# Problems And Answers PHIMO MOCK 2020 PRIMARY 3

The Philippine International Mathematical Olympiad (PhIMO) is the newest and most sophisticated international mathematics competition among Kindergarten to Grade 12 students.

The PhIMO is designed to honor the best learners in the world in mathematical problem-solving through friendly competition and foster cultural exchange among countries that participate therein.

Now in its 1st year, the PhIMO is being spearheaded by the Math Olympiads Training League Philippines, Inc. (MOTLI). (sc : www.phimo-ph.com)

Berikut ini Soal dan Kunci Jawaban PHIMO MOCK EXAM 2020, PRIMARY 3

1. Arrange the following in increasing order, then determine the sum of the greatest and the smallest number. (a) 15/8
(b) 15/16
(c) 29/8
(d) 15/4

C

2. ֍ and ⍟ are two prime numbers such that ֍ < 10 < ⍟. Find the smallest value of ֍ + ⍟.

(a) 11
(b) 2
(c) 13
(d) 15

C

3. There are 4 distinct rays in a plane having the same endpoint such as the figure below. How many differ-ent angles are formed? (a) 6
(b) 7
(c) 8
(d) 10

D

4. Below is a net of a cube. What number corresponds to the opposite side of 4? (a) 1
(b) 3
(c) 5
(d) 6

B

5. If the pattern 4, 8, 12, 16, 20, is continued, which of the following numbers would be one of the terms in the pattern?

(a) 22
(b) 30
(c) 50
(d) 60

D

6. The shortest route from Betty’s House to the Church is 4 blocks, while the shortest route from the playground to the church is 5 blocks. How many blocks corresponds to the shortest route from Betty’s House to McDonald’s if you can only go up, down, to the right or to the left? (a) 6
(b) 7
(c) 8
(d) 9

A

7. Equally spaced wooden posts are placed around the perimeter of a regular pentagonal field with side length equal to 10 meters. If the distance between two adjacent wooden posts is 2 meters, how many wooden posts were used? (a) 10
(b) 20
(c) 25
(d) 50

C

8. A runner can run 12 kilometres in 1 hour, how far can he run for 7/4 hours? (a) 20 km
(b) 21 km
(c) 22 km
(d) 23 km

B

9. James rolls a die and tosses two coins. How many possible outcomes are there in all? (a) 12
(b) 20
(c) 24
(d) 36

C

10. Suppose a coin is tossed three times, what is the probability of getting three tails?

(a) 1/8
(b) 1/4
(c) 1/2
(d) 3/8

A

11. What is the missing number represented by the special character? 19

12. A kangaroo is chasing a rabbit. The kangaroo starts at the 1st mark and jumps 4 meters every time while the rabbit starts at the 7th mark and jumps 3 meters every time. The distance between two adjacent marks is 1 meter. If they both started at the same time, how many jumps is required for the kangaroo to catch the rabbit? 6

13. If “−” means “+”, “+” means “−”, “×” means “÷”, and “÷” means “×”. What number should be placed in the box to make the following number sentence correct? 20

14. Amy made a new deck of 60 cards consisting of 4 suits – spades, hearts, clubs and diamonds. If there are equal number of cards for each suit, determine the minimum number of cards should be drawn to ensure that there is at least 1 card from each suit?

46

15. The blue and red bocks are stacked in an alternating position to form the figure below. How many blue blocks are there? 18

16. Find the number of triangles in the figure below. 39

17. What do you call a solid figure with no face, no vertex and no edge?

SPHERE

18. How many line of symmetry does the figure below have? 4

19. How many 2-digit numbers are there such that the units digit is greater than the tens digit?

36

20. Find the value of A. 5

21. Observe the following pattern and write the number that should be put on the blank to make the equation correct. 987654321

22. 5 towns are joined by a system of roads as shown:
How many ways are there to travel from town A to town C, if each town is passed exactly once? 3

23. A bullet train travels at a constant speed of 320 kilometers per hour. How far did the bullet train travelled if it left the station at 7:45 AM and reached its destination at 10:15 AM on the same day? 800

24. Kath is 16 years younger than Cathy. If the sum of their ages is 30, how old is Cathy? 23

25. A man on motorcycle can cover 45 kilometers in 50 minutes. How far can he travel in 1 hour? 54

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