Primary 6 - IMOCSEA Mock Test
National Round Guidelines:

Before the Examination:

1. Provide an official GMAIL ACCOUNT. Send it through IMOCSEA Committee’s email.
2. You will receive the examination and Zoom links 2 DAYS BEFORE the schedule date of the exam.  Use separate gadget for Zoom.
3. Wear your school uniform or proper attire during the examination.
4. Answer the MOCK TEST before the examination. Be ready. Be prepared.
5. Secure a stable internet connection. We don’t want the examiners to get low score for not taking it on time due to unstable internet connectivity.
6. Webcam will be required during the exam, secure one.  

During the Examination:

1. Be in the Zoom room 30 minutes before the examination or no later than 1:00 pm.  Rename your screen this way:  Grade Level-Complete Name [GRADE 2-ANTON REYES].
2. Check your email containing the examination link 2 days before the National Round.
3. Take the test for 90 minutes.
4. The examination can be opened at exactly 1:30 PM. The 90-minute timer will start at the same time.  You will see counter on top of your screen on the test interface.
5. The test is also accompanied by remote proctoring.  The system will ask you to provide access to your camera..
6. Provide access to share screen when asked by the system. Select “Entire Screen” we would know if you have selected chrome or tab only.
7. Switching screen tabs, browsing online sites, opening of social media sites and the like can be detected and is prohibited during the exam. Any form of cheating will not be condoned.
8. Your video will be evaluated after the examination. We encourage you to avoid unnecessary actions that may lead to disqualifications. Once found, the examiner will automatically give you zero score.
9. When you need to communicate with the proctor, use the Zoom chat box instead of your microphone.  Mute your microphone at all times.
10. IMPORTANT: Make sure to SUBMIT your test before the TIME lapses. Failure to do so will automatically set your score to zero.


After the Examination:

1. Leave the zoom room courteously.

Sign in to Google to save your progress. Learn more
Name:
Part I
Each question worth 3 marks.
*
3 points
Captionless Image
Brent can clear the weeds in a garden in 3 hours, while Charles can clear the same volume of weeds in 4 hours.  They can clear the weeds together for 2 hours and the combined volume of weeds cleared reduced by 30 kilograms per hour.  How many kilograms of weeds are in the garden? *
3 points
The product of 756 and a number N is a perfect cube.  Which of the following could be the value of N?  
3 points
Clear selection
The operation r ë s means (r + s)3 – (r – s)3.  This shows that 5 ë 3 = (5+3)3 - (5-3)3, thus, 5 ë 3 = 504.  If 2022 ë 2021 = x3 - 1, then what is the value of x?  
3 points
Clear selection
The pages of Ben’s Math Olympiad book are numbered from 1 to 250.   He noticed that there are missing consecutive pages starting with page 101 and found out that only 600 digits were used for the remaining pages.  How many pages of the book are missing?
3 points
Clear selection
The sides of triangle GLO are all integers. If GL = 15 cm, LO = 8 cm, and GO = w, find the sum of all possible values of w.
3 points
Captionless Image
Clear selection
The base of the isosceles triangle below is 36 cm.  Find its area in square centimeters.
3 points
Captionless Image
Clear selection
The two triangles below are similar.  The areas of the triangles are 4 m2 and 16 m2, respectively.  What is the ratio of the sides r and s of the triangles?
3 points
Captionless Image
Clear selection
The paper sheet below is folded as shown on the right.  Find the measure of angle A in degrees.
3 points
Captionless Image
Clear selection
3 points
Captionless Image
Clear selection
12321 is a palindrome number.  How many five-digit palindrome without zero digit are there?
3 points
Clear selection
A lucky number is one whose ones digit is equal to the sum of all other digits.  The numbers 123 and 358 are lucky numbers but 256 and 659 are not lucky numbers.  How many 3-digit lucky numbers are there?
3 points
Clear selection
Liza and her 4 friends Mila, Ness, Olive and Pat are playing Pass the Ball.  Mila is now in position of the ball and pass it to one of the girls.  How many possible ways will the ball land on Liza’s hands on the 5th throw?
3 points
Clear selection
The choices of dessert at a victory party are cake, ice cream, chocolate bar, apple pie, brownies, and macaroons.  If every guest is offered to choose only two desserts, what could be the minimum number of guests in the party to make sure that at least two guests chose identical pair of desserts?
3 points
Clear selection
A Mathematics competition test consists of 20 questions. Every correct answer is marked 3 points but for every incorrect answer or missed question there is a 1 point deduction.  If at least three participants get the same score, what is the least number of participants in the competition?  
3 points
Clear selection
Three-fourths of a box can be filled with 96 vanilla cupcakes.  It will become full when 8 vanilla cupcakes and 6 strawberry cupcakes are added.  If the same box will be filled with strawberry cupcakes only, how many pieces are needed?
3 points
Clear selection
Yule and Zen raced around a 600-m track.  Yule drives 90 kph while Zen drives 10 kph slower than Yule.  After completing several rounds, Yule travelled 800 meters farther than Zen.  How many rounds would Yule have completed by then?
3 points
Clear selection
To reach a grotto uphill, one must climb the 12 steps stairs by either 1 or 2 steps at a time.  However, the 5th and the 8th steps have mud, which must be skipped to avoid sliding.  In how many ways can someone reach the grotto?
3 points
Clear selection
2022 relief packages, numbered consecutively, were distributed to 7 devastated towns as shown below.  Which town received the 2022nd relief package?
3 points
Captionless Image
Clear selection
Refer to the pattern below to find the missing number.
3 points
Captionless Image
Clear selection
Next
Clear form
Never submit passwords through Google Forms.
This form was created inside of PAREF Westbridge School For Boys. Report Abuse