: Read number sentences involving fractions, decimals and percentages.
PL 3: Justify the answer in solving basic operations and mixed operations

number sentences involving decimals.

5. Solve the following multiplication and division. L.S. 2.2.3 L.S. 2.2.4 PL 1 PL 3

(a) 4 × 1.63 = (b) 6.423 × 5 = (c) 15 × 4.132 =

(d) 86.048 ÷ 2 =Penerbitan Pelangi Sdn Bhd. All Rights Reserved(e) 26.3 ÷ 20 =(f) 431.145 ÷ 15 =

6. Complete the following bridge maps. Bridge map L.S. 2.2.3 L.S. 2.2.4 PL 3

equals to 10 × 0.267 100 × 0.085 0.0461 × 1 000
Relating factor (a)
as as

(b) (c)

equals to 5.8 ÷ 10 47.1 ÷ 100 31.2 ÷ 1 000
Relating factor (d)
as as

(e) (f)

Teacher’s Signature: Date:
32
© Penerbitan Pelangi Sdn. Bhd.

Mathematics Year 5 Unit 2 Fractions, Decimals and Percentages

2.3 Percentages Textbook Pages: 80 – 83

Performance Level (PL) Achieved Not yet achieved

PL 2: Convert fractions and mixed numbers to percentages.

7. Convert the following mixed numbers to percentage. L.S. 2.3.1 PL 2

(a) 3 1 (b) 1 3 (c) 4 1
2 4 5

= = =
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(d) 2 7 (e) 1 1 (f) 5 2
10 4 5

= = =

8. Convert the following percentages to mixed numbers. L.S. 2.3.1 PL 2

(a) 140% (b) 230% (c) 350%
= = =

(d) 480% (e) 775% (f) 920%
= = =

Teacher’s Signature: Date:
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  Mathematics  Year 5  Unit 2 Fractions, Decimals and Percentages

Performance Level (PL) Achieved Not yet achieved

PL 3: Calculate quantity of a percentage and vice versa.

9. Calculate the quantity based on the given percentage. L.S. 2.3.2 PL 3

(a) 20% of 100 (b) 45% of 240 (c) 90% of 400
= = =

Penerbitan Pelangi Sdn Bhd. All Rights Reserved(d) 10% of 30(e) 5% of 90 cakes(f) 60% of 250 marbles
= = =

(g) 140% of RM120 (h) 125% of 360 kg (i) 180% of 4 
= = =

10. Find the percentage for the following quantities. L.S. 2.3.2 PL 3

(a) 20 of 100 (b) 162 of 360 (c) 390 of 500
= = =

(d) 78 men of 260 people (e) 520 red apples of 400 (f) 688 exercise books of
= apples 320 reference books

= =

(g) RM288 of RM120 (h) 153 g of 60 g (i) 3 150 m of 900 m
= = =

Teacher’s Signature: Date:

© Penerbitan Pelangi Sdn. Bhd. 34

Mathematics Year 5 Unit 2 Fractions, Decimals and Percentages

2.4 Problems solving Achieved Textbook Pages: 84 – 87

Performance Level (PL) Not yet achieved

PL 4: Solve daily routine problems involving fractions, decimals and
percentages.

PL 5: Solve daily routine problems involving fractions, decimals and
percentages using various strategies.

11. Solve the following problems. Applications L.S. 2.4.1

(a) The diagram below shows five equal boxes. There are several boxes that are shaded in
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reds as per shown in the diagram. PL 4

Auni shades 1 of the unshaded boxes with green. Calculate the fraction of the box that
2
is shaded with green from the whole diagram.

(b) Mei Ling purchases 2 1 m of cloth. She uses 4 of the cloth to make a blouse. What is
4 5
the length of the cloth, in m, that is used to make the blouse?
PL 4

(c) The diagram below shows a conversation between two brothers. PL 5

Our sister has poured The original volume of the
2se–53veraolf corn juice is 1–21 times the
corn juice into volume of corn juice that has
glasses. been poured into the glasses.

Hasif Naim

Calculate the original volume of the corn juice prepared by their sister.

Teacher’s Signature: Date:
35 © Penerbitan Pelangi Sdn. Bhd.

Mathematics Year 5 Unit 2 Fractions, Decimals and Percentages Achieved Not yet achieved

Performance Level (PL)

PL 4: Solve daily routine problems involving fractions, decimals and
percentages.

PL 5: Solve daily routine problems involving fractions, decimals and
percentages using various strategies.

12. Solve the following problems. Applications L.S. 2.4.1
PL 4
(a) The table below shows the temperature in a lab.

Time Temperature
Morning 29.7 ºC
Afternoon
Increased 3.8 ºC
Night Decreased 7.6 ºC
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Calculate the temperature in the lab at night.

(b) It is given that the mass of box P is 4.625 kg whereas the mass of box Q is 3 times the

mass of box P. PL 4

(i) What is the mass of box Q?

(ii) Round off the answer in (i) to two decimal places.

(c) The diagram below shows the distance between location E and location F.

82.16 km FG

E

It is given the distance from E to F is 5 times the distance from F to G. Calculate, in km

and m, the distance from F to G. PL 5

Teacher’s Signature: Date:
36
© Penerbitan Pelangi Sdn. Bhd.

Mathematics Year 5 Unit 2 Fractions, Decimals and Percentages

Performance Level (PL) Achieved Not yet achieved

PL 4: Solve daily routine problems involving fractions, decimals and
percentages.

PL 5: Solve daily routine problems involving fractions, decimals and
percentages using various strategies.

PL 6: Solve daily non-routine problems involving fractions, decimals and
percentages creatively and innovatively.

13. Solve the following problems. Applications L.S. 2.4.1

(a) The diagram below shows a piece of card divided into several equal parts.

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(i) 40% of all the parts above has been cut by Naufal. How many pieces have been

cut? PL 4

(ii) 50% of the remaining parts above is shaded by Ah Meng. Find the number of

shaded parts by Ah Meng. PL 5

(b) The total number of reference books in the library is 3 000. 60% of the total books are

Mathematics reference books.

(i) Calculate the number of Mathematics reference books in the library. PL 4

(ii) 20% of the Mathematics reference book has been borrowed. How many Mathematics

reference books are still left in the library? NRoon-utine PL 6

PERFORMANCE LEVEL ✓ 1 23456
Teacher’s Signature: Date:

37 © Penerbitan Pelangi Sdn. Bhd.

Mathematics Year 5 Unit 2 Fractions, Decimals and Percentages

Date: ......................................

PBD Module UPSR Practice 2
Paper 1

1. The place value of digit 4 in the number 8. Which of the following shows 30% shaded
UPSR area of the total number of boxes?
2.046 is 2017 A

A tenth C tens B

B hundredth D hundreds C

D
2. 94.316 +Penerbitan Pelangi Sdn Bhd. All Rights Reserved– 27.38 = 125.233

UPSR What is the number that should be written
2018 in the
?

A 30.907 C 66.936
B 58.297 D 97.853

3. CAonve6r3t 06%34 to percentage.
C 640%

B 634% D 675%

4. 12% × 4 600 = C 552
A 5.52 D 5 520
B 55.2

5. The diagram below shows two rectangles
UPSR of equal size. Each of the rectangle is
2016 divided into several equal parts.

9. 84.61 – 55.2 + 37.095 =

UPSR A 29.41 C 66.41
2019 B 29.505 D 66.505

Calculate the total percentage of the 10. 325% =

shaded area in both rectangles. UPSR A 3 1 C 3 2
2019 4 5
A 120% C 160%

B 140% D 180% B 3 3 D 3 4
4 5
6. Which of the following equations is
UPSR correct? 11. 2 1 × 39 =
2017 A 15% × 600 = 99 3
UPSR A 13 C 79
B 25% × 500 = 12.5 2017 D 91
C 35% × 400 = 140 B 54
D 45% × 300 = 13.5
12. 820 × 3 =
4
7. 3 × 5.164 = UPSR
UPSR A 15.292 C 15.492 2017 A 205 C 615
2018 B 15.392 D 15.592 D 805
B 415

© Penerbitan Pelangi Sdn. Bhd. 38

Mathematics Year 5 Unit 2 Fractions, Decimals and Percentages

13. The diagram below shows a number 16. The table below shows the scores of
UPSR card. UPSR athletes of a school. Ahmad’s score is
2019 not shown.
2019
Athlete Score
8.707 Him Seng 8.65

Round off the decimal number to two Ahmad 8.402
Muthu 25.752
decimal places. Total

A 8.07 C 8.77

B 8.71 D 8.707

14. The diagram below shows several places.
Penerbitan Pelangi Sdn Bhd. All Rights Reserved Calculate Ahmad’s score.
UPSR Fauzi’s A 8.07
2017 house B 8.7
C 8.77
Restaurant D 8.707

7.152 km School

The distance from Fauzi’s house to the 17. There are 4 beakers of equal size. Each
UPSR beaker can be filled with 0.65  of water.
school is 3 times the distance from the 2016 What would be the total volume of water,

school to the restaurant. What is the in , that could fill all of the beakers?
A 2.06
distance, in km, from his house to the B 2.066
C 2.6
restaurant? D 2.66

A 2.384 C 9.384

B 2.536 D 9.536

15. Haikal jogs 43.05 km in a week. Every

UPSR day his jogging distance is the same. 18. There are 120 lemons in a basket. 20%
2018 Calculate the distance, in km, Haikal’s
UPSR of the lemons have spoiled. Calculate the
daily jogging distance. 2017 number of good lemons.

A 6.015 C 6.15 A 24 C 69

B 6.105 D 6.115 B 42 D 96

Paper 2

1. The diagram below shows a conversation between Imran and Daim.

UPSR
2016

The scale shows that my My mass is 3.69 kg
mass is 45.27 kg. What is lesser than your
your mass, Daim? mass.

Imran Daim

(a) Based on the conversation, calculate their total mass in kg. [2 marks]

39 © Penerbitan Pelangi Sdn. Bhd.

  Mathematics  Year 5  Unit 2 Fractions, Decimals and Percentages [1 mark]

(b) Round off the answer in 1(a) to one decimal place.


2. Pak Hisham has collected 480 eggs. 1 of the total eggs is grade A and the balances are
grade B and grade C. 4
UPSR
201 7 (a) Calculate the number of grade A eggs.
[2 marks]

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(b) The number of grade B eggs is 1 21 of the number of grade A eggs. Calculate the
number of grade C eggs that was collected by Pak Hisham. [3 marks]

3. The length of a rope is 450 cm. The rope is then cut into two parts of P and Q. The length of
UPSR rope P is 25% of the original length of the rope. Calculate the length, in cm of rope Q.
201 8 [3 marks]


4. The price of a bicycle is RM380. A bicycle store sold the bicycle for a discount of 20%.

UPSR Calculate the payable amount. [3 marks]
2019

© Penerbitan Pelangi Sdn. Bhd. 40

Mathematics Year 5 Unit 2 Fractions, Decimals and Percentages

5. The pie chart below shows the percentage of Mr. Lim’s income usages for one month. The
UPSR percentage for saving is not shown.

2017

Multipurpose

expenses

20% Daily

Saving necessities
40%

Penerbitan Pelangi Sdn Bhd. All Rights ReservedHouse
rent
20%

(a) What is the percentage of saving for every month? [1 mark]

(b) Mr. Lim’s monthly income is RM6 950. Calculate his total saving for every month.
[3 marks]

HOTS Practice

HOTS Analysing

Daim mixed some chemical solution into water to conduct an experiment. The volume of water
is 450% of the volume of the chemical solution. It is given that the total volume of the chemical
solution is 1 925 m, find the volume of water that was used by Daim.

HOTS

41 © Penerbitan Pelangi Sdn. Bhd.

Mathematics Year 5 Unit 2 Fractions, Decimals and Percentages

21st Century Learning

ACTIVITY

Unit 2 Fractions, Decimals and Percentages

Round Table

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The teacher prepares 12 mixed number cards and percentage cards for each group. The card
received by each group will be recorded into a table as seen below.

Instruction:
‫ ܨ‬The pupils are divided into several groups.
‫ ܩ‬Each group member will take turns to provide a response in terms of changing the mixed

number to percentage and vice versa.
‫ ܪ‬Each group will then present the activity.

No. Mixed number Percentage No. Mixed number Percentage
540% 07 425%
01 3 1 180% 08
2 910% 09 750%
10 4
02 11 1 5 320%
12
03 2 3
4
3
04 5 10

05 4 5
8
1
06 6 4

Example of the activity:

No. Mixed number Percentage No. Mixed number Percentage
350% 07 425%
01 3 1 540% 08 4 1 180%
2 275% 09 4 750%
2 180% 10 4 530%
02 5 5 462.5% 11 1 5 320%
910% 12 625%
03 2 3 7 1
4 2
4 3
04 1 5 5 10

05 4 5 3 1
8 5
1 1
06 9 10 6 4

Teacher’s Signature: Date:

© Penerbitan Pelangi Sdn. Bhd. 42

Mathematics Year 5 Unit 6 Space Date: ......................................
Theme: Measurement and Geometry
unit

6 Space

Smart Notes
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1. The characteristics of regular polygons.

Symmetrical axis

Interior angle

Side Diagonal

A straight line that
connects two
opposite vertices

Vertex

2. 2-dimensional composite shape.

• Perimeter
Perimeter is the total length of the outer sides of a two-dimensional composite shape.

b
af

c

e g
d

Perimeter = a + b + f + g + d + e

• Area

• Total surface that is connected by the sides of a 2-dimensional shape.

• Formula of area of a quadrilateral Formula of area of a triangle
= Length × Width 1
= 2 × Width × Height

3. 3-dimensional composite shape.

• Volume
• Volume is a space filled by a 3-dimensional shape.
• Formula of a cube and a cuboid
= Length × Width × Height

Teacher’s Signature: Date: INFO

© Penerbitan Pelangi Sdn. Bhd. 92

PBD Module DSKP Practice Mathematics Year 5 Unit 6 Space
6.1 Regular polygons Textbook Pages: 217 – 218

1. Complete the characteristics of the regular polygon below. L.S. 6.1.1

(a) (b) (c) (d)

Polygon

NamePenerbitan Pelangi Sdn Bhd. All Rights Reserved L.S. 6.1.1

Number of sides

Number of
vertices

Number of
angles

Number of
symmetrical axis

2. Draw and determine the number of diagonals for the following polygons.

(a) (b) (c)

(d) (e) (f)

Teacher’s Signature: Date:
93 © Penerbitan Pelangi Sdn. Bhd.

Mathematics Year 5 Unit 6 Space

6.2 Angles Textbook Pages: 219 – 220

Performance Level (PL) Achieved Not yet achieved

PL 2: Explain steps in measuring the angles in a regular polygon. L.S. 6.2.1 PL 2 PL 3
PL 3: Measure angles of regular polygons.

3. Measure the labelling angle in the following regular polygons.

(a) (b)

f

Penerbitan Pelangi Sdn Bhd. All Rights Reservede

e= f=
(d)
(c)
h
g

g= i h=
(e) (f)

i= j

Teacher’s Signature: j=

© Penerbitan Pelangi Sdn. Bhd. Date:
94

Mathematics Year 5 Unit 6 Space

6.3 Perimeter and area Achieved Textbook Pages: 221 – 225

Performance Level (PL) Not yet achieved

PL 1: Name shapes found in combination of two shapes.
PL 3: Calculate perimeter of combination of two polygons.

4. Name the shapes that make up the following composite shapes. Then, calculate the

perimeter of the composite shape. L.S. 6.3.1 PL 1 PL 3

(a) 3 cm 4 cm (b) 9 cm
4 cm
5 cm
4 cm
Shapes:
Penerbitan Pelangi Sdn Bhd. All Rights Reserved 9 cm 9 cm
9 cm 9 cm

9 cm 9 cm 9 cm

9 cm 9 cm
9 cm 9 cm

Shapes: 9 cm

Perimeter Perimeter
= =

(c) 6 cm 6 cm (d) 10 cm 3 cm
6 cm 13 cm 10 cm
3 cm 3 cm

6 cm 13 cm Shapes: 3 cm
6 cm
Shapes: 6 cm 3 cm

Perimeter Perimeter
= =

(e) 5 cm (f)
24 cm
5 cm 11 cm

5 cm 6 cm

Shapes: 5 cm

Perimeter Shapes: 14 cm
=
Perimeter
=

Teacher’s Signature: Date:
95 © Penerbitan Pelangi Sdn. Bhd.

  Mathematics  Year 5  Unit 6 Space

Performance Level (PL) Achieved Not yet achieved

PL 3: Calculate area of combination of two shapes involving quadrilaterals L.S. 6.3.2 PL 3
and triangles.

5. Calculate the area of the following composite shapes.

(a) 13 cm (b) 6 cm

5 cm 10 cm 8 cm

2 cm
Penerbitan Pelangi Sdn Bhd. All Rights Reserved 4 cm

(c) (d)

6 cm 9 cm 12 cm 10 cm
14 cm 20 cm
4 cm

(e) 13 cm (f)

5 cm

12 cm 5 cm

2 cm

12 cm

Date:

Teacher’s Signature: 96

© Penerbitan Pelangi Sdn. Bhd.

Mathematics Year 5 Unit 6 Space

6.4 Volume of solids Textbook Pages: 226 – 227

Performance Level (PL) Achieved Not yet achieved

PL 3: Calculate volume of combination of two shapes involving cubes and L.S. 6.4.1 PL 3
cuboids.

6. Calculate the volume of the following composite shapes.

(a) (b)

4 cm

Penerbitan Pelangi Sdn Bhd. All Rights Reserved 3 cm
5 cm

11 cm 20 cm

(c) 9 cm (d) 6 cm
10 cm
3 cm
5 cm
2 cm

4 cm

17 cm

(e) 2 cm (f) 11 cm 9 cm

6 cm 4 cm

3 cm

10 cm

Teacher’s Signature: Date:
97 © Penerbitan Pelangi Sdn. Bhd.

Mathematics Year 5 Unit 6 Space Achieved Textbook Pages: 228 – 231

6.5 Problems solving Not yet achieved

Performance Level (PL)

PL 4: Solve routine problems involving space.
PL 5: Solve routine problems involving space using various strategies.

7. Solve the following problems. Applications L.S. 6.5.1

(a) The diagram below shows a piece of cardboard cut by Amri.

Penerbitan Pelangi Sdn Bhd. All Rights Reserved 5 cm

It is given that the length of the rectangle is 3 times its width. Calculate the perimeter of

the cardboard, in cm, cut by Amri. PL 4

(b) The diagram below shows the plan of an area of a herb garden.

h

The plan of the herb garden is in the shape of a combination of two regular polygons.

(i) Name both polygons which form the plan of the herb garden. PL 4

(ii) It is given that the perimeter of the whole plan of the herb garden is 96 m. What is

the value of h? PL 5

Teacher’s Signature: Date:
98
© Penerbitan Pelangi Sdn. Bhd.

Mathematics Year 5 Unit 6 Space

Performance Level (PL) Achieved Not yet achieved

PL 4: Solve routine problems involving space.
PL 5: Solve routine problems involving space using various strategies.

8. Solve the following problems. Applications L.S. 6.5.1

(a) Haikal drew a composite shape of a rectangle and a triangle using the 1 cm grid boxes
as follows.

1 cm

1 cm
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Calculate the area, in cm2, of the composite shape in the diagram above. PL 4

(b) The diagram below shows a combination of a rectangle and a square.

12 cm

It is given that the whole area of the diagram is 252 cm2. Calculate, in cm, the length of

the rectangle in the diagram above. PL 5

Teacher’s Signature: Date:
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Mathematics Year 5 Unit 6 Space Achieved Not yet achieved

Performance Level (PL)

PL 5: Solve routine problems involving space using various strategies.
PL 6: Solve non-routine problems involving space creatively and innovatively.

9 . Solve the following problems. Applications L.S. 6.5.1

(a) The diagram below shows a combination of a cuboid, K and cube, L.

6 cm
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KL

It is given that the volume of the whole diagram is 324 cm3. Calculate, in cm3, the

volume of the cuboid, K. PL 5

(b) The diagram below shows the combination of a cuboid, E and a cube, F.

12 cm

12.5 cm E 10 cm
F

It is given that the volume of cuboid E is 3 times the volume of cube, F. Calculate in cm,

the length of cuboid E. NRoon-utine HOTS Applying PL 6

PERFORMANCE LEVEL ✓ 1 2 3 4 5 6

Teacher’s Signature: Date:

© Penerbitan Pelangi Sdn. Bhd. 100

Mathematics Year 5 Unit 6 Space
Date: ......................................

PBD Module UPSR Practice 6
Paper 1

1. Circle the number of vertices for a regular Circle the name of the polygon.
hexagon.
A5 C7 A pentagon C hexagon

B6 D8 B heptagon D octagon

7. How many diagonals are there in a
Penerbitan Pelangi Sdn Bhd. All Rights Reserved2. Which of the following polygons has 9
diagonals? heptagon?

A pentagon C hexagon A5 C 14

B heptagon D octagon B9 D 20

3. Circle the number of symmetrical axes for 8. Circle the number of sides for a regular

a regular octagon. hexagon.

A6 C8 A6 C8

B7 D9 B7 D9

4. Which of the following polygons has the 9. The diagram below shows a square, M
interior angle of 120°? and a rectangle, N.

A pentagon C hexagon 6 cm
B heptagon D octagon

5. The diagram below shows a combination 4 cm
of a rectangle and a regular octagon. M

6 cm N

Calculate the area, in cm2, of the

composite shape in the diagram above.

A 36 C 60

25 cm B 48 D 72

Calculate in cm, the perimeter of the 10. The diagram below shows a regular
composite shape in the diagram. pentagon.

A 42 C 79

B 67 D 98

6. The diagram below shows a regular m
polygon.

Measure and circle the value of m.

A 108º C 129º

B 120º D 135º

101 © Penerbitan Pelangi Sdn. Bhd.

Mathematics Year 5 Unit 6 Space

11. The diagram below shows a cuboid. A 36 C 68
UPSR Amir cuts a piece of cube shape from the B 50 D 86
2016 cuboid. The length of the cube side is the
13. Calculate the volume, in cm3, of two cubes
same with the height of the cuboid. combined that has the sides of 6 cm.
A 216
5 cm B 261
C 423
10 cm D 432

12 cm
Penerbitan Pelangi Sdn Bhd. All Rights Reserved 14. The diagram below shows a square.
How much is the volume left, in cm3, of UPSR Suzana wants to divide the square into
2019 several equal rectangles.
the cuboid?

A 125 C 475

B 350 D 600

12. The diagram below shows a combination 100 cm2
UPSR of a rectangle EFGH and a square KLMN.
It is given that the measurement of the
2018 rectangle is 2 cm in width and 5 cm in
length. Calculate the maximum number
E 5 cm F of rectangles that can be produced by
Suzana.
KL A 10
B 12
6 cm C 15
D 19
NM
HG

It is given that the length of EF = 1 EH.
2
Calculate the total area, in cm2, of the

composite shape.

Paper 2

1. The diagram below shows a combination of a regular hexagon and a rectangle.

18 cm

4 cm

h

(a) (i) Measure and write the value of interior angle of h. [1 mark]

© Penerbitan Pelangi Sdn. Bhd. 102

Mathematics  Year 5  Unit 6 Space   

(ii) Calculate and state the number of diagonals in the regular hexagon. [1 mark]

(b) Calculate the perimeter, in cm, of the composite shape in the diagram. [2 marks]


2. The diagram below shows a combination of a cube and a cuboid.Penerbitan Pelangi Sdn Bhd. All Rights Reserved

5 cm 2 cm

20 cm [3 marks]

Calculate the volume, in cm3, of the composite shape in the diagram.

3. The diagram below shows a rectangle and an isosceles triangle.

UPSR 13 cm
2017

10 cm

18 cm 12 cm

(a) Calculate the perimeter, in cm, of the composite shape in the diagram above. [2 marks]

103 © Penerbitan Pelangi Sdn. Bhd.

Mathematics Year 5 Unit 6 Space

(b) The area of the composite shape in the diagram is 240 cm2. Prove the statement.
[3 marks]

4. The diagram below shows two boxes of equal size in a cuboid shape made by Auni.

UPSR Penerbitan Pelangi Sdn Bhd. All Rights Reserved 2 cm
2018

8 cm

10 cm

Auni wants to insert several pieces of cube measuring 2 cm each side into both boxes.

Calculate the highest number of cubes that could fit into both boxes. [3 marks]

HOTS Practice

HOTS Analysing HOTS Applying

The diagram shows a combination of a rectangle P T
Q
and right-angled triangle. It is given that the

perimeter of PQRT is 48 cm and the length of RT is

1 daripada PT. Find the area of the whole diagram RS
3
in cm2.

HOTS

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Penerbitan Pelangi Sdn Bhd. All Rights Reserved Mathematics Year 5 Unit 6 Space

21st Century Learning

ACTIVITY

Unit 6 Space

Mix-n-Match

The teacher prepares several sets of polygons and cards that describe the characteristics of the
polygons.
Instruction:
‫ ܨ‬All the cards are mixed and put in several corners.
‫ ܩ‬Pupils are divided into several groups.
‫ ܪ‬Pupils start moving and look for the polygons together with its matching characteristic of the

chosen polygons.

Example of the activity and card sets:

5 equal sides
5 vertices
5 symmetrical axes
5 diagonals

6 equal sides
6 vertices
6 symmetrical axes
6 diagonals

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Mathematics Year 5 Answers

ANSWERS

UNIT 1 Whole Numbers and Operations 10. (a) 51 672 (b) 96 520
(c) 416 203 (d) 630 419
PBD Module DSKP Practice 11. (a) 164 023 (b) 731 028
(c) 800 416 (d) 268 310
1. (a) 312 458 (b) 904 784
(c) 730 606 (d) 245 811 12. (a) larger than
(b) smaller than

13. (a) 754 100
(b) 100 457
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(b)

(c) 14. (a) 123 156, 123 651, 132 156,
132 165, 132 615
(d) (b) 476 310, 476 301, 476 013,
467 130, 467 103
3. (a) 135 629 (b) 316 007 (c) 591 123, 591 213, 591 312,
(c) 571 803 (d) 835 414 915 132, 915 321
(d) 681 430, 681 403, 681 304,
4. (a) Two hundred eighty-one thousand three 681 043, 681 034
hundred and sixty-four (e) 209 146, 209 164, 209 416,
209 461, 209 614
(b) Four hundred sixteen thousand two (f) 516 432, 516 423, 516 342,
hundred and sixty-three 516 243, 516 234,

(c) Seven hundred eight thousand one hundred 15. (a) h = 164 325 ; k = 741 936
and sixty-four (b) h = 124 456 ; k = 126 456
(c) h = 340 579 ; k = 340 712
(d) Nine hundred nineteen thousand and ( Any correct answers are accepted.)
eighty
16. (a) m = 654 132 ; n = 249 615
5. (a) ten thousands, 30 000 (b) m = 390 621 ; n = 287 610
(b) thousands, 0 (c) m = 710 506 ; n = 700 000
(c) hundred thousands, 400 000 ( Any correct answers are accepted.)
(d) tens, 10
(e) hundreds, 800

6. (a) thousands, 8 000 17. (a) 123 456 ; 352 941
(b) tens, 70 (b) 594 637 ; 524 672
(c) ten thousands, 60 000 (c) 803 310 ; 937 416
(d) hundred thousands, 500 000 (d) 831 652 ; 823 615
(e) hundreds, 900 (Any correct answers are accepted.)

7. (a) 340 921 (b) 465 032
(c) 605 194 (d) 721 359

8. (a) 2 hundred thousands + 1 ten thousands + 9 18. (a) greater than 1
thousands + 3 hundreds + 6 tens + 7 ones (b) can only be divided by 1 and itself

(b) 5 hundred thousands + 7 ten thousands + 2 19. (a) 11, 13, 17, 19
thousands + 4 hundreds + 1 tens + 3 ones (b) 43, 47, 53, 59

(c) 6 hundred thousands + 0 ten thousands + 8 2 0. (a) ✓ (b) ✓
thousands + 1 hundreds + 9 tens + 2 ones

9. (a) 400 000 + 30 000 + 9 000 + 800 + 10 + 5 7✓
(b) 100 000 + 60 000 + 7 000 + 200 + 30 + 8
(c) 300 000 + 70 000 + 0 + 500 + 10 + 4 ✓7

7✓

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The Perfect PBD series is specifically published to assist pupils excel in Pentaksiran Bilik Mathematics
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quality practices and evaluations as well as complement assessment requirements
outlined by Malaysia’s Ministry of Education.

The contents of this series are designed and written based on the Dokumen Standard
Kurikulum dan Pentaksiran (DSKP), textbook, and the latest UPSR format. All practices in
this series are systematically arranged with extra features provided to help pupils ace the
examination.

Elements such as Higher Order Thinking Skill (HOTS), Pembelajaran Abad Ke-21 (PAK-21)
and i-THINK are intergrated where necessary to enhance pupils’ understanding of the
syllabus and the elements.

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and learning to be more interactive and interesting.

Year 5

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