Spring 2021 Competition - Maths Primary 6.pdf

Unit Students may be required to do the followings:
1. Understand how to perform addition and subtraction of numbers up to 10
2. Recognise numbers up to 120
3. Know how to do sums of 3 numbers
4. Understand how to perform addition and subtraction of two- and three-digit numbers
5. Recognise numbers up to 10,000
6. Understand how to perform written sums of operations with carrying or borrowing
7. Know products of multiplication by up to 9
8. Understand how to solve problem sentences
1. Know how to read time on a clock face
2. Understand the concept of length
Geometry 1. Recognise triangles and quadrilaterals
Unit Students may be required to do above and the followings:
1. Understand how to perform written sums of operations between three-digit numbers
2. Understand how to perform written sums of multiplication
3. Understand the concept of division with and without remainder
4. Recognise numbers up to 100,000,000
1. Know how to read time on a clock face
2. Understand the concept of length
3. Understand the relationship between units of length
Geometry 1. Recognise triangles and quadrilaterals
Unit Students may be required to do the above and the followings:
1. Understand how to perform working sum of division
2. Understand the order of calculation
3. Understand how to round off numbers up to 100,000,000,000,000
1. Understand the difference between time and period
2. Understand the concepts of mass and volume
3. Understand the relationship between different units of mass and volume
4. Know how to interpret readings on measurement apparatus
1. Recognise triangles and quadrilaterals with right angles
2. Understand the characteristics of a cuboid
Basic Statistics 1. Know how to read and interpret tables and bar graphs
1. Understand the concept and calculation of decimal fractions
2. Understand the concept and properties of numeric fractions
3. Understand the relationship between integers and decimal fractions
4. Understand how to perform multiplication and division of decimal fractions
5. Understand how to perform addition and subtraction of numeric fractions
6. Understand the application of commutative, associative, and distributive laws
1. Know how to measure angles
2. Understand the relationship between various angles
1. Recognise plane and compound figures, circles, and spheres
2. Understand how to calculate areas of plane and compound figures
1. Understand how to process data by tabulation
2. Know how to read and interpret line graphs
1. Understand the relationship between multiples and divisor of integers
2. Understand how to perform addition and subtraction of fractions using common denominator
3. Understand how to perform multiplication and division of numeric fractions
1. Know how to investigate perpendicularity and parallelity between two lines
2. Recognise special kinds of quadrilateral
3. Understand how to calculate areas of triangle, parallelogram, trapezoid, and rhombus
4. Recognise circles and their elements
5. Understand how to calculate circumference and area of a circle
6. Recognize solid figures
7. Understand how to calculate solid figures
1. Understand the concept of percentage
Mathematics Course Outline
for Spring 2021 Competition
Numbers and Calculation
Units and Measurement
Geometry
Geometry
Basic Statistics
Basic Statistics
Grade 2
Grade 3
Grade 4
Grade 5
Grade 6
Geometry

2. Know how to read and interpret circle and column graphs
Basic Statistics

a JISMO 2015
JISMO M-6 (Matemathics Primary 6) | Online September 2020
JISMO 2020 1
MULTIPLE CHOICES
Fill the circle on the answer sheet with the right answer.
1. The numbers below are placed by following a certain rule. Find the number to replace the ?
A. 322
B. 304
C. 3010
D. 301
2. Find the sum of the 5 shaded angles in the figure below.
A. 180°
B. 210°
C. 225°
D. 240°
Refer to the following table to answer question 3 and 4.
The table below shows the population and area of 5 cities.
City Population Area (km2
)
Springfield 25000 ?
Georgetown 40500 225
Greenville 30000 150
Clinton 38000 200
Madison 20000 100
3. If the population density of Springfield is 1 times that of Madison, find the area of
Springfield.
1
4
A. 125 km2
B. 80 km2
C. 100 km2
D. 250 km2

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JISMO 2020
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4. Springfield considers merging with one of the other cities. If that city wants to increase
population density by merging, which city should it be merged with?
A. Georgetown
B. Greenville
C. Clinton
D. Madison
5. A semicircle with 40 cm diameter overlaps the square with 40 cm sides as illustrated below.
The constant is 3.14. What is the area of the shaded part?
6. The triangle below is divided into 3 parts, a , b , and c with the same height. Find the
simplest ratio of each area in integer.
A. 1 : 2 : 3
B. 1 : 3 : 5
C. 1 : 3 : 7
D. 2 : 4 : 8
A. 243 cm2
B. 286 cm2
C. 314 cm2
D. 360 cm2

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JISMO 2020 3
Refer to the following story to answer question 7 and 8.
Ava, Betty, and Chloe sew shirts. To finish sewing 1 shirt, Ava takes 4 hours, while Betty
takes 6 hours and Chloe takes 12 hours.
http://2.bp.blogspot.com/
7. Yesterday, Betty and Chloe sewed a shirt together. How long did they take?
A. 9 hours
B. 6 hours
C. 4 hours
D. 3 hours
8. Today, the three of them worked together to finish making a shirt with 15 minutes break in
the middle of work. How long did they take to complete their work?
A. 1 hour and 25 minutes
B. 2 hours and 15 minutes
C. 2 hours and 45 minutes
D. 4 hours and 15 minutes
9. Look at the picture below. There are 11 squares of various sizes. What is the total area of
the squares?
A 729 cm2
B. 864 cm2
C. 891 cm2
D. 972 cm2

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10. The following clock shows noon time. What time will the longhand and shorthand make
50°?
A. 12:08 and minute
B. 12:11 and minute
C. 12:10
D. 12:09 and minute
1
3
1
9
1
11
11. Owen and Isla left their house at the same time to go to school on foot. Owen walked at a
speed of 60 m per minute while Isla walked at 50 m per minute. Owen reached school 4
minutes earlier than Isla. How far is the distance from their house to school?
A. 1440 m
B. 1200 m
C. 1000 m
D. 1240 m
A. 2500 cakes
B. 1665 cakes
C. 1215 cakes
D. 900 cakes
13. Moo Moo Farm sells cheesecakes using fresh milk from the farm. The original price for a
whole cheesecake is 18 dollars. Today, the farm sells them for 2.7 dollars cheaper than the
original price, then they sell 450 more cakes than they did yesterday. So, the total sales
increased by 1350 dollars. How many cheesecakes sold at Moo Moo Farm today?
12. Between 1 and 120, how many integers are indivisible by either 6 or 8?
A. 90 B. 96 C. 115 D. 85

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JISMO 2020 5
14. There are 3 rectangles with 6 cm-long width and 10 cm-long length as illustrated below.
What is the area of the shaded part?
A. 15 cm2
B. 10 cm2
C. 12 cm2
D. 30 cm2
15. James has 6 flashcards with the following numbers: 3, 5, 7, 9, 11, and 13. He took 5 cards
among them and subtracted the remaining number from the sum of 5 numbers he took.
When the answer was 30, what number did James subtract?
4
7
3
4
https://sozai-good.com/uploads/81380/81380_sample.png
16. The same number was added to the denominator and numerator of , then reduce to .
What number was added?
A. 18 B. 11 C. 9 D. 7
A. 2 B. 8 C. 11 D. 5
17. The sum of Emma’s, her mother’s, and her grandmother’s ages is 115.
Emma: “My mother’s age is 3 times and 6 years younger than mine while that of my
grandmother’s is twice and 7 years younger than my mother’s.”
How old is Emma’s grandmother now?
A. 65 years old
B. 69 years old
C. 73 years old
D. 85 years old

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JISMO 2020
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18. The following figures are made of iron wire bent at every 1 cm to make steps. The lengths of
figure 1, figure 2, and figure 3 are 5 cm, 9 cm, and 13 cm, respectively. When there are 50
steps, what is the total length of the figure?
A. 250 cm B. 203 cm C. 201 cm D. 200 cm
19. There are 4 8-digit numbers below. Among the 4 numbers, which one is not a multiple of 4?
A. 47911564
B. 36588434
C. 12344736
D. 29655972
20. One hundred and fifty meter-long train B took 56 seconds to overtake one hundred and
thirty meter-long train A which travelled at a speed of 25 m per second. Find the speed of
train B.
A. 81 m per second
B. 67.2 m per second
C. 36.2 m per second
D. 30 m per second
1 step
Figure 1
2 steps
Figure 2
3 steps
Figure 3

ANSWER SHEET
GRADE 6 MATHEMATICS
Subject Code: M-6
 JISMO 2015
MULTIPLE CHOICES
JISMO M-6 (Mathematics Primary 6) | Online September 2020
RE - REGISTRATION
Full name:
GENERAL INSTRUCTIONS
FOR ONLINE COMPETITION
Registration:
Participants must fill in
the followings for re-registration.
Grade:
School Name: ______________________
______________________
______________________
______________________
Participants should use only pencils and
eraser. It is recommended that they
use at least 2 pencils. The rest of the
things such as calculator, handphone,
dictionary, protractor, ruler, pen, etc.
are not allowed to use during the exam.
Only participants for maths competition
are allowed to use 1 sheet of A4 blank
paper for calculation.
1.
The duration of the competition is 60
minutes per subject. Participants are
allowed to leave the competition at
any time after submitting the complete
answers and switching off Zoom.
Make sure to click “Submit” button and
see closing page appears.
Once participants left the competition,
they are not allowed to re-access the
Google Form link or re-join the
Zoom meeting.
2.
3. In case of lost WIFI connection, if the
cause is from JISMO side, JISMO shall
secure 60 minutes for participants.
If the cause is from participants side,
participants shall be back to
the competition within 5 minutes.
While losing WIFI connection, participants
shall be back to the competition
within 5 minutes.

a JISMO 2015
JISMO M-6 (Mathematics Primary 6) | March 2020
1
JISMO 2020
MULTIPLE CHOICES
Fill the circle on the answer sheet with the right answer.
3. The following figure is a right-angled triangle. Calculate the volume of a figure which is
made by rotating the right-angled triangle 360 degrees around y-axis. Note: the circular
constant is 3.14.
1. Find the area of the shaded part.
A. 50.4 cm2

B. 75.6 cm2

C. 67.2 cm2

D. 25.2 cm2
2. There are 4 number cards as shown below. How many 3-digit even numbers can be made?
A. 471 cm3
B. 628 cm3
C. 942 cm3
D. 1884 cm3
A. 18 even numbers
B. 12 even numbers
C. 6 even numbers
D. 10 even numbers

JISMO 2020
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4. What is the total capacity of the train?

A. 108 people B. 1701 people C. 1333 people D. 1080 people
5. How many more cars should be added to make the vehicle occupancy ratio of the train
below 100%? Note: The riding capacity of each car is the same.
A. 2 cars B. 3 cars C. 4 cars D. 5 cars
Refer to the following story to answer question 4 to 7.
The vehicle occupancy ratio is used to express the number of people per vehicle during a trip when
referring to a public transportation.
One long weekend in Spring, Alex took a train which had 8 cars to go to Dream town. There were
1512 people on the train. The vehicle occupancy ratio was 140%.
6. Alex got off at Dream town station. If 50% of the people got off at Dream town station and
nobody got onto the train, what would the vehicle occupancy ratio of the train be?

A. 50% B. 70% C. 90% D. 95%
7. At Dream town station, the train was reduced by 2 cars to go for the final station, therefore
the length of the train became 125 m. There was a bridge on the way to the final station. The
train took 28 seconds to pass the bridge. If the speed of the train is 20 meter per second,
how long was the bridge?
A. 685 m B. 560 m C. 445 m D. 435 m

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JISMO 2020
8. When a circle with 1 cm radius goes around the following fan-shaped figure once, what is
the total length of the path drawn by the center point of the circle? Note: the circular constant is
3.14.
A. 14.13 cm
B. 22.56 cm
C. 19.42 cm
D. 24.13 cm
A. 22 B. 18 C. 20 D. 15
9. There are 5 integer number cards put in order from the smallest to the biggest. The average
of the 5 numbers is 20 whereas that of the 3 smallest numbers is 15 and that of the 3
biggest numbers is 25. What is the 3rd
smallest number among the 5 cards?
10. The graph below shows Zoe’s daily schedule. According to the schedule, how long does
she study?
A. 8 hours
B. 6 hours
C. 5 hours
D. 4 hours

JISMO 2020
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12. How much longer the distance between Mei’s house and the school compared to that of
between the school and shopping mall?
A. 6 km B. 5 km C. 2.5 km D. 2 km
13. There was a lot of visitors in a museum. The number of adults was 100 people more than
of the total number of visitors whereas the number of children was 50 people more than
of the total number of visitors. Calculate the total number of visitors.
A. 875 visitors
B. 725 visitors
C. 755 visitors
D. 1750 visitors
3
7
It took 3 hours for Mei to walk up and down the hill to the shopping mall by passing the school.
When she walked home through the same way, she spent 3 and a half hours. If she walked up
the hill at the speed of 3 km per hour and walked down the hill at the speed of 4 km per hour,
find the answers of the following 2 questions.
11. How much longer does it take for Mei to walk up the hill 1 km compared to walking down
the hill 1 km?
A. 5 minutes B. 6 minutes C. 12 minutes D. 15 minutes
2
5

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JISMO 2020
14. There is a rhombus inside the regular hexagon as shown in the figure below. When the
total area of the shaded parts is 24 cm2
, calculate the area of the rhombus.
A. 24 cm2
B. 36 cm2
C. 48 cm2
D. 54 cm2
16. There were five children playing cards. Read what the children said below and find the one
who got a joker card. Three out of five children told the truth and the rest lied.
Archie: Camila did not get the joker card.
Bill: The person who got the joker card was either Camila or Erika.
Camila: Bill lied.
Dan: Camila got the joker card.
Erika: What Bill and Dan said was true.
A. Bill
B. Camila
C. Dan
D. Erika
15. Opposite faces of dice always add up to 7. There are 4 dice placed following a rule which
the numbers on the faces facing each other are the same. If the number on face a is
smaller than that on face b , find the number on face a .
A. 4
B. 3
C. 2
D. 1

JISMO 2020
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17. There is an election to vote for the new student council president. Sarah, Thomas, Hugo, and
Vicky stood as candidates. There are 775 students in their school excluding them. Each student
casts one vote. What is the least number of votes required for Sarah to win?
18. There are three gears, A, B, and C. The ratio of gear teeth A to B is 5 to 6 while that of gear
teeth A to C is 2 to 5. When gear B revolves 600 turns, how many turns does gear C
revolve?
A. 288 turns
B. 720 turns
C. 500 turns
D. 1250 turns
The numbers below are placed by following a rule.
19. Where is the position of ?
A. At the 46th
position C. At the 37th
position
B. At the 45th
position D. At the 36th
position
A. 195 votes
B. 194 votes
C. 193 votes
D. 196 votes
20. What number is placed at the 78th
position?

A. B. C. D.
9
10
13
14
12
13
1
13
1
14

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JISMO 2020
SHORT-ANSWER QUESTION
Question 1
Question 2
Find the degree of angle b .
Question 3
JISMO winners go to Japan for the final round. If 3 children stay in a room at the hotel,
24 children do not get room. If 4 children stay in a room, all of the children get room
and there are 5 rooms remaining. Calculate the number of winners and rooms.
There is parallelogram ABCD in the figure below. The length of BC is equal to AC whereas
that of AB is equal to AE. The degree of angle a is 40°.
Find all triangles which are congruent to triangle ABC.

ANSWER SHEET
GRADE 6 MATHEMATICS
Subject Code: M-6
1. Duration of the test is 60 minutes. There are 20
multiple choices and 3 short answers on the
question paper.
2. Use only pencils and erasers during the test. Calculators,
rulers, and pens are not allowed.
3. Students are not allowed to leave the classroom until
the test ends.
4. Shade your full name as shown by the example below.
5. Shade your choice as shown by the
example below.
Honour Code:
I pledge that I will not copy or
take help from other students
or instructors while answering
questions.
GENERAL INSTRUCTIONS
MULTIPLE CHOICES
MULTIPLE CHOICES
1.
2.
REGISTRATION NUMBER SCHOOL NAME
Signature
_______________
STUDENT NAME
STUDENT NAME
B E C C A
 JISMO 2015

Short Answer (M-6)
Please use the following spaces for short answer question 1 to 3.
Question 1.
Question 2.
Question 3.
<Equation>
Answer:
 JISMO 2015
Triangle CDA and AED
( It is also correct if students write ACD or DAE )
Triangle ABC is isoscales, so
180 - 40 = 140
140 2 = 70
Triangle ABC = AED, so b is 70
If 3 kids / room, 24 kids don’t get room. If a kids’ room, 4 x 5 = 20 kids do not
get room. If the number of kids per room is increased by 1, 4 - 3 = 1,
24 + 20 = 44 more kids can stay in the rooms. Thus the number of rooms is
(24 + 20 ) = 44, 44 ( 4 - 3 ) = 44
The number of winners is : 3 x 44 + 24 = 156
The number of winners = 156
The number of rooms = 44

JISMO Comittee
www.jismo-educational.org
Dear paticipants,
Thank you for joining JISMO Spring 2021 online competition.
The Spring 2021 Olympiads will be held via online.
If you want to understand how the competition will be conducted or how to
use Zoom and Google Form simultaneously, you can join the simulation of JISMO
Spring 2021. It will only take 20 - 30 minutes. You can even join it several times to
gain more confidence and experience.
* Note: During the simulation, there will only be a fun mock test provided. It is not
related to maths/science questions for the Olympiads. We starts admitting
participants at 15:30 and hold the simulation from 15:40. Be punctual with the
scheduled time. We will start the simulation timely and will not admit anyone who
joins late.
We close the registration at 18:00 1 day prior to the simulation date. (e.x., if you
choose 2 March '21, the registration due is at 18:00 on 1 March '21). We will
email you the Zoom link and Password in the morning on the simulation day you
chose.
Please see the schedule of the simulation through the following link and register
yourselves.
https://forms.gle/3B6JqRBPpqgxjKZS6
If you need any further assistance for the above-mentioned issue, please contact us
at jismo.online2@gmail.com
We wish all of you the best luck on the competition day.
Very best regards,
JISMO Committee
Invitation Letter for Simulation of The Competition

JISMO Comittee
As of 7 Dec 2020
Online Competition Guidance and Rules
for JISMO Spring 2021
Dear Teachers and Parents,
Thank you for joining JISMO Online Spring 2020.
In order for participants to join the competition without anxiety, please read the following
competition guidance and rules carefully and explain to them prior to the competition. We
also need your support to provide a quiet and comfortable environment for participants to
concentrate on the exam during the competition.
We wish your children the best on the competition day.
Best regards,
JISMO Committee
6, 13, 20, and 27 March 2021
3 and 10 April 2021
(Choose the most convenient Saturday for your children.)
* Own a PC or laptop at home
* Create a Zoom account with your full name
* Have a stabilized and strong internet connection
* Able to operate Zoom and Google Form independently
Requirements to Join JISMO Spring 2021
Competition Dates

JISMO Comittee
Maths
9:00 | 8:00 : JISMO resends Zoom meeting link, ID, and password to participants
9:20 | 8:20 : All participants access JISMO Zoom meeting
9:30 | 8:30 : Re-registration by participants
10:00 | 09:00 : Competition starts
11:00 | 10:00 : Competition ends
Science
9:00 | 8:00 : JISMO resends Zoom meeting link, ID, and password to participants
11:20 | 10:20 : All participants access JISMO Zoom meeting
11:30 | 10:30 : Re-registration by participants
12:00 | 11:00 : Competition starts
13:00 | 12:00 : Competition ends
1. JISMO Committee will send Zoom link, ID, and password to participants’ registered
email addresses 1 day prior to the competition date.
2. Join simulation of JISMO Spring 2020 if you want to understand how the competition
will be conducted or how to use Zoom and Google Form simultaneously, For
registering, visit our Google link, https://forms.gle/2oZ9HLE5XzFeBnzZ8 to get
time schedule.
3. Participants must ensure the camera setting to show their upper body via Zoom on
the competition day.
Competition Time Schedule
Before the Competition Day

JISMO Comittee
1. JISMO Committee will invite participants by resending Zoom meeting link, ID and
password to participants’ registered email addresses at 9:00 (Singapore and
Philippines time) and 8:00 (Thailand and Indonesia time) on the competition day.
2. Participants must access Zoom at least 40 minutes before exam.
3. JISMO invigilators will explain about competition rules to participants.
4. Participants use Google Form for the exam questions. JISMO invigilators will inform
them the link through Zoom Chat 30 minutes before the commencement of the exam.
5. Participants will do re-registration by filling up their names, registration number, etc.
in Google Form. Participants shall open Zoom and Google Form simultaneously
during the competition. Participants can minimize Zoom screen and maximize Google
Form screen by following the instruction below. Go to JISMO invigilator’s screen and
click “Pin Video” then click “Minimize”.
On the Competition Day

JISMO Comittee
6. Participants must share screen in Zoom after opening Google Form. In case of not
sharing the screen during the competition, participants will be disqualified without
warning.
7. Participants must go to the toilet before the exam.
8. Participants shall not switch off video during the competition. This will result in
disqualification.
9. Participants must be punctual with the exam time schedule. JISMO will start the exam
timely and will not admit anyone who joins late.
1. Participants should use only pencils and eraser. It is recommended that they use at
least 2 pencils. The rest of the things such as calculator, handphone, dictionary,
protractor, ruler, pen, etc. are not allowed to use during the exam. Only participants
for maths competition are allowed to use 1 sheet of A4 blank paper for calculation.
2. The duration of the competition is 60 minutes per subject. Participants are allowed to
leave the competition at any time after submitting the complete answers and switching
off Zoom. Make sure to click “Submit” button and see closing page appears. Once
participants left the competition, they are not allowed to re-access the Google Form
link or re-join the Zoom meeting.
------→
-->
------→
-->
During The Competition

JISMO Comittee
3. In case of lost WIFI connection, if the cause is from JISMO side, JISMO shall secure
60 minutes for participants. If the cause is from participants side, participants shall be
back to the competition within 5 minutes. While losing WIFI connection, participants
participants shall be back to the competition within 5 minutes.
4. Participants are allowed to drink water during the exam. However, foods are not
allowed.
Participants may be disqualified in case of the following acts:
1. Not sharing screen, not turning mute on, using Zoom background feature, turning off
video, or switching off Zoom during the exam.
2. Using calculator, handphone, dictionary, protractor, or ruler during the exam.
3. Leaving participants’ computers for more than 5 minutes during the exam. In case of
leaving the computer, Participants shall finish the competition by submitting the
answers and switching off Zoom. This rule is applied for toilet break and WIFI
connection trouble in participants’ place.
4. Making strange movements such as hiding from the screen, making eye contact to
somebody in their places, making noise, etc.
5. Getting help from participants’ family members or friends to answer the questions
during the exam.
6. Closing Google Form both subconsciously and intentionally and loosing WIFI
connection for more than 5 minutes.
In both Maths and Science paper, there will be 22 multiple choice questions which carry a
total of 100 marks. No mark will be given or no deduction for wrong answers and/or
unanswered questions.
. Announcement for test results
School, Individual, and Legend awards winners will be announced on Tuesday, 27 April 2021
in www.jismo-educational.org.
Announcement for Test Results
Disqualification
Questions and Scores

JISMO Comittee
. Announcement for test results
Virtual Award Ceremony will be held on the following dates. Registration will be opened on
Apr 27, 2021, and closed 3 days prior to the award ceremony date. The registration link will
be announced on the same day as the competition results announcement (Apr 27, 2021).
Mon, 3/May '21: Primary 6
Tue, 4/May '21: Primary 5
Wed, 5/May '21: Primary 4
Thur, 6/May '21: Primary 3
Fri, 7/May '21: Primary 2
• Certificates and medals delivery schedule: 20 May ’21 – 5 Jun ‘21
We wish your children the best on the competition day.
Sincerely yours,
JISMO Committee
LINE QR Code Viber QR Code
Whatsapp QR Code
Vitual Award Ceremony

Spring 2021 Competition - Maths Primary 6.pdf

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