WMPB16034B
Special Features
3 Topical-based practices 3 Revision papers and Semestral assessment
3 Use of calculators 3 Complete answers
Mastering Mathematics Workbook 6B
Mastering Mathematics is a comprehensive series of assessment workbooks which is written based on the latest Primary Mathematics Syllabus issued by the Ministry of Education of Singapore. Each of the workbooks provides sufficient practices on various types of questions. The approach adopted by the writers aims at reinforcing mastery of mathematical concepts, improving problem-solving skills and developing creative and critical thinking skills.
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MOE Syllabus
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Primary
Published by:
Pelangi Publishing Singapore Pte. Ltd. In collaboration with:
Dickens Publishing Ltd. Suite G7-G8, Davina House, 137-149 Goswell Road, London, EC1V 7ET, United Kingdom. E-mail: info@dickenspublishing.co.uk
( 201112597 C )
WMPB16034B
ISBN 978-981-07-1235-8
,!7IJ8B0-hbcdfi!
In collaboration with Dickens Publishing Ltd. (UK)
Lilian Yeo
Unit 7
Speed ............................................................. 1
Unit 8
Circles ............................................................10
General Revision 1 ......................................................... 27 Unit 9
Pie Charts ....................................................... 33
Unit 10
Area and Perimeter ........................................... 43
General Revision 2.......................................................... 47 Unit 11
Volume .......................................................... 55
General Revision 3 ......................................................... 67 Semestral Assessment .................................................... 72 Answers .................................................................... 93
iv
00 Content 6B.indd 4
7/19/13 10:57 AM
Mathematics Primary 6B  Unit 7 Speed
7
Speed
A Fill in each blank with the correct answer. 1. A bowling ball rolls 3 m per second. What is its speed?
2. A toy robot marches at a speed of 2 m/s. How far does it march in 5 seconds?
3. May Ling cycles 1200 m in 8 minutes. What is her cycling speed?
4. A horse gallops 4 km in half an hour. Find its speed.
5. Mr Evans drives at a speed of 108 km/h. How far does he travel in 45 minutes?
6. A train travels at a speed of 80 km/h. How long will it take to travel a distance of 300 km?
1
07 Math Pri 6B.indd 1
7/19/13 10:58 AM
Mathematics Primary 6B Unit 7 Speed
7. A bus travelled from Town A to Town B at a speed of 120 km/h. The bus left Town A at 7.40 a.m. and reached Town B at 1.25 p.m. on the same day. What is the distance between Town A and Town B?
B Complete the table below.
Distance
Time taken
1.
546 km
3h
2.
72 m
3.
4.
12 m/s
20 min
450 cm
5.
1512 m
7.
2208 m
8.
3348 km
95 m/min
15 s
17 h
6.
Speed (Distance ÷ Time)
215 km/h
56 m/min
69 s
108 km/h
2
07 Math Pri 6B.indd 2
7/19/13 10:58 AM
Mathematics Primary 6B Unit 7 Speed
C Find the average speed. 1.
Distance
A
B
Time taken
C
40 cm
60 cm
20 s
30 s
The snail’s average speed for the whole journey was
.
2.
Distance
X
Time taken
Y
Z
180 km
325 km
2h
3h
The average speed of the car for the whole journey was
.
3.
Distance Time taken
P
Q
R
240 m
186 m
68 s
74 s
The horse’s average speed for the whole journey was
.
3
07 Math Pri 6B.indd 3
7/19/13 10:58 AM
Mathematics Primary 6B  Unit 7 Speed
4.
Distance
D
E
F
497 km
Time taken
2485 km
30 min
3h
The average speed of the aeroplane for the whole journey was
.
5.
Distance
K
L 3140 m
Time taken
36 min
M
N
1462 m
978 m
15 min
11 min
The average speed of the bicycle for the whole journey was
.
6.
Distance Time taken
E
F
G
H
43 km
16 km
31 km
37 min
12 min
26 min
The average speed of the train for the whole journey was
.
4
07 Math Pri 6B.indd 4
7/19/13 10:58 AM
Mathematics Primary 6B Unit 7 Speed
D Write your answers on the lines provided. 1. An athlete ran 1210 m in 5 minutes. What was the athlete’s running speed?
2. Mrs Rajes drove her car at a speed of 95 km/h. How long would she take to travel a distance of 190 km?
3. Eugene started walking to his school at 6.40 a.m. The distance between his house and his school is 600 m. If Eugene reached his school at 6.55 a.m., find his speed.
5
07 Math Pri 6B.indd 5
7/19/13 10:58 AM
Mathematics Primary 6B Unit 7 Speed
4. A plane travelled at a speed of 280 m/s for the first 10 minutes. It then travelled at a speed of 163 m/s for 3 minutes. Find the total distance that the plane travelled.
5. Evelyn started jogging to her friend’s house at 8.37 a.m. She jogged a distance of 3360 m at a speed of 120 m/min. At what time did Evelyn reach her friend’s house?
6. Aaron took 1 h to travel 35 km. He travelled the remaining 3 of the journey 3 4 5 in h. Find Aaron’s average speed for the whole distance. 6
6
07 Math Pri 6B.indd 6
7/19/13 10:58 AM
Mathematics Primary 6B Unit 7 Speed
E Solve the following word problems. 1. The distance between City X and City Y is 275 km. Bill travels from City X to City Y at an average speed of 110 km/h. If he starts his trip at 11 20, at what time will he reach City Y? Express the time using the 12-hour clock.
2. Jim can run 10 laps of a 400 m track in 1 h. Find Jim’s average speed. Give 3 your answer in m/min.
3. Susan took 2 1 h to travel 3 of the journey between Town A and Town B 2 8 at an average speed of 96 km/h. If she took 6 2 h to travel from Town A to 5 Town B, find Susan’s average speed.
7
07 Math Pri 6B.indd 7
7/19/13 10:58 AM
Mathematics Primary 6B  Unit 7 Speed
4. May and June drove from their office to a restaurant along the same route. May drove at a speed of 81 km/h and took 20 minutes to reach the restaurant. If June reached the restaurant in 18 minutes, find the difference in their driving speed.
5. Matt travelled at a speed of 80 km/h for the first 4 of his journey. He then 9 travelled the remaining journey in 40 minutes at a speed of 90 km/h. How much time did Matt take to travel the entire journey? Give your answer in hours and minutes.
6. David and Tom drove from Village P to Village Q at an average speed of 80 km/h and 64 km/h respectively. Both of them took the same route and reached Village Q at 3 p.m. If David left Village P at 12 noon, at what time did Tom leave Village P?
8
07 Math Pri 6B.indd 8
7/19/13 10:58 AM
Mathematics Primary 6B  Unit 7 Speed
7. Mr Ken left his house at 6.10 a.m. He drove at an average speed of 72 km/h and reached his school at 7 a.m. If Mr Ken increased his speed to 90 km/h, at what time should he leave his house so that he could reach his school at the same time?
8. Emily and Dorothy left Town A at 2.40 p.m. Their average speeds were 70 km/h and 63 km/h respectively. If Emily reached Town B at 3.28 p.m., how far away was Dorothy from Town B?
9. Zack left his house at 8.15 a.m. He walked at an average speed of 75 m/ min to a shop 900 m away from his house. He rested for 30 minutes at the shop. He then walked at an average speed of 80 m/min to the library which is 1.2 km away from the shop. At what time did Zack reach the library?
9
07 Math Pri 6B.indd 9
7/19/13 10:58 AM
Mathematics Primary 6B  Unit 8 Circles
8
Circles
A Complete the table below. Circle
Centre
Radius
Diameter
1. B O A
C
P
2.
Y X M
Z
K
Q 3.
E
H
F J
I G
R
10
08 Math Pri 6B.indd 10
7/19/13 10:59 AM
Mathematics Primary 6B Unit 8 Circles
B Find the circumference of each circle. ( Take p = 22 ) 7 1. 14 cm
2. 35 cm
3. 21 cm
4.
28 cm
11
08 Math Pri 6B.indd 11
7/19/13 10:59 AM
Mathematics Primary 6B Unit 8 Circles
C Find the circumference of each circle. Give you answer correct to 1 decimal place. ( Take p = 3.14 ) 1. 10 cm
2. 18 cm
3. 23 cm
4.
8 cm
12
08 Math Pri 6B.indd 12
7/19/13 10:59 AM
Mathematics Primary 6B Unit 8 Circles
D Find the perimeter of each figure shown below. ( Take p = 22 ) 7 1. 21 cm
2.
7 cm
E Write your answers on the lines provided. 1. The figure shows two semicircles. Find the perimeter of the figure and give your answer correct to 1 decimal place. ( Take π = 3.14 )
5 cm 18 cm
13
08 Math Pri 6B.indd 13
7/19/13 10:59 AM
Mathematics Primary 6B Unit 8 Circles
2. The figure below shows a semicircle and a quadrant enclosed in a rectangle measuring 28 cm by 46 cm. Find the perimeter of the shaded part.
( Take π = 22 ) 7
28 cm
46 cm
3. The figure is made up of 4 identical quadrants enclosed in a square of side 13 cm. Find the perimeter of the shaded part. Give your answer correct to 1 decimal place. ( Take π = 3.14 )
13 cm
14
08 Math Pri 6B.indd 14
7/19/13 10:59 AM
Mathematics Primary 6B Unit 8 Circles
F Find the area of each circle. ( Take p = 22 ) 7 1. 14 cm
2. 21 cm
3.
7m
4.
42 m
15
08 Math Pri 6B.indd 15
7/19/13 10:59 AM