Road To ASMOPSS 2018 - Mathematics Primary [PDF]

Zitiervorschau

Road to ASMOPSS 2018 – Mathematics Primary 1. Indonesia got 31 gold medals out of 465 gold medals at the recent Asian Games. Which one of the following fraction is the closest approximation of the ratio of Indonesia gold medals to the total gold medals? A. B. C. D. E.

𝟏 𝟓 𝟑 𝟒 𝟑 𝟒𝟎𝟎 𝟏 𝟏𝟓 𝟏 𝟏𝟑

2. In the 2014 Asian Games 2014, Indonesia got 4 gold medals. How many percent is the increment of the gold medals in 2018 in respect to the result of 2014? A. close to 100% B. close to 200% C. close to 400% D. close to 700% E. close to 1000% 3. The number 𝟓𝟑 = 𝟏𝟐𝟓 consists of 3 digits. How many digits are there in the number 𝟓𝟖 ? A. 5 B. 6 C. 7 D. 8 E. 9 4. Given that 𝟕𝟑 = 𝟑𝟒𝟑, 𝟕𝟒 = 𝟐𝟒𝟎𝟏. What is the remainder of 𝟕𝟐𝟎𝟏𝟖 when divided by 100? A. 43 B. 49 C. 01 D. 07 E. 93 5. Numbers 4, 9, 36 are the examples of perfect square numbers. What is the smallest 𝒚 so that 𝒙 = 𝟐𝟎𝟏𝟖 × 𝒚 is a perfect square number? A. 𝟐 × 𝟏𝟎𝟎𝟗 B. 𝟒 × 𝟏𝟎𝟎𝟗 C. 𝟏𝟔 × 𝟏𝟎𝟎𝟗 D. 𝟏𝟎𝟎𝟗 × 𝟏𝟎𝟎𝟗 E. 𝟏𝟎𝟎𝟗

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Road to ASMOPSS 2018 – Mathematics Primary 6. The product of ages of Mr Eko’s children is 1920. It is known that the age of the oldest one is twice as much as the youngest one. How much is the sum of the ages of Pak Eko’s children? A. 40 B. 39 C. 38 D. 37 E. 36 7. Five people are competing in the running race. Before the race, Mr Jebret asked to 4 observers to predict the result of the race. • Observer 1: C will be at 4th place and A will bev at 2nd place • Observer 2: A will be at 3rd place and B will be at 4th place • Observer 3: E will be at 1st place and D will be at the 3rd place • Observer 4: B will be at the 3rd place and C will be at the 1st place After the race ended, it is known that each observer successfully has exactly one correct prediction. Who is in the 5th place? A. A B. B C. C D. D E. E 8. The number 10 can be written as the sum of identical numbers, such as 𝟓 + 𝟓 = 𝟏𝟎. Jojo wrote 2018 as the sum of identical numbers. He listed all the possible sums. How many ways Jojo can get these sums? A. 3 B. 4 C. 5 D. 6 E. 7 9. In the following quadrilateral 𝑷𝑸𝑹𝑺, it is given that the measures of angle ∠𝑺𝑷𝑸 = 𝟔𝟎° and ∠𝑸𝑹𝑺 = 𝟗𝟎°, while 𝑷𝑸 = 𝟏𝟎 cm, 𝑸𝑹 = 𝟖 cm, and 𝑹𝑺 = 𝟔 cm. Q

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Find the perimeter of quadrilateral 𝑷𝑸𝑹𝑺? A. 24 cm B. 30 cm C. 34 cm D. 36 cm E. 40 cm

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Road to ASMOPSS 2018 – Mathematics Primary 10. The average of the first 5 tests of Mpin is 80. After the 6th test, his average is increased by 2 points. After the 7th test, his average is increased again by 2 points. How much is his 7 test? A. 90 B. 92 C. 94 D. 96 E. 98 11. A grasshopper is moving along a number line. It can jump to the left or right. Each jump is 6 or 8 units. In which point it will never arrive if it started at 0 (zero)? A. 20 B. 24 C. 2016 D. 2017 E. 2018 12. In the square 𝑷𝑸𝑹𝑺, with area 100 cm2, 𝑺𝑴 = 𝟑 cm, and 𝑵𝑹 = 𝟐 cm.

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Find the area of triangle 𝑴𝑵𝑲 A. 100 cm2 B. 80 cm2 C. 50 cm2 D. 25 cm2 E. 12.5 cm2 13. Zohri has 4 different books in his bookshelf. He wants to rearrange his books such that no books are located in its previous place. In how many ways Zohri can rearrange his books? A. 6 B. 7 C. 8 D. 9 E. 10

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Road to ASMOPSS 2018 – Mathematics Primary 14. A prime number is called “Cihuy” if it is the only one number between a prime number and a perfect square. Number 80 is such an example, as 79 is a prime number and 81 is a perfect square number. How many 2 digit Cihuy numbers are there including 80? A. 4 B. 5 C. 6 D. 7 E. 8 15. In a the following diagram, 𝑃𝑄𝑅𝑆 and 𝐾𝑀𝑁𝑅 are squares, with 𝐾𝑀 = 8 cm.

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Find the area of triangle P𝐾𝑁? A. 16 B. 32 C. 64 D. 128 E. Can’t be determined because there is not enough information given. 16. Madam Susi bought 5 new mathematics books, all with different titles. She wants to distribute the to two classes. In how many different ways she can do this, if each class should receive at least 1 book? A. 32 B. 30 C. 25 D. 20 E. 15

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Road to ASMOPSS 2018 – Mathematics Primary 17. In the following diagram, 𝑃𝑄𝑅𝑆 is a rectangle, with 𝑆𝑅 = 10 cm dan 𝑃𝑆 = 8 cm. Quadrilateral 𝑄𝑇𝑈𝑆 is a parallelogram. P Q

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U Find the area of quadrilateral 𝑄𝑇𝑈𝑆? A. 20 B. 40 C. 60 D. 80 E. Can’t be determined because there is not enough information given.

18. A pool is being drained. The water decrease in a constant rate. 7

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At 8 am, the pool is 8 full, while at 9 am, it is 4 full. What time the pool will be empty? A. B. C. D. E.

9.24 9.48 10.12 10.24 10.36

19. It is given that the area of the small equilateral triangle is 1 cm2.

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P Q How much is the area of quadrilateral 𝑃𝑄𝑅𝑆? A. 10 B. 12 C. 14 D. 15 E. 16

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Road to ASMOPSS 2018 – Mathematics Primary 20. The distance between two nearest points is 1 cm.

What is the area of the shaded region? A. 3 B. 3.25 C. 3.5 D. 3.75 E. 4 . 21. If A. B. C. D. E.

2017 × 2019 2018

=

2017 + 2018

𝑘, find the value of 𝑘

2015 2016 2017 2018 2019

22. What is the value of:

A. B. C. D. E.

1 2018 2 1009 3 7 5 7 2017 2018

2014 + 2015 + 2016 + 2017 + 2018 2013 + 2014 + 2015 + 2016 + 2017 + 2018 + 2019

23. The number 124 is a 3-digit number where the sum of its digits is equal to 7. How many 3-digit numbers are there such that the sum of its digits is equal to 6? A. 12 B. 15 C. 18 D. 21 E. 24

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Road to ASMOPSS 2018 – Mathematics Primary 24. Ginting has a Rp 10.000,- note. He wants to change it into a smaller denomination. The notes which are available are Rp 5.000,- , Rp 2.000,- , and Rp 1.000,- notes. In how many different ways he can do this? A. l B. 5 C. 6 D. 7 E. 8 25. A YSI tribe has 3 different letters in their alphabetical system, Y, S, and I. A word is a sequence of arbitrary letters no longer than 4 letters. A word can consist of just 1 letter or use repeated letters. How many different words are there in the YSI language? A. 69 B. 110 C. 120 D. 130 E. 140

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Road to ASMOPSS 2018 – Mathematics Primary

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