Mathematics Course Outlines Spring 2022 Competition Grade 2 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 Numbers and Calculation 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 Units and Measurement 2. Understand the concept of length Geometry 1. Recognise triangles and quadrilaterals Grade 3 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 Numbers and Calculation 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 Units and Measurement 2. Understand the concept of length 3. Understand the relationship between units of length 1. Recognise triangles and quadrilaterals Geometry Grade 4 Unit Students may be required to do the above and the followings: 1. Understand how to perform working sum of division Numbers and Calculation 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 Units and Measurement 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 Geometry 2. Understand the characteristics of a cuboid 1. Know how to read and interpret tables and bar graphs Basic Statistics Grade 5 Unit Students may be required to do the above and the followings: 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 Numbers and Calculation 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 Units and Measurement 2. Understand the relationship between various angles 1. Recognise plane and compound figures, circles, and spheres Geometry 2. Understand how to calculate areas of plane and compound figures 1. Understand how to process data by tabulation Basic Statistics 2. Know how to read and interpret line graphs Grade 6 Unit Students may be required to do the above and the followings: 1. Understand the relationship between multiples and divisor of integers Numbers and Calculation 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 Geometry 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 Basic Statistics 2. Know how to read and interpret circle and column graphs JISMO M-4 (Matemathics Primary 4) | Online March 2021 a JISMO 2015 MULTIPLE CHOICES Fill the circle on the answer sheet with the right answer. 1. The figure below is the combination of a square with 2-cm long sides and 4 quadrants of different sizes. What is the radius of quadrant D? Note: Quadrant means one-quarter of a circle. 2. 3. A. 6 cm B. 8 cm C. 10 cm D. 12 cm There are 4 rectangles of the same size with the perimeter of 48 cm. When the 4 rectangles are placed to make a big square as shown in the figure below, calculate the area of the big square. Find all the possible numbers in A. 144 cm2 B. 576 cm2 C. 1296 cm2 D. 2304 cm2 □ which will make a 2-digit quotient for the following division. How many numbers are there? A. 8 numbers JISMO 2021 B. 7 numbers C. 6 numbers D. 5 numbers 1 JISMO M-4 (Matemathics Primary 4) | Online March 2021 4. and a JISMO 2015 are integers. The same shape means the same number. If the following equations can be made, what is the answer of 5 X A. 9 5. + B. 8 ? 30 X C. 6 D. 7 How many rectangles are there in the figure below? A. 21 rectangles B. 25 rectangles C. 28 rectangles D. 30 rectangles 6. Kenzo designed a kite with the following dimension. What is the area of Kenzo’s kite? 35 cm 40 cm A. 175 cm2 2 B. 350 cm2 C. 700 cm2 D. 1400 cm2 JISMO 2021 JISMO M-4 (Matemathics Primary 4) | Online March 2021 7. a JISMO 2015 There are motorbikes and cars in a parking lot. If there are 64 units with a total of 176 tires, how many motorbikes are there? A. 48 motorbikes 8. B. 16 motorbikes D. 40 motorbikes The following clock shows 09:12. What is the degree of angle ⓐ ? A. B. C. D. 9. C. 24 motorbikes 150o 152o 155o 156o Student A, B, C, D, and E sit and have a meeting at a round table. How many ways can the 5 students sit around the round table? Note: A-B-C-D-E and E-A-B-C-D are considered the same way A. B. C. D. JISMO 2021 20 ways 24 ways 100 ways 120 ways 3 JISMO M-4 (Matemathics Primary 4) | Online March 2021 10. a JISMO 2015 Gabrielle tied two boxes with a ribbon as shown in the figure below. If she used a total of 2-m ribbon, how many cm of ribbon did she use to make the knot? A. B. C. D. 170 cm 115 cm 61 cm 30 cm Refer to the following story to answer question 11 and 12. Ken’s school held a Science and Mathematics competition. There were a total of 620 students in his school. The number of students who participated in Science competition was 416 while that of in Mathematics competition was 375. There were 218 students participated in Science competition, but did not participate in Mathematics one. 11. How many students did participated in Mathematics competition but did not participate in Science one? A. 171 students 12. C. 198 students D. 204 students How many students did not participate in either Science or Mathematics competition? A. 41 students 4 B. 177 students B. 33 students C. 21 students D. 27 students JISMO 2021 JISMO M-4 (Matemathics Primary 4) | Online March 2021 13. a JISMO 2015 There are 6 squares of various sizes. What is the area of the big rectangle if its width is 20 cm? 20 cm A. 1000 cm2 B. 1040 cm2 C. 1100 cm2 D. 1120 cm2 Refer to the following story to answer question 14 and 15. There are square-shaped tiles installed following a certain rule. 14. How many tiles are there in the 15th figure? A. 272 tiles 15. B. 225 tiles C. 240 tiles D. 210 tiles C. 22nd D. 30th Which figure has a total of 420 tiles? A. 20 th B. 21st 16. The figure below is a regular hexagon. What is the degree of angle ⓐ ? JISMO 2021 A. B. C. 110o 120o 135o D. 150o 5 JISMO M-4 (Matemathics Primary 4) | Online March 2021 17. Squares and equilateral triangles with 12-cm sides each are made of iron wire. By maximizing the use of a 25-m long iron wire, how many sets of squares and equilateral triangles can be made? The total number of both shapes must be the same. A. 34 sets 18. B. 30 sets C. 29 sets D. 26 sets There are 6 children, Akira, Ben, Calvin, Dave, Ethan, and Fendy talking about their heights. By using the following information, what is the difference in height between the shortest and the tallest child? 1. 2. 3. 4. 5. The difference between Ben’s and Calvin’s heights is 3 cm. Calvin is 7 cm taller than Fendy, and the difference between Akira’s and Calvin’s heights is 4 cm. The difference between Akira’s and Dave’s heights is 4 cm, and Dave is taller than Ethan. Ethan is 2 cm shorter than Akira. There are 2 children who are taller than Ethan. A. 15 cm 6 a JISMO 2015 B. 20 cm C. 18 cm D. 13 cm JISMO 2021 JISMO M-4 (Matemathics Primary 4) | Online March 2021 19. a JISMO 2015 The equations below are made following a certain rule. Find the number to replace “?”. 9 = 72 8 = 56 7 = 42 6 = 30 4 = 12 3=? A. 3 20. B. 4 C. 5 D. 6 Two square-shaped sheets with 12-cm long sides are overlapping precisely as shown below. If one of them is shifted 5 cm to the left and 8 cm to the top, what is the area of the overlapping part? A. 28 cm2 JISMO 2021 B. 20 cm2 C. 56 cm2 D. 40 cm2 7 JISMO M-4 (Matemathics Primary 4) | Online March 2021 21. Four figures, A, B, C, and D are made using 4 pieces of shape ① which can be flipped. Which of the following figures cannot be made? A. Ⓐ 22. B. Ⓑ C. Ⓒ D. Ⓓ Equilateral triangle AED and isosceles triangle CDE are inside square ABCD. What is the degree of angle ⓐ? A. 25o 8 a JISMO 2015 B. 20o C. 15o D. 10o JISMO 2021 JISMO M-4 (Mathematics Primary 4) | Online Maret 2021 ANSWER SHEET GRADE 4 MATHEMATICS Subject Code: M-4 RE - REGISTRATION Participants must fill in the followings for re-registration. GENERAL INSTRUCTIONS FOR ONLINE COMPETITION 1. Participants should use only pencils and Full name: ______________________ Registration: ______________________ 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 Grade: ______________________ School Name: ______________________ 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. 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. MULTIPLE CHOICES 21. 22. JISMO 2015 JISMO M-4 (Mathematics Primary 4) | Online September 2021 a JISMO 2015 MULTIPLE CHOICES Fill the circle on the answer sheet with the right answer. 1. When 2 numbers on parallel sides are added, the sum is 12. Find the correct numbers in the following unfolded cuboid, then calculate A + B x C. A. 29 B. 39 C. 43 D. 64 2. Some of the following numbers are missing. Find the number to replace A. A. 4 B. 5 C. 8 D. 9 3. There are 3 triangles of different sizes in the figure below. The largest triangle is an equilateral triangle. The second-largest triangle is drawn by connecting the center points of each side of the largest triangle with a straight line. The smallest triangle is drawn by connecting the center points of each side of the second-largest triangle. What is the length of the side of the largest triangle if the perimeter of the smallest triangle is 120 mm? A. 12 cm JISMO 2021 B. 16 cm C. 36 cm D. 160 cm 1 JISMO M-4 (Mathematics Primary 4) | Online September 2021 4. a JISMO 2015 If 207 is divided by a certain integer, the remainder is 12. Among the possible integers, what is the smallest number? A. 39 C. 13 B. 5 D. 15 5. Three machines make six products in three minutes. If fifty machines make one hundred products, how long will they take? A. 3 minutes B. 1 minute C. 6 minutes D. 2 minutes 6. Ryu finds the sum of 9 consecutive numbers from 1 to 9 by creating the following equation. Based on the fact above, what is the sum of 21 consecutive numbers starting from 19? A. 580 7. B. 590 C. 609 D. 620 If you collect 5 empty juice bottles, you can exchange them for 1 new juice. If you have 200 new juice bottles now, what is the maximum number of juice bottles can you get? 2 A. 240 bottles B. 248 bottles C. 249 bottles D. 250 bottles JISMO 2021 JISMO M-4 (Mathematics Primary 4) | Online September 2021 8. a JISMO 2015 School A conducted a survey on the participation of 121 grade 4 students in JISMO Autumn 2021. Sixty-seven students join mathematics competition while thirty-five students join both mathematics and science competitions. If thirty-six students do not join either mathematics or science competition, how many students join science competition? A. 53 students 9. B. 54 students C. 32 students D. 18 students There are 2 numbers, A and B. When B is subtracted from A, the difference is 48. When A is divided by B, the quotient is 7 and there is no remainder. Find the numbers to replace A and B, then calculate A + B. A. 64 B. 62 C. 56 D. 54 10. There are 4 students, A, B, C, and D talking about their game scores. If the following 3 things are defined, which of the options has the correct answer in order from the lowest to the highest score? (1) B’s score is equal to the sum of A and D’s. (2) D’s score is lower than A’s. (3) B’s score is higher than the sum of A and C’s. A. B-A-C-D C. C-D-A-B B. C-A-D-B D. D-C-A-B (https://image.itmedia.co.jp/) JISMO 2021 3 JISMO M-4 (Mathematics Primary 4) | Online September 2021 11. a JISMO 2015 When the numbers on the left pass through the magic door, they go together following the same rule. What number can replace A? A. 11 B. 15 C. 28 D. 37 Refer to the following story to answer questions 12 and 13. A rectangular piece of paper in figure 1 has a length of 6 cm. It is cut into 4 rectangles, a, b, c, and d. The 4 rectangles are arranged to form a square as shown in figure 2. 12. What is the perimeter of the square in figure 2? A. 24 cm 13. What is the length of the big rectangle in figure 1? A. 15 cm 4 B. 40 cm B. 12 cm C. 32 cm C. 14 cm 5 mm D. 36 cm D. 13 cm 5 mm JISMO 2021 JISMO M-4 (Mathematics Primary 4) | Online September 2021 a JISMO 2015 Refer to the following story to answer questions 14 and 15. There are 16 balls of the same size placed in a paper box. The balls fit into the box perfectly. 14. What is the radius of the ball? A. 9 cm 15. What are the lengths of a and b? A. a: 72 cm, b: 9 cm B. a: 64 cm, b: 8 cm C. a: 9 cm, b: 72 cm D. a: 8 cm, b: 64 cm 16. What is the perimeter of the following figure? A. 205 cm JISMO 2021 B. 4 cm 5 mm B. 200 cm C. 8 cm D. 4 cm C. 195 cm D. 190 cm 5 JISMO M-4 (Mathematics Primary 4) | Online September 2021 17. Which of the following figures is not a cuboid? A. 18. B. C. D. The numbers below go together following the same rule. What number can replace A? A. 5954 19. a JISMO 2015 B. 6352 C. 3185 D. 3573 Find the number to replace the following circles. A. 7 B. 6 C. 0 D. 2 20. There are 10 circles with a diameter of 12 cm. When the centers of the circles a-b-c-d-e-f-gh-i-a are connected, a triangle will be formed. What is the name of the triangle and what is the perimeter of it? A. Isosceles triangle, 108 cm B. Right-angled triangle, 120 cm C. Equilateral triangle, 108 cm D. Equilateral triangle, 120 cm 6 JISMO 2021 JISMO M-4 (Mathematics Primary 4) | Online September 2021 21. a JISMO 2015 Mrs. Kato has a 144 cm-long ribbon to tie 2 cube-shaped gift boxes as illustrated below. If she uses 24 cm of the ribbon to make a knot, what is the length of one side of the cubeshaped gift box? A.20 cm 22. B. 12 cm C. 10 cm D. 15 cm By connecting the dots in the following figure, how many lines can be made? A. 12 lines JISMO 2021 B. 15 lines C. 9 lines D. 10 lines 7 JISMO M-4 (Mathematics Primary 4) | Online September 2021 ANSWER SHEET GRADE 4 MATHEMATICS Subject Code: M-4 RE - REGISTRATION Participants must fill in the followings for re-registration. GENERAL INSTRUCTIONS FOR ONLINE COMPETITION 1. Participants should use only pencils and Full name: ______________________ Registration: ______________________ 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 Grade: ______________________ School Name: ______________________ 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. 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. MULTIPLE CHOICES 21. 22. JISMO 2015 Invitation Letter for Simulation of The Competition Dear participants, Thank you for joining JISMO Online Spring 2022. The Spring 2022 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 2022. It will only take 20 - 30 minutes. You can even join it several times to gain more confidence and experience. We will conduct the simulation every Tuesday and Thursday starting from 3 Feb ’22 – 7 Apr ’22, however public holiday is not included. 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 hold the simulation from the following time. Be punctual with the scheduled time. We will start the simulation timely and will not admit anyone who joins late. 17:40 16:40 15:40 14:40 14:10 : : : : : Japan, Korea Singapore, Philippines, Malaysia Thailand, Indonesia, Vietnam Kyrgyzstan India Note: We start admitting participants 10 minute prior to the simulation. We close the registration at the following time 1 day prior to the simulation date you chose. (e.x., if you choose 3 Feb '22, the registration due is 2 Feb '22). We will email you the Zoom link and Password in the morning on the simulation day. • Registration closing time 1 day prior to the simulation date you chose: 20:00 : Japan, Korea 19:00 : Singapore, Philippines, Malaysia 18:00 : Thailand, Indonesia, Vietnam 17:00 : Kyrgyzstan 16:30 : India • Time to receive Zoom link on the simulation day: 11:00 : Japan, Korea 10:00 : Singapore, Philippines, Malaysia 09:00 : Thailand, Indonesia, Vietnam 08:00 : Kyrgyzstan 07:30 : India 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 JISMO Committee http://jismo-educational.org/ As of 1 December 2021 Online Competition Guidance and Rules for JISMO Spring 2022 Dear Teachers and Parents, Thank you for joining JISMO Online Spring 2022. 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 Competition Dates • March ’22 : 5, 12, 19, and 26 • April ’22 : 2 and 9 (Choose the most convenient Saturday for your children.) Requirements to Join JISMO Spring 2022 * Own a PC or laptop at home * Create a Zoom account with your full name for the display name * Have a stabilized and strong internet connection * Able to operate Zoom and Google Form independently JISMO Committee http://jismo-educational.org/ Competition Time Schedule Maths Before the Competition Day 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 2022 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/3B6JqRBPpqgxjKZS6 to get the time schedule. 3. Participants must ensure the camera setting to show their upper body via Zoom on the competition day. * See the attached picture. JISMO Committee http://jismo-educational.org/ On the Competition Day 1. JISMO Committee will invite participants by resending Zoom meeting link, ID and password to participants’ registered email addresses at the following time on the competition day. 10:00 : Japan, Korea 09:00 : Singapore, Philippines, Malaysia 08:00 : Thailand, Indonesia, Vietnam 07:00 : Kyrgyzstan 06:30 : India 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”. Pin JISMO invigilator’s video JISMO Committee http://jismo-educational.org/ ------→ Minimize Zoom Screen and Maximize Google Form 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. --> Share the whole screen 7. 8. 9. Participants must go to the toilet before the exam. Participants shall not switch off video during the competition. This will result in disqualification. Participants must be punctual with the exam time schedule. JISMO will start the exam timely and will not admit anyone who joins late. JISMO Committee http://jismo-educational.org/ JISMO Committee http://jismo-educational.org/ During The Competition 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 or 2 sheets 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. 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. 4. Participants are allowed to drink water during the exam. However, foods are not allowed. Disqualification 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. JISMO Committee http://jismo-educational.org/ Questions and Scores 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 forfor Test . Announcement testResults results School, Individual, and Legend awards winners will be announced on Tuesday, 26 April 2022 on JISMO website, http://jismo-educational.org. Virtual Award Ceremony . Announcement for test results Virtual Award Ceremony will be held via online on the following dates. Registration will be opened on 26 April 2022, and closed 3 days prior to the award ceremony date. The registration link will be announced on the competition results announcement day (26 Apr ‘22) on JISMO website. Wed, 11 May '22 Thur, 12 May '22 Fri, 13 May '22 Tue, 17 May '22 Wed, 18 May '22 • : Primary 6 : Primary 5 : Primary 4 : Primary 3 : Primary 2 Certificates and medals delivery schedule: 1 May ’22 – 30 Jun ‘22 We wish your children the best on the competition day. Sincerely yours, JISMO Committee LINE QR Code Viber QR Code JISMO Committee http://jismo-educational.org/ WhatsApp QR Code