What is the value of 1 X 57 + 17 X x 43?

1. 
   What is the value of 51 x 57 + 17 x 3 x 43?
   

2. 
   Subtract the product of 35 x 35 from the product of 135 x 135. What is the result?
   

3. 
   What is the value of B in the number sentence below?
   

B x 21 + B x 89 － B x 10 = 1200

4. 
   What is the next number in the series?
   

5, 8, 14, 20, ___

5. 
   What is the sum of the number series 4 + 7 + 10 + 13 + . . . + 181 + 184?
   

6. 
   Cards A, B, C, and D have numbers 70, 81, 89, and 121 on it.
   

Card A contains the number equivalent to 3 x 3 x 3 x 3.
Card B contains a prime number.
Card D contains an even number.
What is the product of the numbers on Card B and C?

D

B

C

7. 
   If B is greater than A, what is B in AB x BA = 1729?
   

8. 
   When a 3-digit number is divided by 13 and 27, the remainder is 12. What is the greatest possible value of this number?
   

9. 
   The biggest number that can divide two numbers A and B is 17. The smallest number that can be divided by both A and B is 102. What is the value of B if A is 51?
   

10. 
    Natural numbers are arranged in a wave pattern as shown on the right. What is the first number that will appear on the 20^th row?
    

11. 
    During the PIMSO Finals in Boracay, Adam, Bryan, Charlene, David and Eden are queuing for their Philippine Eagle stuff toy. Charlene is second in the queue. Eden is right in front of Bryan but at the back of David. Adam is neither the first nor the last child in the queue. Who is the first child in the queue?
    

12. 
    Look at the number sentence below.
    

X = 196

+ + + =

Find the value of .

13. 
    Find the value of the digit I in the product of the multiplication sentence below.
    

C E
x C E

I C E

14. 
    In the number sequence below, find the difference between the 101^st and 100^th term.
    

0, 1, 2, 2, 4, 3, 6, 4, 8, 5, 10, 6, . . .

15. 
    Niel’s grandfather is 65 years old. If he is 9 years old now, in how many years later will his grandfather’s age be 5 times his age?
    

16. 
    In the figure below, if angle x measures 50.25 and angle y is a right angle, what is the measure of angle z?
    

17. 
    One of the interior angles of a regular polygon is 120. How many diagonals does this polygon have? (Hint: A diagonal is a line that joins any two opposite corners of the polygon.)
    

18. 
    The arrow in the figure below is reflected on the other side of the line and then rotated 90 degrees clockwise. What does it look like after the rotation?
    

19. 
    How many triangles are there in the figure?
    

20. 
    A pyramid has 6 vertices. What is the shape of its base?
    

21. 
    Observe the pattern below. The side of each square is 1 cm. How many colored squares are there in Figure 5?
    

Figure 1 Figure 2 Figure 3

22. 
    Rectangle ACDF has a perimeter of 44 cm. It is composed of five squares of different sizes. What is the area of square BCDE?
    

B

A

C

D

F

E

23. How many tiles of this shape can fit in the given grid?

24. Leonora may take either of the 4 routes to go to the park from school and either of the 3 routes to go home from the park. How many possible routes can she take to go home from school?

25. Gabriela has 2 pink shirts, 3 white shirts and 4 red shirts in her closet. If she will pick a shirt without looking, what is the chance that she will get a red shirt?
26. Basilio, Crispin, Ibarra, and Sisa are to be seated in row. How many ways can they be seated if Sisa has to sit on either ends of the row?

27. Gary has 3 black jeans, 2 blue jeans, 3 grey jeans, and 4 brown jeans in his drawer. Without looking, at least how many jeans must he get to have at least 2 jeans of the same color?

28. Ramon was asked to draw 2 cards from a shuffled face-down cards with numbers 1 to 8. What is the least number of cards that he needs to draw to have 2 cards whose sum is 11?

29. 
    If Robert, Audrey, Jane, Stephen and Ian are to be seated in a circular table, how many seating arrangements are possible?
    

29. 
    From a pool of five candidates, two pupils are chosen to be president and vice president of Sultan Kudarat Elementary School’s Supreme Pupil Government. How many ways can they be chosen?
    

C O N G R A T U L A T I O N S!
You already reached the end of this challenge. Mabuhay!